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Estimating Plant Water Stress and Evapotranspiration using Very-High- Resolution (VHR) UAV Imagery Suyoung Park Submitted in total fulfilment of the requirements of the degree of Doctor of Philosophy June 2018 Department of Infrastructure Engineering The University of Melbourne

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Page 1: Estimating Plant Water Stress and Evapotranspiration using

Estimating Plant Water Stress and

Evapotranspiration using Very-High-

Resolution (VHR) UAV Imagery

Suyoung Park

Submitted in total fulfilment of the requirements of the degree of

Doctor of Philosophy

June 2018

Department of Infrastructure Engineering

The University of Melbourne

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ABSTRACT

Adequate and timely irrigation of crops is critical to maximise productivity and water

use efficiency. Thus, having a capability of monitoring crop water status based on real-time

monitoring can promise precise irrigation scheduling in a decision-making strategy.

Unmanned aerial vehicle (UAV) remote sensing becomes a readily usable tool for

agricultural water management with high temporal and spatial resolutions. This research

estimates crop water stress and evapotranspiration (ET) by integrating very-high-resolution

UAV imagery into crop water stress model and surface energy balance model in the aspects

of crop water status and water use. Thermal infrared (TIR) and multispectral (MS) imagery

from UAV systems are used as inputs of surface temperature and vegetation canopy

structure with the aim to employ the least ground-based measurements. In the first part of

the research, an adaptive estimation method of crop water stress index (CWSI) is proposed

to determine automatic and crop-property-specific thresholds of reference boundary limits

(Twet and Tdry). In the second part of the research, diurnal changes of plant water stress are

explored by a series of UAV sensing at different times of the day. In the last part of the

research, tree-by-tree instantaneous ET rate is estimated based on remote sensing energy

balance (RSEB) model, presenting water losses of individual plant and assessing the intra-

field variability of ET. This research contributes towards the improvement of the precise and

rapid estimation of the plant water stress level by a quantitative index: crop water stress

index (CWSI) using TIR-based UAV sensing in order to assess the spatial variability of

water stress over heterogeneous agricultural fields. In addition, this research contributes to

the analysis of the tree-by-tree ET which quantifies the plant water use as well as the

assessment of the intra-field variability of ET. The results of the research demonstrate that:

1) the adaptive CWSI method showed strong relationships with stem water potential (ψstem)

and stomatal conductance (gs) as plant physiological measurements. A higher correlation to

ψstem and gs was obtained than the single reference CWSI; 2) Diurnal CWSIs showed

significant correlation to gs according to the irrigation levels at three different times of the

day (from morning to afternoon); and 3) the estimated ET was obtained with a strong linear

relationship with leaf transpiration (Tr).

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DECLARATION

This is to certify that

1. The thesis comprises only my original work towards the degree of Doctor of

Philosophy except where indicated in the preface

2. Due acknowledgement has been made in the text to all other material used.

3. The thesis is fewer than 100,000 words in length, exclusive of tables, figures and

bibliographies.

Suyoung Park

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PREFACE

All the works presented in the thesis are original and were conducted during my PhD

candidature (2014-2018) at the University of Melbourne. The research was supervised by

Associate Professor Dongryeol Ryu and Doctor Sigfredo Fuentes from the University of

Melbourne, and Doctor Hoam Chung from Monash University.

This thesis is based on the published works from my PhD research. The contents such as

research ideas, approaches, algorithms and figures have appeared previously in the following

publications. Chapter 4 is reformatted from the original paper published in Remote Sensing in

2017.

Publications

• Park, Suyoung, Ryu, D., Fuentes, S., Chung, H., Hernandez, E., and O'Connell,

M. (2017). Adaptive Estimation of Crop Water Stress in Nectarine and Peach

Orchards Using High-Resolution Imagery from an Unmanned Aerial Vehicle

(UAV). Remote Sensing, 9, 1-15.

• Park, Suyoung, Nolan, A., Ryu, D., Fuentes, S., Hernandez, E., Chung, H., and

O'Connell, M. (2015). Estimation of crop water stress in a nectarine orchard using

high-resolution imagery from unmanned aerial vehicle (UAV). In T. Weber, M. J.

McPhee, & R. S. Anderssen (Eds.), MODSIM2015, 21st International Congress on

Modelling and Simulation (pp. 1413 - 1419). Canberra ACT Australia: Modelling

and Simulation Society of Australia and New Zealand.

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ACKNOWLEDGMENTS

I would like to thank my supervisors, A/Prof. Dongryeol Ryu, Dr. Sigfredo Fuentes

and Dr. Hoam Chung. A/Prof. Dongryeol Ryu as a primary supervisor has perfectly

guided my research, gave insightful suggestions on my research questions and

discussions, and always inspired and motivated me to conduct the research. Without his

continuous guidance, my PhD research would not be possible. I would like to express my

deepest appreciation and gratitude to Dr. Sigfredo Fuentes. His valuable advices

particularly on plant physiology and plant sensing led me to accomplish my PhD research.

I would also like to express my sincere appreciation and gratitude to Dr. Hoam Chung for

his valuable advices on many details of UAV remote sensing. With his constant

encouragement, I was able to devote myself to the research.

In addition, I would like to thank Prof. Andrew Western as the chair of my thesis

advisory committee. His valuable comments helped me to look into my research from

another perspective. Further, I am thankful to Dr. Mark O'Connell from DEDJTR, who

provided the experimental sites and gave valuable advices on the research, as well as Dr.

Lola Suarez who has encouraged my research. I wish to express my gratitude to my

friends Chih-chung Chou, Naveen Joseph, Yue Wang and all MESM group members.

Subsequent interactive discussions with them have helped me to broaden my knowledge

continually. Furthermore, I would like to express my deepest gratitude to Prof. Wooseok

Jo, who has been a tremendous mentor for me.

Finally, a special thanks to my parents and parents-in-law. They have always provided

me with endless love. Words cannot express how grateful I am to both of my parents for

all of the sacrifices that they have made on my behalf. My deepest thanks also go to my

younger brother and sister. They are my happiness, which anchors me to focus on my

research. Even though I tried to balance between study and family life, there was no

sufficient time and affordability for my family. Most of all, to my husband Junchul Kim,

who has given me a great support and immense encouragement to achieve my PhD study.

This thesis is dedicated to my lovely husband.

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ABBREVIATIONS

AGL above ground level

CI confidence interval

CPU central processing unit

CV coefficient of variation

CWSI crop water stress index

DEM digital elevation model

DGPS differential global positioning system

DN digital number

ET evapotranspiration

FOV field of view

GAF ground artificial feature

GCP ground control point

GMM Gaussian mixture modelling

GPS global positioning system

GSD ground sample distance

HRMET high resolution mapping of evapotranspiration

HS hyperspectral

IRT infrared thermometry

LAI leaf area index

LE latent heat flux

METRIC mapping evapotranspiration with internalized calibration

MODIS moderate resolution imaging spectroradiometer

MS multispectral

NDVI normalised difference vegetation index

NDWI normalised difference water index

NIR near infrared

NWSB non water stress baseline

OSAVI optimized soil adjusted vegetation index

PA precise agriculture

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PAR photosynthetically active radiation

PRI photochemical reflectance index

RANSAC random sample consensus

RDI regulated deficit irrigation

RDVI renormalised difference vegetation index

RS remote sensing

RSEB remote sensing energy balance

S-SEBI simple surface energy balance index

SC stomatal conductance

SD standard deviation

SEBAL surface energy balance algorithm

SEBM surface energy balance method

SIFT scale invariant feature transform

SR sub-regions

SVAT soil-vegetation-atmospheric transfer

SWP stem water potential

TCARI transformed chlorophyll absorption in reflectance index

TIFF tagged image file format

TIR thermal infrared

TSEB two source energy balance model

TT Tatura trellis

UAV unmanned aerial vehicle

VHR very-high-resolution

VI vegetation index

VIS visible

VISNIR visible and near infrared

VL vertical leader

VPD vapour pressure deficit

WARS wet artificial reference surface

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TABLE OF CONTENTS

1.1 Background ............................................................................................................................. 1

1.2 Research Motivations, Objectives and Questions ................................................................. 7

1.2.1 Research Problems and Motivations ............................................................................... 7

1.2.2 Research Objectives and Questions ................................................................................ 8

1.3 Structure of the thesis .......................................................................................................... 10

Chapter 2 : Literature review ..................................................................................................... 11

2.1 Estimation of crop water stress using remotely sensed data ............................................... 11

2.2 Estimation of evapotranspiration based on remote sensing approaches ............................. 16

Chapter 3 : Calibration of multispectral and thermal infrared cameras on-board UAV ..... 21

3.1 Introduction ....................................................................................................................... 21

3.2 UAV field campaign ............................................................................................................ 24

3.2.1 Study site ....................................................................................................................... 24

3.2.2 Data acquisition ............................................................................................................ 24

3.3 Camera lens calibration ....................................................................................................... 30

3.4 Radiometric calibration ....................................................................................................... 31

3.5 Band co-registration ............................................................................................................ 33

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3.6 Temperature retrieval .......................................................................................................... 35

3.7 Conclusion ........................................................................................................................... 36

Chapter 4 : Adaptive estimation of crop water stress in nectarine and peach orchards using

high-resolution imagery from an unmanned aerial vehicle (UAV) ....................................... 39

4.1 Introduction ........................................................................................................................ 39

4.2 Materials and Methods ...................................................................................................... 42

4.2.1 Study site description and experimental design........................................................ 42

4.2.2 Aerial thermal infrared imagery acquisition ............................................................. 45

4.2.3 Physiological data acquisition .................................................................................... 46

4.2.4 Aerial TIR image processing ..................................................................................... 47

4.2.5 Feature extraction ........................................................................................................ 47

4.2.6 Adaptive Crop Water Stress Index (CWSI) .............................................................. 48

4.3 Results ................................................................................................................................ 51

4.3.1 Canopy temperatures from sub-regions .................................................................... 51

4.3.2 Mapping adaptive CWSI ............................................................................................ 53

4.3.3 Validation of adaptive CWSI ..................................................................................... 54

4.4 Discussion .......................................................................................................................... 57

4.5 Conclusions ........................................................................................................................ 59

Chapter 5 : Relationship of CWSI-based plant water stress estimation with the data acquisition

times of the day ........................................................................................................................... 61

5.1 Introduction .......................................................................................................................... 61

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5.2 Methodology ........................................................................................................................ 62

5.2.1 Study site description .................................................................................................... 62

5.2.2 Data acquisition ............................................................................................................ 64

5.2.3 TIR image processing and plant water stress modelling .............................................. 65

5.3 Results and discussion ......................................................................................................... 67

5.3.1 Relationship of CWSI with midday stem water potential ............................................ 67

5.3.2 Relationship of CWSI with diurnal plant water stress .................................................. 69

5.4 Conclusions .......................................................................................................................... 74

Chapter 6 : Estimation of evapotranspiration in peach orchards using very-high-

resolution imagery from an unmanned aerial vehicle (UAV) ........................................... 75

6.1 Introduction ....................................................................................................................... 75

6.2 Methods and Dataset ............................................................................................................ 78

6.2.1 Study area ...................................................................................................................... 78

6.2.2 Data acquisition ............................................................................................................. 80

6.2.3 RS data processing and ET modelling .......................................................................... 83

6.3 Results and discussion ......................................................................................................... 89

6.4 Conclusions .......................................................................................................................... 95

Chapter 7 : Summary and conclusions ........................................................................................ 97

REFERENCES ........................................................................................................................ 101

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LIST OF TABLES

Table 3.1 Spectral bands of MS camera ...................................................................................... 26

Table 3.2 Specifications of MS camera ...................................................................................... 26

Table 3.3 Specifications of TIR camera ...................................................................................... 26

Table 3.4 The results of calibration parameters .......................................................................... 31

Table 3.5 Band alignment parameters ......................................................................................... 34

Table 4.1 Descriptions of sampled trees based on cultivar, training system and irrigation

treatment. ..................................................................................................................................... 45

Table 4.2 Classified sub-regions within the studied field based on crop cultivar and tree

training system ............................................................................................................................ 49

Table 4.3 Thermal values of canopy temperature using probability modelling.......................... 53

Table 5.1 Descriptions of irrigation level.................................................................................... 63

Table 5.2 Weather conditions at three times of data acquisition ................................................ 64

Table 5.3 Statistics of the extreme gs over all irrigation regimes at three times of the day ....... 72

Table 5.4 Statistics of the extreme CWSI over all irrigation regimes at three times of the day . 73

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LIST OF FIGURES

Figure 3.1 Work flow of calibration process for UAV-borne imagery ....................................... 24

Figure 3.2 Multispectral camera (Mini MCA6, Tetracam) ......................................................... 25

Figure 3.3 Thermal camera (A65, FLIR) .................................................................................... 25

Figure 3.4 Reflectance targets ..................................................................................................... 27

Figure 3.5 Location of reflectance targets and vegetation sampling points (in red dot) ............. 28

Figure 3.6 Design of ground control target (GCP)...................................................................... 28

Figure 3.7 Distributions of ground control points ....................................................................... 29

Figure 3.8 Design of ground feature target ................................................................................. 30

Figure 3.9 Reprojected calibration target .................................................................................... 30

Figure 3.10 Radial distortion map of band 2 ............................................................................... 31

Figure 3.11 Spectral signatures of calibration targets in black, gray and white ......................... 32

Figure 3.12 Linear regression result of band 4 (650 nm) ............................................................ 33

Figure 3.13 Linear regression result of band 6 (850 nm) ............................................................ 33

Figure 3.14 Band to band registration: left) original image; right) registered image ................. 34

Figure 3.15 Raw signal TIR image ............................................................................................. 36

Figure 3.16 Temperature-retrieved TIR image ........................................................................... 36

Figure 4.1 Canopy systems of the nectarine/peach trees in the study site: (a) Vertical leader;

(b) Tatura Trellis ......................................................................................................................... 43

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Figure 4.2 (a) Location of the study site, Stonefruit Field Laboratory orchard (Tatura,

Victoria. Australia); (b) Water deficit plots are presented in yellow, and control plots in blue.

T1-T8 represents each irrigation treatment and red dots represent the biophysical sampled tree

for each plot. Ground control point (GCP) targets in a black square with a white cross. ........... 44

Figure 4.3 (a) Example of the orthomosaic image; (b) extracted edges; (c) dilated edges; (d)

eliminated edges in the orthomosaic image ................................................................................ 47

Figure 4.4 Flow chart of the decision of adaptive reference temperatures based on sub-regions

(SR) ............................................................................................................................................. 50

Figure 4.5 (a) The orthomosaic image of surface temperature (°C) derived from thermal

imagery using UAV and classified sub-regions based on cultivars and canopy architectures;

(b) Mixture modelling in the entire site; (c) in the Nectarine trained to Vertical Leader ........... 52

Figure 4.6 (a) Adaptive CWSI map derived from UAV remote sensing using thermal infrared

images. Four dotted rectangles in red represent the area of deficit irrigation treatments and

four dotted rectangles in blue the full irrigation of control treatments.; (b) Example of CWSI

map depicting water deficit and control treatment groups for Nectarine VL (Vertical Leader);

(c) Examples of the pixel-level resolution of CWSI for T1 (in deficit) and T2 (in control)

sampled trees ............................................................................................................................... 54

Figure 4.7 (a) Relationship between stem water potential (ψstem) and CWSI of single reference

baseline; (b) relationship between ψstem and adaptive CWSI ................................................... 55

Figure 4.8 (a) Relationships between stomatal conductance (gs) and CWSI using the single

reference baseline method; (b) relationship between gs and CWSI calculated using the

adaptive method .......................................................................................................................... 56

Figure 4.9 Adaptive stem water potential map (ψstem; MPa) ....................................................... 56

Figure 5.1 (a) Study site location, Stonefruit Field Laboratory (Tatura, Victoria. Australia);

(b) Different levels of water deficit plots are presented in red (0 %), orange (20 %), green

(40 %), and blue (100 %) ............................................................................................................ 63

Figure 5.2 Flow of the CWSI estimation based on adaptive reference baselines ....................... 66

Figure 5.3 (a) Adaptive CWSI map derived from midday UAV remote sensing. The

rectangles in red represent the area of irrigation treatments; (b) Detailed CWSI map depicting

the experimental plots of W1 (20 % irrigation), W2 (0 %), W3 (40 %) and W4 (100 %) ......... 67

Figure 5.4 Relationship between stem water potential (ψstem) and CWSI at 12 h ....................... 68

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Figure 5.5 Differences between canopy and air temperature at three times of the day in

control (100 %) and deficit (0 %) plots ....................................................................................... 69

Figure 5.6 Relationships between stomatal conductance (gs) and CWSI: (a) results acquired at

9 h; (b) 12 h; (c) 15 h................................................................................................................... 70

Figure 5.7 Relationships between CWSI estimated at three times of the day and the stomatal

conductance ................................................................................................................................. 73

Figure 6.1 Research flow of data processing and ET modelling ................................................ 78

Figure 6.2 (a) Location of the study site, Stonefruit Field Laboratory orchard (Tatura,

Victoria. Australia); (b) canopy structures in Vertical leader (left) and Tatura Trellis (right). .. 79

Figure 6.3 Installed sensors to measure net radiation and micrometeorological data................. 80

Figure 6.4 Field description: (left) radiometric grey targets and temperature targets, the details

of sampling trees and meteorological tower; (right) the location of targets and sample trees .... 82

Figure 6.5 Surface temperature of the study area........................................................................ 84

Figure 6.6 The iterative method of calculating the sensible heat flux in HRMET model .......... 88

Figure 6.7 Tree-row map excluding soil background using histogram-based method: (a)

surface temperature map (°C) and; (b) NDVI map ..................................................................... 90

Figure 6.8 Relationship between NDVI derived from UAV sensing and LAI retrieved from

PAR measurements on the reference trees .................................................................................. 90

Figure 6.9 Tree-by-tree aggregated results: (a) surface temperature map (°C) and; (b) LAI

map .............................................................................................................................................. 91

Figure 6.10 The estimated ET map (mm/hr): (left) the ET distribution over the orchards;

(right) the tree ET which excluded background soil ................................................................ 92

Figure 6.11 Comparison between the estimated ET and leaf transpiration on the sample trees . 93

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Chapter 1 : Introduction

1.1 Background

Water scarcity is a critical factor that limits agricultural production. According to

projected climatic changes, agricultural drought periods over Australia can increase up to

20 % by 2030 (Glover et al., 2008). The effects of climate change on soil water balance and

plant transpiration have significant impact on crop productivity and quality under limited

water resources. Therefore, the efficient and adequate use of water in maximizing

agricultural productivity is becoming more critical. Many studies investigating the effect of

water deficit have revealed that the delicate water management based on soil-cultivar-

environmental specificity is one of the main factors that determines the quality and yield of

crops as well as water use efficiency (Osroosh et al., 2015). This is particularly seen in

high-valued horticultural crops, such as grapevine and olives. Thus, having the capability to

monitor water status (water stress) and losses (evapotranspiration) from crops on a regular

basis can assist irrigation managements in a decision-making strategy.

Monitoring water stress levels on crops

The demands of precise crop management have been rising to meet reliable supplies of

agricultural production as the world population and irrigated lands are increasing (Ihuoma

and Madramootoo, 2017). For suitable irrigation scheduling, monitoring water stress status

from crops is essential. However, timely detection of water stress on crop fields is a

challenging task since symptoms are visualized when crops are already in significant water

deficit stage. Monitoring water stress in crops as early as possible will be the key to keep

the crops in sustainably productive.

Many efforts to estimate water stress of crops have been made in agricultural science,

environmental engineering and biophysics. Early studies developed various indices for crop

water stress based on the energy balance among soil-plant-atmosphere using ground

measurements. In general, stomata from leaves start closing partially, when plants are in

water deficit state. It results in increases in leaf temperature due to reductions in

transpiration rate. Based on this phenomenon, Jackson et al. (1981) introduced a robust and

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reliable indicator, namely crop water stress index (CWSI) which represents the normalised

water stress from plants ranging from 0 (non-water-stressed) to 1 (high-water-stressed)

which can be used as a basis for irrigation scheduling. In general, the relationship between

temperature difference of canopy and air and vapour pressure deficit (VPD) is described in

terms of the energy balance theory in environmental biophysics. CWSI represents the ratio

of actual evapotranspiration (ETa) to potential evapotranspiration (ETp) of the plant, since

plants without water stress transpire fully at the ETp rate whereas the ETa of plants in water

stress decreases below ETp. Calculation of CWSI requires ground-based measurements of

meteorological data (canopy temperature, air temperature, vapour pressure deficit, and

aerodynamic resistance) and radiometric data (incoming solar radiation). A reformulated

CWSI was proposed based on the difference between canopy temperature (Tc) to the

reference temperature at full transpiration (Twet), which is normalised by the temperature

difference between the non-transpiring leaf temperature (Tdry) and Twet as the upper and

lower reference temperatures, respectively (Jones, 1992). Consequently, estimation of

CWSI requires the measurement of canopy temperature targeting dominant foliage, which

conventionally relies on manual or continuous point measurements. During the past

decades, the canopy temperature of the ground data was measured with a hand-held

infrared thermometer, targeting the dominant foliage for studies. However, this method is

labour-intensive, costly and impractical when monitoring large areas. Furthermore,

agricultural fields commonly present spatially heterogeneous biophysical conditions, which

result in spatial variation in the different water stress levels among crops/trees and even

within a plant (Moran et al., 1994).

Since numerous data from various remote sensing (RS) platforms have become

available, several studies of plant water stress have been conducted using remote sensing

imagery as a major input, aiming to replace ground-based measurements, and to make it

applicable to larger areas (Leinonen and Jones, 2004; Cohen et al., 2005; Alchanatis et al.,

2010; Fuentes et al., 2012). The approaches introduced in the studies can be classified into

two categories according to RS imagery: 1) vegetation reflectance characteristic-based

approach, which relies mostly on visible (VIS) or near infrared (NIR) imagery; 2)

temperature-based approach, which uses thermal infrared (TIR) imagery as an input to

surface temperature values in CWSI estimations.

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The reflectance characteristic approach is based on vegetation indices (VIs) to represent

canopy structures and greenness pigments affected by water stress on leaves. Numerous VI

s (> 100 indices) can be calculated by considering the different spectral wavelengths

obtained from the camera sensors (Xue and Su, 2017). The photochemical reflectance

index (PRI) can be an indirect indicator of water stress, since it is correlated with changes

in chlorophyll fluorescence and stomatal conductance under water stress conditions (Berni

et al., 2009b; Zarco-Tejada et al., 2012). The normalised difference vegetation index

(NDVI), the red-edge NDVI, and the optimized soil adjusted vegetation index (OSAVI)

can also be used to show the changes of canopy structures induced by water stress, since

those indices are correlated with leaf (or stem) water potential (Haboudane et al., 2002;

Gago et al., 2015). Overall, the above VIs are indirect tools to show water stress on leaves,

because changes of canopy structure or greenness caused by water stress are not shown

immediately by water stress, but by accumulated stress symptoms. This delay-in-response

issue of the VI-based methods makes it a sub-optimal tool for irrigation management.

As crops in water stress close stomata and reduce transpiration rate in leaves, the leaf

temperature becomes higher than non-stressed crops. This plant physiological effect shows

that the temperature-based approach (e.g., CWSI) is sensitive to the variability of water

status and can be a direct and early detector of water stress (Colaizzi et al., 2012; Ihuoma

and Madramootoo, 2017). Many remote-sensing CWSI approaches have focused on an

image-based analysis from near-ground or proximal platforms, assessing plant water status

at the crop level. These approaches use both VIS and TIR images to obtain the level of crop

water stress as a quantitative index, where the image co-registration method is applied to

delineate crop canopy pixels and to obtain crop temperature separately from soil

temperature (Möller et al., 2007). Recently, research on water stress detection with

unmanned aerial vehicles (UAVs) has been conducted, providing a platform to monitor

water status at field scale with higher spatial resolution (Berni et al., 2009b; Zarco-Tejada

et al., 2012; Bellvert et al., 2014; Poblete-Echeverría et al., 2016; Carlos Zúñiga et al.,

2017).

An approach of CWSI estimation employing solely TIR imagery was introduced in

order to eliminate the co-registration process with VIS imagery (Meron et al., 2010a). A

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statistic technique was employed to obtain canopy-related temperatures and lower reference

temperature (Twet) in TIR imagery. Later, the approach was evaluated by the conventional

methods to determine Twet based on: 1) wet surface temperature; and 2) energy balance

(Rud et al., 2014). These studies presented similar correlations to ground-truth data.

Therefore, the statistical CWSI reduces the amount of time of field work and calculation

complexity of CWSI, since it does not require either any meteorological data for energy

balance methods or an equipment of wet surface. However, determining an optimal

threshold to discriminate leaves from non-leaf material in histogram analysis is difficult

since it is associated with site-cultivar specificity.

Estimating evapotranspiration (ET) on crops

Estimating evapotranspiration (ET) is becoming in higher demand to understand the

sophisticated process of water losses in crops and to assess agricultural water demand/use

more accurately. Since plant ET gives information on water uptake and losses to the

atmosphere and availability, it plays a key role to plan an optimal irrigation management.

Estimations of field-based ET using weather based approaches, surface energy balance

methods (SEBM) and soil moisture measurements have been investigated and utilized in

spot (point) measurements for several decades (Nouri et al., 2015). The field-based ET has

a limitation when expanding the ET values over spatially large and heterogeneous area. In

particular, it is not feasible to produce ET variations within the area (Nouri et al., 2015).

With the consideration of spatial variations in land features (mixture of vegetated and soil

area), remote sensing (RS) based ET has been identified as one of the most reliable and

feasible methods for estimating ET at regional scales (Kustas and Anderson, 2009).

Especially, distributed ET values in the form of map, in which ET values are presented in

spatial domain, make it possible to access the spatial variability over the heterogeneous

crop fields in precise water management. Satellite images have been used as major input for

ET estimation for the past decades (Xia et al., 2016). In general, four categories have been

proposed as RS based ET methods (Courault et al., 2005; Nouri et al., 2015): 1) empirical

direct method using the direct relationship between ET and the combined RS and

meteorological data; 2) residual method of surface energy balance model; 3) vegetation

index method where a potential or reference ET is calculated from ground measurements

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and RS data is used to estimate crop specific factor (crop coefficient) and; 4) deterministic

methods based on Soil-Vegetation-Atmospheric Transfer (SVAT) model. Among the

different approaches, the residual method has been widely applied to estimate ET (or latent

heat flux, LE or λET), where ET is obtained as a residual in SEBM and while other energy

balance components (net radiation, sensible heat flux and soil heat flux) are estimated

based on the combined empirical and physical relationships (Kalma et al., 2008). The

residual method in SEBM employs remote sensing data as surface temperature input and

canopy structural characteristics derived from vegetation indices (e.g., normalised

difference vegetation index (NDVI) or leaf area index (LAI)).

The common techniques are the surface energy balance algorithm (SEBAL)

(Bastiaanssena et al., 1998), the simple surface energy balance index (S-SEBI) (Roerink et

al., 2000), the mapping evapotranspiration with internalized calibration (METRIC) (Allen

et al., 2007), and the two source energy balance model (TSEB) (Norman et al., 1995;

Kustas and Norman, 1999). The SEBAL, SEBI and METRIC require the presence of the

cold and hot references (pixels) within the image for estimating the ET. The two extreme

reference temperatures are allocated to set the limit of evaporative fraction (0 and 1) where

the latent heat flux (λET) is set to 0 in dry surface and sensible heat energy (H) to 0 in wet

surface, respectively (Bastiaanssena et al., 1998). On the other hand, the TSEB approach

does not require the extreme references within the image and partitions the sensible and

latent energy fluxes separately from canopy and soil in the one pixel (unit area). TSEB has

been proven as a reliable method to estimate E and T both for uniform and row-crop fields.

The common techniques were designed for estimating ET over a relatively large area

with the primary input images from satellites. The satellites have provided the visible and

near infrared (VISNIR) and thermal (TIR) bands with spatial resolution (30 m – 1.0 km),

e.g., Landsat 7 with VISNIR 30 m and TIR 60 m, Landsat 5 with 30 m and 120 m, and

MODIS with 0.5 km and 1 km. As demanding subfield-scale, even tree-level management

for a precise agriculture, the resolution of typical satellite data is, however, coarse to

provide fine information on plant water status and symptoms of vigoro and stress. In

addition, the temporal resolution is rather lower to capture a target area in a projected time

on demand, since typical satellites revisit cycle usually takes several days (Zipper and

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Loheide Ii, 2014; Ortega-Farías et al., 2016; Xia et al., 2016). High resolution TIR and

VISNIR imageries from a modern UAV sensing system can achieve less than 10 cm spatial

resolution depending on the flight altitude and camera sensor specifications (Berni et al.,

2009b; Zarco-Tejada et al., 2012; Roy and Ophori, 2014; Rud et al., 2014). The high

resolution imagery from the UAV makes it possible to interpret tree-level variabilities of

crop water uptake and status such as ET and water stress symptom, since precise canopy

extractions from soil background is feasible. In the case of heterogeneous fields (e.g., fruit

tree crops, the intra-field characteristics separately from tree row and inter-row are hardly

shown in the imagery from low resolution platform (Alessandro et al., 2015). On this

subject, the TSEB has been widely applied to partition the energy fluxes from tree (canopy)

and soil in the mixture pixels. As one of ET methods using a high resolution imagery,

Zipper and Loheide Ii (2014) introduced a combined model of one-source and two-source

scheme based on a pixel-based ET estimate, called High Resolution Mapping of

Evapotranspiration (HRMET). HRMET is designed to partition the available energy (net

radiation) to canopy and soil in a pixel and calculates the sensible and latent heat flux

iteratively.

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1.2 Research Motivations, Objectives and Questions

In this section, the research motivations are discussed based on current research

limitations and the research objectives are also addressed. The research questions are

defined in order to achieve the objectives.

1.2.1 Research Problems and Motivations

Presence of partial canopy and soil pixels

As introduced in the background, recent research on the CWSI and ET estimation has

been largely investigated using remote sensing data. However, a fundamental problem

associated with extracting canopy pixels (or temperatures) is the presence of mixed pixels

that represent partial coverages of both canopy and soil. The mixed pixels of thermal

imagery can cause significant biases in canopy temperature during midday when they are

included in the clusters of canopy pixels. Thus, the mixed pixels should be excluded to

reduce errors when determining canopy-related temperatures such as in the histogram-

based CWSI and ET estimation.

A single upper and lower reference

Typically, most methods of estimating the upper and lower reference temperatures

employ single values of Twet and Tdry as a reference. However, the reference value of Twet

and Tdry can change according to field circumstances. In the case of temperate tree crops,

orchards may contain several crop cultivars and canopy training systems even under the

same irrigation regime. Therefore, applying a single set of Twet and Tdry could result in

inaccurate and misleading CWSI, and do not reflect the actual water status, particularly in

the orchards with a combination of multi cultivars and different canopy structures.

The relationship of estimated plant water stress with data acquisi tion time of

the day

CWSI measured at midday is known to provide reliable information on daily plant

water stress. UAV remote sensing becomes a readily usable tool for precise agricultural

water management with high temporal and spatial resolutions. In terms of data acquisition

aspect, UAV sensing has also been limited to conduct at midday in most previous research

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in order to obtain the highest thermal contrast between canopy temperature and air

temperature, or soil background temperature. However, the relationship of CWSI-based

plant water stress with data acquisition time of the day has not been investigated yet.

Very-high-resolution ET

Remotely sensed ET has been known as a reliable method for estimating and mapping

ET at regional scales. Satellite images which have been used in ET estimation are relatively

low spatial resolution (0.1 – 1.0 km) such as Landsat and MODIS compared to airborne

images. Recently, very-high-resolution (VHR) TIR and VISNIR images from UAV

platform become available. It provides centimetre resolution in a pixel, enabling precise

canopy (leaf) extractions from soil background. However, current research on RS ET

utilizing VHR imagery is still on its early stage since 2015 and has not been fully

investigated in site/cultivar specific aspects.

1.2.2 Research Objectives and Questions

Considering the research limitations and problems identified above, this research is

divided into three main parts, in which a method of estimating plant water stress is

addressed and plant ET is modelled, in the aspects of crop water status and water

consumption, respectively.

Firstly, this research proposes an adaptive method of mapping high-resolution plant

water stress at field scale using infrared thermography on-board UAV, showing realistic

spatial representation of water status within plants. The research aims to develop an

automated method to interpret very high resolution data to obtain site/cultivar/canopy

structure-specific water stress. The sub-objectives are: 1) to propose an adaptive

methodology to determine the upper and lower references based on feature extraction and

probability modelling and; 2) to provide a practical method of water stress mapping,

utilizing a small number of ground truth biophysical measurements.

Secondly, this research investigates the relationship of CWSI-based plant water stress

and data acquisition time of the day. The research explores diurnal changes of plant water

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stress which are captured by a series of different UAV sensing times. The investigation

aims to evaluate the differences in sensitivities of thermal gradient and response that exist

within an orchard and the extent of differences in plant temperatures between well-irrigated

and water deficit orchard from morning to late afternoon.

Lastly, this research estimates tree-by-tree instantaneous ET rates based on a remote

sensing energy balance (RSEB) model, presenting water availability of individual plant

systematically for assessing the intra-field variability of ET at sub-field scale. The sub-

objectives are: 1) to estimate the energy balance components based on HRMET method

using VHR multispectral and thermal data from a UAV platform; and 2) to assess the intra-

field variability of tree-level ET derived from a tree segmentation method of representing

more realistic canopy structure per tree.

To achieve above objectives, the research addresses series of questions to be

investigated:

1. How can signal based-radiometric temperature captured by TIR camera be

accurately calibrated to retrieve actual temperature?

TIR sensing provides a radiometric temperature, emitted radiation from surface. The

radiometric temperature can be variable by view angle of TIR sensor, sensor

displacement (vignette), and surface emissivity. This means TIR-based leaf

temperature may not be representative of the absolute leaf temperature. Thus,

radiometric temperature should be calibrated.

2. How to improve current CWSI methods for accurate and reliable estimations?

a. Is it possible to employ a probability model to achieve an automatic decision

of upper and lower reference temperatures?

b. How do the characteristics of different cultivar and canopy training systems

effect the CWSI estimations?

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c. What is expected in a new adaptive method of CWSI proposed in this

research? Will the adaptive method improve the performance for estimating

CWSI in terms of accuracy and efficiency?

3. Can CWSI-based plant water stress be estimated anytime during the day?

a. How can behaviours of water stress during the day be interpreted with

precise sensitivity?

b. How does the CWSI estimated in morning or late afternoon correspond to

the CWSI estimated at midday for overcoming the limitation of data

acquisition time?

4. Can the current RS ET model be applicable to VHR sensing data and produce

accurate ET?

a. How can VHR sensing data be applied to the current ET model?

b. How to exclude the soil background effect in VHR data for individual plant

ET?

c. How can a more realistic canopy structure be coupled in the model as an

input?

1.3 Structure of the thesis

In the remainder of this thesis, Chapter 2 reviews related studies with comparisons and

discussions. Chapter 3 describes the characteristics of VHR sensing data from a UAV

platform and image calibration methods which are carried out in the research. Chapter 4

introduces a novel method of CWSI estimations. Chapter 5 presents diurnal changes of

plant water stress, estimated at the different sensing times. Chapter 6 describes VHR ET

estimation and mapping based on individual tree. Lastly, Chapter 7 summarizes the detailed

findings, discussions and conclusions, and future works are suggested.

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Chapter 2 : Literature review

This chapter reviews detailed background regarding various remote sensing methods

for plant water stress and evapotranspiration (ET). The review starts with the fundamental

research of crop water stress estimations in detail, then deals with ET models; applications

of remote sensing methods will be discussed based on relevant works in the aspects of their

differences and limitations.

2.1 Estimation of crop water stress using remotely sensed data

This chapter presents the related researches on plant water stress detection and

estimation using remote sensing methods. The methods are classified into two categories:

vegetation indices approaches in various spectral ranges and temperature-based approaches

using thermal infrared (TIR) range.

Visible-near infrared (VNIR) vegetation indices derived water stress

In general, plant pigments on leaves (e.g., xanthophyll and chlorophyll) absorb most

radiance in visible (VIS, 400 nm – 740 nm) wavelengths and reflect the absorbed radiance

in near infrared (NIR, 740 nm – 1200 nm) wavelengths. Water-stressed plants typically

show reduced reflectance in NIR due to a drop of photosynthetic absorbance (Kim et al.,

2011). Therefore, various methods for detecting water stress have been studied using

spectral vegetation indices combined VIS and NIR wavelength. In particular, with the

introduction of hyperspectral sensors that provide a large number of narrow bands, there

are more opportunities for analysing specific targeted wavelengths of vegetation and water.

Among the spectral indices utilizing narrow bands, the Normalized Difference Vegetation

Index (NDVI) with two very specific wavelengths of 750 nm and 705 nm, namely the Red

edge NDVI, showed a strong correlation (r = 0.94) with plant water stress (Kim et al.,

2011). The imagery from hyperspectral sensor, however, is very sensitive to ambient

illumination changes. For obtaining a valid dataset, the sensor requires frequent calibration

during data acquisition.

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Photochemical Reflectance Index (PRI) has been used as an indicator of photosynthetic

pigment changes in leaves to predict crop water stress. In a case study performed in a citrus

orchard, PRI showed a high correlation with plant-based water stress indicator (leaf water

potential and stomatal conductance) (Zarco-Tejada et al., 2012). An improved PRI has

been introduced namely Normalised Photochemical Reflectance Index (PRInorm) by Berni

et al. (2009b), which employs a new PRI normalised by Renormalised Difference

Vegetation Index (RDVI) and a red edge index. PRInorm presented a higher relationship

with plant-based water stress indicator since it is sensitive to detect the xanthophyll

pigment changes as well as reduced leaf area caused by water stress (Gago et al., 2015).

Other vegetation indices have been examined to present the possibility of detecting

plant water stress. Optimized Soil Adjusted Vegetation Index (OSAVI) and Transformed

Chlorophyll Absorption in Reflectance Index (TCARI) are the canopy structural indices,

which have presented better performances, minimizing soil reflectance effect unlike NDVI

(Haboudane et al., 2002; Zarco-Tejada et al., 2012). A ratio (TCARI/OSAVI) was

introduced by Haboudane et al. (2002) which was designed for predicting chlorophyll

content accurately. The ratio has also shown to be sensitive to changes of canopy structure

cover induced by plant water stress (Zarco-Tejada et al., 2012; Gago et al., 2015).

A normalised difference water index (NDWI) that employs two narrow NIR

wavelengths (0.86 and 1.24 μm) for estimating vegetation liquid water by satellite image is

proposed by Gao (1996). NDWI is a ratio of reflectance at two NIR wavelengths,

maximizing the differences between green and dry vegetation affected by liquid water

molecules in canopies. There would be a limitation to apply NDWI to entire crop field,

since the effect of soil surface reflectance as a background is also included in NDWI and it

results in negative outcome of analysis in water status of vegetation.

VNIR-based vegetation indices (e.g., NDVI, TCARI, OSAVI, and PRI) are good

indicators of detecting plant water stress, especially in monitoring changes for long term

stress at regional scale. In the case of broadband NDVI and narrowband Red edge NDVI,

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research showed that the reflectance changes were not significant in mild water-stressed

stage. Thus, the indices accommodated water stress symptoms better, after the moderate

water-stressed stage (Kim et al., 2011).

Temperature-based approach of estimating water stress

Canopy temperature-based methods have been acknowledged as a sensitive tool to

detect plant water stress (Cohen et al., 2005). Water stress effects on stomatal conductance

(SC) and leaf transpiration, resulting in increased canopy temperature. Instead of measuring

stomatal conductance directly using leaf gas exchange methods, the techniques using

infrared thermometry (IRT) to detect stomatal closure and estimate the conductance have

been introduced (Jones, 1999; Jones et al., 2002; Leinonen et al., 2006; Fuentes et al.,

2012). Direct measurements could be inconvenient when a large sampling volume of leaves

is necessary (Jones, 1999). The IRT concept is based on leaf temperature that tends to

increase when stomatal closure occurs, since it limits transpiration and hence, the cooling

effect of leaves. Based on this concept, Jones (1999) proposed an index ( 𝐼𝑔), which has a

direct linear relationship with stomatal conductance. The index (𝐼𝑔) has a sensitive

relationship with SC, even responding to relatively small variation of SC.

CWSI has been widely adopted as an indicator of plant water stress. CWSI theory is

based on the fact that leaf transpiration cools the canopy surface in non-water stressed

plant. The leaf transpiration drops and the canopy temperature increases in water-stressed

plant, as available water is depleted in root zone. Thus, CWSI is presented in a ratio of

actual evapotranspiration (ETa) to potential evapotranspiration (ETp) of plant (Jackson et

al., 1981). A linear relationship between canopy temperature (Tc), air temperature (Ta) and

vapour pressure deficit (VPD) was found (Idso et al., 1981) and developed an empirical

CWSI, which employs lower and upper baselines to estimate plant water stress as follows:

𝐶𝑊𝑆𝐼 = (𝑇𝑐−𝑇𝑎)−(𝑇𝑙𝑜𝑤𝑒𝑟−𝑇𝑎)

(𝑇𝑢𝑝𝑝𝑒𝑟−𝑇𝑎)−(𝑇𝑙𝑜𝑤𝑒𝑟−𝑇𝑎) (1)

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where, 𝑇𝑙𝑜𝑤𝑒𝑟: lower baseline equitant to the temperature of non-water-stressed canopy;

and 𝑇𝑢𝑝𝑝𝑒𝑟: upper baseline equitant to the temperature of water-stressed canopy

The lower and upper baselines present the 𝑇𝑐 − 𝑇𝑎 at potential ET rates in non-water-

stressed and water-stressed plant respectively. Later, Jones (1992) proposed a reformulated

CWSI from the empirical CWSI as follows:

𝐶𝑊𝑆𝐼 = 𝑇𝑐− 𝑇𝑤𝑒𝑡

𝑇𝑑𝑟𝑦− 𝑇𝑤𝑒𝑡 (2)

where, 𝑇𝑤𝑒𝑡: the temperature of non-water-stressed canopy and; 𝑇𝑑𝑟𝑦: the temperature

of water-stressed canopy

In the reformulated CWSI, 𝑇𝑤𝑒𝑡 and 𝑇𝑑𝑟𝑦 represent the reference temperature at full

transpiration and at non-transpiring leaf temperature as the lower and upper reference

temperatures, respectively.

During the past several years, researches on water stress estimation have been

investigated in different crops and improved in the use of RS imagery. First of all, the

research adopting both VIS and TIR imagery has been attempted to estimate crop water

stress (Leinonen and Jones, 2004; Möller et al., 2007). For the calculation of pure crop

temperature excluding the soil temperature, the co-registration method of VIS and TIR

imagery has been accepted widely. This enables to distinguish canopy cover area and soil

surface in VIS image, and then compute the canopy cover temperature in TIR image, which

is co-registered with VIS image. Despite the usefulness of combined two types of imagery

data, it rather requires time-consuming work of co-registration.

Histogram-based approach has been introduced to separate the canopy temperature

from soil temperature using TIR imagery solely (Meron et al., 2003; Meron et al., 2010a).

The method employs the pixel histogram of TIR image and uses a constant threshold (e.g.,

the coldest 33 % of the histogram) to obtain canopy-related temperatures in the histogram.

The threshold represents the boundary of vegetation and soil distribution in the histogram,

and the value is determined by statistical and empirical methods. The study showed that the

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process of CWSI estimation was facilitated and simplified, eliminating the need for image

processing with VIS image. However, the fine determination of threshold values to discard

non-canopy pixels in histogram analysis is required, depending on site specific crop types.

In addition, a fundamental problem associated with the histogram-based clustering of

canopy pixels and subsequent calculation of canopy temperatures is the presence of mixed

pixels that represent partial coverages of both canopy and soil. Due to the nature of RS

imagery, mixed pixels of canopy and non-canopy background (e.g., soil) exist along their

boundaries. The mixed pixels of thermal imagery can cause significant bias in canopy

temperature during midday when they are included in the clusters of canopy pixels.

Determination of Twet and Tdry for CWSI poses critical influence on the accuracy of

CWSI values as an indicator of crop water stress. The various methods have been proposed

and examined for accurate determination of lower and upper reference values. Twet can be

obtained by (1) the calculation of Non Water Stress Baseline (NWSB) in a linear regression

function between Tc – Ta and VPD (Jackson et al., 1981), (2) the temperature measurement

of wet artificial reference surface (WARS), acting as crops in abundant water status

regarded as the temperature of a fully transpiring crop (Meron et al., 2013), and (3) a

statistical method based on histogram analysis of canopy temperature (Rud et al., 2014;

Poblete-Echeverría et al., 2016). Rud et al. (2014) evaluated above three methods to

calculate Twet and subsequent CWSI, resulting that all forms of CWSI have similar

correlations with actual reference data. In other words, CWSI based on statistical analysis

does not require either meteorological data for energy balance method or an equipment of

WARS. This outcome enables time reduction of field-work and calculation complexity of

CWSI. As the upper reference, Tdry has been derived from (1) ancillary meteorological

variables based on isothermal radiation (Möller et al., 2007; Jones, 1999), (2) dry reference

leaf coated with petroleum jelly to prevent transpiration (Jones, 1999), and (3) an empirical

method by adding a fixed threshold (e.g., 5 °C) to Ta (Cohen et al., 2005; Irmak et al.,

2000; Rud et al., 2014; López-López et al., 2011). The determination of Twet and Tdry from

meteorological data or empirical method has been widely adopted. However, Twet and Tdry

change with weather condition and weather changes with time of day and location. Thus,

even for the same crop, different Twet and Tdry have been suggested from different places

(Yazar et al., 1999; Irmak et al., 2000).

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Due to the raising need of cost-effective and fast turnaround RS data acquisition,

recent research on water stress detection using UAV has been conducted, providing

detailed information of plant water status at field scale with higher spatial resolution

(Berni et al., 2009b; Zarco-Tejada et al., 2012; Rud et al., 2014; Poblete-Echeverría et al.,

2016; Carlos Zúñiga et al., 2017). An effort of finding an optimal UAV flight time was

made in UAV-based CWSI research, showing that midday UAV sensing promises the

optimal data acquisition, avoiding shade effects on the surface (Bellvert et al., 2014). Such

UAV-based methods will be a promising tool to detect plant water status with the

integrated technology, combining advanced image analytic algorithms and improved

camera systems (Gago et al., 2015).

2.2 Estimation of evapotranspiration based on remote sensing

approaches

Evapotranspiration (ET) is the most difficult, but necessary component to quantify in

hydrological balance cycle. Quantification of water loss from vegetation surface is a

fundamental requirement in irrigation scheduling at the local management with respect to

climate change in the global assessment (Nouri et al., 2015). In precise agriculture (PA),

plant ET measurement becomes important to understand the sophisticated process of water

consumption in crops, thus it assists to scheme a timely and optimal water management.

For several decades, field-based ET methods have been widely utilized for predicting

plant ET, which are mainly classified into weather based approaches, surface energy

balance methods (SEBM) and soil moisture measurements (Allen et al., 1998; Allen, 2000;

Zhao-Liang et al., 2009). The field-based methods are performed mainly by spot

measurements and have provided ET at local and regional scale by extrapolating technique.

Therefore, the field-based ET has a limitation when extrapolating the ET values over

spatially large area that contains micrometeorological changes. In addition, it is challenging

to access the inter- and intra-field variability of ET through the field-based approaches.

Remote sensing (RS) based-ET estimation has been introduced and improved with

various sensors. Satellite images have been used as major inputs of ET estimation for the

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last decade (Xia et al., 2016). RS based approach has been known as one of the reliable and

efficient methods for estimating ET at regional scales (Kustas and Anderson, 2009). As RS

has a capability of capturing the features of mixed landscape in partially vegetated surface,

RS based-approach is beneficial to estimate ET in heterogeneous surface in contrast to the

field-based ET. In particular, RS based-approach produces ET estimation as a map, which

presents ET values in pixels and shows the spatial variability over mixed landscape.

In general, four categories were proposed as RS methods for estimating ET namely: 1)

empirical direct method; 2) residual method; 3) inference method where a potential (or

reference) ET is calculated from ground measurements and RS data is used to estimate crop

coefficient and; 4) deterministic method based on Soil-Vegetation-Atmospheric Transfer

(SVAT) model (Courault et al., 2005; Calcagno et al., 2007; Nouri et al., 2015). In the

empirical direct method, ET is estimated directly from a simplified relationship between

ET and the combined RS data (e.g., TIR) and meteorological data (e.g., air temperature).

For example, a simple direct method was introduced and analysed, which relies on the

assumption that daily ET has a direct relationship with the difference of surface and air

temperature (Ts − Ta) at midday as shown in Equation 3 (Jackson et al., 1977; Seguin and

Itier, 1983).

𝐸𝑇𝑑𝑎𝑖𝑙𝑦 = 𝑅𝑛,𝑑𝑎𝑖𝑙𝑦 + 𝐴 − 𝐵(𝑇𝑠,𝑚𝑖𝑑𝑑𝑎𝑦 − 𝑇𝑎,𝑚𝑖𝑑𝑑𝑎𝑦) (3)

where, 𝐸𝑇𝑑𝑎𝑖𝑙𝑦: daily ET; 𝑅𝑛,𝑑𝑎𝑖𝑙𝑦: daily net radiation; 𝑇𝑠,𝑚𝑖𝑑𝑑𝑎𝑦: surface temperature

measured at midday; 𝑇𝑎,𝑚𝑖𝑑𝑑𝑎𝑦: air temperature measured at midday and; A and B:

coefficients

The method assumes soil heat flux is near zero (𝐺𝑑𝑎𝑖𝑙𝑦 = 0) as daily sum and the ratio

𝐻 𝑅𝑛⁄ is the constant value during the day. A and B are coefficients, determined site-

specifically as calibration parameters. The method showed up to 10 % accuracy of ET

estimation when the calibration parameters were empirically well-calculated at a local

scale. Another empirical direct method has been explored based on the relationship

between NDVI and Ts (Moran et al., 1994; Carlson et al., 1995). The method relies on the

fact that the amount of vegetation (e.g., NDVI) affects the ET quantity, and ET is

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associated with surface temperature. In other words, as vegetation coverage increases, more

ET is expected, and the surface temperature tends to be lower. The method showed that the

relationship between surface temperature and NDVI is strong, but varies in seasonal

changes (Carlson et al., 1995; Yuan and Bauer, 2007).

The residual method uses the surface energy balance model (SEBM) and has been

widely utilized to estimate ET, where ET is obtained as a residual (latent heat flux, LE or

λET) in SEBM and while other energy balance components (net radiation, sensible heat

flux and soil heat flux) are estimated based on the combined empirical and physical

relationships as follows (Su, 2002; Kalma et al., 2008):

𝜆𝐸𝑇 = 𝑅𝑛 − 𝐻 − 𝐺 (4)

Where, 𝜆𝐸𝑇: latent heat flux (W/m2); 𝑅𝑛: net radiation at the surface (W/m2); 𝐻:

sensible heat flux to the air (W/m2) and; 𝐺: soil heat flux (W/m2)

The residual method in SEBM employs remote sensing data to obtain surface

temperature and canopy structural characteristics derived from vegetation indices (Yuei-An

and Kumar Kar, 2014) and; to estimate Rn and G (Bastiaanssena et al., 1998). Extensive

researches have been explored using different techniques: 1) Surface Energy Balance

Algorithm for Land (SEBAL) (Bastiaanssena et al., 1998); 2) Surface Energy Balance

System (SEBS) (Su, 2002), Surface Energy Balance Index (SEBI) , Simplified Surface

Energy Balance Index (S-SEBI) (Roerink et al., 2000) and; 3) Two Source Energy Balance

(TSEB) (Norman et al., 1995; Kustas and Norman, 1999). First of all, SEBAL is designed

to estimate ET at regional scale with minimum ground data. Surface temperature, incoming

solar radiation, NDVI, and threshold values (wet and dry) are required for the model. The

threshold values are two extreme reference temperatures inside the target area which are

allocated to set the limit in dry surface (λET = 0) and wet surface (H = 0). Based on the

concept of wet and dry thresholds to sensible heat flux calculation, SEBS algorithm

estimates evaporative fraction and turbulent fluxes using RS data (e.g., Ts, albedo, NDVI,

emissivity), meteorological data (Ta, air pressure, relative humidity, wind speed), and

radiation data. SEBI and S-SEBI have been developed to estimate ET from RS data,

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following after SEBAL. S-SEBI model is a simplified model and requires only RS data

without any further information, because the method determines wet and dry thresholds by

the minimum and maximum reflectance of temperature in the target image. Thus, the

method can show reliable result, when wet and dry surface extremes exist in the target area.

On the other hand, TSEB does not require the surface extreme within the image. As a dual-

source model, it partitions the sensible and latent energy fluxes separately from canopy and

soil. The TSEB has been proven as a reliable method to estimate E and T both for

vegetated area and bare soil (Xia et al., 2016). In particular, the model shows better ET

estimation than general single-source model in bare soil. In the case of vegetated surface,

however, it could be a heavy process in terms of operational ET estimation due to complex

parameterizations compared to single-source model (French et al., 2015; Xia et al., 2016).

For the past decades, satellite imagery has been a primary input to estimate ET over a

relatively large area. In general, the spatial resolution of satellite TIR imagery is coarser

than 60 m (e.g., Landsat 7) and the revisit cycle takes several days (e.g., 16 days of Landsat

8). The current UAV sensing has provided very-high-resolution (VHR) imagery down to

sub-centimetre spatial resolution, depending on the flight altitude and camera sensor

specifications (Berni et al., 2009b; Zarco-Tejada et al., 2012; Roy and Ophori, 2014; Rud

et al., 2014). In addition, UAV sensing can capture a target area in a projected time on

demand with high temporal resolution (Zipper and Loheide Ii, 2014; Ortega-Farías et al.,

2016). Furthermore, the operation of UAV sensing is cost-effective and the onboard

camera system (e.g., TIR, MS, hyperspectral sensor) can be selective according to the

research purpose (Brenner et al., 2017). With the rapid growing attraction and interest

towards UAV sensing, several researches on ET estimation have been investigated with the

present energy balance models during the past few years (Zipper and Loheide Ii, 2014;

Hoffmann et al., 2015; Ortega-Farías et al., 2016; Xia et al., 2016; Brenner et al., 2017).

However, capability and limitation of UAV sensing is still being figured out in the aspects

of data consistency of acquisition, software development of data processing and quality

assessment of data. Subsequently, research on energy fluxes estimation from UAV sensing

is still in its early stage and needs to be further investigated and validated (Hoffmann et al.,

2015; Brenner et al., 2017).

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Chapter 3 : Calibration of multispectral and thermal infrared

cameras on-board UAV

3.1 Introduction

This chapter first discusses the overview of the existing camera calibration methods for the

use of UAV systems. Then it describes the proposed calibration methods and experimental

results conducted in this research in the following sub-chapters. The geometric calibration is

performed to calculate camera orientations and distortion parameters. Reflectance and

temperature parameters are obtained in radiometric calibrations in order to improve the quality

of the multispectral (MS) and thermal infrared (TIR) images acquired from the UAV. In

addition, as a post-processing step, the spatial co-registration method (simply, called band to

band registration) is introduced.

Recently, UAV platforms become popular in scientific image acquisition with various

sensors such as MS, hyperspectral (HS) and TIR cameras due to their large potentials in

agricultural applications such as orchard mapping (Johnson, 2003), quantitative monitoring of

agricultural crop (Lelong et al., 2008), rangeland monitoring (Rango, 2009), vegetation vigour

monitoring (Berni et al., 2009a; Dunford et al., 2009) and estimating leaf specific-pigment e.g.,

leaf carotenoid content (Zarco-Tejada et al., 2013).

In the case of MS and TIR sensors, non-metric digital cameras are generally used in UAV

payload systems and are widely used in photogrammetric applications. These digital cameras

require geometric and radiometric calibrations for determining their orientations and improving

the quality of their imagery (Douterloigne et al., 2009; Pérez et al., 2012; Kedzierski and

Wierzbicki, 2015). Although the use of multiple sensors at the same time increases the remote

sensing capability of UAV systems, the integration of multi-sensors provides challenges in the

spatial co-registration of multiple bands and different image sensors.

Since the camera calibration is one of the main topics in remote sensing (Hastedt and

Luhmann, 2015), many studies have introduced various camera calibration techniques over the

past years. With regards to the method of camera calibration, the aspects of the complex but

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precise calibration were discussed (Mason et al., 1997), while simple calibration techniques

were introduced (Karras and Mavrommati, 2002). Moreover, several methods for the camera

calibration using pattern recognition techniques have been addressed (Douskos et al., 2007;

Grammatikopoulos et al., 2007; Honkavaara et al., 2006; Remondino and Fraser, 2006; Zhang

et al., 2010; Zhang, 2000).

Geometric calibration

In general, low-cost digital cameras have serious issues of geometric instability and limited

accuracy. Therefore, the geometric calibration is required to improve the quality of acquired

images.

The intrinsic property of a camera is described by several parameters: focal length (f);

principal point (xp, yp), pixel size (sx, sy); lens distortion coefficients (in general, represented as

the term of ki and pi) and others (e.g., affinity) (Luhmann, 2006). The principal point represents

the centre of the projection of the image (Clarke et al., 1998) and the lens distortion is defined

by radial distortion ( ki) and tangential distortion (pi) (Williams, 2005). Radial lens distortion is

presented in the form of barrel distortion while tangential distortion is very small in magnitude

(Fraser, 1997).

Radiometric calibration

The radiometric calibration is based on the radiometric behaviour of the captured imagery in

the different regions of the spectrum in which data has been recorded (Del Pozo et al., 2014).

This behaviour relies on the characteristics of the camera sensors as well as the weather

conditions (Biggar et al., 2003). An empirical line approach has been introduced and a vicarious

calibration model based on the empirical approach has been proposed, comparing magnitudes to

field-based measurements (López et al., 2011; Moran et al., 2001). As laboratory calibration is

not always valid under the field conditions such as illumination change, the vicarious

calibration model that takes into account the flight conditions by using natural surfaces or

artificial targets is broadly used (Honkavaara et al., 2009). As the result of the calibration,

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physical quantities (or, reflectance) can be identified in units of radiance (Wm−2sr−1nm−1)

(or, %) for all pixels.

Mosaicking and co-registration

To generate a geo-referenced orthoimage from multi-sensors such as various MS and TIR

images, a co-registration or mosaicking process is often required as in the post-processing.

Mosaicking is conducted to merge consecutive images to produce a large single orthomosaic.

Co-registration is to match images from different sensors in pixels or in geo-referenced

coordinates. The co-registration methods have been employed to combine MS and TIR imagery

taken from UAVs (Bendig et al., 2012; Berni et al., 2009a; Bryson et al., 2013). However, there

is still a lack of discussion related to the co-registration accuracy in their experiments.

There are also various methods for mosaicking UAV imagery (Laliberte, 2008; Laliberte et

al., 2010; Mitch et al., 2010; Turner et al., 2014b; Turner et al., 2012). Nowadays, UAV-

oriented photogrammetric software packages provide an automatic mosaic generation from

UAV imagery, such as PhotoScan (Agisoft LLC, Russia) and Pix4D (Pix4D SA, Switzerland).

Apart from commercial software, some researchers have developed the mosaicking software

and utilized it in the research (Turner et al., 2014a) using the existing image-based matching

algorithms such as the Scale Invariant Feature Transform (SIFT) (Lowe, 1999) matching. To

reduce false matches which cause alignment errors, a Random Sample Consensus (RANSAC)

algorithm (Fischer and Bolles, 1981) is widely used.

In this chapter, MS and TIR camera calibration methods and their test results using imagery

acquired in UAV experiments are briefly described as a preliminary step for the following core

chapters (Chapters 4, 5 and 6). The aim of these experiments is to eliminate errors contained in

imagery and to increase the accuracy and quality of MS and TIR imagery. The sub-objectives

are: 1) to calculate camera internal orientation and distortion parameters using geometric

calibration; 2) to obtain reflectance in each band of MS imagery using empirical radiometric

calibration; 3) to co-register MS bands using spatial transformation method; and 4) to compute

calibrated temperature per pixel from TIR imagery. Based on these objectives, the work-flow is

designed as shown in Figure 3.1.

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Figure 3.1 Work flow of calibration process for UAV-borne imagery

3.2 UAV field campaign

3.2.1 Study site

The experiment was conducted on 18th of October 2014 at Mace wheat site (80 m × 170 m)

at the University of Melbourne Dookie campus, Victoria, Australia. Mace wheat variety was

applied in three treatments: variable nitrogen, control and diseased plots with three repetitions

of each treatment. The nitrogen plots were applied by a standard level of nitrogen dose (100 kg

N/ha) with the zero nitrogen level plots acting as a control for the trial. The disease plots were

inoculated naturally; all other plots were sprayed with fungicide to avoid infection. However,

natural disease did not appear at the time.

3.2.2 Data acquisition

3.2.2.1 Aerial imagery acquisition

A multispectral (Mini MCA6, Tetracam) camera and a thermal infrared (A65, FLIR) camera

were carried by the UAV platform (Figure 3.2 and Figure 3.3). Three flights were conducted at

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midday with a cloudless cover to minimise shadows and illumination changes between flights.

The UAV flew at a speed of 2 ms-1 at an altitude of 90 m above ground level (AGL) with a

sufficient percentage of forward and side image overlap (60 – 80 %) in order for feature

matching and mosaicking in post processing.

Figure 3.2 Multispectral camera (Mini MCA6, Tetracam)

Figure 3.3 Thermal camera (A65, FLIR)

The MS camera consists of six discrete bands which capture the reflectance at blue, green,

red and near-IR spectral bands as shown in Table 3.2. The spatial resolution is 1280 × 1024

pixels with a focal length of 9.6 mm. The specifications of MS camera are presented in Table

3.2. The TIR camera captures temperature with spectral range of 7.5 – 13 µm, a spatial

resolution of 640 × 512 pixels, a focal length of 9 mm, and a field of view of 69 ° (H) × 56 °

(V) as summarised in Table 3.3.

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Table 3.1 Spectral bands of MS camera

Channel Filter(nm) Band width

0 530 10

1 470 10

2 570 10

3 650 10

4 760 10

5 850 10

Table 3.2 Specifications of MS camera

Parameter Value

Num. of Channels 6

Weight 0.7 kg

Image resolution 1280 × 1024

Radiometric resolution 10 bits

Speed 1.3 fps

Pixel size 5.2 μm

Focal length 9.6 mm

Table 3.3 Specifications of TIR camera

Parameter Value

Object temperature range -40 °C to 160 °C

Focal Plane Array Uncooled VOX microbolometer

Weight 0.2 kg

Image resolution 640 × 512

FOV 25 °(H) × 20 °(V)

Image frequency 9 Hz

Pixel size 17 μm

Focal length 25 mm

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3.2.2.2 Ground-based measurements

Ground data were collected as close as possible to the time of aerial data acquisition and

were used to correlate spectral measurement to biophysical parameters. Field spectral

measurements on calibration targets were collected using a spectroradiometer (Fieldspec, ASD

Inc.). Radiometric calibration was conducted to retrieve the reflectance from radiance at sensor

in each camera. This calibration process makes it possible to calculate the precise vegetation

indices based on reflectance values. For the radiometric calibration, three reflectance targets in:

white, gray and black (Figure 3.4), water body, and vegetation were used for an empirical line

calibration. The empirical line calibration method was used to fit multispectral digital number

(DN, pixel value) value to field level reflectance. The measurements for each target were

carried out at least three times to apply the averaged data to fit DN to reflectance. Figure 3.5

shows the field design for the deployment of reflectance targets and vegetation sampling points

(in red dot), measured by the spectroradiometer.

Figure 3.4 Reflectance targets

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Figure 3.5 Location of reflectance targets and vegetation sampling points (in red dot)

Targets of Ground Control Points (GCPs) were designed for image spatial resolution as well

as visibility of all the bands of MS camera and TIR camera. In particular, the target material is

made of aluminium sheet which can be detected as a dark target in the TIR image due to low

emissivity characteristics. Figure 3.6 shows the design of GCP target.

Figure 3.6 Design of ground control target (GCP)

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The location and the number of GCPs in the test field were chosen according to the field of

view (FOV) of MS and TIR camera. Total 24 GCPs were installed in the study site and

surveyed using a Differential GPS (DGPS) with 3 cm standard deviation error. Figure 3.7

shows the deployment of 24 GCPs and surveying results.

Figure 3.7 Distributions of ground control points

Since the test site was a homogenously vegetated field covered by wheat, there were not

many distinctive features for the automatic matching procedure of the bundle adjustment.

Therefore, two types of artificial features, coated by aluminium foil, were designed and

randomly distributed at the site to assist the matching (Figure 3.8).

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Figure 3.8 Design of ground feature target

3.3 Camera lens calibration

Calibration of each camera of MS sensor was conducted to remove the lens distortion as

well as to calculate focal length and principal point of each camera. A chess-board target (750 ×

330 mm) was designed and captured by each camera with 20 different roll and pitch angles to

produce convergent images. An open source tool, Camera Calibration Toolbox (Matlab,

Mathworks Inc., Matick, MA. USA), was adopted to calculate internal orientation and distortion

parameters. In Figure 3.9, target images of the master camera (band 1) are shown which were

re-projected by the calibration result.

Figure 3.9 Reprojected calibration target

Table 3.4 shows the calibrated parameters of MS sensor with 6 bands. Radial distortion

coefficients were chosen up to the second order to be able to use the third degree of polynomial

equation. The degree of lens distortion was the highest in band 4, while the distortion of band 2

was the least. Figure 3.10 illustrates the radial distortion map of band 2 camera.

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Table 3.4 The results of calibration parameters

Camera k1 k2 p1 p2 f x y

Band 1 -0.09941 -0.09852 -0.00611 0.00113 1938.57 741.36 461.84

Band 2 -0.05935 -0.03630 -0.00634 0.01392 1895.72 726.25 447.85

Band 3 -0.06930 -0.26784 -0.0116 0.01404 1952.36 776.47 442.32

Band 4 -0.18046 0.43793 -0.00579 -0.00752 1908.98 715.76 455.62

Band 5 -0.15228 -0.05768 -0.01205 -0.00041 1899.24 701.08 459.22

Band 6 -0.16713 0.07478 -0.0097 0.00313 1931.01 699.78 470.84

Figure 3.10 Radial distortion map of band 2

3.4 Radiometric calibration

For the radiometric calibration, various features such as calibration targets, water body and

natural vegetation surface, were used and their radiometric values were measured by a

spectroradiometer. The DN values of each image were obtained in accordance with the same

locations to the filed measurements. The three graphs in Figure 3.11 show spectral signatures of

calibration targets, which were acquired in the field measurement and used as inputs of

radiometric calibration. The black and gray targets show consistent reflectance values with 0.06

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and 0.33 over the spectral wavelength of the MS sensor (400 nm – 900 nm). The reflectance of

the white target was fluctuated in two green bands and the reflectance value was saturated.

Thus, the white target was excluded in the radiometric calibration.

Figure 3.11 Spectral signatures of calibration targets in black, gray and white

An empirical line calibration using linear regression model was carried out to calculate the

first order coefficients to convert DN to reflectance at each sensor. Figure 3.12 and Figure 3.13

show the results of linear regression between DN and reflectance of band 4 (650 nm, red) and

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band 6 (850 nm, NIR). Those red and NIR bands are commonly used to calculate vegetation

indices (e.g., NDVI), and should be calibrated to obtain accurate indices.

Figure 3.12 Linear regression result of band 4 (650 nm)

Figure 3.13 Linear regression result of band 6 (850 nm)

3.5 Band co-registration

In post processing, band to band registration was conducted, since the MS camera sensor

consists of six different sensors which are placed in different locations of the camera’s main

body. Band to band registration is a procedure that aligns all six sensors on a plane, resulting in

position-aligned bands for colour composition map or thematic map. In this experiment, band 1

was set to the master band as a reference plane. Other bands were assigned to slave bands, then

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all slave bands were aligned to the master. To align all the sensors, the method of affine

transformation was used and parameters (scale, rotation and translation) were considered.

Firstly, scale and rotation factor between the master and the slave sensors were measured. Then,

images corrected by scale and rotation (namely, scale- and rotation-free images) were produced

using an image processing software (PixelWrench2, Tetracam). In the next step, each x and y

translation factors between the master and the slave cameras were measured. Table 3.5 shows

the results of band to band alignment parameters.

Table 3.5 Band alignment parameters

Band no. Rotation Scaling Trans X Trans Y

Master 1 - - - -

Slave 2 -0.325 1.007772 -6 -5

Slave 3 -0.988 1 0 -1

Slave 4 -0.834 1.001717 -2 0

Slave 5 -0.065 1.001717 -2 -2

Slave 6 -0.415 1.005168 -4 -5

After co-resignation, master and slave images were integrated into multi-page TIFF format

using PixelWrench2. True colour composition images were produced as a result of band to band

registration, showing that the edges of objects (e.g., black and white target) in the image were

correctly matched (Figure 3.14).

Figure 3.14 Band to band registration: left) original image; right) registered image

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3.6 Temperature retrieval

Temperature calibration of TIR images using the measured temperature of the ground target

was carried out to retrieve temperatures of surface. TIR images were obtained in 14-bit raw

format of signal-based values emitted from the objects. The raw TIR images were processed

with the customized code in Matlab R2014b (Mathworks Inc.) and converted to 14-bit

temperature-based data using the manufacturer (FLIR Systems) register values. To retrieve

accurate temperatures from the raw signal data, the temperature values of calibration targets

such as water body, bare soil, and vegetation were measured with a hand-held infrared

thermometer concurrently with the UAV operation over the experimental site. Equation 3.1 and

Equation 3.2 are the formulas of one-point calibration for retrieving the adjusted surface

temperature provided by FLIR systems (FLIRSystems, 2013).

𝑂𝑎𝑑𝑗𝑢𝑠𝑡𝑒𝑑 = 𝑆 −𝑅

𝑒(𝐵/𝑇𝑘𝑛𝑜𝑤𝑛) − 1 (3.1)

𝑇𝑎𝑑𝑗𝑢𝑠𝑡𝑒𝑑 (𝑖𝑛 𝐾𝑒𝑙𝑣𝑖𝑛) =𝐵

log(𝑅

𝑆− 𝑂𝑎𝑑𝑗𝑢𝑠𝑡𝑒𝑑+1)

(3.2)

where S is a 14-bit raw signal value, T an object temperature, R a constant for converting

flux to temperature derived from Planck’s constant h, B a constant derived from Boltzmann’s

constant and Planck’s constant h, O an offset (signal to radiance). The temperature of the

calibration target was used to calculate the adjusted offset parameter (𝑂𝑎𝑑𝑗𝑢𝑠𝑡𝑒𝑑), and then

adjusted temperature was obtained.

As a result, a raw TIR image and a temperature-retrieved image are presented in Figure 3.15

and Figure 3.16, respectively.

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Figure 3.15 Raw signal TIR image

Figure 3.16 Temperature-retrieved TIR image

3.7 Conclusion

This chapter described the technical methods of image calibrations and their test results. The

calibration experiment was conducted by UAV-based imagery and field-based measurements.

Various targets (e.g., chess-board, reflectance target, GCP, GAF and temperature target) were

designed and used to conduct the calibration. Fieldworks such as GPS survey, GCP installation,

targets deployment, spectral measurements were carried out to accommodate with camera

specifications and UAV flight plan. After acquiring UAV-borne images, post-processing was

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carried out to calibrate the images in geometric and radiometric aspects. The empirical line

method was applied to accomplish the radiometric calibration. Radiometric coefficients were

estimated using relationships between spectrum measurements of reflectance targets (and

natural feature targets) and corresponding DN values of images. Throughout the radiometric

calibration process, it allowed to extract quantitative data from the imagery acquired from UAV

with the determination of the radiometric calibration parameters. Some challenges, however,

appeared in radiometric calibration process. The white calibration target was saturated up to

maximum DN value due to high reflective characteristic.

In another post-processing, band co-registration was conducted in order to eliminate the

band misalignment. As a result, single mosaic image with multi-layers was produced in multi

TIFF. Nevertheless, there exists a limitation related to the presented band registration method.

Since the method is based on 2D planar geometry, the identified parameters are more or less

affected by the camera geometry in 3D space. In other words, when UAV-borne images are

taken with significant variations of flight height or tilted angle, parameters for the band

registration should be re-calibrated. As a future work, co-registration methods to accommodate

3D geometry (e.g., bore-sight calibration) will be investigated in order to calculate invariant

parameters under any circumstance.

Lastly, since the research was conducted by numerous series of images from multiple

sensors installed on UAVs, all imagery data required significant pre- and post- processing

procedures. In particular, TIR images often changed with different temperature ranges due to

histo-adjustment of brightness of image when captured. Thus, manual image-by-image

corrections were often required in the research. A feature-matching-based method is considered

as a future work to adjust the temperature changes of consecutive TIR images systematically.

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Chapter 4 : Adaptive estimation of crop water stress in

nectarine and peach orchards using high-resolution

imagery from an unmanned aerial vehicle (UAV)

4.1 Introduction

According to projected climatic changes, agricultural drought periods over Australia

can increase up to 20 % by 2030 (Glover et al., 2008). Climate change effects on soil water

balance and plant transpiration can impact crop productivity and quality significantly. Both

quality and yield of crops can be enhanced by adequate and timely irrigation based on real-

time monitoring of water status without increasing the level of agricultural water used.

Such improvements in water use efficiency include changing irrigation frequency to match

crop water requirement that maximizes yield and quality. As an efficient indicator of crop

water status, crop water stress index (CWSI) has been introduced based on the difference

between foliage and air temperature (Idso et al., 1981; Jackson et al., 1981). Jones (1992)

proposes a reformulated CWSI by the difference between canopy temperature (Tcanopy) to

the reference temperature or threshold temperature at full transpiration (Twet), which is

normalised by the temperature difference between the non-transpiring leaf temperature

(Tdry) and Twet as the upper and lower reference temperatures, respectively. Consequently,

estimations of CWSI require the measurement of canopy temperature targeting dominant

foliage, which conventionally relies on manual or continuous point measurements.

However, the ground-based handheld thermography approach is labour-intensive, costly

and impractical when monitoring large areas, furthermore agricultural fields commonly

feature spatially heterogeneous biophysical conditions and spatial variation exists in water

stress levels between crops/trees and even within a plant (Moran et al., 1994).

Since numerous data from various remote sensing platforms have become available,

several studies of crop water stress have been conducted using remote sensing images as a

major input, aiming to simplify the calculation of CWSI, to replace ground-based

measurements, and to make it applicable to larger areas (Leinonen and Jones, 2004;

Alchanatis et al., 2010; Fuentes et al., 2012). Furthermore, research on water stress

detection with unmanned aerial vehicles (UAV) has been recently conducted, providing a

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platform to monitor water status at field scale with higher spatial resolution (Berni et al.,

2009b; Zarco-Tejada et al., 2012; Bellvert et al., 2014). In addition, research on combining

remote sensing data and ground-based data in vineyards has been also carried out to predict

water status at temporal and spatial basis (Acevedo-Opazo et al., 2010; Acevedo-Opazo et

al., 2013).

Many remote-sensing CWSI approaches have focused on an image-based analysis from

near-ground or proximal platforms, assessing plant water status at the crop level. These

approaches use both visible and thermal infrared images to obtain the level of crop water

stress as a quantitative index, where the image co-registration method is applied to

delineate crop canopy pixels and to obtain crop temperature separately from soil

temperature (Möller et al., 2007). The canopy-related temperature is derived from the

thermal image, in which non-canopy temperature such as soil is masked out by the co-

registered visible image based on colour segmentation. Despite the advantages in obtaining

canopy pixels, the co-registration is often time-consuming. In order to eliminate the co-

registration process and consequently to facilitate the estimation of stress index, a

histogram approach using only thermal images has been proposed. In the approach, an

individual histogram of each thermal image is analysed to distinguish between canopy-

related pixels and non-canopy pixels by empirical or statistical methods (Meron et al.,

2010b; Rud et al., 2014). However, a fundamental problem associated with the histogram-

based clustering of canopy pixels and subsequent calculation of canopy temperatures is the

presence of mixed pixels that represent partial coverages of both canopy and soil. Due to

the nature of raster imagery, mixed pixels of canopy and non-canopy background such as

soil exist along their boundaries. The mixed pixels of thermal imagery can cause significant

bias in canopy temperature during midday when they are included in the clusters of canopy

pixels. Thus, the mixed pixels should be excluded to reduce errors in the histogram-based

analysis when determining canopy-related temperatures.

In addition to the delineation of canopy pixels, determination of Twet and Tdry for CWSI

poses critical influence on the accuracy of CWSI values as an indicator of crop water

stress. Determination of Twet can be made by several methods such as (1) non water stress

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baseline (NWSB) by a linear regression function between Tcanopy – air temperature (Tair)

and vapour pressure deficit (VPD) (Jackson et al., 1981), (2) wet artificial reference surface

(WARS), acting as crops in abundant water status regarded as the temperature of a fully

transpiring crop (Meron et al., 2013), and (3) a statistical method based on histogram

analysis of canopy temperature (Rud et al., 2014; Poblete-Echeverría et al., 2016). Tdry can

be derived from (1) ancillary meteorological variables based on isothermal radiation

(Möller et al., 2007; Jones, 1999), (2) dry reference leaf coated with petroleum jelly

(Vaseline) to prevent transpiration (Jones, 1999), (3) an empirical method by adding a fixed

threshold (such as 5 °C ~ 7 °C) to Tair (Cohen et al., 2005; Irmak et al., 2000; Rud et al.,

2014; López-López et al., 2011), and (4) a statistical method based on histogram analysis

of canopy temperature. Rud et al. (2014) compared three methods to calculate Twet – from

WARS, a method based on energy balance, and a statistical histogram approach – and

showed that all CWSI values have similar correlations with actual reference data. Since

CWSI based on statistical analysis does not require either any meteorological data for

energy balance method or equipment for WARS, it reduces the time related to field work

and the CWSI calculation complexity. The statistical histogram approach however would

provide a valid range of CWSI values only when representative wet and dry references are

available in the scene. For example, if all the crops are under either appropriate water

supply or water stressed, the statistical approach alone can yield a biased result in the

CWSI calculation. Although the method proposed here is not applicable to an area of

similar levels of water stress (uniform temperatures), it still remains a practical method to

estimate CWSI across an area where canopies representing different water stress levels

exist. In addition, the limitations associated with the representative reference temperature

could be alleviated using a minimum number of ground truth data (i.e., stem water potential

or stomatal conductance). Since the biased results are shifted and scaled from true results,

the general water stress model can be adjusted by a simple relationship between CWSI and

the ground truth data.

Most estimation of the upper and lower reference temperatures employs single values of

Twet and Tdry as a reference. However, the reference value of Twet and Tdry can change with

field circumstances. In the case of temperate tree crops, orchards may contain several crop

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cultivars and canopy training systems even under the same irrigation regime. Therefore,

applying a single set of Twet and Tdry could result in inaccurate and misleading CWSI which

do not reflect the actual water status, particularly in the orchards with a combination of

multi cultivars and different canopy structures.

Thus, this study proposes a new method to estimate CWSI. The main goal is to develop

an automated method to interpret very high resolution data to obtain water stress indices at

field scale by using UAV-borne sensing at near real-time window, for early detection of

water stress in crops. This method can be used to guide optimal irrigation management and

to regulate crop quality and yield. The specific objectives are: 1) to develop an adaptive

methodology to obtain Twet and Tdry based on feature extraction and probability modelling.

The proposed method does not require any artificial references or meteorological data to

determine the reference baselines, since it is based on classification of sub-regions which

have the same property in an entire field, employing automated thresholding of Twet and

Tdry for each sub-region and; 2) to provide a practical method which can show realistic

representation of the water stress map of plants at high-resolution, utilizing a small number

of ground truth biophysical measurements.

4.2 Materials and Methods

4.2.1 Study site description and experimental design

4.2.1.1 Site description

The site is a nectarine/peach orchard (0.97 ha, 138 m × 70 m), located near Tatura,

Victoria, Australia (36°26'08"S, 145°16'13"E, 114 m AMSL) and administrated by the

Department of Economic Development, Jobs, Transport and Resources (DEDJTR). The

region has a temperate climate with average annual rainfall of approximately 480 mm.

Annual average reference crop evapotranspiration is approximately 1190 mm (Allen et al.,

1998). A nectarine (Prunus persica (L.) Batsch cv. Autumn Bright) and a peach (Prunus

persica (L.) Batsch cv. August Flame) were planted in the winter of 2013. The experiment

was carried out on the 22nd of February 2015. The nectarine and peach were at full leaf-up

and late maturity phenological stage (i.e. stage 3 of fruit growth). Both cultivars are spaced

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at inter-row distance of 4.5 m and 1.0 m between trees with rows orientated in a north –

south direction on a fine sandy loamy Shepparton soil. Trees are trained to two canopy

systems: vertical leader and Tatura trellis (Figure 4.1). For the Tatura trellis trees, the

canopy dimension of each leader was approximately 1.85 m high and 0.5 m wide. For

vertical leader trees, canopy dimensions were approximately 2.0 m high and 0.8 m wide.

(a)

(b)

Figure 4.1 Canopy systems of the nectarine/peach trees in the study site: (a) Vertical

leader; (b) Tatura Trellis

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(a)

(b)

Figure 4.2 (a) Location of the study site, Stonefruit Field Laboratory orchard (Tatura,

Victoria. Australia); (b) Water deficit plots are presented in yellow, and control plots

in blue. T1-T8 represents each irrigation treatment and red dots represent the

biophysical sampled tree for each plot. Ground control point (GCP) targets in a black

square with a white cross.

4.2.1.2 Experiment design

The study site contained eight experimental plots (Figure 4.2), where control and deficit

treatments were applied as irrigation regime (Table 4.1). A drip irrigation system was used

along the tree lines spaced at every 0.5 m with an emitter flow rate of 1.6 Lh-1. Irrigation

amount was based on a crop water use (crop evapotranspiration, ETc) model (Allen et al.,

1998) in four control plots and the remainder of orchards. Four deficit plots were imposed

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by withholding irrigation through valves for five days prior to the UAV sensing and

ground-based measurements. Each plot contained at least 20 trees.

Table 4.1 Descriptions of sampled trees based on cultivar, training system and

irrigation treatment.

Plot Crop Cultivar Tree Training Treatment

T1

Nectarine 1

Vertical Leader Deficit

T2 Vertical Leader Control

T3 Tatura Trellis Deficit

T4 Tatura Trellis Control

T5

Peach 2

Tatura Trellis Deficit

T6 Tatura Trellis Control

T7 Vertical Leader Control

T8 Vertical Leader Deficit

1 Prunus persica (L.) Batsch cv. Autumn Bright, 2 Prunus persica (L.) Batsch cv.

August Flame

4.2.2 Aerial thermal infrared imagery acquisition

4.2.2.1 Aerial images

A multi-rotor unmanned aircraft (S900 manufactured by DJI) was used to carry payload

with a thermal infrared (TIR) camera (A65, FLIR Systems, Inc.) to measure canopy

temperature. The TIR camera was integrated with an on-board computer and GPS for geo-

tagging. The TIR camera captures temperature with spectral range of 7.5 – 13 µm, thermal

sensitivity of < 0.05 °C at +30 °C, a spatial resolution of 640 × 512 pixels, a focal length of

25 mm, and a field of view of 25 ° (H) x 20 ° (V). Images were acquired across the entire

study site at nadir view angle at midday with a cloudless sky to minimize shadows casted

by the crop canopy and to capture the period of peak ETc and likely symptoms of water

stress. The UAV was flying at a speed of 2 ms-1 at an altitude of 90 m above ground level

(AGL) with the footprint of 39.2 m × 31.3 m and ground sample distance (GSD) of 6.12

cm, considering sufficient image overlaps for photogrammetric processing.

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4.2.2.2 Ground targets

Regular surface patterns of orchards can cause an ill-conditioned image matching

between consecutive images due to either lack of key points (interesting points) or

mismatched points. Thus, two types of ground target, ground control point (GCP) and

ground artificial feature (GAF), were designed for a reliable photogrammetric bundle

adjustment with a large number of consecutive images. In particular, the GCP target was

made of an aluminum sheet with a size of 0.6 x 0.6 m. Since aluminum material has a low

emissivity, the target appears distinctively as a cold object in thermal imagery. In total, 24

GCPs were distributed in the site (Figure 4.2) and surveyed by a differential GPS (DGPS)

with higher than 3 cm positional accuracy. The GAF targets were made of aluminum

coated cardboard with various shapes (triangle, trapezoid, and rectangle), and were

randomly distributed across the site at known locations and configurations in order to

enhance image matching quality in consecutive TIR images.

4.2.3 Physiological data acquisition

4.2.3.1 Leaf temperature and gas exchange measurements

Leaf temperature for the calibration of TIR images was measured on five sunlit leaves

and five shaded leaves per plot (n = 10 leaves × 8 plots = 80 observations), using a

handheld infrared thermometer (TN410LCE, ZyTemp, Radiant Innovation Inc.) within a

40-minute time window during the UAV image acquisition. Stomatal conductance (gs, mol

m-2 sec-1) and transpiration rate (E, mmol m-2 sec-1) were measured on three mature and

fully expanded sunlit leaves, corresponding to the fifth leave from the tip of a main shoot,

per plot (n = 3 leaves × 8 plots = 24 observations) using a portable photosynthesis system

(LI-6400, LI-COR Inc., Lincoln, Nebraska, USA) during midday (solar noon) at the same

time of aerial image acquisition.

4.2.3.2 Stem water potential measurements

Stem water potential (ψstem, MPa) was measured on two fully expanded shaded leaves

per plot (n = 2 leaves × 8 plots = 16 observations) during midday using a Scholander

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pressure chamber (Model 3000, Soil Moisture Equipment Co., Santa Barbara, CA, USA).

The leaves were selected from branches near the main trunk and were covered with an

aluminum foil bag for a minimum of one hour of equilibration time, prior to the

measurement of ψstem.

4.2.4 Aerial TIR image processing

All TIR images were captured in a 14-bit raw signal format of signal-based values

emitted from the objects. The raw images were converted to 16-bit temperature-based

images by using a customized code written in Matlab R2014b (Mathworks Inc., Matick,

MA. USA). A one-point calibration method (FLIRSystems, 2013) was used to retrieve the

adjusted surface temperature using an averaged canopy temperature of a sampled tree,

which was measured with the handheld infrared thermometer concurrently with the UAV

operation. All consecutive images were processed via aerial image triangulation with the

geo-tagged flight log and the GCPs by using a photogrammetric software (PhotoScan,

Agisoft LLC, Russia). Digital elevation model (DEM) was generated based on the point

cloud which is a set of matching points between overlapping images. Then, a georeferenced

orthomosaic was built using the DEM as the surface parameter in the software.

4.2.5 Feature extraction

(a)

(b)

(c)

(d)

Figure 4.3 (a) Example of the orthomosaic image; (b) extracted edges; (c) dilated

edges; (d) eliminated edges in the orthomosaic image

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Mapping CWSI requires extraction of canopy pixels to sample canopy temperature

values excluding soil and other non-leaf materials. Inclusion of non-canopy temperature

can result in significant errors in the interpretation of CWSI. However, the extracted

canopy pixels may contain ‘edge pixels’ that feature mixed canopy-soil temperature values.

The edge pixels typically show higher temperature than pure canopy pixels during midday

periods. Tree rows were oriented north-south in the study site, the majority of edges ran in

corresponding direction in the orthomosaic image (Figure 4.3.a). An edge detection method,

combined Sobel and Canny, was applied to exclude ambiguous mixed pixels in the canopy-

soil boundary in Matlab R2014b (Figure 4.3.b). Sobel and Canny are designed to detect the

gradient changes maximally to edges in vertical and horizontal directions (Raman and

Himanshu, 2009). Other common existing edge methods such as Prewitt and Roberts can

be also applicable, however the combined Sobel and Canny outperformed the other options

in detecting tree boundaries along the rows in the orthomosaic image. The detected edges

were then dilated for more conservative exclusion of the mixed pixels, which were

distributed up to six pixels across the edges, along the direction of thermal gradient (Figure

4.3.c). Finally, the pixels of edges were masked out from the original orthomosaic image

(Figure 4.3.d).

4.2.6 Adaptive Crop Water Stress Index (CWSI)

As mentioned above, orchards may have a number of cultivars and tree training systems

that have an impact on thermal responses. Applying a single set of Twet and Tdry over the

entire area may result in non-representative water stress indices due to an inaccurate

normalised span of CWSI. For instance, the range of CWSI can be shifted, shrunk, or

extended resulting in an inconsistent indicator of the actual crop water status. In this study,

an adaptive scheme that utilizes multiple sets of reference Twet and Tdry for heterogeneous

field conditions is proposed. The proposed method is based on dividing the entire field into

sub-regions which can be classified with the same properties (Table 4.2).

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Table 4.2 Classified sub-regions within the studied field based on crop cultivar and

tree training system

Sub-region Crop cultivar Tree Training

1. N_VL Nectarine Autumn Bright (N) Vertical Leader (VL)

2. N_TT Nectarine Autumn Bright (N) Tatura Trellis (TT)

3. P_TT Peach August Flame (P) Tatura Trellis (TT)

4. P_VL Peach August Flame (P) Vertical Leader (VL)

4.2.6.1 CWSI calculation

The CWSI algorithm applied in the study was suggested by Jones (1992), which can be

represented as follows:

𝐶𝑊𝑆𝐼 = 𝑇𝑐𝑎𝑛𝑜𝑝𝑦 − 𝑇𝑤𝑒𝑡

𝑇𝑑𝑟𝑦 − 𝑇𝑤𝑒𝑡

(4.1)

where Tcanopy is canopy temperature from the aerial TIR image, Twet the temperature of a

fully transpiring leaf or lower reference, and Tdry is the temperature of a non-transpiring

leaf, also considered as upper reference.

4.2.6.2 Adaptive 𝑻𝒘𝒆𝒕 and 𝑻𝒅𝒓𝒚

A specific statistical analysis is proposed to estimate adaptive thresholds of Twet and Tdry

based on sub-regions (Figure 4.4). Firstly, a temperature histogram is generated from TIR

image subset of each sub-region. This study assumes that Twet can be taken from the coldest

part of the histogram from TIR image (Rud et al., 2014) and Tdry is also the temperature of

a non-transpiring leaf, which can be derived from the highest part of the histogram.

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Figure 4.4 Flow chart of the decision of adaptive reference temperatures based on

sub-regions (SR)

The histograms feature distinctive bimodal and normal density distributions,

representing vegetated pixels and soil pixels. The temperature differences of two features

are obvious, corresponding to a range up to 30 – 35 °C at midday. The Gaussian mixture

modelling (GMM) is fit to the temperature distribution to objectively cluster canopy/soil

pixels and to estimate representative Twet and Tdry values for canopy. The GMM assigns

each observation to a cluster by maximizing the posterior probability, and composes of k

multivariate normal density components, where k is the number of clusters (e.g., k = 2 for

bimodal distribution). The higher-temperature component of Gaussian distribution,

representing non-canopy pixels is eliminated to exclude soil background effects in the

Gaussian distribution. Then, an automated threshold of Twet and Tdry for each sub-region is

determined by the critical values of 99 % confidence interval limits from the lower-

temperature component of Gaussian distribution.

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4.3 Results

4.3.1 Canopy temperatures from sub-regions

The entire study site, except for the four water deficit plots (Figure 4.2) was submitted

to the same irrigation level based on daily water needs calculated using meteorological

data. Canopy temperature from each sub-region, however, was characterized by two major

features: cultivar type and canopy structure determined by the tree training system.Figure

4.5.b–e show the distributions of surface temperature (mainly canopy and soil) from each

sub-region. The histograms featured distinctive bimodal distribution, representing

vegetation (23 °C – 38 °C) and soil background (38 °C – 57 °C) due to apparent

temperature differences up to 34 °C (Figure 4.5.a). The temperature distribution of soil

represents a mixture of dry grass and bare soil, whereas that of vegetation shows actively

growing and transpiring canopies.

Due to the bimodal distribution, the GMM technique with two univariate components

was fitted to the histograms, featuring different mean and standard deviation for each sub-

region. The outputs of GMM fit to canopy temperatures are presented in Table 4.3. Both

canopy temperatures of N_TT and P_TT were distributed with relatively high standard

deviations (SDs) of 2.5 °C and 2.9 °C, respectively, whereas the SDs of N_VL and P_VL

were in the range of 1.9 °C and 1.5 °C, respectively. The canopy structure of TT is in Y-

shape and wider than VL. Consequently, the structure of TT causes the canopy

temperatures to spread wider due to greater differences in the leaf energy balance from

different vertical positions and lower leaf area density within the canopies. Another

interesting feature was the lower mean value of P_VL (27.7 °C), compared to the mean

values of all the other sub-regions (approximately 30 °C) with a narrower spread in the

temperature distribution. The different mean and SD values for the histograms indicate that

the distribution of canopy temperatures can vary between different cultivar and tree

architecture even under similar irrigation levels. Thus, a concept of adaptive reference

baselines determined by region-specific probability modelling is proposed in this study to

standardize the different temperature features for CWSI based on the cultivars and the tree

architecture types.

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(a)

(b)

(c)

(d)

(e)

(f)

Figure 4.5 (a) The orthomosaic image of surface temperature (°C) derived from

thermal imagery using UAV and classified sub-regions based on cultivars and

canopy architectures; (b) Mixture modelling in the entire site; (c) in the Nectarine

trained to Vertical Leader

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Table 4.3 Thermal values of canopy temperature using probability modelling

Sub-region p 1 =0.5

(°C) Mean (°C)

SD 2

(°C) 99 % CI 3 (°C)

Entire 37.93 29.64 2.45 23.31 35.97

1_N_VL 37.87 30.17 1.93 25.20 35.13

2_N_TT 38.26 30.46 2.51 23.98 36.94

3_P_TT 39.57 30.47 2.94 22.89 38.05

4_P_VL 34.19 27.72 1.45 23.98 31.46

1 probability, 2 standard deviation, 3 confidence interval

4.3.2 Mapping adaptive CWSI

Figure 4.6.a shows the estimated CWSI map based on adaptive of Twet and Tdry, showing

the water status variability over the orchard. In Figure 4.6.b, details of water deficit and

control treatment groups in Nectarine VL are presented. The CWSI values estimated in all

four water stressed groups were significantly higher (CWSI = 0.79) than CWSI in the

control groups (CWSI = approx. 0.37). Figure 4.6.c shows the magnified pixel values of

CWSI (6.12 cm GSD).

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(a) (b) (c)

Figure 4.6 (a) Adaptive CWSI map derived from UAV remote sensing using thermal

infrared images. Four dotted rectangles in red represent the area of deficit irrigation

treatments and four dotted rectangles in blue the full irrigation of control treatments.;

(b) Example of CWSI map depicting water deficit and control treatment groups for

Nectarine VL (Vertical Leader); (c) Examples of the pixel-level resolution of CWSI

for T1 (in deficit) and T2 (in control) sampled trees

4.3.3 Validation of adaptive CWSI

Midday ψstem and gs measurements were used to provide the relationships with the

adaptive CWSI. In addition, a single Twet and Tdry as used in conventional methods were

derived from the VPD formula (Paltineanu et al., 2013; Roy and Ophori, 2014) in order to

compare them with the proposed adaptive method. The GAF targets were placed next to the

eight sampled trees, where ψstem and gs were measured, in order to identify the tree

locations in orthomosaic image and CWSI map. CWSI values of the sampled trees were

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extracted, aggregated, and averaged from the CWSI map. The ψstem measurements in the

sampled trees showed good negative relationship with the adaptive CWSI (Figure 4.7.b).

Specifically the relationship was significant with determination coefficients (R2) of 0.72.

Similarly, a strong relationship was found between gs measurements and the adaptive

CWSI with R2 of 0.82 (Figure 4.8.b). The CWSI estimated using the single reference

temperature (baseline), however, exhibited a weaker correlation between ψstem and gs

(Figure 4.7.a and Figure 4.8.a). In particular, the T8 tree showed the largest bias among the

sampled trees in the single reference CWSI method. The CWSI value sampled from the T8

was calculated as 0.29, which represents no-water-stress condition, although T8 was in fact

in the water deficit treatment group (of P_VL) and the ground ψstem measurement of T8

indicated water deficit condition (−2.91 MPa). Overall, the average canopy temperature of

P_VL was lower than the values in the other treatment groups. When examined separately,

the mean temperature of T8 (28.5 °C) was higher than the mean value of T7 (26.0 °C) from

the control plot in the same crop canopy system (P_VL). However, the mean canopy

temperature of T8 was in a similar range with those of control-group trees in the other sub-

regions. The results imply that the reference temperature values for CWSI need to be

adjusted with plant cultivars and/or tree training system in order to make CWSI a general

predictor of the plant water stress (i.e., SWP) across different plants and management

types. In other words, the proposed adaptive thresholds of Twet and Tdry would be required

for the horticultural fields that contain multiple plant cultivars and tree training systems.

(a)

(b)

Figure 4.7 (a) Relationship between stem water potential (ψstem) and CWSI of single

reference baseline; (b) relationship between ψstem and adaptive CWSI

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(a)

(b)

Figure 4.8 (a) Relationships between stomatal conductance (gs) and CWSI using the

single reference baseline method; (b) relationship between gs and CWSI calculated

using the adaptive method

Figure 4.9 Adaptive stem water potential map (ψstem; MPa)

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4.4 Discussion

TIR imagery can be used to extend a small number of the ground measurements to

spatially distributed measure of crop water status at the field scale effectively. However,

delineating plant canopy pixels that are not influenced by the soil background and sampling

reference temperature values automatically is not a trivial task. In this work, an edge

detection and elimination approach is employed to exclude ambiguous mixture pixels, and

the Gaussian mixture model (GMM) is applied to automatically sample reference canopy

temperature. The lower-temperature GMM parameters are then used to estimate the

reference (cold and hot) temperature values at each sub-region. The adaptive thresholds

proposed are obtained at 0.5 and 99.5 percentiles of temperature distributions from TIR

imagery to specify the Twet and Tdry. According to the GMM results, the variability of

canopy temperatures between different combination of cultivar and the tree architecture

was evident. Characterizing the whole study site with a single set of reference temperature

values leads to biased and non-representative CWSI results in case the field is composed of

multiple combinations of cultivar and tree architecture. The adaptive CWSI proposed can

automatically estimate proxy plant water stress status consistent with the SWP,

standardizing temperature distributions into an integrated span of CWSI.

The proposed method is carried out based on the assumption that there exist a wide

range of water stress levels in the field resulting in representative canopy temperature

values for stressed and non-stressed plants. This assumption can be justified by assuming

that, even under the same irrigation regime, temperature variations caused by different

water availabilities for individual crops could occur by external factors such as soil

properties, terrain elevation, and uneven irrigation management. However, deviation from

the assumed condition can limit the application of the method used in this work.

The proposed method of CWSI poses a few limitations when it is to be applied to all

possible conditions of water status in crop fields. A hypothetical example is when the

distribution of field canopy temperature features a narrow range, indicating that the actual

crop water status of all crops is at a similar level. In such case, the estimated CWSI would

still arbitrarily allocate a range of water stress levels within the narrow range of actual crop

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water status. This is in fact a fundamental limitation of the CWSI-based method proposed.

However, the drifting CWSI range can be anchored in advance with the help of auxiliary

data such as the air temperature. Tdry can be predicted by Tair + threshold temperature (e.g.,

5 °C) in the empirical method (Cohen et al., 2005; Irmak et al., 2000; Rud et al., 2014;

López-López et al., 2011)). If the estimated Tdry in GMM distribution is lower than Tdry

predicted by Tair, it would indicate non-severe crop water stress. On the contrary, if the

range of canopy temperature distribution is very narrow and close to Tdry predicted by Tair,

it would mean that most crops are under water deficit condition.

In addition, remotely estimated CWSI by itself is not a direct measure of actual crop

water status, since its mean level and dynamic range can vary with plant cultivars and

environmental factors. Nevertheless, the estimated CWSI can be converted to more widely

accepted water stress measures, such as ψstem and gs, when a small number of the

measurements are taken concurrently with the TIR imagery. Moreover, SWP (ψstem) has

been widely accepted as an indicator of crop water status (Scholander et al., 1965). Thus,

many crop growers and physiological researchers have determined water status of crops by

ψstem using the pressure chamber method, particularly for grapevines and stone fruits

(ChonÉ et al., 2001; Naor, 2005). However, even though the SWP-based water stress

estimation is a reliable method, it poses limitations due to resources (labour, equipment)

required and hence limits spatial coverage when applied at field scale. However, the SWP-

based water stress mapping can be extended to cover large areas when it is combined with

the adaptive CWSI map via the CWSI vs. ψstem relationship. The SWP map in Figure 4.9 is

created by utilizing the CWSI vs. ψstem model shown in Figure 4.7.b. The map shows

spatially explicit and detailed map of the SWP as a quantitative indicator for crop water

stress.

This study was carried out with one flight campaign in the late summer before leaf

senescence. A single flight campaign is not sufficient to explain water stress variations at

different crop phenological stages. However, canopy cover of stonefruit crops in terms of

fractional radiation interception or leaf area index (LAI) does not change much after full

leaf-up (late spring) until commencement of leaf senescence (late autumn). The rapid

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change in cover occurs early in spring, when evaporative demand is low, and the soil water

profile is typically full after winter rainfall in Vitoria, Australia. The likelihood of crop

water stress during the spring period is therefore low, with growers having the option to

irrigate if dry soil conditions prevail. Nevertheless, further experiments are necessary to

explore crop water stress at different phenological stages.

4.5 Conclusions

This study proposed for the first time an adaptive CWSI calculation method using two

main approaches: 1) pure canopy extraction by edge detection and statistical analysis of the

distribution of surface temperatures; and 2) the adaptive and systematic determination of

lower (wet) and upper (dry) references, obtaining the 99 % CI in the distribution of canopy

temperatures in each sub-region. A strong linear relationship between the adaptive CWSI

and the ψstem (and gs) was obtained in this work. The present approach can potentially

provide a feasible method of assessing real water stress of plants with high spatial

resolution to assess effectively its variability at the plant and field scale for precision

irrigation purposes. As a future work, further research on various crop fields and different

crop phenological stages will be investigated to make the present method applicable to

general cases.

Acknowledgments: This research was supported by the Innovation Seed Fund for

Horticulture Development grant from the University of Melbourne and Department of

Economic Development, Jobs, Transport and Resources (DEDJTR), Victoria and ARC

LIEF Grant (LE130100040). The use of the experimental stonefruit orchard as a resource

for the study is acknowledged, with financial support from Horticulture Innovation

Australia and DEDJTR (project SF12003: ‘Increased stone fruit profitability by

consistently meeting market expectations’).

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Chapter 5 : Relationship of CWSI-based plant water stress

estimation with the data acquisition times of the day

5.1 Introduction

The new method of CWSI estimation (Adaptive CWSI) proposed and evaluated in Chapter

4 was implemented in a case study to assess the relationship between CWSI-based plant water

stress and the time of the day for data acquisition.

The diurnal cycle of plant water status is important to understand the plant behavior of water

uptake and to detect water stress sensitivity. Plant physiological parameters such as predawn

ψleaf and midday ψstem are known to detect plant water stress at early stages (Davies and Lakso,

1979; Williams and Araujo, 2002; Bhusal et al., 2018).

CWSI is a reliable indicator of plant water stress for irrigation management practices. In

general, CWSI has been commonly measured (or calculated) at midday, since midday CWSI is

known to be accurate and sensitive to obtain maximum daily plant water stress (Testi et al.,

2008; Bellvert et al., 2014). Thus, the use of UAV sensing has also been limited to be

conducted at midday in previous researches to obtain the highest thermal contrast between

canopy temperature and air temperature, or the minimum shade effects casted by canopy,

although UAV remote sensing becomes a readily usable tool for precise agricultural water

management with high temporal and spatial resolutions. There have been only a few attempts to

investigate the diurnal changes of CWSI including TIR data acquired in the morning using

UAV-based remote sensing (Gonzalez-Dugo et al., 2013; Bellvert et al., 2014; Micol et al.,

2015). However, for these studies either the TIR image processing failed due to low contrast of

surface temperatures, or results of CWSI estimation were inaccurate due to a narrow range of

upper and lower boundary limits in the morning hours.

With regards to the recent technology advances of photogrammetric software and TIR

sensor, TIR imagery can nowadays be processed even with the low contrast temperature present

within the scene. In addition, the method of Adaptive CWSI is not dependent on meteorological

data, which is required for the energy balance method or empirical methods to obtain the lower

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and upper baselines, since adaptive CWSI determines the lower and upper baselines by

statistical probability modelling; therefore, it enables to estimate plant water stress level even

with the small range of boundary limits such as those present during morning time.

This chapter explores diurnal changes of plant water stress which are captured by a series of

UAV remote sensing at different times of the day. The aim of the research was to accurately

interpret the diurnal behaviour of plant water stress with measured plant parameters and

estimated CWSIs. The plant physiological parameters such as ψstem and gs are measured on

plants in different irrigation regimes to investigate the diurnal variations of water-stressed plants

from morning to late afternoon. CWSIs estimated at three times of the day are assessed with

plant parameters and the relationships between the CWSIs and the data acquisition time are

presented.

5.2 Methodology

5.2.1 Study site description

The experimental site is a nectarine orchard (0.7 ha, 150 m × 45 m), located near Tatura,

Victoria, Australia (36°26’08” S, 145°16’13” E, 114 m AMSL). The site is the Stonefruit Field

Laboratory, administered by the Department of Economic Development, Jobs, Transport, and

Resources (DEDJTR). The annual average reference crop evapotranspiration is 1190 mm and

the annual precipitation is 480 mm in the region. The site has a single cultivar: nectarine

(September Bright) with Open Tatura canopy system (2.0 m × 1.0 m size). The nectarine was in

fruit maturity phenological stage with full leaf-up. The Open Tatura (OT) is V shape with two

branches, designed to increase light interception for high yields. The trees are planted in a

north-south direction on a fine, sandy, loamy, Shepparton soil. The tree- and inter-row spacing

is 1.0 m and 4.5 m, respectively.

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(a) (b)

Figure 5.1 (a) Study site location, Stonefruit Field Laboratory (Tatura, Victoria.

Australia); (b) Different levels of water deficit plots are presented in red (0 %),

orange (20 %), green (40 %), and blue (100 %)

The study site contained four experimental plots (Figure 5.1), where the different irrigation

levels were applied as control and water deficit treatments as shown in Table 5.1.

Table 5.1 Descriptions of irrigation level

Plot no. Cultivar Treatment Irrigation level

W1_20

Nectarine

Deficit 20 %

W2_0 Deficit 0 %

W3_40 Deficit 40 %

W4_100 Control 100 %

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The site was drip-irrigated via an emitter with flow rate of 1.6 Lh-1, and the irrigation was

managed based on a crop water use (crop evapotranspiration) model (Allen et al., 1998). Each

plot contained three trees, where the level of irrigation amount was controlled through valves of

the emitter.

5.2.2 Data acquisition

Three UAV field campaigns were conducted on the 19th of January 2017. The aerial thermal

infrared (TIR) imagery was acquired from morning to afternoon distributed at: 9 h, 12 h, and 15

h local time. The experimental day was with a clear sky, moderate winds (0.6 m sec-1), air

temperature (30.6 °C) and relative humidity (26.7 %) at midday from the nearby (< 200 m)

meteorological station. The weather condition of each time of UAV campaign is shown in Table

5.2.

Table 5.2 Weather conditions at three times of data acquisition

Acquisition time

of data

Air

temperature

Relative

humidity

Wind

speed

9 h 26.8 °C 34.7 % 0.9 m s-1

12 h 30.6 °C 26.7 % 0.6 m s-1

15 h 33.2 °C 18.8 % 1.2 m s-1

A thermal infrared (TIR) camera (A65, FLIR Systems, Inc., Wilsonville, OR, USA) was

integrated with a GPS in an on-board CPU for geo-tagging and all gears were mounted to a

multi-rotor UAV platform (S1000, DJI, Shenzhen, China). TIR images were captured in the

spectral wavelength of 7.5 – 13 µm, a spatial resolution of 640 × 512 pixels, a focal length of 25

mm, and a FOV of 25° (H) × 20° (V).

All aerial images from TIR sensor were taken at the short time window (< 10 minutes) to

capture the homogenous features during the flight over the site. The TIR camera was mounted

to a high performance gimbal to enable the images to be acquired at nadir view from the UAV.

The UAV flew at an altitude of 90 m above ground level (AGL) to capture images with over

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80 % forward and 40 % side overlap by an autonomous flight plan. The footprint of TIR image

is 39 m × 31 m with a ground sample distance (GSD) of 6 cm.

During the UAV sensing, two types of calibration targets were deployed at the site: (1)

temperature calibration target for TIR images; (2) ground control point (GCP) and ground

artificial feature (GAF) for image orthomosaicking. The water body and rubber plates were

deployed for calibration targets of TIR images as cold and hot features with high emissivity.

The specific GCP and GAF targets made of aluminium materials were designed for performing

an accurate and robust orthomosaicking during the image processing.

With each UAV flight, the measurements of crop physiological data were carried out at the

irrigation treatment plots at the same time of aerial image acquisition. Gas exchange

measurements using a photosynthesis system (LI-6400, LI-COR Inc., Lincoln, Nebraska, USA)

were conducted on fully expanded leaves to obtain stomatal conductance (gs, mmol m-2 sec-1) at

9 h, 12 h and 15 h. Leaf temperature was measured on both sunlit and shaded leaves using a

thermometer (TN410LCE, ZyTemp, Radiant Innovation Inc.). Midday stem water potential

(ψstem, MPa) was measured on two fully expanded shaded leaves per tree in each plot using a

Scholander pressure chamber (Model 3000, Soil Moisture Equipment Co., Santa Barbara, CA,

USA). The leaves were selected from branches near the main trunk and were covered with an

aluminium foil bag for a minimum of one hour of equilibration time, prior to the measurement

of ψstem.

5.2.3 TIR image processing and plant water stress modelling

Based on the method of Adaptive CSWI estimation proposed in Chapter 4, all aerial TIR

images were processed to estimate plant water stress at each time: 9 h, 12 h and 15 h.

The raw signal-formatted TIR images were converted to temperature-based images using a

one-point calibration method (FLIRSystems, 2013). When correlating the signal to the

temperature, calibration targets made of rubber sheets and water body were used to refer the

actual temperatures as hot and cold features. The target temperatures were measured with TIR

snapshot by a handheld thermal imaging camera (T640, FLIR Systems, Inc., Wilsonville, OR,

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USA) and a handheld thermometer concurrently with the UAV flight. All calibrated TIR images

were stitched into a georeferenced image by using photogrammetric software (PhotoScan,

Agisoft LLC, Russia).

For the extraction of pure canopy pixels from the imagery, the mixed pixels (edges) along

the boundary between canopy and soil pixels were detected by the combined Sobel and Canny

technique in Matlab R2014b. The detected edges were dilated for more conservative exclusion

of the mixed pixels, and removed from the original orthomosaic image.

Figure 5.2 Flow of the CWSI estimation based on adaptive reference baselines

The temperature histogram was generated from the edge-free TIR image to analyse the

temperature distribution statistically. Figure 5.2 describes the process flow of CWSI estimations

in the research. Since the study site has a single cultivar (nectarine) with the same canopy

structure (Open Tatura), the site was treated as one property. Thus, the classification of sub-

regions was not required at the site. The Gaussian mixture modelling (GMM) was fit to the

temperature distribution to cluster canopy and soil pixels and to estimate representative Twet and

Tdry values for the CWSI estimation. The higher-temperature component (2nd distribution) of the

histogram distribution, representing soil pixels was removed to exclude non-canopy effects.

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Then, the adaptive threshold of Twet and Tdry was determined at the values of 99 % confidence

interval (CI) limits from the Gaussian modelling.

5.3 Results and discussion

5.3.1 Relationship of CWSI with midday stem water potential

(a) (b)

Figure 5.3 (a) Adaptive CWSI map derived from midday UAV remote sensing. The

rectangles in red represent the area of irrigation treatments; (b) Detailed CWSI map

depicting the experimental plots of W1 (20 % irrigation), W2 (0 %), W3 (40 %) and

W4 (100 %)

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Figure 5.3.a shows the estimated CWSI map based on adaptive of Twet and Tdry derived from

midday UAV flight. The water stress variability over the orchard is visually presented in the

CWSI map. Figure 5.3.b shows the details of four experimental plots in water deficit and

control treatment groups: W1_20, W2_0, W3_40 and W4_100.

CWSI values of trees from each experimental plot were extracted and averaged from the

CWSI map to result in the representative CWSI value for each plot. The CWSI values in all

four irrigation groups were strongly correlated negatively with midday ψstem with determination

coefficients (R2) of 0.83 (Figure 5.4). In W1_20 and W2_0 plots, water stress treatments were

applied, subsequently the measured ψstem of each plot indicated water deficit condition with the

similar value of −2.6 MPa and −2.8 MPa, respectively. The ψstem values for W3_40 and

W4_100 were also shown in close range with the values of −1.7 MPa and −1.6 MPa, which

represent non-water-stress condition. Similar results were obtained for the estimated CWSI. The

CWSIs in W1_20 and W2_0 were estimated in the similar values (approx. 0.66 and 0.60,

respectively) and higher compared to in W3_40 and W4_100 (approx. 0.49 and 0.44,

respectively).

Figure 5.4 Relationship between stem water potential (ψstem) and CWSI at 12 h

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5.3.2 Relationship of CWSI with diurnal plant water stress

The differences of canopy and air temperature (Tc – Ta) were also measured at three times of

the day. Figure 5.5 shows Tc – Ta of control plot (W4_100) and deficit plot (W2_0) from

morning to afternoon. In both irrigation treatment plots, Tc – Ta changed considerably during the

day, starting from positive and becoming negative Tc – Ta. In the morning (9 h), canopy

temperature was higher than air temperature since the canopy was becoming warm. At midday,

canopy temperature was becoming cooler than air in control plot. This is considered due to

transpiration cooling. In the case of deficit plot, Tc – Ta was becoming zero, indicating higher

canopy temperature than control plot, which was derived from water stress. Overall, water

deficit plot resulted in higher canopy temperature than irrigated plot during three measurements,

related to normal diurnal depression.

Figure 5.5 Differences between canopy and air temperature at three times of the day

in control (100 %) and deficit (0 %) plots

Stomatal conductance (gs) measurements were used to provide the relationships with the

estimated CWSIs at the different time of the day as shown in Figure 5.6.

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(a)

(b)

(c)

Figure 5.6 Relationships between stomatal conductance (gs) and CWSI: (a) results

acquired at 9 h; (b) 12 h; (c) 15 h

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Similarly with midday ψstem, a strong relationship was found between gs measurements and

the adaptive CWSI at 9 h, 12 h, and 15 h. Specifically, the relationship of each time was

significant with determination coefficients (R2) of 0.92, 0.77 and 0.86, respectively.

From the 9 h results (Figure 5.6.a), the measured gs from each plot showed a gradual

increase of values according to the irrigation level with gs values from 18.4 (mmol m-2 sec-1) at

W2_0 to 39.8 (mmol m-2 sec-1) at W4_100. Similar but inversed results were found for the

estimated CWSI, showing that the CWSI values gradually dropped with higher irrigation level.

The canopy temperature difference from the irrigation extreme plots (W2_0 and W4_100) was

2.6 °C. A CWSI research, which employs the VPD and air temperature to calculate Twet and Tdry

(or baselines), has shown that the CWSI calculation with morning data was challenging and

failed to determine the baseline due to a narrow range of temperature differences between the

upper and lower baselines (e.g., 2 °C) (Gonzalez-Dugo et al., 2013). As Adaptive CWSI

method relies on statistical modelling of canopy temperatures, the proposed method was able to

obtain Twet and Tdry in the small range of temperature differences. In Figure 5.6.b and Figure

5.6.c, the relationships presented were derived from midday and afternoon. Both CWSIs were

significantly correlated with gs measurements.

In the aspect of diurnal variation of plant water stress, morning gs showed less variation than

midday and afternoon gs over the all irrigation regimes (0, 20, 40 and 100 % irrigation) as

shown in Table 5.3. The distribution of gs, which is the difference of extreme gs in 0 % and

100 %, was becoming significantly wider from morning to midday, then, remaining at the

similar scale (slightly wider) from midday to afternoon. This indicates that all gs were highly

correlated water stressed levels, but had the different range of gs from morning to afternoon.

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Table 5.3 Statistics of the extreme gs over all irrigation regimes at three times of the

day

Acquisition

time

SD of

extreme gs

(mmol m-2 sec-1)

Mean of

extreme gs

(mmol m-2 sec-1)

Size of

extreme gs

(%)

9 h 9.35 28.61 32.7

12 h 17.46 32.48 53.8

15 h 18.98 30.46 62.3

SD: Standard Deviation

In the water stressed plots, the gs of W1_20 and W2_0 responded at the rates of 18 – 24

(mmol m-2 sec-1) at 9 h. The gs of W1_20 and W2_0 slightly decreased and remained at 13 – 24

(mmol m-2 sec-1) at 12 h. Then, gs of W1_20 and W2_0 considerably dropped to 11 – 17 (mmol

m-2 sec-1) at 15 h. The response of gs in water stressed plants can indicate that stomatal

conductance decreases due to the stomatal closure and less transpiration during daytime.

In the case of control plot (W4_100), gs showed higher rates than other irrigation plots at

three times of the day. Particularly, midday gs was obtained at the highest rate, 53 (mmol m-2

sec-1).

Overall, midday and afternoon gs were measured at the similar range, while morning gs

showed less conductance rate than the other time. In water deficit plots, midday and afternoon

gs were responded at lower rates than morning gs, indicating that the water-stressed plant

behaves with more limited stomatal conductance during daytime.

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Table 5.4 Statistics of the extreme CWSI over all irrigation regimes at three times of

the day

Acquisition

time

SD of

extreme CWSI

Mean of

extreme CWSI

Size of

extreme CWSI

9 h 0.088 0.43 20.5 %

12 h 0.098 0.55 17.9 %

15 h 0.093 0.53 17.5 %

SD: Standard Deviation

Figure 5.7 Relationships between CWSI estimated at three times of the day and the

stomatal conductance

The estimated CWSIs taken three times of the day showed significant correlation with gs

according the irrigation levels. Unlike the variation of the extreme gs along the day, CWSIs

were presented in the similar range of the extreme values at each flight time as shown in Table

5.4. The morning CWSI was slightly lower (0.11 of CWSI) than midday and afternoon CWSIs

like morning gs (Figure 5.7 and Table 5.4). However, the size of CWSI range was obtained at

the similar scale at each time of the day. This could imply that Adaptive CWSIs enable to

separate different water stressed plants with high sensitivity and consistent scale from morning

to afternoon of the same day. Nevertheless, the range of Adaptive CWSI can be biased in terms

of absolute quantity, due to the limitation of statistical histogram approach, as described in

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Chapter 4. Since the bias can be adjusted by a simple relationship between CWSI and the level

of irrigation, it still remains a practical method to estimate CWSI across an area during the day.

5.4 Conclusions

This study analysed the diurnal changes of plant water stress using: 1) plant physiological

data: stomatal conductance (gs); and 2) estimated CWSI derived from TIR UAV sensing at

three different times of the day: 9 h, 12 h and 15 h. The study tested the performance of the

method proposed to estimate diurnal behaviour of water stress in the different irrigation regime.

The estimation was performed by adopting the method of Adaptive CSWI. The significant

relationship between CWSI and the gs (and ψstem) was found at every flight times of the day in

this work. Particularly, morning CWSI was also sensitive to plant water stress. Thus, the

adaptive CWSI method showed a capability to interpret plant water stress level even with the

small range of boundary limits in the morning. Particularly, morning CWSI presented a relative

consistency with midday and afternoon CWSI. Thus, the present research can potentially

promise any-daytime CWSI estimations of the day; from late morning to late afternoon, since

CWSI can be estimated with low contrast of surface temperatures. Subsequently, the method

can assist to extend the time-window of UAV remote sensing during the day. As a future

research, various crop-cultivar-site- and time-specific experiments will remain for further

works.

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Chapter 6 : Estimation of evapotranspiration in peach

orchards using very-high-resolution imagery

from an unmanned aerial vehicle (UAV)

6.1 Introduction

Drought and water shortage have been increased and resulted in declined productions in

irrigated agriculture in Australia (Qureshi et al., 2013). Therefore, efficient water use as

agricultural resources requires a more precise and adequate irrigation management with the

limited availability of water. In addition, having the capability of estimating crop water use via

evapotranspiration (ET) can assist irrigation managements on a regular basis in terms of a

decision-making strategy. In case of high valued crops such as grapevines and olives, various

studies have investigated the effect of deficit irrigation including regulated deficit irrigation

(RDI) and found out that the delicate water management based on soil-cultivar-environmental

specificity is one of the main factors for increasing the quality and yield of crops, as well as

water use efficiency (Roberto et al., 2005; Buesa et al., 2017).

Due to the importance of monitoring plant water consumption, ET is one of the most critical

key factors to estimate water loss from vegetation surface as well as a fundamental requirement

in irrigation scheduling at the local management with respect to climate change in the global

assessment (Nouri et al., 2015). For instance, estimating ET on crops becomes more in demand

in planning an optimal irrigation management due to increasing water scarcity which limits

agricultural production. Moreover, plant ET provides quantitative information for analysing the

sophisticated process of water consumption in precise agriculture (PA). However, estimating

accurate ET still remains a significant challenge due to its complex task.

In recent decades, remote sensing (RS) based-ET estimation has been introduced

increasingly in agricultural studies since satellite images have been broadly applied in ET

estimation. The RS-based ET has been known as the most reliable and efficient methods for

estimating ET especially at regional scales (Kustas and Anderson, 2009). This is mainly

because RS provides a high capability of capturing the features of heterogeneous surface in

partially vegetated surface as well as considering the heterogeneity of plant species. In addition,

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RS based ET approaches produce a map, representing ET values in pixel by pixel as well as

showing the spatial variability over mixed landscape.

With regards to RS based ET estimation, in general, the existing approaches can be

categorized into four methods: empirical direct method, residual method, inference method and

deterministic method.

In the empirical direct method, ET estimation is performed from the correlation between ET

and the combined RS data such as TIR, and between ET and meteorological data such as air

temperature. For instance, a simple direct method was introduced, which relies on the

assumption that daily ET has a direct relationship with the difference of surface and air

temperature at midday (Jackson et al., 1977; Seguin and Itier, 1983). The method requires the

empirical calibration parameters at a local scale. Based on the relationship between NDVI and

surface temperature, another empirical direct method has also been proposed (Moran et al.,

1994; Carlson et al., 1995). The method depends on the fact that NDVI affects the ET quantity

and ET is affected by surface temperature. For example, as vegetation coverage increases, more

ET is expected, and consequently the surface temperature tends to be cool. As a ramification of

the method, the strong relationship between surface temperature and NDVI was found, but the

relationship varies in seasonal changes (Carlson et al., 1995; Yuan and Bauer, 2007).

The residual method has been widely adopted to obtain ET, which is based on SEBM. In the

model, ET is obtained as a residual (latent heat flux) while the other components - net radiation,

sensible heat flux and soil heat flux - are also estimated (Su, 2002; Kalma et al., 2008). The

residual method in SEBM uses RS data to calculate surface temperature and canopy structural

characteristics (Yuei-An and Kumar Kar, 2014), and to estimate net radiation and soil heat flux

(Bastiaanssena et al., 1998).

In the aspects of different techniques related to the residual method, firstly, Surface Energy

Balance Algorithm for Land (SEBAL) estimates ET at regional scale with minimum ground

data which includes surface temperature, incoming solar radiation, NDVI, and wet and dry

threshold values (Bastiaanssena et al., 1998). The threshold values are two extreme reference

temperatures inside the target area which are allocated to set the limit to non-evapotranspiration

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in dry surface and non-sensible heat flux in wet surface. Secondly, Surface Energy Balance

System (SEBS) estimates evaporative fraction and turbulent fluxes using RS data,

meteorological data and radiation data (Su, 2002). Thirdly, Surface Energy Balance Index

(SEBI) and Simplified SEBI (S-SEBI) have been developed to estimate ET from RS data

(Roerink et al., 2000). S-SEBI only relies on RS data without any further inputs since wet and

dry thresholds are determined simply by using the minimum and maximum reflectance values

of temperature in the target image. Thus, S-SEBI can produce reliable results when wet and dry

surface extremes exist in the area. Lastly, Two Source Energy Balance (TSEB) has been

introduced to partition the sensible and latent heat fluxes separately from canopy and soil

(Norman et al., 1995; Kustas and Norman, 1999). TSEB does not consider the surface extreme

within the image and shows better ET estimation than general single-source model in bare soil

and partially vegetated surface (Xia et al., 2016). It could be a heavy process compared to

single-source model in vegetated surface in terms of operational ET estimation (French et al.,

2015; Xia et al., 2016).

As demanding as high spatial and temporal resolutions, UAV remote sensing is becoming

more popular, since it provides very-high-resolution (VHR) imagery down to sub-centimetre

spatial resolution (Berni et al., 2009b; Zarco-Tejada et al., 2012; Roy and Ophori, 2014; Rud et

al., 2014). In addition, UAV sensing can capture a target area in a projected time on demand

(Zipper and Loheide Ii, 2014; Ortega-Farías et al., 2016). Furthermore, the operation of UAV

sensing is cost-effective and the on-board camera system can be assembled according to the

research purpose (Brenner et al., 2017).

Several studies on UAV-based high resolution ET have been investigated with the current

energy balance models during the past few years (Zipper and Loheide Ii, 2014; Hoffmann et al.,

2015; Ortega-Farías et al., 2016; Xia et al., 2016; Brenner et al., 2017). The research of UAV-

based ET estimation is still in its early stage and needs to be further investigated and validated

(Hoffmann et al., 2015; Brenner et al., 2017).

In this chapter, tree-by-tree energy balance components are estimated based on HRMET

surface energy balance model using VHR MS and TIR imagery from a UAV. The main

objective is to assess the intra-field variability of ET over a drip-irrigated peach orchard at sub-

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field scale. The tree-level analysis is conducted to produce tree-level water use. The approach of

the research consists of five steps (Figure 6.1): 1) data acquisition of VHR imagery and ground

measurements; 2) RS data processing to produce surface temperature and canopy characteristics

variables of ET modelling; 3) tree-by-tree modelling to identify individual plant and allocate the

representative spatial variable to each tree; 4) calculation of energy balance components in the

ET model and mapping instantaneous ET rate and; 5) evaluation of the estimated ET with

ground measurements.

Figure 6.1 Research flow of data processing and ET modelling

6.2 Methods and Dataset

6.2.1 Study area

The experiment was carried out on 19th of January 2017 at the peach and nectarine orchards

(0.95 ha, 140 m × 58 m) near Tatura, Victoria, Australia (36°26’08” S, 145°16’13” E, 114 m

AMSL), administrated by the Department of Economic Development, Jobs, Transport, and

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Resources (DEDJTR) (Figure 6.2). The climate of Tatura is temperate. The annual rainfall is

approximately 480 mm and the annual average ETc (reference crop evapotranspiration) is 1190

mm. The site has two cultivars: a peach (Prunus persica (L.) Batsch cv. August Flame); and a

nectarine (Prunus persica (L.) Batsch cv. Autumn Bright). The nectarine and peach were 3 – 4

years old, late maturity phenological stage at full leaf-up. Each cultivar is trained to two canopy

structures: Vertical leader (VL) with 2.0 m × 0.8 m size and Tatura Trellis (TT) with 1.9 m ×

1.0 m size. TT is in Y shape with two arm branches, since the architecture of TT is designed to

maximize the leaf surface which exposes and captures the sun for enhancing the productivity

(Elkins, 2002). The trees were planted in a north-south direction on a fine, sandy, loamy,

Shepparton soil. The tree spacing is 1.0 m tree and the distance of an inter-row is approximately

4.5 m. The region was drip-irrigated via an emitter and the irrigation amount was calculated by

ETc model (Allen et al., 1998).

(a)

(b)

Figure 6.2 (a) Location of the study site, Stonefruit Field Laboratory orchard (Tatura,

Victoria. Australia); (b) canopy structures in Vertical leader (left) and Tatura Trellis

(right).

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6.2.2 Data acquisition

6.2.2.1 Energy balance and Micrometeorological data

A tower was installed for measuring both net radiation and micrometeorological data near

the centre of the study area (Figure 6.3). A net radiometer with 4 components (NR01,

Hukseflux Thermal Sensors B.V., Delft, Netherlands) measured net radiation,

incoming/outgoing short wave, and long wave radiations at 2.6 m AGL (0.6 m above tree).

Temperature and humidity (HMP155, Vaisala Corporation, Helsinki, Finland) sensor was

installed above the tree. A wind monitor (Wind Monitor-AQ, R.M. Young Company, Michigan,

USA) was placed at the top of the tower at 4 m AGL and measured wind speed and direction.

Two sets of soil heat flux plates (HFP01-L, Hukseflux Thermal Sensors B.V., Delft,

Netherlands) were installed with the soil temperature probes (TCAV, Campbell Scientific, Inc.,

UT, USA) and soil moisture reflectometer (CS616, Campbell Scientific, Inc., UT, USA). One

set was placed in the middle of the inter-row, the other set in the tree-row. The different

placements accommodated to capture a gradient of soil heat fluxes from underneath tree (mostly

shaded) to inter-row (non-vegetated).

Figure 6.3 Installed sensors to measure net radiation and micrometeorological data

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6.2.2.2 Crop Physiological data

As mentioned above, the tower for measuring net radiation, meteorological data, and soil

heat flux was installed in the tree row. The measurement of crop physiological data was carried

out at the four adjacent trees in the same tree-row. Leaf temperature was measured in both sunlit

and shaded leaves using a handheld thermometer (TN410LCE, ZyTemp, Radiant Innovation

Inc.). Gas exchange measurements using a photosynthesis system (LI-6400, LI-COR Inc.,

Lincoln, Nebraska, USA) were taken over fully expanded and measured leaves to obtain

stomatal conductance (gs, mol m-2 sec-1) and transpiration rate (E, mmol m-2 sec-1).

Photosynthetically active radiation (PAR) was measured above and under the canopy for light

interception by the canopy using a ceptometer (Sunfleck, model SF-80, Decagon Devices Inc.,

Washington, DC).

6.2.2.3 UAV campaigns

UAV campaign was conducted on the day of clear sky with moderate wind (0.6 m sec-1), air

temperature (30.6 °C), and relative humidity (26.7 %). A thermal infrared (TIR) camera (A65,

FLIR Systems, Inc., Wilsonville, OR, USA) and multispectral (MS) camera (RedEdge,

MicaSense, Seattle, WA, USA) were integrated with a GPS in an onboard CPU for geo-tagging

and all gears were mounted to an UAV platform (S1000, DJI, Shenzhen, China).

All aerial images from TIR and MS sensors were taken at the short time window (< 15

minutes) to capture the homogenous features at midday over the site. TIR images are captured

in the of 7.5 – 13 µm, a spatial resolution of 640 × 512 pixels, a focal length of 25 mm, and a

FOV of 25 °(H) × 20 °(V). MS images were acquired concurrent with TIR sensing. The MS

camera consists of five discrete bands in the blue (475 nm), green (560 nm), red (668 nm), red

edge (717 mm), and near infrared (NIR) (840 nm). A spatial resolution is 1280 × 960 pixels

with a focal length of 5.5 mm.

Both cameras were mounted to a high performance gimbal to enable the images to be

acquired at nadir view from the UAV. The UAV sensing was conducted at solar noon for

capturing the period of high ET and for minimizing shadows cast by the tree. The UAV flew at

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an altitude 90 m above ground level (AGL) to capture images with over 80 % forward and 40 %

side overlap by an autonomous flight plan. The footprint of TIR image is 39 m × 31 m with a

ground sample distance (GSD) of 6 cm. MS image has the footprint of 108 m × 81 m and GSD

of 8 cm.

During the UAV sensing, two types of ground targets were deployed at the site: (1)

radiometric calibration target for TIR and MS images; (2) ground control point (GCP) ground

artificial feature (GAF) for image processing. The water body and rubber plates were used for

calibration targets of TIR images as those are cold and hot features. Tarps (3 m × 3 m) in three

different reflectance rates (6 %, 12 %, and 33 %) were placed for the calibration of MS images

(Figure 6.4). The specific GCP and GAF targets were designed for performing an accurate and

robust orthomosaicking during the image processing. Those targets were made of aluminium

sheet with the consideration of spatial resolution and spectral characteristic of both TIR and MS

images.

Figure 6.4 Field description: (left) radiometric grey targets and temperature targets,

the details of sampling trees and meteorological tower; (right) the location of targets

and sample trees

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6.2.3 RS data processing and ET modelling

6.2.3.1 Aerial imagery processing

When processing the very high-resolution imagery, a post calibration process is carried out

for producing reliable inputs which are one of key factors for the accurate ET estimate. TIR

images were recorded in a raw format which consists of the signal-based values from the

surface temperatures. A one-point calibration method (FLIRSystems, 2013) was applied to

convert the raw images to temperature-based images by using a customized code written in

Matlab R2014b (Mathworks Inc., Matick, MA. USA). When correlating the signal to the

temperature, calibration targets made of rubber sheets and water body were used to refer the

actual temperatures as hot and cold features. The target temperatures were measured with TIR

snapshot by a handheld thermal imaging camera (T640, FLIR Systems, Inc., Wilsonville, OR,

USA) and a handheld thermometer concurrently with the UAV flight. In case of MS imagery,

the radiometric calibration was performed to retrieve the reflectance values in each band. The

reflectance from three uniform tarps was correlated to the digital number (DN) values from the

MS imagery, and the linear regression relationship was applied to convert all DN values to the

reflectance values. All consecutive TIR and MS images were mosaicked into each

georeferenced image by using a photogrammetric software (PhotoScan, Agisoft LLC, Russia).

Figure 6.5 shows the mosaicked TIR image.

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Figure 6.5 Surface temperature of the study area

6.2.3.2 LAI estimation

The ET model used in the research requires LAI as one of the spatial variables to present the

canopy characteristics. In many researches, spectral vegetation indices (e.g., NDVI, simple

ratio, and reduced simple ratio) have been largely used to link to the LAI estimation, showing

that NDVI is highly correlated with LAI and the relationship can be adopted in various forms of

regression model (e.g., general exponential, simple linear, or higher curve model) (Stenberg et

al., 2004; Steltzer and Welker, 2006; Fan et al., 2009). The exponential regression method was

employed to retrieve LAI from remote sensed NDVI in the research. The reference LAI values

were determined using PAR measurements above and under the canopy for light interception by

the canopy in the four sample trees. The measured-PAR of each tree consists of transmitted and

scattered radiations through the canopy and within the canopy, respectively. A radiative model

of transmitting and scattering was introduced by Norman and Jarvis (1975) and simplified

(DecagonDevicesInc., 2001) as follows:

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𝜏 = exp {𝐴(1 − 0.47𝑓𝑏)𝐿 ((1 − 1 2𝐾⁄ )𝑓𝑏 − 1⁄ )} (6.1)

𝐾 = 1/2 cos 𝜃 (6.2)

where, 𝜏: canopy transmittance, 𝐴: canopy absorption, 𝑓𝑏: fraction of direct radiation, 𝐿:

LAI, 𝐾: coefficient of canopy extinction, and 𝜃: sun zenith angle

The 𝜏 is a ratio of the transmitted PAR to the incident PAR, and the 𝑓𝑏 is the fraction of

incident PAR radiation, which is also called as beam fraction. 𝐾 is the coefficient of canopy

extinction and can be simplified with the sun zenith angle (𝜃). The PAR-based LAI in the

reference tree was retrieved by inverting the radiative model (Equation 6.1). Then, the LAI map

over the study site was estimated by the exponential regression model with NDVI map

generated from MS imagery of the UAV sensing.

6.2.3.3 Tree segmentation

In above two sections, surface temperature and LAI map were generated into the raster

imagery with geo-referenced coordinates. For the tree-by-tree analysis, feature segmentation

technique was used in the research. First of all, the non-canopy background pixels were

excluded in both temperature and LAI imagery using histogram method. A threshold value was

determined to separate the canopy and non-canopy distributions in the histogram. For the

accurate separation, edges along the boundary between canopy and background were removed

using edge detection method, since edges were the mixed canopy-soil properties and showed

generally higher temperature and lower LAI (or NDVI) than pure canopy pixels. The details of

the edge detection method used in the research were presented in Chapter 4.2.5. Second, pixels,

which belong to the individual trees, were classified and grouped systematically by the

informative field descriptions: the plant spacing and row spacing distances. The grouped pixels

were aggregated and averaged as a representative value of each tree by using a customized code

written in Matlab R2017b (Mathworks Inc., Matick, MA. USA).

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6.2.3.4 RSEB algorithm in ET modelling

High resolution mapping of evapotranspiration (HRMET) model was implemented to

estimate energy balance components, subsequently ET rate in the research. HRMET is a pixel-

based surface energy balance model and was developed to incorporate high resolution RS data.

Advantages of the model can be described as it does not depend on wet and dry reference

features to calculate turbulent fluxes in the imagery. Most of input variables in the model can be

obtained from RS data, and the model does not require a heavy process and is executed with

minimized inputs as a feasible tool to adapt an applicable irrigation scheduling. The algorithm

of the model follows the residual method of general surface energy balance model as in

Equation 6.3:

𝜆𝐸𝑇 = 𝑅𝑛 − 𝐻 − 𝐺 (6.3)

where, 𝜆𝐸𝑇: latent heat flux (W/m2); 𝑅𝑛: net radiation at the surface (W/m2); 𝐻: sensible

heat flux to the air (W/m2) and; 𝐺: soil heat flux (W/m2)

The instantaneous net radiation is calculated to separate canopy and soil components based

on two-source model (Norman et al., 1995) as follows:

𝑅𝑛 = 𝑆𝑖𝑛 − 𝑆𝑜𝑢𝑡 + 𝐿𝑖𝑛 − 𝐿𝑜𝑢𝑡 (6.4)

𝑅𝑛 = 𝑓𝑐𝑅𝑛,𝑐 + (1 − 𝑓𝑐)𝑅𝑛,𝑠 (6.5)

𝑅𝑛,𝑐 = (1 − 𝛼𝑐)𝑅𝑛 + 𝜀𝑐𝐿𝑖𝑛 − 𝐿𝑜𝑢𝑡,𝑐 (6.6)

𝑅𝑛,𝑠 = (1 − 𝛼𝑠)𝑅𝑛 + 𝜀𝑠𝐿𝑖𝑛 − 𝐿𝑜𝑢𝑡,𝑠 (6.7)

𝐿 = 𝜀𝜎𝑇4 (6.8)

where, 𝑆𝑖𝑛, 𝑆𝑜𝑢𝑡, 𝐿𝑖𝑛, 𝐿𝑜𝑢𝑡 is incoming and outgoing shortwave and incoming and outgoing

longwave (W/m2), respectively. 𝑓𝑐 is fractional cover derived from LAI using exponential

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relationship. The subscript 𝑐 and 𝑠 imply canopy and soil. 𝛼 and 𝜀 represent the surface albedo

and emissivity. 𝛼 was taken from Goodwin et al. (2004). 𝜎 is the constant of the Stefan-

Boltzmann, 𝑇 is the surface temperature in Kelvin.

The incoming and outgoing shortwave radiations are calculated separately from canopy and

soil using the radiation extinction model in the Equation 6.4 – 6.7 and the Stefan-Boltzmann

law equation (Equation 6.8). Then, soil heat flux is approximated by 35 % of the net radiation

reaching the soil based as follows (Norman et al., 1995):

𝐺 = 0.35𝑅𝑛,𝑠 (6.9)

The sensible heat flux, H, is computed as follows:

𝐻 = 𝜌𝑎𝑐𝑝(𝑇𝑠 − 𝑇𝑎) (г𝐻𝑎 + г𝑒𝑥)⁄ (6.10)

where, 𝜌𝑎: the molar density of air (mol m-3), 𝑐𝑝: the specific heat of air (J mol-1 C-1), г𝐻𝑎:

the aerodynamic resistance to heat transport (s m-1), and г𝑒𝑥: the excess resistance to heat

transport (s m-1).

Aerodynamic and excess resistances are calculated in each pixel iteratively using the

methods from Campbell (2000) and Norman and Becker (1995), respectively. The model

employs an iterative convergence method to calculate H, since both H and г𝐻𝑎 are co-dependent

variables. The level of H effects on the aerodynamic stability, subsequently also on the

aerodynamic resistance to heat transport (Bastiaanssena et al., 1998). The iterative method of H

is described in a flow chart in Figure 6.6. The method does not require the wet and hot extreme

pixels due to the iterative calculation of the turbulent heat fluxes.

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Figure 6.6 The iterative method of calculating the sensible heat flux in HRMET

model

When the convergence criteria are achieved, which is less than 0.1 % change between the

consecutive iterations, the latent heat flux of each pixel was computed using the updated

sensible heat flux in the Equation 6.3.

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6.3 Results and discussion

The study area consists of two canopy systems in each nectarine and peach tree: Vertical

leader (VL) and Tatura Trellis (TT) as shown in Figure 6.2. At the time of UAV flight over the

study area, the canopy temperature, captured from TIR sensing, showed spatial variations with

regards to each canopy system and cultivar. In particular, the first three rows were planted with

nectarine of VL canopy and represented lower temperature (29.8 °C) compared to the average

temperature of other tree-tows (31.7 °C), showing approximately 2 °C temperature difference.

Figure 6.7.a shows the intra-field spatial variability of surface temperatures without soil

background in an enhanced contract colormap. The distributed canopy temperatures over the

field were visualized; the temperature of nectarine with VL was apparently represented cooler

than that of others. The entire study field was under full-irrigation regime. The coefficient of

variation (CV) of canopy temperature was 5.3 % over the field. Thus, this result indicated that

the canopy temperatures (Tc) varied from the different canopy structures and hence, would

result in the variability of ET rate. The spatially distributed NDVI was generated by using VHR

red and NIR imagery from the UAV sensing, shown in Figure 6.7.b. The figure presents canopy

NDVI, where soil NDVI was classified and excluded using histogram-based method for the tree

segmentation process in the next step. Canopy NDVI also showed spatial variability with 4.5 %

of CV, which was slightly lower than the CV of canopy temperature during the UAV campaign.

The canopy NDVI in the reference sample trees were correlated to PAR-based LAI with an

exponential relationship with determination coefficients (R2) of 0.9 as shown in Figure 6.8. LAI

over the field was retrieved using the regression method. Since the UAV data acquisition was

carried out to capture instantaneous features over the field at the matured growth stage, NDVI

values from the reference trees indicated the similar value (approximately 0.75). In general

cases, the broad distributions of NDVI and LAI are required to model the relationship

accurately. However, the research assumes the retrieved LAI over the field follows the range of

the reference PAR-LAI with an ignorable error, since NDVI values from all trees were in the

narrow distribution and were similar to NDVI values from the reference trees.

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(a) (b)

Figure 6.7 Tree-row map excluding soil background using histogram-based method:

(a) surface temperature map (°C) and; (b) NDVI map

Figure 6.8 Relationship between NDVI derived from UAV sensing and LAI retrieved

from PAR measurements on the reference trees

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Figure 6.9 shows the results of the tree-by-tree segmentation both in surface temperature

and LAI map. The orchards consisted of 12 rows and 120 trees were planted in each row.

According to the field descriptions, tree and inter-row spacing are 1.0 m and 4.5 m distance,

respectively. Using the field descriptions and geo-referenced positioning of each row and tree,

the section of each tree was segmented. Then, the mean value of surface temperature and LAI

were assigned to each tree section as a representative tree value. The results provided better

analytic maps to feature the individual plants and to interpret the variability between plants,

enabling the analysis of tree-by-tree water losses.

(a) (b)

Figure 6.9 Tree-by-tree aggregated results: (a) surface temperature map (°C) and; (b)

LAI map

The energy balance components including latent heat flux were estimated in the HRMET

model and the hourly ET rate is calculated over the study field as shown in Figure 6.10. The

estimated ET in the reference trees indicated approximately 0.62 mm h-1. Relatively higher ET

was observed in the first three rows (nectarine with VL) and in the northern part of tree rows,

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presenting 0.76 mm h-1 rate at the most. Since the study field was as a small-sized orchard (< 1

ha) and UAV data acquisition time was less than 15 minutes, the meteorological variables such

as incoming shortwave radiation, wind speed and vapour pressure were regarded to be

consistent across the field during the UAV sensing. Thus, the different ET rates along the trees

were determined, which were mainly derived by the differences of canopy temperature and LAI

(hence, vegetation fractional cover), as the similar patterns were confirmed in surface

temperature map and NDVI (or LAI) map (Figure 6.9).

Figure 6.10 The estimated ET map (mm/hr): (left) the ET distribution over the

orchards; (right) the tree ET which excluded background soil

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The estimated ET was compared with the leaf transpiration rate (mmol m-2 sec-1) measured

by the gas exchange analyser (LI-6400, LI-COR Inc., Lincoln, Nebraska, USA) which was

conducted on the three reference trees as shown in Figure 6.11.

Figure 6.11 Comparison between the estimated ET and leaf transpiration on the

sample trees

The estimated ET showed a strong relationship (R2: 0.9) with the average value of leaf

transpiration. The magnitude of relationship could be over-estimated, as the dataset consists of a

small number of measurements. Nevertheless, the result can indicate that the estimated canopy

ET was correlated with the ground-measurement of leaf transpiration.

Although a direct measurement of ET such as eddy covariance was not available as the

validation data in the research, the crop ET (𝐸𝑇𝑐) value of the study field was compared with

the estimated ET in order to evaluate the method. 𝐸𝑇𝑐 was acquired by using reference crop ET

(𝐸𝑇𝑜) and the basal crop coefficient (𝐾𝑐𝑏) adjusted for tree size as follows:

𝐸𝑇𝑐 = 𝐾𝑐𝐸𝑇𝑜 (6.11)

where, 𝐾𝑐 is the crop coefficient and can be divided into two coefficients: soil evaporation

coefficient (𝐾𝑒) and basal crop coefficient (𝐾𝑐𝑏) which refer to the contribution of soil

evaporation and crop transpiration in modelling crop ET, respectively (Allen et al., 1998). 𝐾𝑐𝑏

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has been considered to improve the daily crop water use in irrigated row crops. Thereby, 𝐸𝑇𝑐 is

expressed as follows:

𝐸𝑇𝑐 = (𝐾𝑒 + 𝐾𝑐𝑏)𝐸𝑇𝑜 (6.12)

A research has been conducted to determine 𝐾𝑐𝑏 over the same study site of peach orchards

at Tatura, Victoria (Goodwin et al., 2006). Therefore, this research adopted the site-specific

crop coefficient (1.52) from the finding of Goodwin et al. (2006).

As 𝐸𝑇𝑐 indicates the daily evapotranspiration, the estimated hourly ET from the UAV

sensing was up-scaled to the daily value using the extrapolation method (Chávez et al., 2008) as

follows:

𝐸𝑇𝑑 = (𝐿𝐸𝑖/𝑅𝑛,𝑖)𝑅𝑛,𝑑(𝑐𝑓/𝜆𝑣𝜌𝑤) (6.13)

where, 𝐿𝐸𝑖 and 𝑅𝑛,𝑖 are instantaneous latent heat flux and net radiation and obtained from

the estimated energy components. 𝑅𝑛,𝑑 is the mean net radiation of daily (24 hours) and

measured from the net radiometer. 𝑐𝑓 is a unit conversion factor of time. 𝜆𝑣 and 𝜌𝑤 are latent

heat of vaporization and water density, respectively.

As a result, the extrapolated daily ET was obtained as 5.50 (mm d-1), whereas the crop ET

was calculated as 6.35 (mm d-1). The difference of two daily ET values showed as 0.85 (mm d-

1). Considering that the extrapolated ET can include the estimation errors (e.g., ranging from

0.25 to 1.17 mm d-1) depending on the extrapolation methods and crop types (Chávez et al.,

2008), the estimated daily ET value can be interpreted to be within a range of expected ET,

showing a close value of the crop ET. Although it was challenging to evaluate the results

thoroughly due to the absence of sufficient validation data such as the directly measured ET or

multi-seasonal UAV data, the estimated results were compared with leaf transpiration and the

daily crop ET for showing that the method has a potential possibility to estimate tree-by-tree ET

with intra-field variability and to accommodate to VHR imagery. The research method can be

supported by further experiments and needs to be explored with different

sites/cultivars/phenological stages.

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6.4 Conclusions

This research examined the estimation of ET using very-high-resolution (VHR)

multispectral and thermal imagery (GSD < 8 cm) derived from the UAV sensing. The energy

balance components were estimated based on HRMET surface energy balance model. The tree-

by-tree analytic maps were produced by the systematic feature segmentation method based on

pure canopy extraction and statistical analysis of the distribution of surface temperatures and

LAI. A strong linear relationship between the estimated ET and the leaf transpiration was

obtained in this work. The estimated ET presented a close value to the crop ET over the study

site. The proposed approach can potentially provide a practical method of assessing the intra-

field variability of tree-by-tree ET at sub-field scale for the irrigation scheduling. As a future

work, further research on VHR ET estimation will be investigated along with various RSEB

models and different field sites.

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Chapter 7 : Summary and conclusions

The aim of the research was to estimate plant water stress and evapotranspiration (ET) by

integrating very-high-resolution (VHR) imagery into crop water stress model and surface

energy balance model. Thermal infrared (TIR) and multispectral (MS) imagery from unmanned

aerial vehicles (UAVs) system was used as inputs of surface temperature and vegetation canopy

structure. The proposed methodology relatively required the least ground-based measurements

compared to the existing methods. The major results and findings are presented as follows.

New adaptive approach of CWSI estimation

• The research focused on presenting the plant water stress level by a quantitative index:

crop water stress index (CWSI), conducted by TIR-based UAV remote sensing in order

to assess the spatial variability of water stress over the area. The new method of CWSI

estimation was proposed to estimate CWSI by addressing an adaptive approach in two

aspects.

• Firstly, the research found that the behaviour of canopy temperature was different from

cultivar type and canopy training structure over the region even in the same irrigation

regime. General CWSI methods, employing single reference boundary (simply, Twet and

Tdry), could not accommodate to such behaviour. Thus, the research proposed multiple

reference boundaries based on classifying the region into sub-regions. In the research,

sub-region was defined as an area which contained the same crop property. Allowing

multiple sets of Twet and Tdry, sub-region specific CWSI was achieved in the research.

• Secondly, a statistical approach combined with feature extraction was proposed to

determine automatic thresholds of Twet and Tdry. The research hypothesised that Twet and

Tdry can be obtained at two extremes in the distribution of canopy temperatures under the

assumption of the presence of water-stressed and non-water-stressed plants in the region.

Mixed pixels of canopy and non-canopy were discarded to obtain pure canopy

distribution in the temperature histogram, by adopting the method of edge detection and

extraction. The edge-free distributions allowed separation of canopy and soil

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temperatures by applying the bimodal Gaussian mixture modelling. The threshold of Twet

and Tdry was determined automatically at 99 % confident interval limits from the canopy

temperature distribution in the modelling.

• The adaptive CWSI was evaluated by presenting strong relationships with plant

physiological measurements: stem water potential (ψstem) and stomatal conductance (gs).

In addition, the adaptive CWSI was compared with a conventional CWSI method

(simply, single reference CWSI), which use single Twet and Tdry by non-water-stress-

baseline derived from VPD and Tc−Ta. The adaptive CWSI showed a higher correlation

to ψstem and gs than the single reference CWSI. The estimated CWSI values were

presented as an analytic map, which enabled to interpret the distributed plant water stress

in high resolution, and to assess spatial variability within the region.

Extended research of the adaptive CWSI

• The research also explored daytime CWSIs and plant physiological parameter (gs) in

water deficit irrigation regime as extended research of adaptive CWSI. Daytime CWSI

was acquired by TIR-UAV sensing at three different times of the day: 9 h, 12 h, and 15 h.

The magnitude of gs changed linearly according to the plant water stress level at three

times of measurements. Midday and afternoon gs were measured at the similar range,

while morning gs showed less conductance rate than the other time.

• In water deficit irrigation plots, midday and afternoon gs responded at lower rates than

morning gs, showing that the water-stressed plants behave with more limited stomatal

conductance during daytime. The estimated CWSIs showed significant correlation with gs

according to the irrigation levels at every flight times of the day in the research. In

particular, morning CWSI was estimated at a reliable level to interpret plant water stress.

The research found that the estimated CWSIs were incorporated according to magnitude

of gs during the day.

• By presenting the relationships between estimated CWSI and plant physiological

measurements taken three times of the day, the research could potentially promise any-

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daytime CWSI estimation of the day and the extended optimal flight time of UAV

sensing.

Quantifying the plant water use

• The research concentrated on quantifying the plant water use as the form of

evapotranspiration (ET) conducted by TIR-MS-based UAV remote sensing in order to

present the spatial variability of ET. The research estimated ET by using high resolution

mapping of evapotranspiration (HRMET), one of the current surface energy balance

models.

• In order to obtain accurate parameters of the ET model, several steps of pre- and post-

processing were conducted in the research. TIR imagery was calibrated to retrieve actual

surface temperature and MS imagery was radiometrically corrected for producing canopy

structural index. TIR and MS orthoimages were co-registered with geo-reference.

• Photosynthetically active radiation (PAR)-based leaf area index (LAI) was estimated to

obtain the canopy cover parameter of ET model. PAR-based LAI was calculated by a

radiative model of transmitting and scattering radiations. Spatially distributed LAIs were

generated by the exponential relationship with NDVI map.

• Individual trees were segmented systematically by the information of tree- and inter-

spacing. As a result, the estimated ET presented the tree-level ET for interpreting the

variability between plants and allowing the analysis of tree-by-tree water losses.

• The estimated ET showed a strong relationship with measured leaf transpiration. Daily

crop ET was compared with the estimated ET. The result was laid in the expected ET

range, showing a close value to the crop ET.

To sum up, the evaluation results in this research showed that: 1) the adaptive CWSI

method showed strong relationships with stem water potential (ψstem) and stomatal conductance

(gs) as plant physiological measurements. A higher correlation to ψstem and gs was obtained than

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the single reference CWSI; 2) Diurnal CWSIs showed significant correlation to gs according to

the irrigation levels at three different times of the day (from morning to afternoon); and 3) the

estimated ET was obtained with a strong linear relationship with leaf transpiration (Tr).

This research contributes towards the improvement of the precise and rapid estimation of

the plant water stress level by the adaptive method of CWSI using TIR-based UAV sensing in

order to assess the spatial variability of water stress over heterogeneous agricultural fields. In

addition, this research contributes to the analysis of the tree-by-tree ET which quantifies the

plant water use as well as the assessment of the intra-field variability of ET using TIR-MS-

based UAV sensing.

The main research was conducted by one day UAV campaign in summertime. The main

study site was nectarine and peach orchards as a heterogeneous field. Thus, various crop-

cultivar-site- and time-specific experiments will remain for further research. Future research

will show to what extent the presented approaches are applicable in the area of precise

agricultures.

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