appendix 4 · 2020. 6. 15. · appendix 4.4 public | wsp project no.: 70068030 june 2020...
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001 JUNE 2020 PUBLIC
Northamptonshire County Council
APPENDIX 4.4
Dispersion Model Approach and Verification
Northamptonshire County Council
APPENDIX 4.4
Dispersion Model Approach and Verification
APPENDIX 4.4 PUBLIC | WSP Project No.: 70068030 001 June 2020 Northamptonshire County Council
TYPE OF DOCUMENT (VERSION) PUBLIC
PROJECT NO. 70068030
OUR REF. NO. 001
DATE: JUNE 2020
WSP
Three White Rose Office Park
Millshaw Park Lane
Leeds
LS11 0DL
WSP.com
APPENDIX 4.4 PUBLIC | WSP Project No.: 70068030 June 2020 Northamptonshire County Council Page 1 of 25
DISPERSION MODEL APPROACH AND VERIFICATION
INTRODUCTION
Air pollution in urban areas is dominated by emissions from road vehicles. The main pollutants of
concern from road traffic are oxides of nitrogen (NOx/NO2) and fine particulate matter (PM10 and
PM2.5), since these pollutants are most likely to approach their relevant air quality limit values in
proximity to major road links.
The introduction of the Proposed Scheme has the potential to change the total flow, distribution and
characteristics of traffic movements on the affected road links, which would result in changes to
emissions of the aforementioned pollutants. The local air quality assessment was completed to
predict the potential impacts of these changes on ambient pollutant concentrations at identified
sensitive receptors within proximity to affected roads.
The air quality conditions were described for the base year (2018) and Assessment Years (2021 and
2031). In 2021 and 2031, the dispersion modelling assessment considered both the Do-Minimum
(‘without’ Proposed Scheme) and Do-Something (‘with’ Proposed Scheme) scenarios.
The changes in local traffic related pollution levels predicted at the receptor locations were assessed
by comparing the predicted concentrations of NO2, PM10 and PM2.5 with the current air quality
Objectives and considering the change (improvement or worsening) between the Do-Minimum and
both Do-Something scenarios.
MODELLING METHODOLOGY
ATMOSPHERIC DISPERSION MODEL SELECTION
The predicted impacts on local air quality associated with changes to vehicle emissions as a result
of the operation of the scheme were assessed using Cambridge Environmental Research
Consultants (CERC) atmospheric dispersion modelling system for roads (ADMS-Roads v5.0.0.1).
ADMS-Roads applies advanced algorithms for the height-dependence of wind speed, turbulence
and stability to produce improved predictions of air pollutant concentrations within the given model
domain. It can predict long-term and short-term concentrations, as well as calculations of percentile
concentrations.
ADMS-Roads is a validated model, developed in the UK by CERC. The model validation process
includes comparisons with data from the UK's Automatic Urban Rural Network (AURN) and specific
verification exercises using standard field, laboratory and numerical data sets. CERC is also
involved in European programmes on model harmonisation, and their models were compared
favourably against other EU and U.S. EPA systems. Further information in relation to this is
available from the CERC web site at http://www.cerc.co.uk/environmental-software/model-
validation.html.
ATMOSPHERIC DISPERSION MODELLING PROCESS
The procedures involved in undertaking the dispersion modelling assessment are outlined below:
▪ Collation of input data – traffic data (flows, speeds, percentage of Heavy Duty Vehicles (HDVs)),
road network mapping, sensitive receptor coordinates and meteorological data;
APPENDIX 4.4 PUBLIC | WSP Project No.: 70068030 June 2020 Northamptonshire County Council Page 2 of 25
▪ Input of data in to the ADMS-Roads model for the scenarios to be modelled;
▪ Development of emissions inventories for each pollutant to be assessed, using Defra’s emission
factor toolkit (EFT v9.0);
▪ Running the ADMS-Roads model for each considered scenario;
▪ Conversion of modelled NOX concentrations to NO2 concentrations using Defra’s NOx-NO2
calculator v7.1;
▪ Addition of Defra background concentrations to the modelled concentrations with the background
road sector contribution removed (Motorways, Trunk Roads and Primary Roads) to avoid double
counting of the road source component;
▪ Verification and adjustment of modelled road-NOx contributions from the assessed road network
through analysing the ADMS-Roads modelled road-NOx outputs versus scheme specific
monitored road-NOx for the base year scenario (2018);
▪ Comparison of predicted NO2, PM10 and PM2.5 concentrations at all receptors to the relevant air
quality Objectives in each scenario; and
▪ Analysis of changes in pollutant concentrations between the Do Minimum and Do Something
scenarios to assess the significance of impacts associated with the Proposed Scheme on local
air quality.
TRAFFIC DATA
Updated Model
Recalibration of Base Year Model
The Northamptonshire Strategic Transport Model (NSTM) base output has been recalibrated using
traffic counts undertaken in May 2019 for an average weekday at key locations in proximity to the
Proposed Scheme. The model was calibrated and validated based on the WebTAG guidelines and
is considered to be more robust in the forecasting future of traffic than the data used to inform the
Environmental Statement in July 2019.
Forecast Traffic
Forecasting of traffic on the Proposed Scheme and wider network has been completed as follows:
• Considering uncertainty logs for the traffic originating/terminating from the Proposed Scheme
for the year 2021 and 2031 in the influence area and wider area of the scheme;
• Assigning traffic using the SATURN assignment software for the forecast years and
assessment scenarios; and
• The air quality flows were estimated based on the factors developed from the Automatic Traffic
Counts (ATC) data in the proximity of the Proposed Scheme.
Model Scenarios
Traffic flow data comprising period breakdown, traffic composition (percentage HDVs) and average
link speeds (km/h) were used in the modelling as provided for the assessed road network.
Traffic flow data were provided by the project transport planning consultants (WSP). Data were
provided for the following scenarios:
▪ Base/verification year of 2018;
▪ Do-minimum 2021;
▪ Do-something 2021;
APPENDIX 4.4 PUBLIC | WSP Project No.: 70068030 June 2020 Northamptonshire County Council Page 3 of 25
▪ Do-minimum 2031; and
▪ Do-something 2031.
Data Screening
Traffic data was screened in accordance with the DMRB LA 105 guidance as stated below:
▪ A change in annual average daily traffic (AADT) >=1,000; or
▪ A change in heavy duty vehicle (HDV) AADT >=200; or
▪ A change in speed band; or
▪ A change in carriageway alignment by >=5m
TIME VARYING EMISSIONS
The ADMS-Roads model uses an hourly traffic flow based on the daily (AADT) flows. Traffic flows
follow a diurnal variation profile throughout the day, thus emissions throughout a 24-hour period will
be weighted according to the profile of traffic during peak, inter-peak and off-peak periods.
To account for this, traffic data were provided as hourly averages representative of the
aforementioned periods (AM peak, PM peak, inter peak and off peak). Therefore, vehicle emission
sources relative to each period of the day were assigned to the appropriate hours within ADMS-
Roads, thus allowing the respective time-varying nature of emissions to be simulated within
dispersion modelling. A diurnal profile was used in the model to replicate how the average hourly
traffic flow varies throughout weekdays and on Saturday and Sunday. Various ATC were conducted
in association with the Proposed Scheme. A diurnal profile was created by taking an average of the
closest ATC locations to the Proposed Scheme based on surveys completed in September
METEOROLOGICAL DATA
ADMS-Roads utilises hourly sequential meteorological data; including wind direction, wind speed,
temperature, precipitation and cloud cover, to facilitate the prediction of pollution dispersion between
source and receptor.
Meteorological data input to the model were obtained from the closest meteorological station,
Bedford, for the year 2018. The 2018 data was used to be consistent with the base/verification traffic
year and were applied to the remaining scenarios for the local air quality assessment. The 2018
wind rose is presented as Figure 4.4-1.
APPENDIX 4.4 PUBLIC | WSP Project No.: 70068030 June 2020 Northamptonshire County Council Page 4 of 25
Figure 4.4-1- Bedford 2018 Wind Rose based on hourly data
CONVERSION OF NOX TO NO2
NOx concentrations were predicted using the ADMS-Roads model. The modelled road contribution
of NOx at the modelled receptor locations was then converted to NO2 using the NOx to NO2
calculator (v7.1), in accordance with Defra guidance.
MODEL VERIFICATION METHODOLOGY
MODEL VALIDATION
The ADMS-Roads dispersion model has been validated for road traffic assessments and is
considered to be fit for purpose. Model validation undertaken by the software developer CERC is
unlikely to have included validation in the vicinity of the scheme considered in this assessment. It is
therefore necessary to perform a comparison of model results with local monitoring data at relevant
locations.
MODEL VERIFICATION
The comparison of modelled concentrations with local monitored concentrations is a process termed
‘verification’. Model verification investigates the discrepancies between modelled and measured
concentrations, which can arise due to the presence of inaccuracies and/or uncertainties in model
input data, modelling and monitoring data assumptions. The following are examples of potential
causes of such discrepancy:
\\uk.wspgroup.com\central data\Projects\700215xx\70021598 - Northampton NW Relief Road\E Models and Drawings\Environment\Air Quality\Modelling\Met Data\Bedford_18.met
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APPENDIX 4.4 PUBLIC | WSP Project No.: 70068030 June 2020 Northamptonshire County Council Page 5 of 25
▪ Estimates of background pollutant concentrations;
▪ Meteorological data uncertainties;
▪ Traffic data uncertainties;
▪ Model input parameters, such as ‘roughness length; and
▪ Overall limitations of the dispersion model.
Full details of the model verification process specific to the Proposed Scheme modelling
assessment are provided in the ‘Assessment Verification Methodology’ section below.
MODEL PRECISION
Residual uncertainty may remain after systematic error or ‘model accuracy’ has been accounted for
in the final predictions. Residual uncertainty may be considered synonymous with the ‘precision’ of
the model predictions, i.e. how wide the scatter or residual variability of the predicted values
compare with the monitored true value, once systematic error has been allowed for. The
quantification of model precision provides an estimate of how the final predictions may deviate from
true (monitored) values at the same location over the same period. Suitable local monitoring data for
the purpose of verification is used for model verification.
An evaluation of model performance has been undertaken to establish confidence in model results.
LAQM.TG16 identifies a number of statistical procedures that are appropriate to evaluate model
performance and assess the uncertainty. The statistical parameters used in this assessment are:
▪ Root mean square error (RMSE);
▪ Fractional bias (FB); and
▪ Correlation coefficient (CC)
A brief explanation of each statistic is provided in
APPENDIX 4.4 PUBLIC | WSP Project No.: 70068030 June 2020 Northamptonshire County Council Page 6 of 25
Table 4.4-1 and further details can be found in Defra’s LAQM.TG16 document.
APPENDIX 4.4 PUBLIC | WSP Project No.: 70068030 June 2020 Northamptonshire County Council Page 7 of 25
Table 4.4-1 – Model Performance Statistics
Statistical Parameter Comments Ideal Value
RMSE RMSE is used to define the average error or uncertainty of the model.
The units of RMSE are the same as the quantities compared.
If the RMSE values are higher than 25% of the Objective being assessed, it is recommended that the model inputs and verification should be revisited in order to make improvements.
For example, if the model predictions are for the annual mean NO2 Objective of 40µg/m3, if an RMSE of 10 µg/m3 or above is determined for a model it is advised to revisit the model parameters and model verification.
Ideally an RMSE within 10% of the air quality Objective would be derived, which equates to 4 µg/m3 for the annual mean NO2 Objective.
0.0
FB It is used to identify if the model shows a systematic tendency to over or under predict. FB values vary between +2 and -2 and has an ideal value of zero. Negative values suggest a model over-prediction and positive values suggest a model under-prediction.
0.0
CC It is used to measure the linear relationship between predicted and observed data. A value of zero means no relationship and a value of 1 means absolute relationship. This statistic can be particularly useful when comparing a large number of model and observed data points.
1.00
The calculations were carried out after model adjustment to provide information on the improvement
of the model predictions as a result of the application of the verification adjustment factors.
ASSESSMENT VERIFICATION METHODOLOGY
The verification process involves a review of the modelled pollutant concentrations against
corresponding monitoring data to determine how well the air quality model has performed.
Depending on the outcome it may be considered that the model has performed adequately and that
there is no need to adjust any of the modelled results LAQM.TG (16).
Alternatively, the model may perform outside of the ideal performance limits as stated by
LAQM.TG16 (i.e. model agrees within +/-25% of monitored equivalent). There is then a need to
check all the input data to ensure that it is reasonable and accurately represented in the air quality
modelling process.
Where all input data, such as traffic data, emissions rates, and background concentrations have
been checked and considered as reasonable, then the modelled results require adjustment to best
align with the monitoring data. The adjustment was applied to the NOx road source contribution
(road-NOx) and not total NO2, given that ADMS-Roads was used to predict road-NOx only. This
ensured that any adjustment was applied to road-NOx prior to being used in the NOx to NO2
conversion process.
APPENDIX 4.4 PUBLIC | WSP Project No.: 70068030 June 2020 Northamptonshire County Council Page 8 of 25
ASSESSMENT VERIFICATION RESULTS
As outlined in Section 4.2 of the Environmental Statement, NBC have applied a mixture of local and
national bias adjustment factors to raw monitoring data in the last five Defra report submissions.
During consultation, NBC have requested that sensitivity testing on modelled results, is undertaken
using monitoring data adjusted by both local and national bias adjustment factors to determine the
impact on the model results. A bespoke study was previously carried out by Bureau Veritas1 to
provide transparency as to the reasoning for applying a local bias adjustment factor to monitored
results for 2018 and 2019, and to compare these results to those obtained using a national bias
adjustment factor.
Predicted concentration results produced using an urban background site derived local bias factor
(Spring Hill AURN), a roadside site derived local bias factor (Wellingborough Road AURN) and a
national bias factor adjusted monitoring data have been compared.
The modelled and monitored NO2 concentrations for the monitoring locations used for the
verification process are presented as follows:
▪ Before road-NOx adjustment:
• Table 4.4-2 Model Verification Before Adjustment (Local Bias Factor (0.79))
• Table 4.4-3 Model Verification Before Adjustment (Local Bias Factor (0.85))
• Table 4.4-4 Model Verification Before Adjustment (National Bias Factor (0.93))
▪ After road-NOx adjustment:
• Table 4.4-5 Model Verification After Adjustment (Local Bias Factor (0.79))
• Table 4.4-6 Model Verification After Adjustment (Local Bias Factor (0.85))
• Table 4.4-7 Model Verification After Adjustment (National Bias Factor (0.93))
The initial comparison between the total modelled and monitored annual mean NO2 concentration
values illustrate that the model tends to under predict NO2 concentrations within the study area.
1 Northampton Borough Council 2019 Diffusion Tube Bias Adjustment – Local Air Quality Management December 2019
APPENDIX 4.4 PUBLIC | WSP Project No.: 70068030 June 2020 Northamptonshire County Council Page 9 of 25
Model Verification Before Adjustment
Table 4.4-2 – Model Verification Before Adjustment (Local Bias Factor (0.79))
Monitoring Site ID
2018 Measured Data (µg/m3)
Measured Road-NOx (µg/m3) from NOx:NO2 Calculator
Modelled road-NOx (µg/m3)- Before adjustment
Modelled Annual Mean NO2 Concentration (µg/m3)- Before adjustment
% Difference (Measured vs Monitored NO2)
NLR2 14.4 10.8 3.6 10.5 -26.7
NLR3 16.5 15.7 2.4 9.5 -42.7
NLR4 13.5 9.7 3.4 10.2 -24.9
NLR7 15.2 6.9 2.9 12.8 -15.7
NLR8 11.0 -0.2 8.1 15.5 41.4
NLR9 15.8 8.3 3.5 13.0 -17.7
NLR10 18.3 16.4 2.9 11.2 -38.6
8 33.6 43.9 5.7 15.2 -54.9
16 25.4 28.3 7.4 14.9 -41.2
17 30.0 34.6 8.9 17.5 -41.6
18 26.0 26.0 9.2 17.6 -32.2
19 25.4 24.8 6.0 16.0 -37.0
20 31.9 38.8 8.1 17.1 -46.4
21 29.3 33.1 5.6 15.8 -46.1
22 30.6 35.9 6.5 16.2 -47.0
23 34.9 45.5 8.8 17.4 -50.1
24 24.3 22.5 7.0 16.5 -32.1
25 26.9 29.2 7.5 16.1 -40.3
26 36.9 50.2 5.2 15.6 -57.8
APPENDIX 4.4 PUBLIC | WSP Project No.: 70068030 June 2020 Northamptonshire County Council Page 10 of 25
Monitoring Site ID
2018 Measured Data (µg/m3)
Measured Road-NOx (µg/m3) from NOx:NO2 Calculator
Modelled road-NOx (µg/m3)- Before adjustment
Modelled Annual Mean NO2 Concentration (µg/m3)- Before adjustment
% Difference (Measured vs Monitored NO2)
27 31.0 36.8 4.6 15.2 -50.8
28 26.7 27.5 6.7 16.3 -38.8
29 32.1 39.2 7.6 16.8 -47.6
36 33.9 40.2 8.8 18.9 -44.2
37 32.0 35.9 6.8 17.9 -44.2
38 34.9 42.4 8.0 18.5 -47.0
39 28.3 27.9 6.3 17.6 -37.7
40 34.4 41.3 9.0 19.0 -44.7
46 40.0 58.9 9.3 17.0 -57.4
50 30.1 36.1 6.9 15.8 -47.5
51 29.6 35.0 4.3 14.4 -51.5
52 36.0 49.4 8.5 16.6 -53.9
53 35.7 48.7 8.2 16.4 -54.0
54 37.7 53.4 11.6 18.2 -51.7
55 34.4 45.7 10.6 17.7 -48.7
56 31.5 39.2 8.8 16.8 -46.8
57 47.1 75.9 10.4 18.0 -61.9
59 33.4 42.7 7.1 16.3 -51.2
60 36.5 49.9 7.5 16.5 -54.9
61 30.7 36.7 5.3 15.4 -50.0
APPENDIX 4.4 PUBLIC | WSP Project No.: 70068030 June 2020 Northamptonshire County Council Page 11 of 25
Monitoring Site ID
2018 Measured Data (µg/m3)
Measured Road-NOx (µg/m3) from NOx:NO2 Calculator
Modelled road-NOx (µg/m3)- Before adjustment
Modelled Annual Mean NO2 Concentration (µg/m3)- Before adjustment
% Difference (Measured vs Monitored NO2)
62 26.1 26.8 5.4 15.4 -41.1
79 28.9 36.0 2.6 12.3 -57.5
82 23.0 22.6 5.1 13.8 -39.9
* Annualised mean concentration (2018). See Appendix 4.3
APPENDIX 4.4 PUBLIC | WSP Project No.: 70068030 June 2020 Northamptonshire County Council Page 12 of 25
Table 4.4-3 –Model Verification Before Adjustment (Local Bias Factor (0.85))
Monitoring Site ID
2018 Measured Data (µg/m3)
Measured Road-NOx (µg/m3) from NOx:NO2 Calculator
Modelled road-NOx (µg/m3)- Before adjustment
Modelled Annual Mean NO2 Concentration (µg/m3)- Before adjustment
% Difference (Measured vs Monitored NO2)
NLR2 15.5 12.9 3.6 10.5 -31.9
NLR3 17.8 18.2 2.4 9.5 -46.7
NLR4 14.5 11.7 3.4 10.2 -30.2
NLR7 16.4 9.2 2.9 12.8 -21.7
NLR8 11.8 0.6 8.1 15.5 31.4
NLR9 17.0 10.6 3.5 13.0 -23.5
NLR10 19.7 19.1 2.9 11.2 -42.9
8 36.2 49.8 5.7 15.2 -58.1
16 27.3 32.4 7.4 14.9 -45.4
17 32.3 39.6 8.9 17.5 -45.7
18 28.0 30.2 9.2 17.6 -36.9
19 27.3 28.8 6.0 16.0 -41.5
20 34.3 44.2 8.1 17.1 -50.2
21 31.5 37.9 5.6 15.8 -49.9
22 32.9 41.1 6.5 16.2 -50.7
23 37.6 51.7 8.8 17.4 -53.6
24 26.1 26.3 7.0 16.5 -36.9
25 28.9 33.6 7.5 16.1 -44.5
26 39.7 56.8 5.2 15.6 -60.7
27 33.4 42.0 4.6 15.2 -54.3
APPENDIX 4.4 PUBLIC | WSP Project No.: 70068030 June 2020 Northamptonshire County Council Page 13 of 25
Monitoring Site ID
2018 Measured Data (µg/m3)
Measured Road-NOx (µg/m3) from NOx:NO2 Calculator
Modelled road-NOx (µg/m3)- Before adjustment
Modelled Annual Mean NO2 Concentration (µg/m3)- Before adjustment
% Difference (Measured vs Monitored NO2)
28 28.7 31.8 6.7 16.3 -43.1
29 34.5 44.7 7.6 16.8 -51.3
36 36.5 46.0 8.8 18.9 -48.1
37 34.4 41.4 6.8 17.9 -48.1
38 37.6 48.5 8.0 18.5 -50.7
39 30.4 32.5 6.3 17.6 -42.1
40 37.0 47.3 9.0 19.0 -48.6
46 43.0 66.4 9.3 17.0 -60.4
50 32.4 41.2 6.9 15.8 -51.2
51 31.8 40.0 4.3 14.4 -54.9
52 38.7 55.9 8.5 16.6 -57.2
53 38.4 55.1 8.2 16.4 -57.3
54 40.6 60.3 11.6 18.2 -55.1
55 37.0 51.8 10.6 17.7 -52.3
56 33.9 44.6 8.8 16.8 -50.6
57 50.7 85.3 10.4 18.0 -64.6
59 35.9 48.5 7.1 16.3 -54.7
60 39.3 56.4 7.5 16.5 -58.1
61 33.0 41.9 5.3 15.4 -53.5
62 28.1 31.0 5.4 15.4 -45.3
APPENDIX 4.4 PUBLIC | WSP Project No.: 70068030 June 2020 Northamptonshire County Council Page 14 of 25
Monitoring Site ID
2018 Measured Data (µg/m3)
Measured Road-NOx (µg/m3) from NOx:NO2 Calculator
Modelled road-NOx (µg/m3)- Before adjustment
Modelled Annual Mean NO2 Concentration (µg/m3)- Before adjustment
% Difference (Measured vs Monitored NO2)
79 31.1 40.8 2.6 12.3 -60.5
82 24.7 26.2 5.1 13.8 -44.1
APPENDIX 4.4 PUBLIC | WSP Project No.: 70068030 June 2020 Northamptonshire County Council Page 15 of 25
Table 4.4-4 –Model Verification Before Adjustment (National Bias Factor (0.93))
Monitoring Site ID
2018 Measured Data (µg/m3)
Measured Road-NOx (µg/m3) from NOx:NO2 Calculator
Modelled road-NOx (µg/m3)- Before adjustment
Modelled Annual Mean NO2 Concentration (µg/m3)- Before adjustment
% Difference (Measured vs Monitored NO2)
NLR2 16.9 15.7 3.6 10.5 -37.8
NLR3 19.4 21.5 2.4 9.5 -51.3
NLR4 15.9 14.3 3.4 10.2 -36.2
NLR7 17.9 12.2 2.9 12.8 -28.4
NLR8 12.9 2.7 8.1 15.5 20.1
NLR9 18.5 13.7 3.5 13.0 -30.1
NLR10 21.5 22.9 2.9 11.2 -47.9
8 39.5 57.7 5.7 15.2 -61.6
16 29.9 38.0 7.4 14.9 -50.1
17 35.3 46.5 8.9 17.5 -50.4
18 30.7 36.1 9.2 17.6 -42.5
19 29.9 34.4 6.0 16.0 -46.5
20 37.6 51.8 8.1 17.1 -54.5
21 34.5 44.6 5.6 15.8 -54.3
22 36.0 48.1 6.5 16.2 -54.9
23 41.1 60.2 8.8 17.4 -57.6
24 28.6 31.5 7.0 16.5 -42.3
25 31.7 39.7 7.5 16.1 -49.3
26 43.4 65.8 5.2 15.6 -64.1
27 36.5 49.2 4.6 15.2 -58.2
APPENDIX 4.4 PUBLIC | WSP Project No.: 70068030 June 2020 Northamptonshire County Council Page 16 of 25
Monitoring Site ID
2018 Measured Data (µg/m3)
Measured Road-NOx (µg/m3) from NOx:NO2 Calculator
Modelled road-NOx (µg/m3)- Before adjustment
Modelled Annual Mean NO2 Concentration (µg/m3)- Before adjustment
% Difference (Measured vs Monitored NO2)
28 31.5 37.9 6.7 16.3 -48.1
29 37.7 52.0 7.6 16.8 -55.4
36 39.9 54.1 8.8 18.9 -52.6
37 37.7 48.9 6.8 17.9 -52.6
38 41.1 57.0 8.0 18.5 -55.0
39 33.4 39.0 6.3 17.6 -47.2
40 40.5 55.5 9.0 19.0 -53.0
46 47.1 76.7 9.3 17.0 -63.8
50 35.4 48.0 6.9 15.8 -55.4
51 34.8 46.7 4.3 14.4 -58.7
52 42.3 64.5 8.5 16.6 -60.8
53 42.0 63.8 8.2 16.4 -60.9
54 44.3 69.5 11.6 18.2 -58.9
55 40.5 60.1 10.6 17.7 -56.4
56 37.1 52.0 8.8 16.8 -54.9
57 55.5 98.4 10.4 18.0 -67.6
59 39.3 56.5 7.1 16.3 -58.5
60 43.0 65.5 7.5 16.5 -61.7
61 36.1 48.9 5.3 15.4 -57.5
62 30.8 36.9 5.4 15.4 -50.1
APPENDIX 4.4 PUBLIC | WSP Project No.: 70068030 June 2020 Northamptonshire County Council Page 17 of 25
Monitoring Site ID
2018 Measured Data (µg/m3)
Measured Road-NOx (µg/m3) from NOx:NO2 Calculator
Modelled road-NOx (µg/m3)- Before adjustment
Modelled Annual Mean NO2 Concentration (µg/m3)- Before adjustment
% Difference (Measured vs Monitored NO2)
79 34.0 47.4 2.6 12.3 -63.9
82 27.0 31.0 5.1 13.8 -48.8
Due to the model tendenacy to under predict NO2 concentrations within the study area for both local
bias adjusted and national bias adjusted results, verification and adjustment of modelled road-NOx
was undertaken in accordance with LAQM.TG(16) for these monitoring locations
Comparison of Measured Road-NOx With Unadjusted Modelled Road-NOx
Adjustment factors were calculated for both local bias adjusted and national bias adjusted results.
The road-NOx adjustment factor was determined as the slope of the best fit line between the
‘measured’ road contribution and the model derived road contribution, forced through zero (Figures
4.4-2 and 4.4-3). This factor was then applied to the modelled road-NOx concentration for each
monitoring site to provide adjusted modelled road-NOx concentrations.
Figure 4.4-2- Comparison of Measured Road-NOx with Unadjusted Modelled Road-NOx using
the Local Bias Factor (0.79)
y = 4.9661x
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Unadjusted modelled Road-NOx (µg/m3)
APPENDIX 4.4 PUBLIC | WSP Project No.: 70068030 June 2020 Northamptonshire County Council Page 18 of 25
Figure 4.4-3- Comparison of Measured Road-NOx with Unadjusted Modelled Road-NOx using
the Local Bias Factor (0.85)
Figure 4.4-4- Comparison of Measured Road-NOx with Unadjusted Modelled Road-NOx using
the National Bias Factor (0.93)
These unadjusted modelled results were compared with the corresponding monitored data. Any
monitoring location with a disparity between monitored and modelled data of +/- 25% was removed
from the data set and the adjustment factor was re-calculated, in line with the methodology outlined
in LAQM.TG(16). This process was then repeated until every diffusion tube was within this range.
The modelled road-NOx predictions required to align with the monitoring data were adjusted using
the three methods are as follows:
▪ Urban background site derived local bias factor (Spring Hill AURN) * 5.24
▪ Roadside site local bias factor (Wellingborough Road AURN) * 5.95
▪ National bias factor * 6.95
The smallest road-NOx adjustment factor was required to align with the monitoring data bias
corrected using the urban background site (Spring Hill AURN).
y = 5.6672x
0
10
20
30
40
50
60
70
80
90
0 2 4 6 8 10 12 14 16
Measure
d r
oad
-NO
x (
µg/m
3)
Unadjusted modelled Road-NOx (µg/m3)
y = 6.6323x
0
20
40
60
80
100
120
0 2 4 6 8 10 12 14 16
Measure
d r
oad
-NO
x(µ
g/m
3)
Unadjusted modelled Road-NOx (µg/m3)
APPENDIX 4.4 PUBLIC | WSP Project No.: 70068030 June 2020 Northamptonshire County Council Page 19 of 25
Model Verification After Adjustment
The results of the model verification process for both local bias and national bias adjusted data can
be seen in Tables 4.4-4 and 4.4-5.
Table 4.4-5 –Model Verification After Adjustment (Local Bias Factor (0.79))
Monitoring Site ID 2018 Monitored NO2(µg/m3)
Modelled NO2 (µg/m3)- After adjustment
% Difference (Measured vs Monitored NO2)
NLR3 16.5 14.8 -10.4
NLR10 18.3 17.6 -3.8
8 33.6 27.3 -18.9
16 25.4 30.3 19.3
17 30.0 35.5 18.3
19 25.4 28.6 12.7
20 31.9 33.6 5.3
21 29.3 27.6 -5.8
22 30.6 29.7 -3.0
23 34.9 35.1 0.5
25 26.9 31.4 16.8
27 31.0 25.1 -19.2
28 26.7 30.2 13.1
29 32.1 32.3 0.7
36 33.9 36.6 7.9
37 32.0 31.8 -0.7
38 34.9 34.7 -0.6
39 28.3 30.8 8.7
40 34.4 37.1 7.7
APPENDIX 4.4 PUBLIC | WSP Project No.: 70068030 June 2020 Northamptonshire County Council Page 20 of 25
Monitoring Site ID 2018 Monitored NO2(µg/m3)
Modelled NO2 (µg/m3)- After adjustment
% Difference (Measured vs Monitored NO2)
46 40.0 35.7 -10.7
50 30.1 30.2 0.3
51 29.6 23.5 -20.5
52 36.0 33.8 -6.3
53 35.7 33.0 -7.5
54 37.7 40.8 8.3
55 34.4 38.5 11.8
56 31.5 34.5 9.6
57 47.1 38.4 -18.4
59 33.4 31.0 -7.1
60 36.5 31.8 -12.9
61 30.7 26.7 -13.1
62 26.1 26.8 2.6
82 23.0 24.7 7.4
APPENDIX 4.4 PUBLIC | WSP Project No.: 70068030 June 2020 Northamptonshire County Council Page 21 of 25
Table 4.4-6 –Model Verification After Adjustment (Local Bias Factor (0.85))
Monitoring Site ID 2018 Monitored NO2(µg/m3)
Modelled NO2 (µg/m3)- After adjustment
% Difference (Measured vs Monitored NO2)
NLR3 16.5 14.8 -10.4
NLR10 18.3 17.6 -3.8
8 33.6 27.3 -18.9
16 25.4 30.3 19.3
17 30.0 35.5 18.3
19 25.4 28.6 12.7
20 31.9 33.6 5.3
21 29.3 27.6 -5.8
22 30.6 29.7 -3.0
23 34.9 35.1 0.5
25 26.9 31.4 16.8
27 31.0 25.1 -19.2
28 26.7 30.2 13.1
29 32.1 32.3 0.7
36 33.9 36.6 7.9
37 32.0 31.8 -0.7
38 34.9 34.7 -0.6
39 28.3 30.8 8.7
40 34.4 37.1 7.7
46 40.0 35.7 -10.7
50 30.1 30.2 0.3
APPENDIX 4.4 PUBLIC | WSP Project No.: 70068030 June 2020 Northamptonshire County Council Page 22 of 25
Monitoring Site ID 2018 Monitored NO2(µg/m3)
Modelled NO2 (µg/m3)- After adjustment
% Difference (Measured vs Monitored NO2)
51 29.6 23.5 -20.5
52 36.0 33.8 -6.3
53 35.7 33.0 -7.5
54 37.7 40.8 8.3
55 34.4 38.5 11.8
56 31.5 34.5 9.6
57 47.1 38.4 -18.4
59 33.4 31.0 -7.1
60 36.5 31.8 -12.9
61 30.7 26.7 -13.1
62 26.1 26.8 2.6
82 23.0 24.7 7.4
APPENDIX 4.4 PUBLIC | WSP Project No.: 70068030 June 2020 Northamptonshire County Council Page 23 of 25
Table 4.4-7 – Model Verification After Adjustment (National Bias Factor (0.93))
Monitoring Site ID 2018 Monitored NO2(µg/m3)
Modelled NO2 (µg/m3)- After adjustment
% Difference (Measured vs Monitored NO2)
NLR3 19.4 16.9 -13.2
NLR7 17.9 21.6 20.4
NLR10 21.5 20.1 -6.8
8 39.5 31.8 -19.6
16 29.9 35.9 20.0
17 35.3 41.9 18.8
19 29.9 33.3 11.4
20 37.6 39.6 5.2
21 34.5 32.0 -7.2
22 36.0 34.6 -3.8
23 41.1 41.4 0.8
25 31.7 37.0 16.7
27 36.5 28.8 -21.2
28 31.5 35.3 12.0
29 37.7 38.0 0.7
36 39.9 42.9 7.5
37 37.7 36.9 -2.1
38 41.1 40.6 -1.3
39 33.4 35.6 6.6
40 40.5 43.5 7.4
46 47.1 42.4 -10.0
APPENDIX 4.4 PUBLIC | WSP Project No.: 70068030 June 2020 Northamptonshire County Council Page 24 of 25
Monitoring Site ID 2018 Monitored NO2(µg/m3)
Modelled NO2 (µg/m3)- After adjustment
% Difference (Measured vs Monitored NO2)
50 35.4 35.5 0.1
51 34.8 27.0 -22.4
52 42.3 39.9 -5.6
53 42.0 39.0 -7.1
54 44.3 48.7 10.0
55 40.5 45.8 13.1
56 37.1 40.9 10.2
57 55.5 45.7 -17.7
59 39.3 36.4 -7.3
60 43.0 37.4 -13.1
61 36.1 30.9 -14.3
62 30.8 31.0 0.8
82 27.0 28.8 6.7
SUMMARY
The summary of the verification outcome and model performance statistics for both local bias
adjusted and national bias adjusted results, as defined in LAQM.TG(16), are provided in Table 4.4-
8.
Table 4.4-8 - Summary of verified model performance and uncertainty statistics
Bias Adjustment Factor Applied
No. of monitoring sites
No. sites within +/-25%
No. sites within +/- 10%
Root Mean Square Error*
µg/m3 % of Objective
Local (0.79) 33 33 19 ±4.37 10.9
Local (0.85) 34 34 19 ±4.77 11.9
National (0.93) 34 34 17 ±5.31 13.3
To assess the uncertainty of a model, the RMSE is the simplest parameter to calculate. It provides
an estimate of the average error of the model in the same units as the model predictions. It is also
APPENDIX 4.4 PUBLIC | WSP Project No.: 70068030 June 2020 Northamptonshire County Council Page 25 of 25
often easier to interpret the RMSE than the other statistical parameter and therefore it has been
calculated in this assessment to understand the model uncertainty.
LAQM.TG(16) states that ‘If the RMSE values are higher than ±25% of the objective being
assessed, it is recommended that the model inputs and verification should be revisited in order to
make improvements. For example, if the model predictions are for the annual mean NO2 objective of
40µg/m3, if an RMSE of 10µg/m3 or above is determined for a model, the local authority would be
advised to revisit the model parameters and model verification. Ideally an RMSE within 10% of the
air quality objective would be derived, which equates to 4µg/m3 for the annual average NO2
objective.’
As shown in Tables 4.4-8, the local bias adjusted monitoring data (0.79) produces a lower RMSE. In
addition, the adjustment factor of 5.24 derived for the local (roadside) bias adjustment data (0.79) is
lower than the local (urban background) bias adjustment (0.85) 5.96 and national bias adjusted
factor data (0.93) of 6.95, meaning the modelled results are closer to the locally adjusted values.
With an RMSE at 10.9% of the objective and over half of the modelled predictions within 10% of the
monitored concentrations, the model is shown to perform well and is suitable for its intended use
when and with the local bias factor found to be the most appropriate. Therefore, these local bias
adjusted monitoring data (0.79) has been used in this assessment used to derive the primary
results. This is in conjunction with the previous findings of the study carried out by Bureau Veritas1.
In the absence of scheme-specific PM10 and PM2.5 monitoring, the derived model adjustment factor
for road-NOx was applied to modelled road contributions for these pollutants.
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