the stochastic modeling to estimate the economic consequences of reproductive performance in dairy...

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1 C. Inchaisri, H. Hogeveen, R. Jorritsma, P.L.A.M., Vos, G.C. van der Weijden The stochastic modeling to estimate the economic consequences of reproductive performance in dairy cattle

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Page 1: The stochastic modeling to estimate the economic consequences of reproductive performance in dairy cattle

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C. Inchaisri, H. Hogeveen,

R. Jorritsma, P.L.A.M., Vos,

G.C. van der Weijden

The stochastic modeling to estimate the

economic consequences of reproductive

performance in dairy cattle

Page 2: The stochastic modeling to estimate the economic consequences of reproductive performance in dairy cattle

Introduction

• Reproductive performance of individual cows is the

result of physiological interactions

• Many cow factors are involved

– Parity

– Milk production level

– Health

– Lactation stage

• The interactions are complex

• What are the economic consequences of these

interactions?2

Page 3: The stochastic modeling to estimate the economic consequences of reproductive performance in dairy cattle

Objectives

• To create a simulation model

1. To calculate the economic consequences for

reproductive performance of single cows – Average

– Good

– Poor

2. To calculate the economic benefits of improving

individual reproduction parameters.

3

Page 4: The stochastic modeling to estimate the economic consequences of reproductive performance in dairy cattle

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Methodology

• Dynamic stochastic simulation model

– Monte Carlo

• One week of time step

• The relations of cow factors were adjusted

– Literature

– Authors’ expertise

Page 5: The stochastic modeling to estimate the economic consequences of reproductive performance in dairy cattle

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Dynamics of the model

Page 6: The stochastic modeling to estimate the economic consequences of reproductive performance in dairy cattle

Cow

Milk production

1st Ovulation

Ovulation

summarize

DisorderEstrous

Detection

AI

Conception

yes

yes

yes

yes

no

no

no

no

yes

Page 7: The stochastic modeling to estimate the economic consequences of reproductive performance in dairy cattle

Milk production

• Wood’s Function

• Depending on

– Parity, milk declining rate, milk production loss due

to gestation

• Base values

– Norm (8310 10%) kg/305 days

– 6 wks at peak

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Page 8: The stochastic modeling to estimate the economic consequences of reproductive performance in dairy cattle

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The first ovulation

• 1st Ovulation time (wks)

• Depending on parity

– Primiparous cows

= Lognorm(5.36, 5.04, Truncate(1, 10))

– Multiparous cows

= Lognorm(4.53, 3.08, Truncate(1, 10))

Page 9: The stochastic modeling to estimate the economic consequences of reproductive performance in dairy cattle

Cow

Milk production

1st Ovulation

Ovulation

Estrous

Detection

AI

Conception

yes

yes

yes

yes

no

no

no

no

Page 10: The stochastic modeling to estimate the economic consequences of reproductive performance in dairy cattle

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Cow

Milk production

1st Ovulation

Disorder

Ovulation

summarize

Estrous

Detection

AI

Conception

yes

yes

yes

yes

no

no

no

no

yes

Culling, if not pregnant

40 wks pp.

Page 11: The stochastic modeling to estimate the economic consequences of reproductive performance in dairy cattle

Reproductive cycle 1

• Ovulation

– At least 3 weeks interval

• Estrous detection

– Milk production

– Days in milk

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Page 12: The stochastic modeling to estimate the economic consequences of reproductive performance in dairy cattle

Reproductive cycle 2

• Insemination

– Voluntary waiting period (VWP)

• Conception

– Parity

– Milk production

– Days in milk

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Page 13: The stochastic modeling to estimate the economic consequences of reproductive performance in dairy cattle

Internal validation

• Input, processing and output

• The rationalism method

• Face validity

Page 14: The stochastic modeling to estimate the economic consequences of reproductive performance in dairy cattle

Economic calculation

Excellent & Realistic scenarios

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Annual Economic losses

Revenue

and Cost

Net

Economic

Losses

A partial

budget

approach

Milk(kg)/cow/yr

Calves/cow/yr

No. Services

Culled cow

Calving

management

Page 15: The stochastic modeling to estimate the economic consequences of reproductive performance in dairy cattle

Input of excellent scenario

Reproductive performances Excellent

The ovulations rate after the 1st ovulation 1.00

Estrus detection rate 1.00

Conception rate 1.00

Incidence rate of disorders 0

Voluntary waiting period (wks) 6

Page 16: The stochastic modeling to estimate the economic consequences of reproductive performance in dairy cattle

Input of realistic scenarios

Reproductive performances Good Average Poor

The ovulations rate after the 1st ovulation 1.00 0.95 0.90

Estrus detection rate 0.70 0.50 0.30

Conception rate 0.70 0.50 0.30

Incidence rate of disorders 0.03 0.07 0.11

Voluntary waiting period (wks) 9 12 15

Page 17: The stochastic modeling to estimate the economic consequences of reproductive performance in dairy cattle

Results and conclusion

Page 18: The stochastic modeling to estimate the economic consequences of reproductive performance in dairy cattle

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0

10

20

30

40

50

60

70

80

90

0 50 100 150 200 250 300 350 400 450 500 550 600 650 700 750 800 850 900 9501000

Per

cen

t o

f co

ws

Annual net economic losses (€/cow)

Distribution of economic losses

per cow per year

Good

Average

Poor

Page 19: The stochastic modeling to estimate the economic consequences of reproductive performance in dairy cattle

Mean net losses per cow per year

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0 € 28

€ 88

€ 282

0

50

100

150

200

250

300

Excellent Good Average Poor

Page 20: The stochastic modeling to estimate the economic consequences of reproductive performance in dairy cattle

Economic losses Good Average Poor

Milk production 26 72 128

Calf 11 21 30

Culling 0 14 187

AI 3 8 12

Calving management -13 -25 -35

Page 21: The stochastic modeling to estimate the economic consequences of reproductive performance in dairy cattle

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Sensitivity analysis

0.90

1.00

0.30

0.70

0.30

0.70

0.11

0.30

15 wks

9 wks

2.32

-1.04

74.95

-22.83

95.30

-33.40

0.67

-0.49

20.82

-16.86

-50 -30 -10 10 30 50 70 90 110

Ovulation

Estrous detection

Conception

Incidence rate

Voluntary waiting period

Page 22: The stochastic modeling to estimate the economic consequences of reproductive performance in dairy cattle

• Main causes

– Decreased milk production

– Increased culling rate (poor fertility)

• The conception rate, estrous detection rate

and VWP have the large effect on economic

• These losses could vary largely between

cows

Page 23: The stochastic modeling to estimate the economic consequences of reproductive performance in dairy cattle

• Next steps

– Which combination of cow factors is responsible

for the high and low economic outcomes ???

Page 24: The stochastic modeling to estimate the economic consequences of reproductive performance in dairy cattle

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