D.12 Jersey: ECM Yield

D.12.1: Full Period: 1998-2023

Model Summary

A. parametric coefficientsEstimateStd. Errort-valuep-value
(Intercept)18.53830.872221.2546\(< 0.0001\)
parityprimiparous-3.17810.0163-195.4078\(< 0.0001\)
year1999-0.82620.9761-0.84640.3973
year20000.01830.96900.01890.9849
year20010.71610.93240.76800.4425
year20021.19840.93421.28280.1996
year20031.68960.94071.79620.0725
year20042.31250.90842.54560.0109
year20052.61390.89272.92820.0034
year20062.74000.89193.07220.0021
year20072.51400.88732.83330.0046
year20082.92410.88613.29990.0010
year20093.04850.89283.41460.0006
year20103.29740.89993.6642\(< 0.0005\)
year20113.54190.89113.9750\(< 0.0001\)
year20123.87500.88334.3869\(< 0.0001\)
year20133.83430.88014.3567\(< 0.0001\)
year20144.53340.88485.1234\(< 0.0001\)
year20154.60290.88315.2123\(< 0.0001\)
year20164.93000.88185.5910\(< 0.0001\)
year20175.27860.88655.9547\(< 0.0001\)
year20185.65280.88506.3875\(< 0.0001\)
year20196.06670.87976.8962\(< 0.0001\)
year20206.38670.88497.2176\(< 0.0001\)
year20216.43760.88487.2758\(< 0.0001\)
year20226.18750.88456.9955\(< 0.0001\)
year20236.43720.87637.3457\(< 0.0001\)

B. smooth termsedfRef.dfF-valuep-value
s(thi_mean_t0_3d):paritymultiparous7.95197.9519114.8914\(< 0.0001\)
s(thi_mean_t0_3d):parityprimiparous5.66445.6644146.4984\(< 0.0001\)
s(days_in_milk_t):paritymultiparous13.571613.571634840.0802\(< 0.0001\)
s(days_in_milk_t):parityprimiparous13.075513.07553646.1487\(< 0.0001\)
Table D.67: Jersey: ECM Yield - 1998-2023 - GAMM model summary without random effect terms.

Smooth Term Fixed EffectEst.SEzp
s(thi_mean_t0_3d):multiFx10.6227970.1115375.58\(< 1e-07\)
s(thi_mean_t0_3d):primiFx10.4721030.1157084.08\(< 1e-04\)
s(days_in_milk_):multiFx13.875170.4269949.08\(< 1e-18\)
s(days_in_milk_):primiFx13.474220.6037785.75\(< 1e-08\)

Variance ComponentEstimated \( \sigma \)
\( \sigma_\alpha\)2.63725
\( \sigma_\iota\)1.11866
\( \sigma_\phi\)3.68271
s(thi_mean_t0_3d):multi1.89398
s(days_in_milk_):primi8.30084
s(days_in_milk_):multi8.67344
s(thi_mean_t0_3d):primi1.04356
Residual3.85243
Table D.68: Jersey: ECM Yield - 1998-2023 - Mixed Model Summary - Smooth Terms and Random Effects.

Model Diagnostics

Figure D.67: Jersey: ECM Yield - 1998-2023 - Diagnostic Plot
Figure D.67: Jersey: ECM Yield - 1998-2023 - Diagnostic Plot

THI Effect and Lactation Curve

Figure D.68: Jersey: ECM Yield - 1998 - 2023 - THI Effect and Lactation Curve

D.12.2: Split Period: Until 2010 - After 2010

D.12.2.1: Split Period: 1998 - 2010

Model Summary
A. parametric coefficientsEstimateStd. Errort-valuep-value
(Intercept)18.26690.757824.1067\(< 0.0001\)
parityprimiparous-2.59390.0256-101.3950\(< 0.0001\)
year1999-0.64680.8527-0.75860.4481
year20000.20270.83110.24390.8073
year20011.12650.80291.40300.1606
year20021.81050.80422.25130.0244
year20032.31250.79492.90930.0036
year20043.01930.78613.84070.0001
year20053.42020.77984.3858\(< 0.0001\)
year20063.64390.77564.6983\(< 0.0001\)
year20073.52880.77484.5543\(< 0.0001\)
year20084.08720.77535.2718\(< 0.0001\)
year20094.42020.77425.7095\(< 0.0001\)
year20104.85130.77096.2932\(< 0.0001\)

B. smooth termsedfRef.dfF-valuep-value
s(thi_mean_t0_3d):paritymultiparous6.77186.771842.2573\(< 0.0001\)
s(thi_mean_t0_3d):parityprimiparous4.97854.978551.3939\(< 0.0001\)
s(days_in_milk_t):paritymultiparous12.814612.814611531.2301\(< 0.0001\)
s(days_in_milk_t):parityprimiparous11.820611.82061844.1937\(< 0.0001\)
Table D.69: Jersey: ECM Yield - 1998-2010 - GAMM model summary without random effect terms.

Smooth Term Fixed EffectEst.SEzp
s(thi_mean_t0_3d):multiFx10.5565870.1665863.340.0008
s(thi_mean_t0_3d):primiFx10.3993620.1710632.330.0196
s(days_in_milk_):multiFx13.056180.6964014.39\(< 1e-04\)
s(days_in_milk_):primiFx12.773290.7885213.520.0004

Variance ComponentEstimated \( \sigma \)
\( \sigma_\alpha\)2.53036
\( \sigma_\iota\)1.11190
\( \sigma_\phi\)3.27697
s(thi_mean_t0_3d):multi1.72458
s(days_in_milk_):primi6.95605
s(days_in_milk_):multi8.30984
s(thi_mean_t0_3d):primi1.22781
Residual3.49403
Table D.70: Jersey: ECM Yield - 1998-2010 - Mixed Model Summary - Smooth Terms and Random Effects.

Model Diagnostics
Figure D.69: Jersey: ECM Yield - 1998-2010 - Diagnostic Plot
Figure D.69: Jersey: ECM Yield - 1998-2010 - Diagnostic Plot
THI Effect and Lactation Curve
Figure D.70: Jersey: ECM Yield - 1998 - 2010 - THI Effect and Lactation Curve

D.12.2.2: Split Period: 2010 - 2023

Model Summary
A. parametric coefficientsEstimateStd. Errort-valuep-value
(Intercept)21.97200.1946112.8937\(< 0.0001\)
parityprimiparous-3.29460.0213-154.9018\(< 0.0001\)
year20120.25400.22591.12420.2609
year20130.21180.26090.81180.4169
year20140.88910.25363.50610.0005
year20150.96430.25283.81380.0001
year20161.29410.23895.4180\(< 0.0001\)
year20171.64230.24636.6682\(< 0.0001\)
year20182.01430.23478.5841\(< 0.0001\)
year20192.42660.227310.6763\(< 0.0001\)
year20202.74120.247611.0717\(< 0.0001\)
year20212.77950.246811.2643\(< 0.0001\)
year20222.52020.248610.1379\(< 0.0001\)
year20232.73490.221312.3600\(< 0.0001\)

B. smooth termsedfRef.dfF-valuep-value
s(thi_mean_t0_3d):paritymultiparous7.81837.8183101.7990\(< 0.0001\)
s(thi_mean_t0_3d):parityprimiparous5.97485.9748101.4406\(< 0.0001\)
s(days_in_milk_t):paritymultiparous13.444813.444825136.3559\(< 0.0001\)
s(days_in_milk_t):parityprimiparous12.621212.62122246.7077\(< 0.0001\)
Table D.71: Jersey: ECM Yield - 2011-2023 - GAMM model summary without random effect terms.

Smooth Term Fixed EffectEst.SEzp
s(thi_mean_t0_3d):multiFx1-0.6902970.130414-5.29\(< 1e-06\)
s(thi_mean_t0_3d):primiFx1-0.5141060.148913-3.450.0006
s(days_in_milk_):multiFx13.865960.4761768.12\(< 1e-15\)
s(days_in_milk_):primiFx13.433910.6538455.25\(< 1e-06\)

Variance ComponentEstimated \( \sigma \)
\( \sigma_\alpha\)2.60104
\( \sigma_\iota\)1.16946
\( \sigma_\phi\)3.90069
s(thi_mean_t0_3d):multi2.10256
s(days_in_milk_):primi7.40217
s(days_in_milk_):multi8.58295
s(thi_mean_t0_3d):primi1.46353
Residual3.91111
Table D.72: Jersey: ECM Yield - 2011-2023 - Mixed Model Summary - Smooth Terms and Random Effects.

Model Diagnostics
Figure D.71: Jersey: ECM Yield - 2011 - 2023 - Diagnostic Plot
Figure D.71: Jersey: ECM Yield - 2011 - 2023 - Diagnostic Plot
THI Effect and Lactation Curve
Figure D.72: Jersey: ECM Yield - 2011 - 2023 - THI Effect and Lactation Curve