D.4 Swiss Fleckvieh: ECM Yield

D.4.1: Full Period: 1984-2023

Model Summary

A. parametric coefficientsEstimateStd. Errort-valuep-value
(Intercept)18.94282.03689.3002\(< 0.0001\)
parityprimiparous-3.36890.0142-236.8632\(< 0.0001\)
year19850.43712.04740.21350.8309
year19860.31022.04640.15160.8795
year19870.07162.04780.03490.9721
year1988-0.35842.0554-0.17440.8616
year19890.49602.05650.24120.8094
year19900.91762.05530.44640.6553
year19911.14552.05560.55720.5774
year19921.45932.05170.71130.4769
year19931.38292.05170.67400.5003
year19941.21772.05220.59330.5530
year19951.54332.05640.75050.4530
year19961.77612.05570.86400.3876
year19972.27862.05641.10810.2678
year19983.18802.05661.55020.1211
year19993.13312.05961.52120.1282
year20003.00812.06121.45940.1445
year20013.38402.07621.62990.1031
year20023.44452.06841.66530.0959
year20033.97522.06751.92270.0545
year20044.46352.06792.15850.0309
year20054.85372.07042.34440.0191
year20064.76862.06922.30460.0212
year20074.41912.06942.13540.0327
year20084.65892.06822.25260.0243
year20094.84242.06652.34330.0191
year20105.33582.06442.58470.0097
year20115.28522.06142.56390.0104
year20125.24682.06082.54600.0109
year20135.09112.06032.47110.0135
year20145.65262.06072.74300.0061
year20156.10392.06092.96180.0031
year20166.38612.06083.09890.0019
year20176.44112.06133.12490.0018
year20187.25932.06173.52100.0004
year20197.33932.06273.55810.0004
year20207.85162.06733.7979\(< 0.0001\)
year20218.02522.07033.8763\(< 0.0001\)
year20227.77222.07603.7437\(< 0.0002\)
year20238.39102.07984.0346\(< 0.0001\)

B. smooth termsedfRef.dfF-valuep-value
s(thi_mean_t0_3d):paritymultiparous8.50418.5041234.1182\(< 0.0001\)
s(thi_mean_t0_3d):parityprimiparous6.41776.4177140.2851\(< 0.0001\)
s(days_in_milk_t):paritymultiparous14.144214.1442103387.1413\(< 0.0001\)
s(days_in_milk_t):parityprimiparous12.353412.35349446.9365\(< 0.0001\)
Table D.19: Swiss Fleckvieh: ECM Yield - 1984-2023 - GAMM model summary without random effect terms.

Smooth Term Fixed EffectEst.SEzp
s(thi_mean_t0_3d):multiFx10.43790.09804.47\(< 1e-05\)
s(thi_mean_t0_3d):primiFx10.50910.11234.53\(< 1e-05\)
s(days_in_milk_):multiFx10.15490.54260.290.7752
s(days_in_milk_):primiFx1-0.41830.5123-0.820.4142

Variance ComponentEstimated \( \sigma \)
\( \sigma_\alpha \)2.7441
\( \sigma_\iota \)0.9269
\( \sigma_\phi \)3.2102
s(thi_mean_t0_3d):multi2.3885
s(days_in_milk_):primi4.1628
s(days_in_milk_):multi7.4804
s(thi_mean_t0_3d):primi1.1828
Residual3.4443
Table D.20: Swiss Fleckvieh: ECM Yield - 1984-2023 - Mixed Model Summary - Smooth Terms and Random Effects.

Model Diagnostics

Figure D.19: Swiss Fleckvieh: ECM Yield - 1984-2023 - Diagnostic Plot
Figure D.19: Swiss Fleckvieh: ECM Yield - 1984-2023 - Diagnostic Plot

THI Effect and Lactation Curve

Figure D.20: Swiss Fleckvieh: ECM Yield - 1984 - 2023 - THI Effect and Lactation Curve

D.4.2: Split Period: Until 2010 - After 2010

D.4.2.1: Split Period: 1984 - 2010

Model Summary
A. parametric coefficientsEstimateStd. Errort-valuep-value
(Intercept)18.65740.350453.2489\(< 0.0001\)
parityprimiparous-3.13870.0130-242.3247\(< 0.0001\)
year19850.59240.19772.99630.0027
year19860.53140.29441.80510.0711
year19870.26460.32870.80490.4209
year1988-0.08890.3543-0.25100.8018
year19890.79360.38102.08270.0373
year19901.29090.38963.31390.0009
year19911.53490.39283.9080\(< 0.0001\)
year19921.86970.39914.6853\(< 0.0001\)
year19931.79700.37574.7832\(< 0.0001\)
year19941.63460.38314.2672\(< 0.0001\)
year19951.98640.36165.4932\(< 0.0001\)
year19962.29060.35996.3642\(< 0.0001\)
year19972.82270.35467.9605\(< 0.0001\)
year19983.71640.44628.3282\(< 0.0001\)
year19993.71340.42268.7877\(< 0.0001\)
year20003.68810.42718.6353\(< 0.0001\)
year20014.09090.43339.4403\(< 0.0001\)
year20024.19250.43339.6762\(< 0.0001\)
year20034.71660.441210.6903\(< 0.0001\)
year20045.33420.444312.0070\(< 0.0001\)
year20055.83540.479712.1651\(< 0.0001\)
year20065.84360.479512.1875\(< 0.0001\)
year20075.59320.498511.2199\(< 0.0001\)
year20085.91580.504611.7229\(< 0.0001\)
year20096.44990.528112.2140\(< 0.0001\)
year20107.10640.75539.4092\(< 0.0001\)

B. smooth termsedfRef.dfF-valuep-value
s(thi_mean_t0_3d):paritymultiparous8.69948.6994314.1151\(< 0.0001\)
s(thi_mean_t0_3d):parityprimiparous7.14247.1424143.5337\(< 0.0001\)
s(days_in_milk_t):paritymultiparous13.508713.5087161236.6570\(< 0.0001\)
s(days_in_milk_t):parityprimiparous12.197512.197514112.6321\(< 0.0001\)
Table D.21: Swiss Fleckvieh: ECM Yield - 1984-2010 - GAMM model summary without random effect terms.

Smooth Term Fixed EffectEst.SEzp
s(thi_mean_t0_3d):multiFx10.43420.08665.01\(< 1e-06\)
s(thi_mean_t0_3d):primiFx10.40460.10673.790.0002
s(days_in_milk_):multiFx1-0.59720.4296-1.390.1645
s(days_in_milk_):primiFx1-0.51880.4339-1.200.2319

Variance ComponentEstimated \( \sigma \)
\( \sigma_\alpha \)2.6516
\( \sigma_\iota \)0.9288
\( \sigma_\phi \)2.9589
s(thi_mean_t0_3d):multi2.5013
s(days_in_milk_):primi3.8774
s(days_in_milk_):multi7.1478
s(thi_mean_t0_3d):primi1.2666
Residual3.2839
Table D.22: Swiss Fleckvieh: ECM Yield - 1984-2010 - Mixed Model Summary - Smooth Terms and Random Effects.

Model Diagnostics
Figure D.21: Swiss Fleckvieh: ECM Yield - 1984-2010 - Diagnostic Plot
Figure D.21: Swiss Fleckvieh: ECM Yield - 1984-2010 - Diagnostic Plot
THI Effect and Lactation Curve
Figure D.22: Swiss Fleckvieh: ECM Yield - 1984 - 2010 - THI Effect and Lactation Curve

D.4.2.2: Split Period: 2010 - 2023

Model Summary
A. parametric coefficientsEstimateStd. Errort-valuep-value
(Intercept)23.91540.293181.5860\(< 0.0001\)
parityprimiparous-3.90040.0167-232.8837\(< 0.0001\)
year2012-0.06900.3447-0.20020.8413
year2013-0.36230.3299-1.09810.2722
year20140.18860.32760.57560.5649
year20150.51040.33291.53330.1252
year20160.96540.33572.87550.0040
year20171.25750.33073.8024\(< 0.0001\)
year20181.79240.33425.3623\(< 0.0001\)
year20191.91370.33155.7726\(< 0.0001\)
year20202.34200.34126.8648\(< 0.0001\)
year20212.62230.32108.1692\(< 0.0001\)
year20222.35480.33896.9490\(< 0.0001\)
year20232.67950.33238.0634\(< 0.0001\)

B. smooth termsedfRef.dfF-valuep-value
s(thi_mean_t0_3d):paritymultiparous7.93567.9356208.7322\(< 0.0001\)
s(thi_mean_t0_3d):parityprimiparous6.56686.5668165.3686\(< 0.0001\)
s(days_in_milk_t):paritymultiparous13.418413.418485993.6942\(< 0.0001\)
s(days_in_milk_t):parityprimiparous12.390512.39056667.4461\(< 0.0001\)
Table D.23: Swiss Fleckvieh: ECM Yield - 2011-2023 - GAMM model summary without random effect terms.

Smooth Term Fixed EffectEst.SEzp
s(thi_mean_t0_3d):multiFx1-0.08750.0974-0.900.3691
s(thi_mean_t0_3d):primiFx1-0.56610.1180-4.80\(< 1e-05\)
s(days_in_milk_):multiFx1-0.37190.4377-0.850.3955
s(days_in_milk_):primiFx11.72400.54783.150.0017

Variance ComponentEstimated \( \sigma \)
\( \sigma_\alpha \)2.7517
\( \sigma_\iota \)1.1372
\( \sigma_\phi \)3.7572
s(thi_mean_t0_3d):multi1.7293
s(days_in_milk_):primi5.4432
s(days_in_milk_):multi7.1565
s(thi_mean_t0_3d):primi1.4283
Residual3.9215
Table D.24: Swiss Fleckvieh: ECM Yield - 2011-2023 - Mixed Model Summary - Smooth Terms and Random Effects.

Model Diagnostics
Figure D.23: Swiss Fleckvieh: ECM Yield - 2011 - 2023 - Diagnostic Plot
Figure D.23: Swiss Fleckvieh: ECM Yield - 2011 - 2023 - Diagnostic Plot
THI Effect and Lactation Curve
Figure D.24: Swiss Fleckvieh: ECM Yield - 2011 - 2023 - THI Effect and Lactation Curve