D.3 Milk Yield

D.3 Swiss Fleckvieh: Milk Yield

A. parametric coefficients	Estimate	Std. Error	t-value	p-value
(Intercept)	17.0242	1.8212	9.3480	\(< 0.0001\)
parityprimiparous	-2.9419	0.0129	-228.3771	\(< 0.0001\)
year1985	0.3712	1.8309	0.2028	0.8393
year1986	0.2268	1.8300	0.1240	0.9013
year1987	0.1271	1.8312	0.0694	0.9447
year1988	-0.1437	1.8381	-0.0782	0.9377
year1989	0.6052	1.8388	0.3291	0.7421
year1990	0.9507	1.8377	0.5173	0.6049
year1991	1.1556	1.8380	0.6287	0.5295
year1992	1.3538	1.8344	0.7380	0.4605
year1993	1.3283	1.8344	0.7241	0.4690
year1994	1.3716	1.8349	0.7475	0.4548
year1995	1.5775	1.8387	0.8579	0.3909
year1996	1.7338	1.8380	0.9433	0.3455
year1997	2.1730	1.8387	1.1818	0.2373
year1998	3.0236	1.8388	1.6443	0.1001
year1999	3.1711	1.8415	1.7220	0.0851
year2000	3.2774	1.8430	1.7783	0.0754
year2001	3.5746	1.8569	1.9250	0.0542
year2002	3.8156	1.8496	2.0629	0.0391
year2003	4.3135	1.8487	2.3332	0.0196
year2004	4.7284	1.8491	2.5572	0.0106
year2005	4.9766	1.8513	2.6881	0.0072
year2006	4.9384	1.8503	2.6690	0.0076
year2007	4.6488	1.8505	2.5122	0.0120
year2008	4.8172	1.8494	2.6048	0.0092
year2009	5.0181	1.8479	2.7156	0.0066
year2010	5.4518	1.8460	2.9533	0.0031
year2011	5.4583	1.8432	2.9613	0.0031
year2012	5.2552	1.8426	2.8520	0.0043
year2013	5.1818	1.8422	2.8128	0.0049
year2014	5.7797	1.8426	3.1367	0.0017
year2015	6.1539	1.8427	3.3396	0.0008
year2016	6.2885	1.8426	3.4128	0.0006
year2017	6.5053	1.8430	3.5297	0.0004
year2018	7.1383	1.8434	3.8723	0.0001
year2019	7.1780	1.8443	3.8920	0.0001
year2020	7.5655	1.8485	4.0929	\(< 0.0001\)
year2021	7.6204	1.8511	4.1166	\(< 0.0001\)
year2022	7.4968	1.8561	4.0390	0.0001
year2023	7.9525	1.8595	4.2767	\(< 0.0001\)

B. smooth terms	edf	Ref.df	F-value	p-value
s(thi_mean_t0_3d):paritymultiparous	8.5313	8.5313	818.9814	\(< 0.0001\)
s(thi_mean_t0_3d):parityprimiparous	6.5854	6.5854	43.0074	\(< 0.0001\)
s(days_in_milk_t):paritymultiparous	14.3606	14.3606	132550.4282	\(< 0.0001\)
s(days_in_milk_t):parityprimiparous	13.2311	13.2311	13978.4516	\(< 0.0001\)

Table D.13: Swiss Fleckvieh: Milk Yield - 1984-2023 - GAMM model summary without random effect terms.

Smooth Term Fixed Effect	Est.	SE	z	p
s(thi_mean_t0_3d):multiFx1	0.2331	0.0891	2.62	0.0089
s(thi_mean_t0_3d):primiFx1	0.3444	0.1052	3.27	0.0011
s(days_in_milk_):multiFx1	1.7043	0.5298	3.22	0.0013
s(days_in_milk_):primiFx1	0.5335	0.5824	0.92	0.3596

Table D.14: Swiss Fleckvieh: Milk Yield - 1984-2023 - Mixed Model Summary - Smooth Terms and Random Effects.

Figure D.14: Swiss Fleckvieh: Milk Yield - 1984 - 2023 - THI Effect and Lactation Curve

A. parametric coefficients	Estimate	Std. Error	t-value	p-value
(Intercept)	16.9035	0.3658	46.2066	\(< 0.0001\)
parityprimiparous	-2.7346	0.0138	-198.6779	\(< 0.0001\)
year1985	0.4515	0.2804	1.6103	0.1073
year1986	0.3178	0.3341	0.9510	0.3416
year1987	0.2380	0.3534	0.6736	0.5006
year1988	0.0232	0.3872	0.0600	0.9522
year1989	0.7996	0.3910	2.0451	0.0408
year1990	1.1652	0.3833	3.0397	0.0024
year1991	1.4053	0.3711	3.7868	0.0002
year1992	1.6217	0.3462	4.6846	\(< 0.0001\)
year1993	1.6209	0.3497	4.6347	\(< 0.0001\)
year1994	1.6641	0.3651	4.5578	\(< 0.0001\)
year1995	1.9199	0.4094	4.6900	\(< 0.0001\)
year1996	2.1351	0.4138	5.1595	\(< 0.0001\)
year1997	2.5677	0.4256	6.0334	\(< 0.0001\)
year1998	3.4175	0.4545	7.5191	\(< 0.0001\)
year1999	3.5626	0.4510	7.9000	\(< 0.0001\)
year2000	3.7240	0.4591	8.1121	\(< 0.0001\)
year2001	4.0732	0.4673	8.7165	\(< 0.0001\)
year2002	4.3548	0.4508	9.6605	\(< 0.0001\)
year2003	4.8981	0.4394	11.1471	\(< 0.0001\)
year2004	5.4440	0.4520	12.0437	\(< 0.0001\)
year2005	5.7965	0.4626	12.5311	\(< 0.0001\)
year2006	5.8531	0.4836	12.1040	\(< 0.0001\)
year2007	5.6656	0.4880	11.6103	\(< 0.0001\)
year2008	5.9522	0.4987	11.9352	\(< 0.0001\)
year2009	6.4429	0.5211	12.3638	\(< 0.0001\)
year2010	7.0430	0.5707	12.3418	\(< 0.0001\)

B. smooth terms	edf	Ref.df	F-value	p-value
s(thi_mean_t0_3d):paritymultiparous	8.8565	8.8565	828.8023	\(< 0.0001\)
s(thi_mean_t0_3d):parityprimiparous	6.8104	6.8104	36.0865	\(< 0.0001\)
s(days_in_milk_t):paritymultiparous	14.2457	14.2457	139197.9545	\(< 0.0001\)
s(days_in_milk_t):parityprimiparous	13.2024	13.2024	14397.4338	\(< 0.0001\)

Table D.15: Swiss Fleckvieh: Milk Yield - 1984-2010 - GAMM model summary without random effect terms.

Smooth Term Fixed Effect	Est.	SE	z	p
s(thi_mean_t0_3d):multiFx1	0.2333	0.0852	2.74	0.0062
s(thi_mean_t0_3d):primiFx1	0.2388	0.0987	2.42	0.0155
s(days_in_milk_):multiFx1	1.3398	0.5299	2.53	0.0114
s(days_in_milk_):primiFx1	0.3073	0.5533	0.56	0.5786

Table D.16: Swiss Fleckvieh: Milk Yield - 1984-2010 - Mixed Model Summary - Smooth Terms and Random Effects.

Figure D.16: Swiss Fleckvieh: Milk Yield - 1984 - 2010 - THI Effect and Lactation Curve

A. parametric coefficients	Estimate	Std. Error	t-value	p-value
(Intercept)	21.7530	0.2595	83.8176	\(< 0.0001\)
parityprimiparous	-3.3595	0.0149	-224.7296	\(< 0.0001\)
year2012	-0.1631	0.3056	-0.5337	0.5936
year2013	-0.3339	0.2926	-1.1414	0.2537
year2014	0.2384	0.2906	0.8203	0.4121
year2015	0.4961	0.2957	1.6777	0.0934
year2016	0.8626	0.2984	2.8910	0.0038
year2017	1.2313	0.2939	4.1894	\(< 0.0001\)
year2018	1.6165	0.2967	5.4488	\(< 0.0001\)
year2019	1.7695	0.2943	6.0121	\(< 0.0001\)
year2020	2.0975	0.3029	6.9248	\(< 0.0001\)
year2021	2.3398	0.2847	8.2183	\(< 0.0001\)
year2022	2.1729	0.3008	7.2243	\(< 0.0001\)
year2023	2.3855	0.2954	8.0764	\(< 0.0001\)

B. smooth terms	edf	Ref.df	F-value	p-value
s(thi_mean_t0_3d):paritymultiparous	8.1653	8.1653	699.8806	\(< 0.0001\)
s(thi_mean_t0_3d):parityprimiparous	6.5967	6.5967	37.1793	\(< 0.0001\)
s(days_in_milk_t):paritymultiparous	14.5202	14.5202	113726.1561	\(< 0.0001\)
s(days_in_milk_t):parityprimiparous	13.5621	13.5621	11375.9787	\(< 0.0001\)

Table D.17: Swiss Fleckvieh: Milk Yield - 2011-2023 - GAMM model summary without random effect terms.

Smooth Term Fixed Effect	Est.	SE	z	p
s(thi_mean_t0_3d):multiFx1	0.1716	0.0901	1.91	0.0568
s(thi_mean_t0_3d):primiFx1	-0.2638	0.1058	-2.49	0.0126
s(days_in_milk_):multiFx1	3.0173	0.4977	6.06	\(< 0.00000001\)
s(days_in_milk_):primiFx1	3.2102	0.6274	5.12	\(< 0.000001\)

Table D.18: Swiss Fleckvieh: Milk Yield - 2011-2023 - Mixed Model Summary - Smooth Terms and Random Effects.

Figure D.18: Swiss Fleckvieh: Milk Yield - 2011 - 2023 - THI Effect and Lactation Curve