D.11 Milk Yield

D.11 Jersey: Milk Yield

A. parametric coefficients	Estimate	Std. Error	t-value	p-value
(Intercept)	13.7621	0.7123	19.3200	\(< 0.0001\)
parityprimiparous	-2.0196	0.0125	-162.2099	\(< 0.0001\)
year1999	-0.5788	0.7821	-0.7401	0.4592
year2000	0.1706	0.7908	0.2158	0.8292
year2001	0.6872	0.7611	0.9029	0.3666
year2002	1.1345	0.7621	1.4886	0.1366
year2003	1.6274	0.7688	2.1169	0.0343
year2004	2.1381	0.7407	2.8868	0.0039
year2005	2.3294	0.7283	3.1986	0.0014
year2006	2.6162	0.7276	3.5957	0.0003
year2007	2.4384	0.7239	3.3683	0.0008
year2008	2.6780	0.7231	3.7037	0.0002
year2009	2.9302	0.7281	4.0244	\(< 0.0001\)
year2010	3.1502	0.7338	4.2930	\(< 0.0001\)
year2011	3.3587	0.7275	4.6169	\(< 0.0001\)
year2012	3.6206	0.7210	5.0218	\(< 0.0001\)
year2013	3.6943	0.7185	5.1417	\(< 0.0001\)
year2014	4.3000	0.7222	5.9540	\(< 0.0001\)
year2015	4.4102	0.7209	6.1173	\(< 0.0001\)
year2016	4.6309	0.7199	6.4324	\(< 0.0001\)
year2017	5.0141	0.7237	6.9289	\(< 0.0001\)
year2018	5.3353	0.7225	7.3848	\(< 0.0001\)
year2019	5.6806	0.7183	7.9088	\(< 0.0001\)
year2020	5.9019	0.7223	8.1711	\(< 0.0001\)
year2021	5.9578	0.7225	8.2465	\(< 0.0001\)
year2022	5.9243	0.7222	8.2033	\(< 0.0001\)
year2023	6.0294	0.7156	8.4255	\(< 0.0001\)

B. smooth terms	edf	Ref.df	F-value	p-value
s(thi_mean_t0_3d):paritymultiparous	8.0636	8.0636	1133.7258	\(< 0.0001\)
s(thi_mean_t0_3d):parityprimiparous	8.5711	8.5711	44.5719	\(< 0.0001\)
s(days_in_milk_t):paritymultiparous	14.5547	14.5547	57761.6129	\(< 0.0001\)
s(days_in_milk_t):parityprimiparous	13.8436	13.8436	9080.5596	\(< 0.0001\)

Table D.61: Jersey: Milk Yield - 1998-2023 - GAMM model summary without random effect terms.

Smooth Term Fixed Effect	Est.	SE	z	p
s(thi_mean_t0_3d):multiFx1	0.3076	0.0866	3.55	\(< 0.0004\)
s(thi_mean_t0_3d):primiFx1	0.1474	0.1459	1.01	0.3124
s(days_in_milk_):multiFx1	4.9106	0.3978	12.34	\(< 1e-34\)
s(days_in_milk_):primiFx1	4.1249	0.5323	7.75	\(< 1e-14\)

Table D.62: Jersey: Milk Yield - 1998-2023 - Mixed Model Summary - Smooth Terms and Random Effects.

Figure D.62: Jersey: Milk Yield - 1998 - 2023 - THI Effect and Lactation Curve

A. parametric coefficients	Estimate	Std. Error	t-value	p-value
(Intercept)	13.8464	0.6158	22.4846	\(< 0.0001\)
parityprimiparous	-1.5962	0.0195	-81.7385	\(< 0.0001\)
year1999	-0.4670	0.6855	-0.6812	0.4958
year2000	0.2987	0.6751	0.4424	0.6582
year2001	0.9551	0.6524	1.4639	0.1432
year2002	1.5417	0.6531	2.3604	0.0183
year2003	2.0455	0.6455	3.1688	0.0015
year2004	2.6115	0.6385	4.0902	\(< 0.0001\)
year2005	2.8675	0.6331	4.5293	\(< 0.0001\)
year2006	3.2272	0.6297	5.1248	\(< 0.0001\)
year2007	3.1239	0.6291	4.9658	\(< 0.0001\)
year2008	3.4796	0.6295	5.5276	\(< 0.0001\)
year2009	3.8885	0.6287	6.1845	\(< 0.0001\)
year2010	4.2474	0.6261	6.7842	\(< 0.0001\)

B. smooth terms	edf	Ref.df	F-value	p-value
s(thi_mean_t0_3d):paritymultiparous	7.4687	7.4687	367.5611	\(< 0.0001\)
s(thi_mean_t0_3d):parityprimiparous	5.9291	5.9291	31.4722	\(< 0.0001\)
s(days_in_milk_t):paritymultiparous	13.9600	13.9600	17839.8816	\(< 0.0001\)
s(days_in_milk_t):parityprimiparous	12.8822	12.8822	3856.3426	\(< 0.0001\)

Table D.63: Jersey: Milk Yield - 1998-2010 - GAMM model summary without random effect terms.

Smooth Term Fixed Effect	Est.	SE	z	p
s(thi_mean_t0_3d):multiFx1	0.3833	0.1433	2.68	0.0075
s(thi_mean_t0_3d):primiFx1	0.0868	0.1631	0.53	0.5943
s(days_in_milk_):multiFx1	4.2188	0.6749	6.25	\(< 1e-09\)
s(days_in_milk_):primiFx1	3.1564	0.7455	4.23	\(< 1e-04\)

Table D.64: Jersey: Milk Yield - 1998-2010 - Mixed Model Summary - Smooth Terms and Random Effects.

Figure D.64: Jersey: Milk Yield - 1998 - 2010 - THI Effect and Lactation Curve

A. parametric coefficients	Estimate	Std. Error	t-value	p-value
(Intercept)	16.9374	0.1584	106.9310	\(< 0.0001\)
parityprimiparous	-2.0885	0.0163	-128.1973	\(< 0.0001\)
year2012	0.2060	0.1796	1.1471	0.2513
year2013	0.2842	0.2108	1.3481	0.1776
year2014	0.8749	0.2054	4.2601	\(< 0.0001\)
year2015	0.9939	0.2045	4.8606	\(< 0.0001\)
year2016	1.2244	0.1932	6.3379	\(< 0.0001\)
year2017	1.6126	0.1992	8.0952	\(< 0.0001\)
year2018	1.9356	0.1895	10.2118	\(< 0.0001\)
year2019	2.2870	0.1840	12.4266	\(< 0.0001\)
year2020	2.5084	0.2001	12.5361	\(< 0.0001\)
year2021	2.5636	0.1994	12.8587	\(< 0.0001\)
year2022	2.5237	0.2008	12.5669	\(< 0.0001\)
year2023	2.6125	0.1791	14.5866	\(< 0.0001\)

B. smooth terms	edf	Ref.df	F-value	p-value
s(thi_mean_t0_3d):paritymultiparous	8.1013	8.1013	856.5674	\(< 0.0001\)
s(thi_mean_t0_3d):parityprimiparous	5.9065	5.9065	53.5215	\(< 0.0001\)
s(days_in_milk_t):paritymultiparous	14.5129	14.5129	42118.2414	\(< 0.0001\)
s(days_in_milk_t):parityprimiparous	13.6452	13.6452	5835.7977	\(< 0.0001\)

Table D.65: Jersey: 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	-0.3112	0.1041	-2.99	0.0028
s(thi_mean_t0_3d):primiFx1	-0.1658	0.1121	-1.48	0.1391
s(days_in_milk_):multiFx1	4.7696	0.4524	10.54	\(< 1e-25\)
s(days_in_milk_):primiFx1	3.9223	0.6090	6.44	\(< 1e-09\)

Table D.66: Jersey: Milk Yield - 2011-2023 - Mixed Model Summary - Smooth Terms and Random Effects.

Figure D.66: Jersey: Milk Yield - 2010 - 2023 - THI Effect and Lactation Curve