Table 2 The reasonable candidate models for each trait

From: Maternal-by-environment but not genotype-by-environment interactions in a fish without parental care

Model	log (L)	AIC	Δ AIC	Weight	V _A ± SE	V _M ± SE	V _A × Food ± SE	V _M × Food ± SE	V _B ± SE	V _R ± SE
Female size at maturity
V _A + V _M	−417.145	842.291	0	0.456	0.310 ± 0.124	0.255 ± 0.060			0.056 ± 0.041	0.382 ± 0.066
V _A + V _M + V _M × Food	−416.872	843.745	1.454	0.221	0.321 ± 0.124	0.210 ± 0.078		0.045 ± 0.060	0.056 ± 0.042	0.368 ± 0.067
Model averaged estimates (across all models)					0.290 ± 0.138	0.243 ± 0.075	5.430 × 10⁻⁸ ± 8.791 × 10⁻⁸	0.014 ± 0.031	0.056 ± 0.042	0.377 ± 0.073
Male size at maturity
V _M + V _M × Food	−466.625	941.249	0	0.574		3.813 × 10⁻⁸ ± 2.257 × 10⁻⁹		0.311 ± 0.043	0.019 ± 0.015	0.603 ± 0.036
V _A + V _M + V _M × Food	−466.239	942.478	1.229	0.310	0.060 ± 0.074	4.989 × 10⁻⁷ ± 3.839 × 10⁻⁸		0.284 ± 0.051	0.010 ± 0.018	0.574 ± 0.050
Model averaged estimates (across all models)					0.026 ± 0.050	3.188 × 10⁻⁴ ± 6.618 × 10⁻⁴	2.238 × 10⁻⁴ ± 4.691 × 10⁻⁴	0.299 ± 0.049	0.015 ± 0.017	0.590 ± 0.044
Female age at maturity
V _A + V _M + V _M × Food	−401.233	812.467	0	0.595	0.255 ± 0.112	0.162 ± 0.071		0.137 ± 0.063	0.044 ± 0.037	0.368 ± 0.062
Model averaged estimates (across all models)					0.240 ± 0.119	0.177 ± 0.079	0.003 ± 0.009	0.116 ± 0.074	0.045 ± 0.038	0.373 ± 0.067
Male age at maturity
V _M	−436.383	878.765	0	0.4154		0.257 ± 0.257			0.023 ± 0.016	0.618 ± 0.035
V _M + V _M × Food	−435.892	879.783	1.0181	0.2497		0.215 ± 0.061		0.060 ± 0.061	0.023 ± 0.016	0.602 ± 0.037
Model averaged estimates (across all models)					4.620 × 10⁻⁴ ± 0.010	0.234 ± 0.142	1.299 × 10⁻⁸ ± 2.572 × 10⁻⁸	0.020 ± 0.040	0.023 ± 0.016	0.591 ± 0.044
Relative gonopodium size
V _M	−501.979	1009.958	0	0.378		0.102 ± 0.035			0.012 ± 0.011	0.839 ± 0.045
V _A + V _M + V _A × Food	−500.879	1011.757	1.799	0.154	0.019 ± 0.062	0.082 ± 0.042	0.083 ± 0.071		7.749 × 10⁻⁸ ± 5.965 × 10⁻⁹	0.766 ± 0.059
V _A + V _M	−501.888	1011.776	1.818	0.152	0.037 ± 0.079	0.089 ± 0.045			0.005 ± 0.017	0.820 ± 0.060
V _M + V _M × Food	−501.931	1011.861	1.903	0.146		0.094 ± 0.050		0.017 ± 0.059	0.012 ± 0.011	0.831 ± 0.050
Model averaged estimates (across all models)					0.013 ± 0.043	0.083 ± 0.046	0.013 ± 0.034	0.003 ± 0.015	0.007 ± 0.012	0.750 ± 0.088
Male sperm number
V _M	−215.358	436.716	0	0.323		0.073 ± 0.051			0.085 ± 0.042	0.824 ± 0.068
Null	−216.726	437.452	0.736	0.224					0.099 ± 0.042	0.885 ± 0.062
Model averaged estimates (across all models)					1.247 × 10⁻⁷ ± 2.514 × 10⁻⁷	0.042 ± 0.054	4.051 × 10⁹ ± 1.104 × 10⁻⁸	4.542 × 10⁻⁸ ± 7.846 × 10⁻⁸	0.082 ± 0.044	0.774 ± 0.099
Male sperm velocity
V _A	−179.474	364.947	0	0.127	0.190 ± 0.085				7.034 × 10⁻⁸ ± 9.136 × 10⁻⁹	0.695 ± 0.090
V _A + V _M	−179.458	366.915	1.968	0.115	0.175 ± 0.112	0.014 ± 0.075			7.057 × 10⁻⁸ ± 9.077 × 10⁻⁹	0.697 ± 0.090
Model averaged estimates (across all models)					0.100 ± 0.115	0.014 ±± 0.046	1.389 × 10⁻⁷ ± 1.928 × 10⁻⁷	0.009 ± 0.044	0.008 ± 0.017	0.574 ± 0.172

For each model, the log likelihood (log (L)) is presented. Models shown are the models ranked within two AIC units of the top model in descending order. The difference in AIC value with the model with the lowest AIC value is presented (Δ AIC). Weight = Akaike model weight, relative to all 9 models for each trait (see Methods for definition). V _A additive genetic variance, V _M maternal effects variance, V _Bblock variance, V _R residual variance.

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Table 2 The reasonable candidate models for each trait

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