. 2023 Dec 14;14:8309. doi: 10.1038/s41467-023-43478-7

Table 1.

Statistical output of multiple linear regression models for each assay context in the study

Species	Assay context	n	Coefficient	Estimate	SE	t value	p value	r²
Brown trout	SW Iceland__AC	79	$\ln (I_{0})$	−0.551	0.228	−2.413	0.018	0.51
			$b$	0.628	0.079	7.942	<0.001
			$E_{A}$	0.361	0.080	4.509	<0.001
Brown trout	SW Iceland__CH	75	$\ln (I_{0})$	0.124	0.253	0.492	0.624	0.51
			$b$	0.591	0.067	8.842	<0.001
			$E_{A}$	0.054	0.200	0.272	0.786
Brown trout	UK__CH	157	$\ln (I_{0})$	−0.037	0.341	−0.109	0.913	0.09
			$b$	0.668	0.165	4.046	<0.001
			$E_{A}$	−0.443	0.477	−0.929	0.354
Brown trout	Spain__CH	79	$\ln (I_{0})$	0.094	0.227	0.414	0.680	0.40
			$b$	0.567	0.078	7.261	<0.001
			$E_{A}$	0.150	0.357	0.421	0.675
Atlantic salmon	Spain__CH	19	$\ln (I_{0})$	0.337	0.561	0.600	0.557	0.26
			$b$	0.511	0.184	2.772	0.014
			$E_{A}$	−0.015	0.895	−0.017	0.987
Atlantic salmon	NE Iceland__CH	34	$\ln (I_{0})$	−2.612	0.816	−3.200	0.003	0.41
			$b$	1.644	0.340	4.839	<0.001
			$E_{A}$	0.062	0.432	0.143	0.887

The estimated coefficients for the intercept ( $I_{0}$ ), allometric exponent ( $b$ ), and activation energy ( $E_{A}$ ) are shown with associated standard errors (SE), t values, and p values. Results were obtained from a linear model describing the relationship between routine metabolic rate [ln( $I$ ) in mg O₂ h⁻¹] as the response variable and fish body mass [ln( $M$ ) in mg] and standardised Arrhenius temperature ( $T_{A}$ in K) as explanatory variables. The r² value and number of individual fish included for each model (n) are also provided.