Table 3. Results of a Bayesian mixed-effects Beta regression model testing for predictors of decline in range (proportional decline) and interactions between region ‘NS’ (presence in northern and tropical Australia versus southern and temperate) and other explanatory variables, using 61 species of rodents.

Predictor	Mean	SE	95% HPDI
Intercept*	-1.9278	0.0073	(-3.0295, -0.8474)
NS*	1.4763	0.0043	(0.5833, 2.3842)
log Range	-0.0844	0.0033	(-0.8174, 0.6631)
log Female mass	0.2257	0.0022	(-0.3491, 0.7975)
log Rainfall	0.1587	0.004	(-0.7052, 1.0541)
Habitat openness	-0.4014	0.003	(-1.149, 0.3441)
log Litter	0.0879	0.0038	(-0.5523, 0.7118)
NS:log Range	-0.5033	0.004	(-1.4359, 0.4206)
NS:log Female mass	0.0143	0.0026	(-0.7336, 0.7713)
NS:log Rainfall	-0.3819	0.0062	(-1.6786, 0.9104)
NS:Habitat openness	-0.2994	0.0047	(-1.4644, 0.8712)
NS:log Litter	-0.1805	0.003	(-0.9342, 0.5689)
γ *	0.5216	0.0007	(0.3593, 0.7437)
λ *	0.7919	0.0024	(0.2369, 1.0053)

95% HPDI is the 95% Highest Posterior Density Interval, and * indicates notable effects (those in which the 95% HPD Interval does not include zero). Gamma (γ) shows the dispersion of the beta distribution, and lambda (λ) designates Pagel’s lambda, a measure of phylogenetic signal.