Table 1.

Comparisons of candidate models with different random effect structures by ΔAICc value

Model	Random effects	AICc
Full model	Intercept, temperature, observation	135.3
(a)	Intercept, temperature	106.4
(b)	Intercept, observation	141.8
(c)	Intercept only	137.7
(d)	Intercept, temperature, no correlation	135.1

Model (a) outcompeted the simpler intercepts only model (c) and a random slope (for temperature) model that did not assume a correlation between intercept and slope (d). A model allowing random slopes for observation number (b) was worse than the intercept only model. There was no justification for the most complex model including random slopes for both temperature and observation (full model).