Table 2 Model selection results are shown for the Bd prevalence of the 2011 cohort of A. obstetricans tadpoles.

ID	F	T	T²	F:T	F:T²	Random	Df	logLik	AIC	Δ AIC	Weight 1	Weight 2
32	+	+	+	+		p + m + p:m	8	−575.9	1167.9	0.00	0.237	0.24
16		+	+			p + m + p:m	6	−578.0	1168.1	0.16	0.219	0.46
36	+	+	+	+	+	p + m + p:m	9	−575.5	1169.1	1.16	0.132	0.59
24	+	+		+		p + m + p:m	7	−577.6	1169.3	1.36	0.120	0.71
28	+	+	+			p + m + p:m	7	−577.8	1169.7	1.74	0.099	0.81
12		+				p + m + p:m	5	−579.9	1169.8	1.90	0.092	0.90
20	+	+				p + m + p:m	6	−579.7	1171.4	3.47	0.042	0.94
04						p + m + p:m	4	−581.7	1171.4	3.53	0.041	0.98

The Bd prevalence was modelled as a generalized linear mixed effects model with binomial errors. Of the 36 models in the set, only the top 8 models are shown for which the cumulative support (Weight 2) ≥95.0%. Shown for each model are: the model ID (ID), the fixed effects structure (F = fungicide treatment, T = time, T² = quadratic effect of time, F:T = interaction, and F:T²), the random effects structure Random; p = pond identity, m = month identity, p:m = interaction), the model degrees of freedom (Df), the log-likelihood (logLik), the Akaike information criterion (AIC), the difference in the AIC value from the top model (Δ AIC), the model weight (Weight 1), and the cumulative weight (Weight 2). Table S4 shows the results from the full model selection.

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