Table 3 in Assessing grass carp (Ctenopharyngodon idella) occupancy and detection probability within Lake Erie from environmental DNA

Table 3. Candidate set of hierarchical occupancy models used to estimate probability of grass carp eDNA occurrence among sites (ψ), the conditional probability of grass carp eDNA occurrence at a sampling locality within a site given that grass carp were present at the site (Θ), and the conditional probability of eDNA detection on replicate filters collected at a sampling locality given that the species is present at the sampling locality (p) from three sites in western Lake Erie sampled in 2018 and 2019. Covariates included location (site), time (Month) and probe type (GCTM10, GCTM22, GCTM32). Model comparison was evaluated with the Widely Applicable Information Criterion (WAIC).
ModelWAICΔ WAICLack of fitPredicted Varianceψ(Site)Θ(Site)p(.)309.44-298.7018.63ψ(.)Θ(Site)p(.)309.500.06298.9910.73ψ(.)Θ(Month)p(.)317.618.18299.0518.56ψ(Season)Θ(.)p(.)317.678.24299.0118.65ψ(Month)Θ(.)p(.)317.728.28299.0418.67ψ(Season)Θ(Season)p(.)317.848.40299.0418.79ψ(.)Θ(Season)p(.)317.748.31299.0718.66ψ(Site)Θ(.)p(.)317.948.51299.0418.90ψ(.)Θ(.)p(.)325.0015.57305.5020.21ψ(Season)Θ(Site)p(.)325.4115.98305.4919.91ψ(Site + Season)Θ(.)p(.)325.5916.16305.4420.15ψ(Site)Θ(Season)p(.)325.7216.29305.4820.23ψ(Site + Season)Θ(Site + Season)p(.)325.9216.49305.4920.43ψ(.)Θ(Site + Season)p(.)326.3716.94305.5220.84ψ(Site)Θ(Month)p(.)329.5720.14308.6520.92ψ(Month)Θ(Month)p(.)330.1420.71308.6621.84ψ(Site + Season)Θ(Site)p(Probe)377.6368.20276.90100.72ψ(Site + Season)Θ(.)p(Probe)378.3568.92277.00101.34ψ(Site + Season)Θ(Site + Season)p(Probe)378.4268.99277.00101.41ψ(Site + Season)Θ(Season)p(Probe)378.5569.12277.09101.46ψ(Season)Θ(Site + Season)p(Probe)379.4169.98277.28102.10ψ(Site)Θ(Site + Season)p(Probe)379.6270.19277.40102.21ψ(.)Θ(Site + Season)p(Probe)379.8870.45277.31102.57ψ(Site + Month)Θ(.)p(.)383.5674.13282.86100.69ψ(Site + Month)Θ(Site + Month)p(.)385.4776.04283.38102.09ψ(Site + Month)Θ(Site + Month)p(Probe)386.9577.52282.90104.05ψ(.)Θ(Site + Month)p(.)396.4487.01292.14104.29ψ(.)Θ(.)p(Probe)396.4587.01292.14104.29