Model selection results from analysis of temporal trends of brood parasitism and productivity (top-ranked models have weights in bold) for Indigo Buntings, Acadian Flycatchers, and Northern Cardinals in Missouri, USA, 1991–2010.

aNumber of parameters. Parasitism rate models include a parameter for estimating covariance structure of the random effect (study site), whereas intensity and productivity models also include a parameter for the residual variance of the random effect. All productivity models except the null also include a term for parasitism status. Models with interactions include all constitutive terms as per [58].bAkaike's Information Criterion.cDifference between the AIC score of current and top-ranked model.dRelative weight of support for the model.