Contrasting alternative hypotheses about rodent cycles by translating them into parameterized models

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Model selection in ecology and evolution. (2004, background): “An increasing number of studies have fit models depicting competing hypotheses to observed time series data; applications include detecting chaotic dynamics in natural populations [19], inferring the mechanism underlying population cycles [20, 21 ], and separating the influence of density-dependent ”
Cyclic dynamics of sympatric lemming populations on Bylot Island, Nunavut, Canada (2008, unknown): “Delayed density dependence (i.e., second order) has been found in many cyclic populations and is often an indication that specialized trophic interactions is a cause of the observed cycles (Stenseth 1999; Turchin and Hanski 2001; Jiang and Shao 2003).”
Climate change and cyclic predator–prey population dynamics in the high Arctic (2009, background): “Small mammal population cycles have been studied for decades and several hypotheses have been proposed to explain the regular cyclicity (Batzli et al., 1992; Turchin & Hanski, 2001).”
Rethinking ecological inference: density dependence in reef fishes (2002, methodology): “Our results provide an example of how different insights can be gained by this approach, in which synthesis is tied directly to models of underlying dynamics, and field data are used to estimate associated parameters instead of focusing only on the detection of processes (see also Turchin & Hanski ”