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Data S1. Code and data used for all analyses and figures in this paper.

Data S2. Choice of underlying model for threshold approach. Warton, D.I. & F.K.C. Hui. (2010) The arcsine is asinine: the analysis of proportions in ecology. Ecology, 92, 3–10.

Ver Hoef, J.M. & Boveng, P.L. (2007) Quasi-poisson vs. negative binomial regression: how should we model overdispersed count data? Ecology, 88, 2766–2772.

O'Hara, R.B. & Kotze, D.J. (2010) Do not log-transform count data. Methods in Ecology and Evolution, 1, 118–122.

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