Table 1. Comparative performance of models.

Model	Params		AIC	Links	Entries
PNM	87	−105	385	0.797	0.906
n, c free; r = f(c)	60	−141	402	0.734	0.883
n, c free; r = f(n)	60	−151	421	0.734	0.880
n, r free, c = f(n)	60	−174	469	0.754	0.875
n free, c = f(n), r = g(n)	33	−205	475	0.712	0.855
ANM	58	−209	535	0.681	0.845
MPNM	32	−214	493

Params is the number of model parameters; is maximum log-likelihood; Links is the fraction of links reproduced by the model; Entries is the expected fraction of connection matrix entries reproduced by the model. PNM is probabilistic niche model with n_i, c_i and r_i all free parameters. ANM is the allometric niche model. MPNM is the minimum potential niche model [18]. Other models are variants of the PNM with one or two parameters a linear function of another parameter.