Table 3 Tests for phylogenetic signals in abundance–distance relationships for birds, freshwater and reef fishes, mammals, and plants

From: Plants with higher dispersal capabilities follow ‘abundant-centre’ distributions but such patterns remain rare in animals

a) Goodness of fit measures for intercept-only models with different values for Pagel’s λ.

Species group

AICλ=0a

AICλ=1a

AICλfita

λfit estimatea

Birds

484.3

2251

484.3

<0.0001

Fishes

−813.4

241.5

−813.4

<0.0001

Mammals

318.5

510.8

318.5

<0.0001

Plants

−664.9

64.2

−683.3

0.177***

b) Test for phylogenetic signals in residuals of models with increasing complexity.

Species group

λgrand meana

λfixeda

λinteractionsa

Birds

<0.0001

<0.0001

<0.0001

Fishes

<0.0001

<0.0001

<0.0001

Mammals

<0.0001

<0.0001

<0.0001

Plants

0.177***

<0.0001

<0.0001

  1. aBold values indicate statistically significant phylogenetic signal effects.
  2. a) shows the Akaike Information Criterion (AIC) values for intercept-only generalised least-squares models (estimated with maximum likelihood) including a phylogenetic correlation structure with Pagel’s λ either set to zero (λ0; no phylogenetic signal), set to one (λ1; full phylogenetic signal) or set to the observed phylogenetic signal for Fisher’s Z values (λfit). b) shows phylogenetic signal statistics (based on Pagel’s λ) and respective p-values for the residuals from weighted linear effects models that either included only the intercept (λgrand mean), the set of significant fixed effects from the most parsimonious models (λfixed, c.f., Fig. 3), or the important interactions and their fixed effects (λinteractions, c.f., Figs. 4 and 5). Data underlying this table are provided in Dryad at https://doi.org/10.5061/dryad.zgmsbccj2.
  3. *** p < 0.001.