Table 1.
Overview of the statistical models employed
| Hypotheses | Response | Fixed effects | Random effects | Model type (function) | Error distribution | Results shown in |
|---|---|---|---|---|---|---|
| 1, 4 | Species richness per plot | Year | Block/transect/plot | GLMM (glmmPQL) | Poisson | Fig. 2(a); Supporting Information Tables S4, S5 |
| 1 | Species richness per plot and AR | Year × AR | Block/transect/plot | GLMM (glmmPQL) | Negative binomial | Fig. S3(b); Tables S6, S7 |
| 1, 4 | Number of colonisation or disappearance events per plot | Decade × Type (Colon. or Disapp.) | Block/transect/plot | GLMM (glmer) | Negative binomial | Fig. 2(b); Tables S8, S9 |
| 1 | Colonisation success per AR | Decade × AR | Block/transect/plot, Species | GLMM (glmmadmb) | Binomial | Fig. S4(a); Tables S10, S11 |
| 1 | Disappearance success per AR | Decade × AR | Block/transect/plot, Species | GLMM (glmmadmb) | Binomial | Fig. S4(b); Tables S10, S11 |
| 2, 4 | Cover sum per plot | Year | Block/transect/plot | LMM (lmer) | Gaussian | Fig. 3; Tables S12, S13 |
| 2 | Cover sum per species and AR | Year × AR | Species | LMM (lmer) | Gaussian | Fig. S5(b); Tables S14, S15 |
| 3, 4 | Thermic indicator per plot | Year | Block/transect/plot | LMM (lmer) | Gaussian | Fig. 4(a); Tables S16–S18 |
| 3, 4 | Soil moisture indicator per plot | Year | Block/transect/plot | LMM (lmer) | Gaussian | Fig. 4(b); Tables S19–S21 |
| 4 | Topographic differences among blocks | Block | Transect | LMM (lmer) | Gaussian | Figs S7, S8; Table S22 |
Given are the hypotheses addressed, model type (GLMM, generalised linear mixed‐effects model; LMM, linear mixed‐effects model) and corresponding R function used, error distribution, response variables, fixed and random effects, and figures and tables in which the results are shown. AR, altitudinal rank.