Science Advances

Supplementary Materials

This PDF file includes:

  • Supplementary Text
  • fig. S1. Time series of uncorrelated white noise.
  • fig. S2. Time series of uncorrelated white noise with a linear temporal trend.
  • fig. S3. Time series of uncorrelated white noise with a one-time perturbation.
  • fig. S4. Time series of random walk.
  • fig. S5. Time series of a random walk with a linear temporal trend.
  • fig. S6. Time series of a random walk with a one-time perturbation.
  • fig. S7. Time series of a regulated autoregressive process.
  • fig. S8. Time series of a regulated autoregressive process with a linear temporal trend.
  • fig. S9. Time series of a regulated autoregressive process with a one-time perturbation.
  • fig. S10. Logic tree for analysis and interpretation of community time series.
  • fig. S11. Benchmark analysis of ADF test.
  • fig. S12. Benchmark analysis of ADF test.
  • fig. S13. Benchmark analysis of ADF test.
  • fig. S14. Statistical tests for effects of latitudinal band (=climate), taxonomic group, and realm on standardized effect sizes (z scores) of species richness and total abundance.
  • table S1. Number of significant (P < 0.05) and nonsignificant test results for assemblage-level regulation of species richness or abundance.
  • table S2. Number of significant (P < 0.05) and nonsignificant test results for assemblage-level regulation of species richness or abundance.
  • table S3. Number of significant (P < 0.05) and nonsignificant test results for assemblage-level regulation of species richness or abundance.
  • table S4. Results of ADF tests for temperature time series.
  • table S5. Correlations of species richness and abundance with air or seawater temperature.
  • table S6. Variance ratio tests for patterns of compensatory fluctuations in total abundance.
  • table S7. Null model tests for the slope of the relationship between the observed number of colonizations at time t and the observed number of extinctions at time t + x.
  • Legend for table S8
  • References (53–137)

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Other Supplementary Material for this manuscript includes the following:

  • table s8 (.csv format). Primary references and metadata for 59 assemblage time series data sets.

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