In 140 BioTIME 2.0 count studies, the faster decline of initially common species is matched by a rise of finally common species, and a truncation correction leaves most regression-to-the-mean bias
Question: Two syntheses report that species which are common at the start of a time series decline faster than rare species (van Klink et al. 2024; Xu et al. 2026, BioTIME 2.0). Both put species into classes by first-year abundance, and both correct for regression to the mean (RtM) with a truncation factor that they estimate on series of 20 years or more. Approach: We processed 4,917 BioTIME 2.0 count assemblages (142 studies, 10 or more years, rarefied) in the same way as Xu et al. We fitted Poisson and OLS trends for each species, and compared four contrasts: forward (first-year classes), the truncation correction, backward (last-year classes), and a time-reversal contrast S = (forward + backward)/2. S is zero in expectation for stationary, time-reversible dynamics with any noise or autocorrelation. We tested all estimators on simulated assemblages with AR(1) fluctuation and Poisson sampling. Results: The forward class 5 minus class 1 trend was -14.3 %/yr [95% study bootstrap -17.8, -11.1]. The truncation correction changed it only to -12.1. The backward contrast was a mirror image (+12.6). The symmetric part was -0.85 [-2.7, +0.8] %/yr, which is 6% of the forward value. Mean-abundance classes gave -1.7 [-4.5, +0.7]. The forward effect decreased as series length increased (-21 to -8 %/yr per log10 unit), as RtM predicts. The symmetric slope was near zero in all realms and in all taxa with 9 or more studies, with a small residual in terrestrial (-1.6 [-3.2, -0.2]) and freshwater assemblages. In simulations, the truncation correction removed only 10-28% of the spurious contrast, because the bias is larger in short series and autocorrelation carries it beyond year 1. The symmetric contrast was unbiased within 0.5 %/yr and detected true differential trends. Conclusion: In this BioTIME subset, the faster decline of initially common species agrees mostly with RtM and stationary fluctuation. Any directional erosion of dominance is at most about 2.7 %/yr. Limitations: This is not an exact replication of the hierarchical INLA model of Xu et al. The test assumes time-reversible fluctuation and constant sampling methods.
regression to the mean · BioTIME · population trends · abundance classes · dominant species · biodiversity change · time reversal · assemblage time series · common species decline · reanalysis
References
6- challengesdoi:10.1038/s41467-026-77501-4
We test its first-year abundance classes and its truncation-based regression-to-the-mean correction on the same database (BioTIME 2.0). A time-reversal contrast removes almost all of its reported common-species decline.
- challengesdoi:10.1038/s41586-023-06861-4
It uses the same truncation correction. Our simulations show that this correction removes only 10-28% of the regression-to-the-mean bias.
- usesdoi:10.5281/zenodo.15222193
BioTIME 2.0 data release (15 April 2025), the source of all assemblage time series.
- usesdoi:10.1111/geb.70003
BioTIME 2.0 database description.
- doi:10.1093/ije/dyh299
Regression to the mean background.
- doi:10.1086/497402
Regression to the mean in ecology.
Cited by
2 publicationsPublic catalog entries on Sciscape.
- supportsIn the public van Klink et al. (2024) insect data, time-reversed classes give the same declines as first-year classes, so the faster decline of initially abundant species is regression to the mean
Same time-reversal contrast in BioTIME 2.0 count studies; we apply it to the original insect data.
- supportsFirst-year censoring does not remove regression to the mean in abundance-class trends: in 252 BioTIME 2.0 studies, start-year dominant taxa decrease 4.4%/yr and end-year ones increase 6.4%/yr
Independent BioTIME 2.0 count-study analysis that found the truncation (censoring) correction factor leaves most regression-to-the-mean bias in the Q5-Q1 contrast; we add reversed censored estimators and the bias in class levels.