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Peyhardi J, Laroche F, Mortier F. Pólya-splitting distributions as stationary solutions of multivariate birth-death processes under extended neutral theory. J Theor Biol 2024; 582:111755. [PMID: 38354766 DOI: 10.1016/j.jtbi.2024.111755] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/15/2023] [Revised: 11/17/2023] [Accepted: 01/28/2024] [Indexed: 02/16/2024]
Abstract
Multivariate count distributions are crucial for the inference of ecological processes underpinning biodiversity. In particular, neutral theory provides useful null distributions allowing the evaluation of adaptation or natural selection. In this paper, we build a broader family of multivariate distributions: the Polya-splitting distributions. We show that they emerge naturally as stationary distributions of a multivariate birth-death process. This family of distributions is a consistent extension of non-zero sum neutral models based on a master equation approach. It allows considering both total abundance of the community and relative abundances of species. We emphasize that this family is large enough to encompass various dependence structures among species. We also introduce the strong closure under addition property that can be useful to generate nested multi-level dependence structures. Although all Pólya splitting distributions do not share this property, we provide numerous example verifying it. They include the previously known example with independent species, and also new ones with alternative dependence structures. Overall, we advocate that Polya-splitting distribution should become a part of the classic toolbox for the analysis of multivariate count data in ecology, providing alternative approaches to joint species distribution framework. Comparatively, our approach allows to model dependencies between species at the observation level, while the classical JSDM's model dependencies at the latent process strata.
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Affiliation(s)
- Jean Peyhardi
- IMAG, University of Montpellier, CNRS, Montpellier, France.
| | - Fabien Laroche
- MR DYNAFOR, INP de Toulouse, INRAE, Auzeville Tolosane, France
| | - Frédéric Mortier
- CIRAD, UPR Forêts et Sociétés, F-34398 Montpellier, France; Environmental Justice Program, Georgetown University, Washington D.C., United States of America
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Xie L, Yang Y, Li Y, Chen S, Feng Y, Wang N, Lv T, Ding H, Wang L, Fang Y. A Meta-Analysis Indicates Positive Correlation between Genetic Diversity and Species Diversity. BIOLOGY 2021; 10:biology10111089. [PMID: 34827082 PMCID: PMC8615265 DOI: 10.3390/biology10111089] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 09/23/2021] [Revised: 10/19/2021] [Accepted: 10/22/2021] [Indexed: 01/21/2023]
Abstract
Simple Summary Understanding species and genetic correlations (SGDCs) is essential to establish community composition. In this study, 295 observations from 39 studies explored the SGDCs and the underlying drivers through conducting a global meta-analysis. A positive correlation was found, suggesting that parallel processes (environmental heterogeneity, area, and connectivity etc.) have effects on two diversities. As current biodiversity hotspots have mainly been identified based on high species diversity and high endemism of taxon, the understanding of SGDC will substantially help us to determine whether and how genetic diversity can be used in identifying biodiversity hotspots, as well as in developing conservation practices and policies for biodiversity. Abstract Species diversity (SD) and genetic diversity (GD) are the two basic levels of biodiversity. In general, according to the consensus view, the parallel effects of environmental heterogeneity, area, and connectivity on two levels, can drive a positive correlation between GD and SD. Conversely, a negative correlation or no correlation would be expected if these effects are not parallel. Our understanding of the relationships between SD and GD among different ecosystems, sampling methods, species, and under climate change remains incomplete. In the present study, we conducted a hierarchical meta-analysis based on 295 observations from 39 studies and found a positive correlation between genetic diversity and species diversity (95% confidence interval, 7.6–22.64%). However, significant relationships were not found in some ecosystems when we conducted species–genetic diversity correlation analysis based on a single ecosystem. Moreover, the magnitudes of the correlations generally decreased with the number of sampling units and the annual average the temperature of sampling units. Our results highlight the positive correlation between GD and SD, thereby indicating that protecting SD involves protecting GD in conservation practice. Furthermore, our results also suggest that global increases in temperature during the 21st century will have significant impacts on global biodiversity.
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Affiliation(s)
- Lei Xie
- Co-Innovation Center for Sustainable Forestry in Southern China, Key Laboratory of State Forestry and Grassland Administration on Subtropical Forest Biodiversity Conservation, College of Biology and the Environment, Nanjing Forestry University, Nanjing 210037, China; (L.X.); (Y.Y.); (Y.L.); (Y.F.); (N.W.); (T.L.); (L.W.)
| | - Yuan Yang
- Co-Innovation Center for Sustainable Forestry in Southern China, Key Laboratory of State Forestry and Grassland Administration on Subtropical Forest Biodiversity Conservation, College of Biology and the Environment, Nanjing Forestry University, Nanjing 210037, China; (L.X.); (Y.Y.); (Y.L.); (Y.F.); (N.W.); (T.L.); (L.W.)
| | - Yao Li
- Co-Innovation Center for Sustainable Forestry in Southern China, Key Laboratory of State Forestry and Grassland Administration on Subtropical Forest Biodiversity Conservation, College of Biology and the Environment, Nanjing Forestry University, Nanjing 210037, China; (L.X.); (Y.Y.); (Y.L.); (Y.F.); (N.W.); (T.L.); (L.W.)
| | - Shuifei Chen
- Research Center for Nature Conservation and Biodiversity, State Environmental Protection Scientific Observation and Research Station for Ecology and Environment of Wuyi Mountains, State Environmental Protection Key Laboratory on Biosafety, Nanjing Institute of Environmental Sciences, Ministry of Ecology and Environment, Nanjing 210042, China; (S.C.); (H.D.)
| | - Yueyao Feng
- Co-Innovation Center for Sustainable Forestry in Southern China, Key Laboratory of State Forestry and Grassland Administration on Subtropical Forest Biodiversity Conservation, College of Biology and the Environment, Nanjing Forestry University, Nanjing 210037, China; (L.X.); (Y.Y.); (Y.L.); (Y.F.); (N.W.); (T.L.); (L.W.)
| | - Ningjie Wang
- Co-Innovation Center for Sustainable Forestry in Southern China, Key Laboratory of State Forestry and Grassland Administration on Subtropical Forest Biodiversity Conservation, College of Biology and the Environment, Nanjing Forestry University, Nanjing 210037, China; (L.X.); (Y.Y.); (Y.L.); (Y.F.); (N.W.); (T.L.); (L.W.)
| | - Ting Lv
- Co-Innovation Center for Sustainable Forestry in Southern China, Key Laboratory of State Forestry and Grassland Administration on Subtropical Forest Biodiversity Conservation, College of Biology and the Environment, Nanjing Forestry University, Nanjing 210037, China; (L.X.); (Y.Y.); (Y.L.); (Y.F.); (N.W.); (T.L.); (L.W.)
| | - Hui Ding
- Research Center for Nature Conservation and Biodiversity, State Environmental Protection Scientific Observation and Research Station for Ecology and Environment of Wuyi Mountains, State Environmental Protection Key Laboratory on Biosafety, Nanjing Institute of Environmental Sciences, Ministry of Ecology and Environment, Nanjing 210042, China; (S.C.); (H.D.)
| | - Lu Wang
- Co-Innovation Center for Sustainable Forestry in Southern China, Key Laboratory of State Forestry and Grassland Administration on Subtropical Forest Biodiversity Conservation, College of Biology and the Environment, Nanjing Forestry University, Nanjing 210037, China; (L.X.); (Y.Y.); (Y.L.); (Y.F.); (N.W.); (T.L.); (L.W.)
| | - Yanming Fang
- Co-Innovation Center for Sustainable Forestry in Southern China, Key Laboratory of State Forestry and Grassland Administration on Subtropical Forest Biodiversity Conservation, College of Biology and the Environment, Nanjing Forestry University, Nanjing 210037, China; (L.X.); (Y.Y.); (Y.L.); (Y.F.); (N.W.); (T.L.); (L.W.)
- Correspondence:
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Affiliation(s)
- Carlo Ricotta
- Department of Environmental Biology University of Rome ‘La Sapienza’ Rome Italy
| | - Evsey Kosman
- Institute for Cereal Crops Improvement Tel Aviv University Tel Aviv Israel
| | | | - Sandrine Pavoine
- Centre d'Ecologie et des Sciences de la Conservation (CESCO) Muséum National d'Histoire Naturelle CNRS Sorbonne Université Paris France
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