Optimal transportation theory for species interaction networks
Abstract Observed biotic interactions between species, such as in pollination, predation, and competition, are determined by combinations of population densities, matching in functional traits and phenology among the organisms, and stochastic events (neutral effects). We propose optimal transportati...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-05-01
|
| Series: | Ecology and Evolution |
| Online Access: | https://doi.org/10.1002/ece3.7254 |
| _version_ | 1819137118319935488 |
|---|---|
| author | Michiel Stock Timothée Poisot Bernard De Baets |
| author_facet | Michiel Stock Timothée Poisot Bernard De Baets |
| author_sort | Michiel Stock |
| collection | DOAJ |
| description | Abstract Observed biotic interactions between species, such as in pollination, predation, and competition, are determined by combinations of population densities, matching in functional traits and phenology among the organisms, and stochastic events (neutral effects). We propose optimal transportation theory as a unified view for modeling species interaction networks with different intensities of interactions. We pose the coupling of two distributions as a constrained optimization problem, maximizing both the system's average utility and its global entropy, that is, randomness. Our model follows naturally from applying the MaxEnt principle to this problem setting. This approach allows for simulating changes in species relative densities as well as to disentangle the impact of trait matching and neutral forces. We provide a framework for estimating the pairwise species utilities from data. Experimentally, we show how to use this framework to perform trait matching and predict the coupling in pollination and host–parasite networks. |
| first_indexed | 2024-12-22T10:45:47Z |
| format | Article |
| id | doaj.art-315fa9449bc041b998d8b8e4d314b0fb |
| institution | Directory Open Access Journal |
| issn | 2045-7758 |
| language | English |
| last_indexed | 2024-12-22T10:45:47Z |
| publishDate | 2021-05-01 |
| publisher | Wiley |
| record_format | Article |
| series | Ecology and Evolution |
| spelling | doaj.art-315fa9449bc041b998d8b8e4d314b0fb2022-12-21T18:28:55ZengWileyEcology and Evolution2045-77582021-05-011193841385510.1002/ece3.7254Optimal transportation theory for species interaction networksMichiel Stock0Timothée Poisot1Bernard De Baets2Department of Data Analysis and Mathematical Modelling Ghent University Ghent BelgiumDépartement de Sciences Biologiques Universitée de Montréal Montréal QC CanadaDepartment of Data Analysis and Mathematical Modelling Ghent University Ghent BelgiumAbstract Observed biotic interactions between species, such as in pollination, predation, and competition, are determined by combinations of population densities, matching in functional traits and phenology among the organisms, and stochastic events (neutral effects). We propose optimal transportation theory as a unified view for modeling species interaction networks with different intensities of interactions. We pose the coupling of two distributions as a constrained optimization problem, maximizing both the system's average utility and its global entropy, that is, randomness. Our model follows naturally from applying the MaxEnt principle to this problem setting. This approach allows for simulating changes in species relative densities as well as to disentangle the impact of trait matching and neutral forces. We provide a framework for estimating the pairwise species utilities from data. Experimentally, we show how to use this framework to perform trait matching and predict the coupling in pollination and host–parasite networks.https://doi.org/10.1002/ece3.7254 |
| spellingShingle | Michiel Stock Timothée Poisot Bernard De Baets Optimal transportation theory for species interaction networks Ecology and Evolution |
| title | Optimal transportation theory for species interaction networks |
| title_full | Optimal transportation theory for species interaction networks |
| title_fullStr | Optimal transportation theory for species interaction networks |
| title_full_unstemmed | Optimal transportation theory for species interaction networks |
| title_short | Optimal transportation theory for species interaction networks |
| title_sort | optimal transportation theory for species interaction networks |
| url | https://doi.org/10.1002/ece3.7254 |
| work_keys_str_mv | AT michielstock optimaltransportationtheoryforspeciesinteractionnetworks AT timotheepoisot optimaltransportationtheoryforspeciesinteractionnetworks AT bernarddebaets optimaltransportationtheoryforspeciesinteractionnetworks |