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Optimal transportation theory for species interaction networks

Michiel Stock (UGent) , Timothee Poisot and Bernard, de Baets (UGent)
(2021) ECOLOGY AND EVOLUTION. 11. p.3841-3855
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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.

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Citation

Please use this url to cite or link to this publication:

MLA
Stock, Michiel, et al. “Optimal Transportation Theory for Species Interaction Networks.” ECOLOGY AND EVOLUTION, vol. 11, 2021, pp. 3841–55, doi:10.1002/ece3.7254.
APA
Stock, M., Poisot, T., & de Baets, B. (2021). Optimal transportation theory for species interaction networks. ECOLOGY AND EVOLUTION, 11, 3841–3855. https://doi.org/10.1002/ece3.7254
Chicago author-date
Stock, Michiel, Timothee Poisot, and Bernard de Baets. 2021. “Optimal Transportation Theory for Species Interaction Networks.” ECOLOGY AND EVOLUTION 11: 3841–55. https://doi.org/10.1002/ece3.7254.
Chicago author-date (all authors)
Stock, Michiel, Timothee Poisot, and Bernard de Baets. 2021. “Optimal Transportation Theory for Species Interaction Networks.” ECOLOGY AND EVOLUTION 11: 3841–3855. doi:10.1002/ece3.7254.
Vancouver
1.
Stock M, Poisot T, de Baets B. Optimal transportation theory for species interaction networks. ECOLOGY AND EVOLUTION. 2021;11:3841–55.
IEEE
[1]
M. Stock, T. Poisot, and B. de Baets, “Optimal transportation theory for species interaction networks,” ECOLOGY AND EVOLUTION, vol. 11, pp. 3841–3855, 2021.
@article{8706610,
  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.}},
  author       = {{Stock, Michiel and Poisot, Timothee and de Baets, Bernard,}},
  issn         = {{2045-7758}},
  journal      = {{ECOLOGY AND EVOLUTION}},
  language     = {{eng}},
  pages        = {{3841--3855}},
  title        = {{Optimal transportation theory for species interaction networks}},
  url          = {{http://doi.org/10.1002/ece3.7254}},
  volume       = {{11}},
  year         = {{2021}},
}
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