Disentangling the structure of ecological bipartite networks from observation processes

Latent Block Model
Sampling Effect
Stochastic Expectation Maximization
Nestedness
Modularity

A new model for network analysis.

Authors
Affiliations

Emre Anakok

Université Paris-Saclay, AgroParisTech, INRAE, UMR MIA Paris-Saclay, 91120, Palaiseau, France.

Pierre Barbillon

Université Paris-Saclay, AgroParisTech, INRAE, UMR MIA Paris-Saclay, 91120, Palaiseau, France.

Colin Fontaine

Centre d’Ecologie et des Sciences de la Conservation, MNHN, CNRS, SU, 43 rue Buffon, 75005 Paris, France

Elisa Thebault

Sorbonne Université, CNRS, IRD, INRAE, Université Paris Est Créteil, Université Paris Cité, Institute of Ecology and Environmental Sciences (iEES-Paris), 75005 Paris, France

Published

March 17, 2025

Abstract

The structure of a bipartite interaction network can be described by providing a clustering for each of the two types of nodes. Such clusterings are outputted by fitting a Latent Block Model (LBM) on an observed network that comes from a sampling of species interactions in the field. However, the sampling is limited and possibly uneven. This may jeopardize the fit of the LBM and then the description of the structure of the network by detecting structures which result from the sampling and not from actual underlying ecological phenomena. If the observed interaction network consists of a weighted bipartite network where the number of observed interactions between two species is available, the sampling efforts for all species can be estimated and used to correct the LBM fit. We propose to combine an observation model that accounts for sampling and an LBM for describing the structure of underlying possible ecological interactions. We develop an original inference procedure for this model, the efficiency of which is demonstrated on simulation studies. The pratical interest in ecology of our model is highlighted on a large dataset of plant-pollinator network.

Link to paper

GitHub repository

Citation

BibTeX citation:
@article{anakok2025,
  author = {Anakok, Emre and Barbillon, Pierre and Fontaine, Colin and
    Thebault, Elisa},
  title = {Disentangling the Structure of Ecological Bipartite Networks
    from Observation Processes},
  journal = {The Annals of Applied Statistics},
  date = {2025-03-17},
  url = {https://doi.org/10.1214/24-AOAS1965},
  langid = {en}
}
For attribution, please cite this work as:
Anakok, Emre, Pierre Barbillon, Colin Fontaine, and Elisa Thebault. 2025. “Disentangling the Structure of Ecological Bipartite Networks from Observation Processes.” The Annals of Applied Statistics, March. https://doi.org/10.1214/24-AOAS1965.