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Percolation models of pathogen spillover.

Alex D Washburne1, Daniel E Crowley1, Daniel J Becker1,2,3

  • 1Department of Microbiology and Immunology, Montana State University, Bozeman, MT, USA.

Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences
|August 13, 2019
PubMed
Summary
This summary is machine-generated.

We introduce percolation models to understand pathogen spillover dynamics. These models link statistical analysis with mechanistic insights, improving predictions of cross-species transmission events.

Keywords:
generalized linear modelmultilevel modelpercolationprobabilityregressionspillover

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Area of Science:

  • Ecology and Evolutionary Biology
  • Epidemiology
  • Mathematical Biology

Background:

  • Predicting pathogen spillover requires linking event counts to covariates.
  • Mechanistic models are needed to understand pathogen transmission from reservoir to recipient hosts.

Purpose of the Study:

  • To present percolation models for pathogen spillover.
  • To connect statistical analysis of spillover data with mechanistic modeling.
  • To inform predictions of spillover risk.

Main Methods:

  • Representing spillover pathways as directed graphs.
  • Modeling spillover events as percolation of infectious units.
  • Utilizing piecewise linear statistical models (e.g., GAMs) for analysis.

Main Results:

  • Percolation models formalize concepts like multilevel transmission and covariate covariance.
  • Linear models for parameters yield nonlinear spillover rates, approximately piecewise linear.
  • Piecewise linearity impacts statistical inference on covariates like vector density.

Conclusions:

  • Percolation models offer a framework linking statistical and mechanistic approaches to spillover.
  • Statistical analysis should employ piecewise linear models to match percolation model predictions.
  • Findings have implications for forecasting spillover risk, especially in the Anthropocene.