Studying Complexity and Risk Through Stochastic Population Dynamics: Persistence, Resonance, and Extinction in Ecosystems

Anuj Mubayi, Christopher Kribs, Viswanathan Arunachalam, Carlos Castillo-Chavez

Research output: Contribution to journalArticlepeer-review

Abstract

Stochasticity provides a way to evaluate risk in complex population dynamics. This chapter describes how basic stochastic processes and algorithms are used to build models of ecological populations which can then derive probability distributions for population persistence and extinction, explain sustained oscillations generated by stochastic resonance, and measure emergent properties of a biological system, all as functions of demographic or environmental stochastic effects.

Original languageEnglish (US)
JournalHandbook of Statistics
DOIs
StateAccepted/In press - Jan 1 2019

Keywords

  • Agent-based models
  • Dynamical systems
  • Stochastic algorithms
  • Stochastic processes

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation
  • Applied Mathematics

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