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

Fingerprint

Population dynamics
Stochastic Dynamics
Biological systems
Population Dynamics
Random processes
Ecosystem
Extinction
Persistence
Ecosystems
Probability distributions
Stochasticity
Stochastic Resonance
Stochastic Algorithms
Complex Dynamics
Biological Systems
Stochastic Processes
Probability Distribution
Oscillation
Evaluate
Model

Keywords

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

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation
  • Applied Mathematics

Cite this

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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.",
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author = "Anuj Mubayi and Christopher Kribs and Viswanathan Arunachalam and Carlos Castillo-Chavez",
year = "2019",
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