A critical smoothing test for multiple equilibria

Andrew R. Solow*, Lewi Stone, Ian Rozodilsky

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

If a population has multiple positive stable equilibria, this information can be useful in natural-resource management. We describe a test for the presence of multiple, potentially stable equilibria in a single population. The test is based on the idea of critical smoothing. Critical smoothing was originally proposed for testing for multiple modes in a probability density function. The test is illustrated using data for the spruce budworm and the snowshoe hare.

Original languageEnglish
Pages (from-to)1459-1463
Number of pages5
JournalEcology
Volume84
Issue number6
DOIs
StatePublished - Jun 2003

Keywords

  • Bandwidth of a kernel estimator
  • Bootstrap procedures for time series
  • Critical-smoothing test
  • Kernel estimation
  • Multiple equilibria, test
  • Snowshoe hare
  • Spruce budworm

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