The effects of seasonality on discrete models of population growth

M. Kot, W. M. Schaffer

Research output: Contribution to journalArticlepeer-review

77 Scopus citations


The effects of seasonality on the dynamics of a bivoltine population with discrete, nonoverlapping generations are examined. It is found that large seasonality is inevitably destabilizing but that mild seasonality may have a pronounced stabilizing effect. Seasonality also allows for the coexistence of alternative stable states (equilibria, cycles, chaos). These solutions may be seasonally in-phase, out-of-phase, or asynchronous. In-phase solutions correspond to winter regulation of population density, whereas out-of-phase solutions correspond to summer regulation. Analysis suggests that summer regulation is possible only in mildly seasonal habitats.

Original languageEnglish (US)
Pages (from-to)340-360
Number of pages21
JournalTheoretical Population Biology
Issue number3
StatePublished - Dec 1984

ASJC Scopus subject areas

  • Ecology, Evolution, Behavior and Systematics


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