Life Stages: Interactions and Spatial Patterns

Suzanne L. Robertson, Jim M Cushing, Robert F Costantino

Research output: Contribution to journalArticle

Abstract

In many stage-structured species, different life stages often occupy separate spatial niches in a heterogeneous environment. Life stages of the giant flour beetle Tribolium brevicornis (Leconte), in particular adults and pupae, occupy different locations in a homogeneous habitat. This unique spatial pattern does not occur in the well-studied stored grain pests T. castaneum (Herbst) and T. confusum (Duval). We propose density dependent dispersal as a causal mechanism for this spatial pattern. We model and explore the spatial dynamics of T. brevicornis with a set of four density dependent integrodifference and difference equations. The spatial model exhibits multiple attractors: a spatially uniform attractor and a patchy attractor with pupae and adults spatially separated. The model attractors are consistent with experimental observations.

Original languageEnglish (US)
Pages (from-to)491-508
Number of pages18
JournalBulletin of Mathematical Biology
Volume74
Issue number2
DOIs
StatePublished - Feb 2012

Fingerprint

Pupa
Spatial Pattern
Attractor
pupa
Tribolium
pupae
Beetles
Flour
Integrodifference Equations
Interaction
Uniform Attractor
Tribolium (Coleoptera)
Ecosystem
Stage-structured
Heterogeneous Environment
Niche
Dependent
Tenebrionidae
stored grain
Spatial Model

Keywords

  • Density dependent dispersal
  • Flour beetle
  • Integrodifference equations
  • Life stage interactions
  • Spatial distribution

ASJC Scopus subject areas

  • Neuroscience(all)
  • Computational Theory and Mathematics
  • Mathematics(all)
  • Pharmacology
  • Immunology
  • Biochemistry, Genetics and Molecular Biology(all)
  • Agricultural and Biological Sciences(all)
  • Environmental Science(all)

Cite this

Life Stages : Interactions and Spatial Patterns. / Robertson, Suzanne L.; Cushing, Jim M; Costantino, Robert F.

In: Bulletin of Mathematical Biology, Vol. 74, No. 2, 02.2012, p. 491-508.

Research output: Contribution to journalArticle

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