Pair-approximation analyses of evolutionarily stable strategies for flowering time in clonal monocarpic plants

Yuuya Tachiki, Akiko Satake

Research output: Contribution to journalArticle

Abstract

Clonal plants can employ two distinct reproductive strategies, clonal and sexual reproduction. Bamboos are monocarpic clonal plants that flower after a long-term clonal reproduction, and then die after seed production. To explore the effect of spatial structure formed through clonal reproduction on the evolution of such long flowering intervals, we developed a model for population growth of clonal plants on a regular lattice. We applied the pair-approximation that enables us to obtain a closed form of the dynamics. We derived the condition that an infinitely long flowering interval (a pure clonal strategy) or annual flowering strategy became an evolutionarily stable strategy. We demonstrate that localized dispersal broadens the region in which finite flowering interval evolves. Our finding highlights the importance to take into account the spatial structure on the studies of life history strategy in clonal plants.

Original languageEnglish
Pages (from-to)615-639
Number of pages25
JournalJapan Journal of Industrial and Applied Mathematics
Volume32
Issue number3
DOIs
Publication statusPublished - Nov 1 2015

Fingerprint

Evolutionarily Stable Strategy
Pair Approximation
Bamboo
Flowering
Seed
Spatial Structure
Interval
Population Growth
Annual
Closed-form
Die
Distinct
Strategy
Demonstrate

All Science Journal Classification (ASJC) codes

  • Engineering(all)
  • Applied Mathematics

Cite this

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