Production of offspring using current income and reserves: Size-number trade-off and optimal offspring size

Satoki Sakai, Yasushi Harada

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

To analyse the effects of current income on the nature of size-number trade-off and optimal offspring size, we developed a model in which offspring grow by absorbing current income and reserves. The offspring continue to grow while the current income is available or the reserves exist, and they cease to grow when the reserves are depleted and the current income ceases. We showed that the size-number trade-off is nonlinear in the region where the number of offspring is smaller than the critical number and linear in the region where the number of offspring is greater than the critical number. In the former region, the reserves are not depleted by the time the current income ceases and the offspring cease to grow when the reserves are depleted, whereas in the latter region, the reserves are depleted before the current income ceases and the offspring production is completed when the current income ceases. The optimal offspring size is the same as that shown in Sakai and Harada (Evolution 55 (2001) 467) if this optimal size is realized in the region of nonlinear trade-off, whereas the optimal offspring size is the same as that shown in Smith and Fretwell (Am. Natur. 108 (1974) 499) if this optimal size is realized in the region of linear trade-off.

Original languageEnglish
Pages (from-to)65-73
Number of pages9
JournalJournal of Theoretical Biology
Volume233
Issue number1
DOIs
Publication statusPublished - 2005 Mar 7

Keywords

  • Capital breeder
  • Income breeder
  • Optimal offspring size
  • Sink-limitation
  • Size-number trade-off

ASJC Scopus subject areas

  • Statistics and Probability
  • Modelling and Simulation
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Agricultural and Biological Sciences(all)
  • Applied Mathematics

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