Dwarf males, large hermaphrodites and females in marine species: A dynamic optimization model of sex allocation and growth

Sachi Yamaguchia, Kota Sawada, Yoichi Yusa, Yoh Iwasa

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

In this study, we investigate the evolutionarily stable schedule of growth and sex allocation for marine benthic species that contain dwarf males. We consider a population in an ephemeral microhabitat that receives a constant supply of larvae. Small individuals can immediately reproduce as a dwarf male or remain immature and grow. Large individuals allocate reproductive resources between male and female functions. The fraction c of newly settled individuals who remain immature and the sex allocation of large individuals m are quantities to evolve. In the stationary ESS, if the relative reproductive success of dwarf males is greater than the survivorship of immature individuals until they reach a mature size, then the population is a mixture of females and dwarf males. If the opposite inequality holds, the population is dominated by hermaphrodites and lacks dwarf males. There is no case in which a mixture of hermaphrodites and dwarf males to be the ESS in the stationary solution. The ESS can be solved by dynamic programming when the strategies depend on the age of the microhabitat (c (t) and m(t)). Typically, the ESS schedule begins with a population composed only of hermaphrodites, which is replaced by a mixture of dwarf males and hermaphrodites and then by a mixture of dwarf males and pure females. The relative importance of these three phases depends on multiple parameters.

Original languageEnglish
Pages (from-to)49-57
Number of pages9
JournalTheoretical Population Biology
Volume85
Issue number1
DOIs
Publication statusPublished - Jan 1 2013

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sex allocation
hermaphrodite
evolutionarily stable strategy
immatures
microhabitat
microhabitats
dynamic programming
survivorship
reproductive success
population size
survival rate
larva

All Science Journal Classification (ASJC) codes

  • Ecology, Evolution, Behavior and Systematics

Cite this

Dwarf males, large hermaphrodites and females in marine species : A dynamic optimization model of sex allocation and growth. / Yamaguchia, Sachi; Sawada, Kota; Yusa, Yoichi; Iwasa, Yoh.

In: Theoretical Population Biology, Vol. 85, No. 1, 01.01.2013, p. 49-57.

Research output: Contribution to journalArticle

Yamaguchia, Sachi ; Sawada, Kota ; Yusa, Yoichi ; Iwasa, Yoh. / Dwarf males, large hermaphrodites and females in marine species : A dynamic optimization model of sex allocation and growth. In: Theoretical Population Biology. 2013 ; Vol. 85, No. 1. pp. 49-57.
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