Evolutionary jumping and breakthrough in tree masting evolution

Yuuya Tachiki, Yoh Iwasa

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Many long-lived plants such as trees show masting or intermittent and synchronized reproduction. In a coupled chaos system describing the dynamics of individual-plant resource budgets, masting occurs when the resource depletion coefficient k (ratio of the reproductive expenditure to the excess resource reserve) is large. Here, we mathematically studied the condition for masting evolution. In an infinitely large population, we obtained a deterministic dynamical system, to which we applied the pairwise invasibility plot and convergence stability of evolutionary singularity analyses. We prove that plants reproducing at the same rate every year are not evolutionarily stable. The resource depletion coefficient k increases, and the system oscillates with a period of 2 years (high and low reproduction) if k< 1. Alternatively, k may evolve further and jump to a value >1, resulting in the sudden start of intermittent reproduction. We confirm that a high survivorship of young plants (seedlings) in the light-limited understory favors masting evolution, as previously suggested by computer simulations and field observations. The stochasticity caused by the finiteness of population size also promotes masting evolution.

Original languageEnglish
Pages (from-to)20-31
Number of pages12
JournalTheoretical Population Biology
Volume81
Issue number1
DOIs
Publication statusPublished - Feb 1 2012

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masting
jumping
resource depletion
invasibility
computer simulation
understory
chaotic dynamics
stochasticity
survivorship
population size
survival rate
expenditure
seedlings
seedling

All Science Journal Classification (ASJC) codes

  • Ecology, Evolution, Behavior and Systematics

Cite this

Evolutionary jumping and breakthrough in tree masting evolution. / Tachiki, Yuuya; Iwasa, Yoh.

In: Theoretical Population Biology, Vol. 81, No. 1, 01.02.2012, p. 20-31.

Research output: Contribution to journalArticle

Tachiki, Yuuya ; Iwasa, Yoh. / Evolutionary jumping and breakthrough in tree masting evolution. In: Theoretical Population Biology. 2012 ; Vol. 81, No. 1. pp. 20-31.
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