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Why the Shaw-Mohler equation works and when it doesn't.

Martin Burd1

  • 1Department of Biology, Indiana University Herbarium, Indiana University, Bloomington, IN, USA.

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Summary

Fitness gain curves can misrepresent sex allocation theory by bypassing mating processes. True fitness equality requires balanced investment in male and female functions, not just gain curves.

Keywords:
hermaphroditereproductive ecologysex allocationsex ratio

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Area of Science:

  • Evolutionary Biology
  • Sex Allocation Theory

Background:

  • The Shaw-Mohler equation is foundational to sex allocation theory, modeling populations based on male and female numbers.
  • Frequency-dependent selection on the sex ratio is influenced by the rare-sex advantage.

Purpose of the Study:

  • To re-examine the Shaw-Mohler equation and the role of fitness gain curves.
  • To clarify the interpretation of gain curves in reproductive ecology and their relation to sex allocation.

Main Methods:

  • Analysis of the Shaw-Mohler equation framework.
  • Integration and critique of fitness gain curves within the existing theoretical model.

Main Results:

  • Fitness gain curves, when substituted into the Shaw-Mohler equation, bypass mating processes, potentially causing anomalies.
  • Equal total male and female fitness necessitates a constant sex allocation with equal resource investment.

Conclusions:

  • Gain curves can depict specific reproductive ecologies but do not causally determine sex allocation.
  • Misinterpretation arises from conflating input (resource investment) with output (fitness outcome).