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Mayr, mathematics and the study of evolution.

¹University of Wisconsin, Madison, 53706-1574, USA. jfcrow@wisc.edu

Journal of Biology

|March 18, 2009

Summary

Mathematical models are increasingly vital for evolutionary studies, a trend that began with a debate in 1959 and continues to grow in importance today.

Area of Science:

Evolutionary Biology
Mathematical Biology

Background:

Ernst Mayr questioned the utility of mathematical models in evolutionary studies in 1959.
J.B.S. Haldane responded to Mayr's challenge, advocating for the role of mathematical approaches.

Purpose of the Study:

To re-evaluate the relevance of mathematical models in evolutionary biology.
To assess the historical trajectory and future importance of quantitative methods in evolutionary research.

Main Methods:

Historical analysis of scientific discourse on mathematical modeling in evolution.
Review of contemporary and projected trends in evolutionary quantitative analysis.

Main Results:

The initial challenge to mathematical models in evolution has been superseded by their growing significance.

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The integration of mathematical approaches in evolutionary studies has demonstrably increased over the past fifty years.

Conclusions:

Mathematical models are indispensable tools in modern evolutionary biology.
The importance of quantitative methods in evolutionary studies is projected to continue its upward trend.