What question did this study set out to answer?

The study aims to explore how selection influences continuously varying phenotypic characters in populations.

Selection and Polygenic Characters

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Mathematical model describes selection limits on phenotypic diversity in populations, suggesting significant implications.

The study aims to explore how selection influences continuously varying phenotypic characters in populations.
Developed a mathematical model to analyze the effect of selection.
Examined limits to phenotypic diversity based on standard deviation and expected offspring deviations.
Considered implications for density-dependent selection.
The standard deviation of a phenotypic character is limited to radical2beta, indicating a threshold for variation.
Density-dependent selection also adheres to the same limitations on phenotypic diversity.
These limits highlight the balance between phenotypic diversity and selective pressures.

Montgomery Slatkin (1970) studied this question.

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