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The Biology Project > Biomath > Rational Functions > Applications > Effective Population Size

Rational Function Applications

Effective Population Size

Ecologists and evolutionary biologists often census population size to asses population health and to identify processes that shape evolution. For example, genetic drift plays a larger role in smaller populations. Population size, however, may not always be a good measure. For example, a population may consist of 95% sexually immature and 5% sexually mature individuals. In such cases, effective population size (Ne ) may be computed based on the number of individuals that actually take part in reproduction.

 

 

The southern elephant seal. Photo credit: Photo Rebecca Shoop, National Science Foundation.

Effective population size and census population size may be drastically different when the number of breeding males and breeding females in a population are drastically different (e.g. polygamous species and social insects). In this case, we can express effective population size using a rational function as,

where Nf and Nm are the number of breeding females and breeding males, respectively. We will also assume that,

Nf + Nm = N.

Use the equations above to answer the following questions:

Find the effective population size given the number of breeding males and females.

Find the number of breeding males in a population.

Describe what happens to a given population as the number of breeding females increase.

Determine the effective population when there are twice as many breeding males as breeding females.

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The Biology Project > Biomath > Rational Functions > Applications > Effective Population Size


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