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

## 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:

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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