## Related questions with answers

Question

The exercise deal with the Shannon index of diversity. Note that in two communities with the same number of species, a larger index indicates greater diversity.

A study of barn owl prey in a particular area produced the following data:

Species | Number |
---|---|

Rats | 662 |

Mice | 907 |

Birds | 531 |

Find the index of diversity of this community. Is this community more or less diverse than the one in the previous exercise?

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 2Barn owl prey numbers in a particular area are given in following table.

Species | Number |
---|---|

Rats | $662$ |

Mice | $907$ |

Birds | $531$ |

The index of diversity, Shannon index $H$ is given by

$H = \frac{ N\log_2N -[n_1\log_2n_1 + n_2\log_2n_2 +.....+ n_k\log_2n_k] }{N}$

where $k$th species has $n_k$ number and $N$ is the total population.

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