In Leon Creek there are 5 species of fish. The species and the number of individuals in each species are as follows: 20 catfish, 15 gar, 12 large-mouth bass, 10 perch, and 2 striped bass. Calculate the Shannon-Wiener index value (H') for this fish community.

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Quizplus · Accepted Answer

The Shannon-Wiener index value (H') is a measure of the diversity of a community. It takes into account both the number of species and the relative abundance of each species. The formula for H' is:H' = -Σ(p_i * ln(p_i))where p_i is the proportion of individuals in the community that belong to species i.In this case, the proportion of individuals in each species is:p_catfish = 20/67 = 0.2985p_gar = 15/67 = 0.2239p_large-mouth bass = 12/67 = 0.1791p_perch = 10/67 = 0.1493p_striped bass = 2/67 = 0.0299Plugging these values into the formula for H', we get:H' = -[(0.2985 * ln(0.2985)) + (0.2239 * ln(0.2239)) + (0.1791 * ln(0.1791)) + (0.1493 * ln(0.1493)) + (0.0299 * ln(0.0299))] = 0.63Therefore, the Shannon-Wiener index value for this fish community is 0.63.

In Leon Creek There Are 5 Species of Fish