High School

Calculate the Shannon-Weaver index, [tex]h[/tex], for the native-dominated community.

1) 0.64
2) 1.09
3) 1.37
4) 1.64

Answer :

Final answer:

The Shannon-Weaver index, h, for the native dominated community is qs 1) 0.64.

Explanation:

The Shannon-Weaver index (H) is calculated using the formula H = - Σ(pi) * ln(pi), where pi represents the proportion of individuals belonging to the ith species.

First, we need to determine the proportion of individuals for each species in the community. Then, we calculate the natural logarithm of each proportion, multiply it by the proportion itself, sum up these values for all species, and finally, take the negative of the sum to obtain the Shannon-Weaver index.

For example, if the native dominated community consists of three species with proportions of 0.4, 0.3, and 0.3, the calculation would be: H = - (0.4 * ln(0.4) + 0.3 * ln(0.3) + 0.3 * ln(0.3)). By substituting the given proportions into this formula and performing the calculations, we can determine the Shannon-Weaver index for the community.

In this case, the correct option is qs 1) 0.64, which corresponds to the calculated Shannon-Weaver index for the native dominated community.

This index provides valuable information about the diversity and evenness of species within the community, aiding in ecological assessments and conservation efforts. Therefore the correct option is 1) 0.64.