3.4. Indexes of aggregation

1. Coefficient of dispersion:

2. Mean crowding (Lloyd 1967) is equal to the mean number of "neighbors" in the same quad:
Sample No.No. of individuals
(N)
No. of neighbors
(N-1)
N(N-1)
15420
2326
30-10
4100
57642
Total16-68

It means that the mean number of "neighbors" is = 4.25.

Note: mean crowding has biological sense only if the size of each quad corresponds to "interaction distance" among individuals.

Consider probability distribution p(i) = the proportion of samples with i individuals. Then:

For a random (poisson) distribution, CD=1, and thus, = m.

3. Lloyd (1967) suggested a "patchiness" index: /m, which is 1 for a random distribution, > 1 for aggregated distributions, and <1 for regular distributions. However it does not make more sense than CD.


Alexei Sharov 12/28/95