*Ecological Archives* E088-189-A6

**J. Wilson White
and Robert R. Warner. 2007. Safety in numbers and the spatial scaling
of density-dependent mortality in a coral reef fish. ***Ecology* 88:3044–3054.

Appendix F. A description of the settlement
distribution simulations.

For each transect, we
estimated the number of available settlement microsites as the total
number of unique microsites at which we observed settlers during 2005;
this is a conservative estimate but it should decrease the Type I error
rate for this test. Each site, *s*,
received *n*_{m} settlers to *x*_{s} microsites in each month, *m*.
For each site/month combination, we simulated the random settlement of *n*_{m} individuals to *x*_{s} microsites and
calculated the proportion, *f*,
of settlers that ended up in groups ( > 1 settlers per
microsite). We performed 1000 simulations, then compared the
proportion of new settlers in groups we observed in the field to the
simulated distribution of *f* to calculate a one-tailed *P* value
for the null hypothesis that settlement is random.

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