# How much data do I need in spatial hotspot analysis?

I'm now doing a project about spatial hotspot analysis. I read many literatures, however, I can't find any papers tell how they determine the data size they used.

I mean, suppose we have crime location data, in some small cities, maybe our data size is relatively small. Under this condition, is our hotspots reliable? I though there must be a minimum requirement for data size in spatial hotspot analysis. Anyone knows how to determine the data size?

Thank you very much!

To paraphrase, the sampling distribution of $G_i$ under the null hypothesis (of complete spatial randomness..."CSR") is asymptotically normal. The expected value is based on the number of points $j$ that are connected to point $i$ relative to the total number of points. When the distance is sufficiently small such that the expected value is small, normality is lost; likewise, normality is lost when all points $j$ are connected to $i$.
You can also use a permutation test to assess the significance of $G_i$ or $G_i^*$. If the P-values obtained based on the normal approximation are wildly different from those obtained by the permutation test, it might suggest that your expected values are violating the assumption of the normal approximation.