Point Pattern Analysis: L-r function

Question

I'm new to pattern analysis. And I got a result of L-r function as below. So, how should I interpret the plot? Does it mean the points are cluster when L-r value is less than 0 and dispersed when the value is greater than 0?

See https://stats.stackexchange.com/a/122816/919 for examples and interpretations of this function. — whuber, Mar 30 '20 at 19:20

score 1 · Answer 1 · answered Mar 29 '20 at 19:23

and welcome to the site.

Actually the interpretation is just opposite of what you write. Values above zero indicate clustering and values below zero indicate regularity/dispersion/repulsion. However, the L-function is cumulative over all distances up to r and this makes the interpretation more subtle/difficult. It is actually sometimes easier to interpret the related pair correlation function, but this is harder to estimate. I highly recommend you read a bit more on the subject. Chapter 7 of the spatstat book is available as a free sample chapter and contains a lot of details on this (disclaimer: I'm a co-author of the book).

Cool! Thanks for your information. I'll read it now. – andrew Mar 30 '20 at 00:56 — andrew, Mar 30 '20 at 00:56

Point Pattern Analysis: L-r function

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