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The following is a spatial point pattern: enter image description here

and these are the corresponding Ripley's K function and L function for this data: enter image description here

enter image description here

How are these functions interpreted?

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If L(observed) < L(expected), the pattern is more regular than expected, if L(observed) > L(expected) the pattern is clustered

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    $\begingroup$ So would this say that at distances of 0.15 or greater, the cells are randomly and evenly dispersed, but at closer distances the cells are organized in a way that avoids clustering -- perhaps implies a kind of repulsion? $\endgroup$ – Wayne Apr 27 '13 at 1:34
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    $\begingroup$ I would use the simulation (envelope()) function before I put any statements on that, you need to evaluate how many times you could observe similar values of L by chance $\endgroup$ – Corey Sparks Apr 28 '13 at 0:23
  • $\begingroup$ A nice(r) graph is to plot r-L vs r (or L-r vs r) so deviations from the expected value under CSR (now=0) are shown as positive or negative. Also, envelopes will be symmetrical(ish) around zero $\endgroup$ – FairMiles Sep 2 '15 at 15:53

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