scholarly journals ORTHOGONAL SERIES ESTIMATION OF THE PAIR CORRELATION FUNCTION OF A SPATIAL POINT PROCESS

2019 ◽  
Author(s):  
Abdollah Jalilian ◽  
Yongtao Guan ◽  
Rasmus Waagepetersen
Keyword(s):  
Correlation Function ◽  
Point Process ◽  
Pair Correlation Function ◽  
Orthogonal Series ◽  
Pair Correlation ◽  
Spatial Point Process ◽  
Spatial Point ◽  
Series Estimation

scholarly journals The distance decay of similarity in tropical rainforests. A spatial point processes analytical formulation

2017 ◽  
Author(s):  
Anna Tovo ◽  
Marco Favretti
Keyword(s):  
Correlation Function ◽  
Pair Correlation Function ◽  
Point Processes ◽  
Species Turnover ◽  
Pair Correlation ◽  
Analytical Formula ◽  
Barro Colorado Island ◽  
Spatial Density ◽  
Spatial Point Processes ◽  
Spatial Point

AbstractIn this paper we are concerned with the analytical description of the change in floristic composition (species turnover) with the distance between two plots of a tropical rainforest due to the clustering of the individuals of the different species. We describe the plant arrangement by a superposition of spatial point processes and in this framework we introduce an analytical function which represents the average spatial density of the Sørensen similarity between two infinitesimal plots at distancer. We see that the decay in similarity with the distance is essentially described by the pair correlation function of the superposed process and that it is governed by the most abundant species. We test our analytical model with empirical data obtained for the Barro Colorado Island and Pasoh rainforests. To this end we adopt the statistical estimator for the pair correlation function in [1] and we design a novel one for the Sørensen similarity. Furthermore, we test our analytical formula by modelling the forest study area with Neyman-Scott point processes. We conclude comparing the advantages of our approach with other ones existing in literature.

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