Abstract

ads is an R package that performs multi-scale spatial point pattern analyses through methods derived from Ripley's K-function. These methods apply to univariate, multivariate or marked point data mapped in a rectangular, circular or irregular-shaped sampling window. Specific tests of statistical significance based on Monte Carlo simulations are associated to these methods. The main features of ads is to call fast C subroutines for computing Ripley's unbiased local correction of edge effects for various sampling window configurations and for performing Monte Carlo simulations. It thus allows one to analyze large datasets and to compute robust confidence envelopes. This paper is an introduction to ads version 1.5, focusing on its complementarity with the other R packages for spatial point pattern analysis, and on recent original developments towards the introduction of multivariate functions for analyzing spatial pattern of species diversity.

Highlights

  • Introduction ads is anR package for spatial analysis of mapped data based on second-order multi-scale analyses of spatial point patterns derived from Ripley’s (1977) K-function

  • The core C code used for the implementation of the geometrical functions of edge effects correction was written by Goreaud (2000) in the framework of his PhD thesis, based on triangle geometry (Goreaud and Pelissier 1999)

  • The sampling window ("swin") and spatial point pattern ("spp") objects used in ads are similar but not exactly the same to the ones used in spatstat

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Summary

Summary statistics

Array of summary statistics Kpq (r) Lpq(r), gpq(r), npq(r) Kp.(r) Lp.(r), gp.(r), np.(r) Species diversity statistics KS (r), gS (r) Shimatani (2001) KR(r), gR(r) Kd(r), gd(r) Shen, Wiegand, Mi, and He kpqfun —— kp.fun ——. Ads: A Fast Unbiased Implementation of the K-function Family in R variable (e.g., tree stem diameter), so defining various types of point patterns (i.e., univariate, multivariate or marked). The computational functions automatically recognize these objects and their types, and call the appropriate C subroutines. Version 1.5 of ads computes the most classical members of the K-function family, as in particular does spatstat, and more specific functions for the spatial analysis of species diversity from multivariate point patterns, which, from our knowledge, do not exist in any other R package (Table 1)

Data preparation
Sampling window definition
Point pattern definition
Data analysis
Univariate functions
Bivariate functions
Multivariate functions
Marked functions
Local density functions
Spatial point pattern replication
Conclusion and perspectives
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