Two-dimensional spectral analysis for marked point processes

Renshaw, E. (2002) Two-dimensional spectral analysis for marked point processes. Biometrical Journal, 44 (6). pp. 718-745. ISSN 0323-3847

Abstract

Spectral analysis has already been shown to be a powerful tool in the interrogation of lattice patterns, since it assumes no structural characteristics in the data (such as isotropy) prior to analysis. Here we extend the analysis to non-lattice data for which both points and marks can exhibit spatial structure. Both distance- and spectral-based measures are introduced, and theoretical comparisons are made between lattice and mark spectra. Simulated examples suggest a high degree of independence between point and mark spectra, and a real example is presented for the spatial structure of 584 tree locations and diameters at breast height of longleaf pine trees in southern Georgia.

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  Item type:	Article
  ID code:	4592
  Dates:	Date Event 2002 Published
  Keywords:	anisotropy, clumping, spectral analysis, lattice spectra spatial analysis, biometrics, statistics, Probabilities. Mathematical statistics, Biology, Statistics and Probability, Statistics, Probability and Uncertainty, Medicine(all)
  Subjects:	Science > Mathematics > Probabilities. Mathematical statistics Science > Natural history > Biology
  Department:	Faculty of Science > Mathematics and Statistics
  Depositing user:	Strathprints Administrator
  Date deposited:	06 Nov 2007
  Last modified:	20 Jan 2021 17:15
  URI:	https://strathprints.strath.ac.uk/id/eprint/4592