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The Strathprints institutional repository is a digital archive of University of Strathclyde research outputs.

Strathprints serves world leading Open Access research by the University of Strathclyde, including research by the Strathclyde Institute of Pharmacy and Biomedical Sciences (SIPBS), where research centres such as the Industrial Biotechnology Innovation Centre (IBioIC), the Cancer Research UK Formulation Unit, SeaBioTech and the Centre for Biophotonics are based.

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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

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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.