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.

Item type: | Article |
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ID code: | 4592 |

Keywords: | anisotropy, clumping, spectral analysis, lattice spectra spatial analysis, biometrics, statistics, Probabilities. Mathematical statistics, Biology |

Subjects: | Science > Mathematics > Probabilities. Mathematical statistics Science > Natural history > Biology |

Department: | Faculty of Science > Mathematics and Statistics |

Related URLs: | |

Depositing user: | Strathprints Administrator |

Date Deposited: | 06 Nov 2007 |

Last modified: | 16 Jul 2013 19:32 |

URI: | http://strathprints.strath.ac.uk/id/eprint/4592 |

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