Two-dimensional spectral analysis for marked point processes

Research output: Contribution to journalArticle

20 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)718-745
Number of pages27
JournalBiometrical Journal
Volume44
Issue number6
DOIs
Publication statusPublished - 2002

Fingerprint

Marked Point Process
Pinus
Dimensional Analysis
Spatial Structure
Spectral Analysis
Breast
Isotropy
Marked point process
Spectral analysis
Spatial structure
Independence

Keywords

  • anisotropy
  • clumping
  • spectral analysis
  • lattice spectra spatial analysis
  • biometrics
  • statistics

Cite this

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title = "Two-dimensional spectral analysis for marked point processes",
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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Two-dimensional spectral analysis for marked point processes. / Renshaw, E.

In: Biometrical Journal, Vol. 44, No. 6, 2002, p. 718-745.

Research output: Contribution to journalArticle

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AU - Renshaw, E.

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Y1 - 2002

N2 - 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.

AB - 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.

KW - anisotropy

KW - clumping

KW - spectral analysis

KW - lattice spectra spatial analysis

KW - biometrics

KW - statistics

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