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Second-Order Neighborhood Analysis of Mapped Point Patterns

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Perspectives on Spatial Data Analysis

Part of the book series: Advances in Spatial Science ((ADVSPATIAL))

Abstract

A technique based on second-order methods, called second-order neighborhood analysis, is used to quantify clustering at various spatial scales. The theoretical model represents the degree of clustering in a Poisson process from the perspective of each individual point. The method is applied to point location data for a sample of ponderosa pine (Pinus ponderosa) trees, and shows that heterogeneity within the forest is clearly a function of the scale of analysis.

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References

  • Bartlett MS (1950) Periodogram analysis and continuous spectra. Biometrika 37:1–16

    Google Scholar 

  • Diggle PJ (1983) Statistical analysis of spatial point patterns. Academic, London

    Google Scholar 

  • Franklin J, Michaelsen J, Strahler AH (1985) Spatial analysis of density dependent pattern in coniferous forest stands. Vegetatio 64:29–36

    Article  Google Scholar 

  • Getis A (1984) Interaction modeling using second-order analysis. Environ Plan A 16:173–183

    Article  Google Scholar 

  • Grieg-Smith P (1983) Quantitative plant ecology, 3rd edn. Blackwell, Oxford

    Google Scholar 

  • Moellering H, Tobler WR (1972) Geographical variances. Geogr Anal 4:34–50

    Article  Google Scholar 

  • Pacala S, Silander J Jr (1985) Neighborhood models of plant population dynamics. I. Single-species models of annuals. Am Nat 125:385–411

    Google Scholar 

  • Pielou E (1977) Mathematical ecology. Wiley, New York

    Google Scholar 

  • Rayner JN (1971) An introduction to spectral analysis. Pion, London

    Google Scholar 

  • Ripley BD (1977) Modelling spatial patterns (with discussion). J R Stat Soc B 39:172–212

    Google Scholar 

  • Ripley BD (1981) Spatial statistics. Wiley, New York

    Book  Google Scholar 

  • Robinson A, Sale R, Morrison J, Muehrcke P (1984) Elements of cartography, 5th edn. Wiley, New York

    Google Scholar 

  • Weiner J (1984) Neighbourhood in interference amongst Pinus rigida individuals. J Ecol 72: 183–195

    Article  Google Scholar 

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Correspondence to Arthur Getis .

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Getis, A., Franklin, J. (2010). Second-Order Neighborhood Analysis of Mapped Point Patterns. In: Anselin, L., Rey, S. (eds) Perspectives on Spatial Data Analysis. Advances in Spatial Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01976-0_7

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