A discrete mathematical method for the analysis of spatial pattern

P. Ittzés, É Jakó, Á Kun, A. Kun, J. Podaní

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

A discrete mathematical method, based on the Jakó Iterative Canonical Forms (ICF) of Boolean functions is proposed for the analysis of species combinations and the detection of characteristic areas in plant communities. Information on species combinations (or florulas) appearing in a sample is expressed in compact form to reveal fundamental properties of community pattern. The new method provides a complementary tool for the florula. diversity approach: whereas florula diversity is indicative of the firequency distribution of species combinations regardless their interrelationships, the new procedure detects complexity in the abstract structure of species combinations. Graph-theoretical representations of the ICF promote understanding the new method and visualizing its results. A cellular automata model and field data provide illustrative examples.

Original languageEnglish
Pages (from-to)177-190
Number of pages14
JournalCommunity Ecology
Volume6
Issue number2
DOIs
Publication statusPublished - 2005

Fingerprint

Spatial Analysis
numerical method
cellular automaton
plant communities
biogeography
methodology
plant community
analysis
sampling
method

Keywords

  • Boolean functions
  • Cellular automata
  • Graphs
  • Species pattern
  • Vegetation

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)

Cite this

A discrete mathematical method for the analysis of spatial pattern. / Ittzés, P.; Jakó, É; Kun, Á; Kun, A.; Podaní, J.

In: Community Ecology, Vol. 6, No. 2, 2005, p. 177-190.

Research output: Contribution to journalArticle

Ittzés, P. ; Jakó, É ; Kun, Á ; Kun, A. ; Podaní, J. / A discrete mathematical method for the analysis of spatial pattern. In: Community Ecology. 2005 ; Vol. 6, No. 2. pp. 177-190.
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