Accurate recognition of spatial patterns arising in spatio-temporal dynamics of invasive species

Natalia Petrovskaya*, Wenxin Zhang

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapter


Accurate identification of spatial patterns remains a challenging problem in many ecological applications. One example is a problem of biological invasion where distinguishing between patchy spatial density pattern and continuous front spatial density pattern is important for monitoring and control of the invasive species. In this paper we address the problem of pattern recognition in biological invasion in terms of a biologically meaningful mathematical model consisting of two coupled integro-difference equations. The model allows for generating topologically different spatial structures and we employ several topological characteristics of spatial pattern to investigate various spatial density distributions. It is argued that, among the other topological quantities, the number of objects in the visual image of a spatial distribution gives us the most reliable conclusion about spatial pattern when it is required to distinguish between continuous and discontinuous (patchy) spatial structures. Furthermore, sensitivity of the pattern classification above to the definition of a monitoring protocol is discussed in the paper. Two basic properties of the monitoring protocol (i.e. the threshold density value and the number of sampling locations) are investigated and it is demonstrated how their variation affects correct reconstruction of spatial density pattern.

Original languageEnglish
Title of host publicationSEMA SIMAI Springer Series
PublisherSpringer Vieweg
Number of pages23
Publication statusPublished - 2020

Publication series

NameSEMA SIMAI Springer Series
ISSN (Print)2199-3041
ISSN (Electronic)2199-305X


  • Biological invasion
  • Patchy spread
  • Pattern recognition
  • Spatial pattern

ASJC Scopus subject areas

  • Computational Mechanics
  • Numerical Analysis
  • Agricultural and Biological Sciences (miscellaneous)
  • Physics and Astronomy (miscellaneous)
  • Fluid Flow and Transfer Processes
  • Computational Mathematics
  • Industrial and Manufacturing Engineering
  • Applied Mathematics


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