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Methods for description of distribution 
of species obtained by quadrant mapping 
Zbyněk Janoška 
www.geoinformatics.upol.cz
Quadrant mapping 
 Kartierung der Flora Mitteleuropas (KFME), Niklfeld, 
1971 
 Environmental mapping (biological) 
 CZ, SK, A, RO 
 Base level: 
 10 minutes longitude 
 6 minutes latitude 
www.geoinformatics.upol.cz
Data 
 Lepidoptera – daily butterflies 
 White Carpathians area (715 km2) 
 Data collection: 2004-05; 124 species; 20 000 
records 
 Incidence of species – T/F values 
 Locations checked multiple times (5-20) 
 Bias in data collection (towards accesible and 
enviromentaly rich locations) 
www.geoinformatics.upol.cz
Data 
www.geoinformatics.upol.cz
Data 
www.geoinformatics.upol.cz
Data 
www.geoinformatics.upol.cz
Data 
www.geoinformatics.upol.cz
Data 
www.geoinformatics.upol.cz
Aim of study 
 Propose descriptors of distribution 
 Clustering / regularity / randomness 
 Density 
 Dominance 
 Patches – continuously inhabited areas (Rook 
neighborhood) 
www.geoinformatics.upol.cz
Descriptors of shape 
 Moran's Index (Moran, 1950) 
 Bias – not suitable 
www.geoinformatics.upol.cz
Dominance 
 DI1 = Size of largest patch / Size of second largest 
patch 
 DI2 = Size of largest patch / Size of inhabited area 
www.geoinformatics.upol.cz
Dominance 
www.geoinformatics.upol.cz
Density 
 Typicaly: Occupied area / Total area 
 In this case: total area same for all species 
 Modification: Occupied area / Homerange 
 Homerange = Minimal Convex Polygon 
www.geoinformatics.upol.cz
Coverage 
 Percentage of patches needed to cover X % of area 
Number of patches 
 (Self-explanatory) 
www.geoinformatics.upol.cz
Results 
 Descriptors partially correlated 
 Suitable for comparisson of pairs of distribution 
 Given data quality, should be used with caution 
 All calculations can be automatized → data mining 
tool 
www.geoinformatics.upol.cz
Further analysis 
 Transformation, standardization, outlier detection 
 Dimension reduction (PCA, Correspondence 
Analysis) 
 Clustering of data 
www.geoinformatics.upol.cz
Literature 
 MORAN, P. A. P. (1950). Notes on Continuous 
Stochastic Phenomena. Biometrika 37(1) 17-23. 
 NIKLFELD, H. (1971). Bericht über die Kartierung der 
Flora Mitteleuropas. Taxon 20(4) 545-571 
www.geoinformatics.upol.cz

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Janoska - Methods for Description of Distribution of Species Obtained by Quadrant Mapping

  • 1. Methods for description of distribution of species obtained by quadrant mapping Zbyněk Janoška www.geoinformatics.upol.cz
  • 2. Quadrant mapping  Kartierung der Flora Mitteleuropas (KFME), Niklfeld, 1971  Environmental mapping (biological)  CZ, SK, A, RO  Base level:  10 minutes longitude  6 minutes latitude www.geoinformatics.upol.cz
  • 3. Data  Lepidoptera – daily butterflies  White Carpathians area (715 km2)  Data collection: 2004-05; 124 species; 20 000 records  Incidence of species – T/F values  Locations checked multiple times (5-20)  Bias in data collection (towards accesible and enviromentaly rich locations) www.geoinformatics.upol.cz
  • 9. Aim of study  Propose descriptors of distribution  Clustering / regularity / randomness  Density  Dominance  Patches – continuously inhabited areas (Rook neighborhood) www.geoinformatics.upol.cz
  • 10. Descriptors of shape  Moran's Index (Moran, 1950)  Bias – not suitable www.geoinformatics.upol.cz
  • 11. Dominance  DI1 = Size of largest patch / Size of second largest patch  DI2 = Size of largest patch / Size of inhabited area www.geoinformatics.upol.cz
  • 13. Density  Typicaly: Occupied area / Total area  In this case: total area same for all species  Modification: Occupied area / Homerange  Homerange = Minimal Convex Polygon www.geoinformatics.upol.cz
  • 14. Coverage  Percentage of patches needed to cover X % of area Number of patches  (Self-explanatory) www.geoinformatics.upol.cz
  • 15. Results  Descriptors partially correlated  Suitable for comparisson of pairs of distribution  Given data quality, should be used with caution  All calculations can be automatized → data mining tool www.geoinformatics.upol.cz
  • 16. Further analysis  Transformation, standardization, outlier detection  Dimension reduction (PCA, Correspondence Analysis)  Clustering of data www.geoinformatics.upol.cz
  • 17. Literature  MORAN, P. A. P. (1950). Notes on Continuous Stochastic Phenomena. Biometrika 37(1) 17-23.  NIKLFELD, H. (1971). Bericht über die Kartierung der Flora Mitteleuropas. Taxon 20(4) 545-571 www.geoinformatics.upol.cz