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Evaluation of Zone Orderings Based on the Correlation of Order Differences and Distances
Author(s) -
Ohsawa Yoshiaki,
Koshizuka Takeshi
Publication year - 2000
Publication title -
geographical analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.773
H-Index - 65
eISSN - 1538-4632
pISSN - 0016-7363
DOI - 10.1111/j.1538-4632.2000.tb00423.x
Subject(s) - mathematics , euclidean distance , order (exchange) , space (punctuation) , correlation , sensitivity (control systems) , magnitude (astronomy) , statistics , euclidean space , geometry , statistical physics , combinatorics , computer science , physics , finance , astronomy , electronic engineering , engineering , economics , operating system
When two‐dimensional zones are arranged into one‐dimensional tables, spatial characteristics on the original space should be preserved as much as possible. In this respect, we evaluate nine systematically generated zone orderings based on the magnitude of the Pearson's correlations of the order differences and the Euclidean distances. We show that standard row order is the best. The sensitivity of the shape and size of the study area, the critical distance, and the level of zonal aggregation are also examined.