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• W2113174871 abstract "Geographical AnalysisVolume 12, Issue 3 p. 205-222 Free Access Properties of Gabriel Graphs Relevant to Geographic Variation Research and the Clustering of Points in the Plane David W. Matula, David W. Matula David W. Matula is professor of computer science, Southern Methodist University. Robert R. Sokal is professor of ecology and evolution, State University of New York at Stony Brook.Search for more papers by this authorRobert R. Sokal, Robert R. Sokal This study was supported in part by Grant No. DEB 77–04824 from the National Science Foundation. This article appears as Contribution No. 338, Graduate Program in Ecology and Evolution, State University of New York at Stony Brook. David W. Matula is professor of computer science, Southern Methodist University. Robert R. Sokal is professor of ecology and evolution, State University of New York at Stony Brook.Search for more papers by this author David W. Matula, David W. Matula David W. Matula is professor of computer science, Southern Methodist University. Robert R. Sokal is professor of ecology and evolution, State University of New York at Stony Brook.Search for more papers by this authorRobert R. Sokal, Robert R. Sokal This study was supported in part by Grant No. DEB 77–04824 from the National Science Foundation. This article appears as Contribution No. 338, Graduate Program in Ecology and Evolution, State University of New York at Stony Brook. David W. Matula is professor of computer science, Southern Methodist University. Robert R. Sokal is professor of ecology and evolution, State University of New York at Stony Brook.Search for more papers by this author First published: July 1980 https://doi.org/10.1111/j.1538-4632.1980.tb00031.xCitations: 215 This study was supported in part by Grant No. DEB 77–04824 from the National Science Foundation. This article appears as Contribution No. 338, Graduate Program in Ecology and Evolution, State University of New York at Stony Brook. AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinkedInRedditWechat LITERATURE CITED 1 Brassel, K. E., and D. Reif. “A Procedure to Generate Thiessen Polygons.” Geographical Analysis, 11 (1979), 289– 303. 2 Brown, L. A. “Models for Spatial Diffusion Research.” Technical Report 3. Office of Naval Research, Geogr. Branch, Task 389-140, 1965. 3 Bryant, E. H. “Morphometric Adaptation of the Housefly, Musca domestica L., in the United States.” Evolution, 31 (1977), 580– 96. 4 Cliff, A. D., and J. K. Ord. Spatial Autocorrelation. London: Pion, 1973. 5 Fischer, M. M. “Zur Lösung Funktionaler Regionaltaxonomischer Probleme auf der Basis von Interaktionsmatrizen: Ein Neuer Graphentheoretischer Ansatz.” Karlsruher Manuskripte zur Mathematischen und Theoretischen Wirtschafts-und Sozialgeographie. No. 25. Universität Karlsruhe, West Germany, 1978. 6 Gabriel, K. R., and R. R. Sokal. “A New Statistical Approach to Geographic Variation Analysis.” Systematic Zoology, 18 (1969), 259– 78. 7 Gower, J. C., and G. J. S. Ross. “Minimum Spanning Trees and Single Linkage Cluster Analysis.” Applied Statistician, 18 (1969), 54– 64. 8 Haggett, P., and R. J. Chorley. Network Analysis in Geography. New York: St. Martin's Press, 1969. 9 Harary, F. Graph Theory. Reading, Mass.: Addison-Wesley, 1969. 10 Highton, R. “Comparison of Microgeographic Variation in Morphological and Electrophoretic Traits.” In Evolutionary Biology Vol. 10, edited by M. K. Hecht, W. C. Steere, and B. Wallace, pp. 397– 436. New York: Plenum, 1977. 11 Howe, S. E. “Estimating Regions and Clustering Spatial Data: Analysis and Implementation of Methods Using the Voronoi Diagram.” Ph.D. dissertation, Brown University, Providence, 1978. 12 Jumars, P. A. “Spatial Autocorrelation with RUM (Remote Underwater Manipulator): Vertical and Horizontal Structure of a Bathyal Benthic Community.” Deep-Sea Research, 25 (1978), 589– 604. 13 Jumars, P. A., D. Thistle, and M. L. Jones. “Detecting Two-Dimensional Spatial Structure in Biological Data.” Oceologia, 28 (1977), 109– 37. 14 Kansky, K. J. “Structure of Transportation Networks.” Department of Geography Research Paper No. 84. University of Chicago, 1963. 15 Lankford, P. M. “Regionalization: Theory and Alternative Algorithms.” Geographical Analysis, 1 (1969), 196– 212. 16 Levin, D. A. “The Organization of Genetic Variability in Phlox drummondi.” Evolution, 31 (1977), 477– 94. 17 Ling, R. F. “On the Theory and Construction of k-Clusters.” Computer Journal, 15 (1972), 326– 32. 18 Mantel, N. “The Detection of Disease Clustering and a Generalized Regression Approach.” Cancer Research, 27 (1967), 209– 20. 19 Matula, D. W. “Graph Theoretic Techniques for Cluster Analysis Algorithms.” In Classification and Clustering, edited by J. Ryzin, pp. 95– 129. New York: Academic Press, 1977. 20 Roguet, B. “Graph Theory and Hierarchisation Models.” Regional and Urban Economics, 2 (1972), 263– 96. 21 Rohlf, F. J. “Hierarchical Clustering Using the Minimum Spanning Tree.” Computer Journal, 16 (1973), 93– 95. 22 Royaltey, H. H., E. Astrachan, and R. R. Sokal. “Tests for Patterns in Geographic Variation.” Geographical Analysis, 7 (1975), 369– 95. 23 Selander, R. K., and D. W. Kaufman. “Genetic Structure of Populations of the Brown Snail (Helix aspersa). I. Microgeographic Variation.” Evolution, 29 (1975), 385– 401. 24 Shamos, M. I., and D. Hoey. “Closest Point Problems.” Proceedings of the Sixteenth Annual Symposium on the Foundations of Computer Science, IEEE (1975), 151– 62. 25 Sneath, P. H. A., and R. R. Sokal. Numerical Taxonomy. San Francisco: Freeman, 1973. 26 Sokal, R. R. “Ecological Parameters Inferred from Spatial Autocorrelation Patterns.” In Contemporary Quantitative Ecology and Related Ecometrics, edited by G. P. Patil and M. L. Rosenzweig, pp. 167– 96. Fairland, Md.; International Co-operative Publishing House, 1979. 27 Sokal, R. R. “Testing Statistical Significance of Geographic Variation Patterns.” Systematic Zoology, 28 (1979), 227– 32. 28 Sokal, R. R., J. Bird, and B. Riska. “Geographic Variation in Pemphigus populicaulis (Insecta, Aphididae) in Eastern North America.” Biological Journal of the Linnean Society, in press, 1980. 29 Sokal, R. R., N. N. Heryford, and J. R. L. Kishpaugh. “Changes in Microgeographic Variation Patterns of Pemphigus populitransversus over a Six Year Span.” Evolution, 25 (1971), 584– 90. 30 Sokal, R. R., and P. Menozzi. “Spatial Autocorrelations of HLA Frequencies in Europe Support Demic Diffusion of Early Farmers.” Manuscript submitted to Science, 1980. 31 Sokal, R. R., and N. L. Oden. “Spatial Autocorrelation in Biology: 1. Methodology.” Biological Journal of the Linnean Society, 10 (1978), 199– 228. 32 Sokal, R. R., and N. L. Oden. “Spatial Autocorrelation in Biology: 2. Some Biological Implications and Four Applications of Evolutionary and Ecological Interest.” Biological Journal of the Linnean Society, 10 (1978), 229– 49. 33 Taylor, P. J. “The Location Variable in Taxonomy.” Geographical Analysis, 1 (1969), 181– 95. 34 Tobler, W. R. “Linear Operators Applied to Areal Data.” Display and Analysis of Spatial Data, edited by J. C. Davis and M. J. McCullagh, pp. 14– 37. New York: Wiley, 1975. 35 Väisänen, R. R. “Geographic Variation in Timing of Breeding and Egg Size in Eight European Species of Waders.” Annales Zoologicae Fennici, 14 (1977), 1– 25. Citing Literature Volume12, Issue3July 1980Pages 205-222 ReferencesRelatedInformation" @default.
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