Geographical AnalysisVolume 15, Issue 2 p. 87-96 Free Access Optimal Angular Geometry Models of River Branching Andre G. Roy, Andre G. Roy Andre G. Roy is postdoctoral fellow in geography, University of Montreal. I would like to thank Michael Woldenberg for stimulating my interest in this topic and for his helpful suggestions on earlier drafts of this paper.Search for more papers by this author Andre G. Roy, Andre G. Roy Andre G. Roy is postdoctoral fellow in geography, University of Montreal. I would like to thank Michael Woldenberg for stimulating my interest in this topic and for his helpful suggestions on earlier drafts of this paper.Search for more papers by this author First published: April 1983 https://doi.org/10.1111/j.1538-4632.1983.tb00771.xCitations: 26 Andre G. Roy is postdoctoral fellow in geography, University of Montreal. I would like to thank Michael Woldenberg for stimulating my interest in this topic and for his helpful suggestions on earlier drafts of this paper. 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 Hess, W. R. (1903). “Eine Mechanisch be dingte Gesetzmässigkeit in Bau des Blutgefässystems. Archiv für Entwicklungs-Mechanik, 16, 632. Horton, R. E. (1926). “On Flood Characteristics. Transactions of American Society of Civil Engineers, 89, 1081– 86. Horton, R. E. (1932). “Drainage Basin Characteristics. Transactions of the American Geophysical Union, 13, 350– 61. Horton, R. E. (1945). “Erosional Development of Streams and Their Drainage Basins, Hydrophysical Approach to Quantitative Morphology. Geological Society of America Bulletin, 56, 275– 370. Howard, A. D. (1971). “Optimal Angles of Stream Junction: Geometric Stability to Capture, and Minimum Power Criteria. Water Resources Research, 7, 863– 73. Leopold, L. B., and T. J. Maddock (1953). “The Hydraulic Geometry of Stream Channels and Some Physiographic Implications. U.S.G.S. Professional Paper, 252, 53 pp. Leopold, L. B., M. G. Wolman, and J. P. Miller (1964). Fluvial Processes in Geomorphology. San Francisco: Freeman. Lubowe, J. R. (1964). “Stream Junction Angles in the Dendritic Drainage Patterns. American Journal of Science, 262, 325– 39. Murray, C. D. (1926). “The Physiological Principle of Minimum Work Applied to the Angle of Branching of Arteries. Journal of General Physiology, 9, 835– 41. Pieri, D. C. (1979). Geomorphology of Martian Valleys. Ph.D. dissertation, Cornell University, 280 pp. Playfair, J. (1802). Illustrations of the Huttonian Theory of the Earth. Edinburgh. Rosen, R. (1967). Optimality Principles in Biology. New York: Butterworths Mathematical texts. Roy, A. G. (1982). Optimality and Its Relationship to the Hydraulic and Angular Geometry of Rivers and Lungs. Ph.D. dissertation, State University of New York at Buffalo. Roy, A. G., and M. J. Woldenberg (1982). “A Generalization of the Optimal Models of Arterial Branching. Bulletin of Mathematical Biology, 44, 349– 60. Schumm, S. A. (1956). “Evolution of Drainage Systems and Slopes in Badlands at Perth Amboy, New Jersey. Geological Society of America Bulletin, 67, 597– 646. Weber, A. (1929). Theory of the Location of Industries. New York: Russell and Russell. Wesolowsky, G. O. (1973). “Location in Continuous Space. Geographical Analysis, 5, 95– 112. Zamir, M. (1976). “Optimality Principles in Arterial Branching. Journal of Theoretical Biology, 62, 227– 51. Zernitz, E. R. (1932). “Drainage Patterns and Their Significance. Journal of Geology, 40, 498– 521. Citing Literature Volume15, Issue2April 1983Pages 87-96 ReferencesRelatedInformation