Distance, Direction, and Entropy in the Evolution of a Settlement Pattern

Literature Cited

• Brooks, C. E. P., and N. Carruthers. Handbook of Statistical Methods in Meteorology. London: N. M. Stationery Office, 1953.
   Google Scholar
• Chapman, G. P. “The Application of Information Theory to the Analysis of Population Distributions in Space,” Economic Geography (Supplement), (June, 1970), pp. 317–31.
   Google Scholar
• Christaller, W. Central Places in Southern Germany (translated from “Die zentralen Orte in Suddeutschland,” by Carlisle W. Baskin). Englewood Cliffs: Prentice-Hall Inc., 1966.
   Google Scholar
• Clark, P. J. and F. C. Evans. “Distance to Nearest Neighbor as a Measure of Spatial Relationships in Populations,” Ecology, Vol. 35 (1954), pp. 445–53.
   Web of Science ®Google Scholar
• Conrad, V. A. Methods in Climatology. Cambridge, Mass.: The M.I.T. Press, 1946.
   Google Scholar
• Curray, J. R. “The Analysis of Two Dimensional Orientation Data,” Journal of Geology, Vol. 64 (1956), pp. 117–31.
   Web of Science ®Google Scholar
• Dyck, H. D. and W. A. Matice. “A Study of Excessive Rainfalls,” Monthly Weather Review, Vol. 49 (1941), pp. 292–302.
   Google Scholar
• Forrest, J. S. “Variations in Thunderstorm Severity in Great Britain,” Quarterly Journal of the Royal Meteorological Society, Vol. 76 (1950), pp. 277–86.
   Web of Science ®Google Scholar
• Greenwood, J. A. and D. Durand. “The Distribution of Length and Components of the Sum of n Random Unit Vectors,” Annals of Mathematical Statistics, Vol. 26, No. 2 (June, 1972).
   Google Scholar
• Gumbel, E. J., J. A. Greenwood, and D. Durand. “The Circular Normal Distribution Theory and Tables,” American Statistical Association Journal, Vol. 48 (March, 1953), pp. 131–52.
   Web of Science ®Google Scholar
• Jizba, Z. “Discussion: Mean and Standard Deviation of Certain Geologic Data,” American Journal of Science, Vol. 251 (1953), pp. 889–906.
   Google Scholar
• Lenz, R. D. “An Information Theoretic Approach to Urban Crime Studies: A Preliminary Report.” New Brunswick, New Jersey: Department of Geography, Rutgers University (unpublished research paper), 1972.
   Google Scholar
• Jones, T. A. Estimation and Testing Procedures for Circular Normally Distributed Data, Office of Naval Research, Geography Branch, Technical Report No. 3, ONR Task No. 388–078, 1967.
   Google Scholar
• Leighly, J. B. “Graphic Studies in Climatology: The Polar Form of Diagram in the Plotting of the Annual Climatic Cycle,” University of California Publications in Geography (Berkeley), No. 2 (1928), pp. 387–407.
   Google Scholar
• Lösch, A. The Economics of Location. New Haven: Yale University Press, 1954.
   Google Scholar
• Medvedkov, Y. V. “The Concept of Entropy in Settlement Pattern Analysis,” Regional Science Association: Papers, Vol. 18, European Congress, Vienna (1966), pp. 165–68.
   Google Scholar
• Medvedkov, Y. V. “The Regular Component in Settlement Patterns as Shown on a Map,” Soviet Geography: Review and Translation, Vol. 8, No. 3 (March, 1967), pp. 150–68.
   Google Scholar
• Pincus, H. J. “Some Vector and Arithmetic Operations on Two-Dimensional Orientation Variates, with Application to Geologic Data,” Journal of Geology, Vol. 64 (1956), pp. 533–57.
   Web of Science ®Google Scholar
• Rayner, J. N., R. G. Golledge, and S. S. Collins, Jr. “Spectral Analysis of Settlement Patterns,” Research Foundation Project 2916 (N.S.F. GS-2781): The Ohio State University, Columbus, Ohio (October, 1971).
   Google Scholar
• Semple, R. K. and R. G. Golledge. “An Analysis of Entropy Changes in a Settlement Pattern Over Time,” Economic Geography, Vol. 46 (April, 1970), pp. 157–60.
   Web of Science ®Google Scholar
• Shannon, C. E. and W. Weaver. The Mathematical Theory of Communication. Urbana: University of Illinois Press, 1949.
   Google Scholar
• Steinmetz, R. “Analysis of Vectorial Data,” Journal of Sedimentary Petrology, Vol. 32 (1962), pp. 801–12.
   Google Scholar
• Stephens, M. A. “Exact and Approximate Tests for Directions, I,” Biometrika, Vol. 49, No. 3 (1962), pp. 468 and 474.
   Google Scholar
• Taaffe, E. L. and H. J. Gauthier, Jr. Geography of Transportation. Englewood Cliffs, New Jersey: Prentice-Hall, Inc., 1973, p. 106.
   Google Scholar
• von Mises, R. “Uber die ‘Ganzzahligkeit’ der Atomgewiche und verwandte Fragen,” Physikalische Zeitschrift, 19 (1918), pp. 490–500.
   Google Scholar
• Watson, G. S. and E. Irving. “Statistical Methods in Rock Magnetism,” Monthly Notices, Royal Astronomical Society, Geographical Supplement, No. 7 (1956), pp. 289–300.
   Google Scholar