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The spectrum of U.S. 40

  • Spatial Structure
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References

  1. Agterberg, F. “Computer Techniques in Geology,”Earth Science Reviews, III (1967), pp. 47–77.

    Google Scholar 

  2. Bartlett, M. S. “The Spectral Analysis of Two-Dimensional Point Processes,”Biometrika, No. 51, III (1964), pp. 299–311.

    Google Scholar 

  3. Bendat, J. S. and A. G. Piersol.Measurement and Analysis of Random Data. New York: John Wiley & Sons, Inc., 1966.

    Google Scholar 

  4. Blackman, R. and J. Tukey.The Measurement of Power Spectra. New York: Dover Publications, Inc., 1959.

    Google Scholar 

  5. Christaller, W.Central Places in Southern Germany, Baskin translation. Englewood Cliffs. New Jersey: Prentice Hall, Inc., 1966.

    Google Scholar 

  6. Clark, C. “Urban Population Densities,”Journal of the Royal Statistical Society, B CXIV (1951), pp. 490–496.

    Google Scholar 

  7. Dacey, M. F. “The Geometry of Central Place Theory,”Geografiska Annaler, B. No. 2, XLVII (1965), pp. 111–124.

    Google Scholar 

  8. Epstein, E. S. and J. A. Leese. “Application of Two-Dimensional Spectral Analysis to the Quantification of Satellite Cloud Photographs,”Journal of Applied Meteorology, II (1963), pp. 629–644.

    Google Scholar 

  9. Granger, C. “The Typical Spectral Shape of an Economic Variable,”Econometrica, No. 1, XXXIV (1966), pp. 150–161.

    Google Scholar 

  10. Jenkins, G. M. and D. G. Watts.Spectral Analysis and its Applications. San Francisco: Holden-Day, 1968.

    Google Scholar 

  11. Karreman, H. F. “Computer Programs for Spectral Analysis of Economic Time Series,” Research Memorandum No. 59, Econometric Research Program, Princeton University, July, 1963.

  12. Nordbeck, S. “The Law of Allometric Growth”, Michigan Inter-University Community of Mathematical Geographers Paper No. 7, 1965, p. 16. (Available through University Microfilms as OP-33067.)

  13. Sherrat, G. G. “A Model for General Urban Growth,”Management Sciences: Models and Techniques, II (1960), pp. 147–159.

    Google Scholar 

  14. Tobler, W. R. “Spectral Analysis of Spatial Series,”Proceedings Fourth Annual Conference on Urban Planning Information Systems and Programs, University of California, Berkeley, 1966, pp. 179-186.

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This study was supported by National Science Foundation grant GS-1082. The data were assembled by G. Aspbury; M. Landman and F. Rens performed the programming and required computations in conjunction with the University of Michigan Computing Center.

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Tobler, W.R. The spectrum of U.S. 40. Papers of the Regional Science Association 23, 45–52 (1969). https://doi.org/10.1007/BF01941871

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