On the misuse of regression in earth science

Abrahams, A. D., 1972, Environmental constraints on the substitution of space for time in the study of natural channel networks: Geol. Soc. America Bull., v. 83, no. 5, p. 1523–1530.

Brooks, C., Hart, S. R., and Wendt, I., 1972, Realistic use of two-error regression treatments as applied to rubidium-strontium data: Rev. Geophys. and Space Phys., v. 10, no. 2, p. 551–577.

Davies, O. L., and Goldsmith, P. L., 1972, Statistical methods in research and production: Hafner, New York, 478 p.

Dent, B. M., 1935, On observations of points connected by a linear relation: Proc. Physical Soc. London, v. 47, pt. 1, p. 92–108 (includes discussion by W. E. Deming).

Gardiner, V., 1973, Univariate distributional characteristics of some morphometric variables: Geografiska Ann., Ser. A, v. 54, no. 3/4, p. 147–154.

Hagy, J. E., 1974, A comparison of topographic maps and aerial photographs as sources of physical geographic measurements: unpubl. master's thesis, California State Univ., Fullerton, 51 p.

Kendall, M. G., 1961, A course in multivariate analysis (2nd ed.): Griffin, London, 185 p.

Kendall, M. G., and Stuart, A., 1965, The advanced theory of statistics, vol. 2: Hafner, New York, 678 p.

Kermack, K. A., and Haldane, J. B. S., 1950, Organic correlation and allometry: Biometrika, v. 37, nos. 1/2, p. 30–41.

Krumbein, W. C., and Shreve, R. L., 1970, Some statistical properties of dendritic channel networks: Dept. Geol. Sci., Northwestern Univ., ONR Geog. Br. Contract NONR-1228 (36), ONR Task No. 389-150, Tech. Rept. 13, and Univ. California at Los Angeles, Dept. Geology, NSF Grant GA-1137, Spec. Proj. Rept. 117 p.

Lindley, D. V., 1947, Regression lines and the linear functional relationship: Jour. Royal Stat. Soc, Suppl., v. 9, p. 218–244.

Mark, D. M., 1974, Line intersection method for estimating drainage density: Geology, v. 2, no. 5, p. 235–236.

McCoy, R. M., 1971, Rapid measurement of drainage density: Geol. Soc. America Bull., v. 82, no. 3, p. 757–762.

Melton, M. A., 1958a, List of sample parameters of quantitative properties of landforms: their use in determining the size of geomorphic experiments: Dept. Geology, Columbia Univ., ONR Project NR 389-042., Tech. Rept. No. 16, 17 p.

Melton, M. A., 1958b, Geometric properties of mature drainage systems and their representation in anE 4 phase space: Jour. Geology, v. 66, no. 1, p. 35–56.

Poole, M. A., and O'Farrell, P. N., 1971, The assumptions of the linear regression model: Inst. Brit. Geogr., Trans., No. 52, p. 145–158.

Shreve, R. L., 1967, Infinite topologically random channel networks: Jour. Geology, v. 75, no. 2, p. 179–186.

Shreve, R. L., 1975, The probabilistic-topologic approach to drainage-basin geomorphology: Geology, v. 3, no. 9, p. 527–529.

Smart, J. S., 1973, Environmental constraints on the substitution of space for time in the study of natural channel networks (Discussion): Geol. Soc. America Bull., v. 84, no. 1, p. 351–352.

Thompson, M. M., and Davey, C. H., 1953, Vertical accuracy of topographic maps: Surveying and Mapping, v. 13, no. 4, p. 40–45.

Till, R., 1973, The use of linear regression in geomorphology: Area, v. 5, no. 4, p. 303–308.

Wilcock, D. N., 1975, Relations between planimetric and hypsometric variables in third- and fourth-order drainage basins: Geol. Soc. America Bull., v. 86, no. 1, p. 47–50.