On size and scale in geomorphology

Abstract

Get full access to this article

View all access options for this article.

References

Brune, G.M. 1948: Rates of sediment production in midwestern United States . United States Department of Agriculture, Soil Conservation Service, Technical Publication 65. (40 pp.)

Bryce, R.C. 1975: Sediment routing with sediment delivery ratios . United States Department of Agriculture, Agricultural Research Service, Report ARS-S-40, 61-65.

Bull, W.B. 1964: Geomorphology of segmented alluvial fans in western Fresno County, California. United States Geological Survey , Professional Paper 352E, 89-129.

1975: Allometric change of landforms. Geological Society of America Bulletin 86, 1489-98.

Church, M. 1980: Records of recent geomorphological events. In Cullingford, R. A. , Davidson, D. A. and Lewin, J. , editors, Timescales in geomorphology, Chichester : John Wiley, 13-29.

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

Dacey, M.F. and Krumbein, W.C. 1976: Three growth models for stream channel networks . Journal of Geology 84, 153-63.

Day. T.J. 1969: The channel geometry of mountain streams. University of British Columbia, unpublished MA Thesis (59 pp.)

Day, T.J. 1972: The channel geometry of mountain streams. In Slaymaker, H. O. and McPherson, H. J. , editors, Mountain geomorphology, British Columbia Geographical Series 14, Vancouver: Tantalus Research, 141-50.

10.

Denny, C.S. 1965: Alluvial fans in the Death Valley region, California and Nevada. United States Geological Survey, Professional Paper 466. (62 pp.)

11.

Eckis, R. 1928: Alluvial fans in the Cucamonga district, southern California . Journal of Geology 36, 224-47.

12.

Ezekial, M. and Fox, K.A. 1959: Methods of correlation and regression analysis , third edition. New York : John Wiley.

13.

Gardiner, V. 1973: Univariate distribution characteristics of some morphometric variables. Geografiska Annaler 54A, 147-54.

14.

Gould, S.J. 1966: Allometry and size in ontogeny and phylogeny. Biological Review 41, 587-640.

15.

Gray, D.M. 1961: Interrelationships of watershed characteristics . Journal of Geophysical Research 66, 1215-23.

16.

Gregory, K.J. and Walling, D.E. 1973: Drainage basin form and process. London : Edward Arnold.

17.

Hack, J.T. 1957: Studies of longitudinal stream profiles in Virginia and Maryland. United States Geological Survey, Professional Paper 294B, 45-94.

18.

Hooke, R. LeB. 1968: Steady-state relationships on arid-region alluvial fans in closed basins. American Journal of Science 266, 609-629.

19.

1972: Geomorphic evidence for late Wisconsin and Holocene tectonic deformation, Death Valley, California. Geological Society of America Bulletin 85, 2073-98

20.

Hooke, R. LeB. and Rohrer, W.L. 1977: Relative erodibility of source-area rock types, as determined from second-order variations in alluvial-fan size. Geological Society of America Bulletin 88, 1177-82.

21.

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.

22.

Keeble, A.B. 1971: The geomorphology of alluvial fans near Aklavik, NWT. University of Alberta, unpublished MSc thesis. (87 pp.)

23.

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

24.

Kennedy, B.A. 1977: A question of scale? Progress in Physical Geography 1, 154-57.

25.

Krumbein, W.C. and Shreve, R.L. 1970: Some statistical properties of dendritic channel networks . United States Office of Naval Research, Geography Branch , Contract Nonr-1228(36), ONR Task no. 389-150, Northwestern University, Department of Geological Science, Report 13, and National Science Foundation Grant GA-1137, University of California , Los Angeles, Department of Geology, Special Project Report. (117 pp.)

26.

Langbein, W.B. et al. 1947: Topographic characteristics of drainage basins . United States Geological Survey, Water Supply Paper 968C. (155 pp.)

27.

Legget, R.F. , Brown, R.J.E. and Johnston, G.H. 1966: Alluvial fan formation near Aklavik; NWT, Canada . Geological Society of America Bulletin 77,15-30.

28.

Leopold, L.B. and Maddock, T. Jr1953: The hydraulic geometry of stream channels and some physiographic implications. United States Geological Survey Professional Paper 252. (56 pp.)

29.

Leopold, L.B. , Wolman, M.G. and Miller, J.P. 1964: Fluvial processes in geomorphology. San Francisco: Freeman. (522 pp.)

30.

Lindley, D.V. 1947: Regression lines and the linear functional relationship . Journal of the Royal Statistical Society, Supplement 9, 218-44.

31.

Mackin, J.H. 1963: Rational and empirical methods of investigation in geology . In Albritton, C. C. , editor, The fabric of geology, Stanford, California : Freeman, Cooper, 135-63.

32.

Mandelbrot, B.B. 1967: How long is the coast of Britain? Statistical self-similarity and fractional dimension. Science 155, 636-38.

33.

1977 : Fractals: form, chance and dimension. San Francisco: W. H. Freeman.

34.

Mark, D.M. 1974: Line intersection method for estimating drainage density . Geology 2, 235-36.

35.

1975: Geomorphometric parameters: a review and evaluation. Geografiska Annaler 57A, 165-78.

36.

Mark, D.M. and Church, M. 1977: On the misuse of regression in earth science. Mathematical Geology 9, 63-75.

37.

Melton, M.A. 1958: Geometric properties of mature drainage systems and their representation in an E4 phase space. Journal of Geology 66, 35-56.

38.

1965: The geomorphic and paleoclimatic significance of alluvial deposits in southern Arizona. Journal of Geology 73, 1-38.

39.

Miller, J.P. 1958: High mountain streams; effect of geology on channel characteristics and bed material. New Mexico, State Bureau of Mines and Mineral Resources, Memoir 4. (53 pp.)

40.

Mosley, M.P. and Parker, R.S. 1972: Allometric growth: a useful concept in geomorphology? Geological Society of America Bulletin 83, 3669-74.

41.

1973: Re-evaluation of the relationship of master streams and drainage basins (by J. E. Mueller): discussion. Geological Society of America Bulletin 84, 3123-26.

42.

Mueller, J.E. 1972: Re-evaluation of the relationship of master streams and drainage basins. Geological Society of America Bulletin 83, 3471-74.

43.

1973: Re-evaluation of the relationship of master streams and drainage basins: reply (to discussion by M. P. Mosley and R. S. Parker). Geological Society of America Bulletin 84, 3127-30.

44.

Palacios y Martinez, J. 1964: Dimensional analysis. London : Macmillan.

45.

Park, C.C. 1978: Allometric analysis and stream channel morphometry . Geographical Analysis 10, 211-28.

46.

Pethick, J.S. 1975: A note on the drainage density-basin area relationship . Area 7, 217-22.

47.

Potter, P.E. 1978: Significance and origin of big rivers. Journal of Geology 86, 13-33.

48.

Ruhe, R.V. 1952: Topographic discontinuities of the Des Moines lobe . American Journal of Science 250, 46-56.

49.

Ryder, J.M. 1971a: Some aspects of the morphometry of paraglacial alluvial fans in south-central British Columbia. Canadian Journal of Earth Sciences 8, 1252-64. 1971b: The stratigraphy and morphology of paraglacial alluvial fans in south-central British Columbia. Canadian Journal of Earth Sciences 8, 279-98.

50.

Schumm, S.A. and Lichty, R.W. 1965: Time, space and causality in geomorphology. American Journal of Science 263, 110-19.

51.

Schreve, R.L. 1967: Infinite, topologically random channel networks . Journal of Geology 75, 179-86.

52.

1969: Stream lengths and basin areas in topologically random channel networks. Journal of Geology 77, 397-414.

53.

1974: Variation of mainstream length with basin area in river networks. Water Resources Research 10, 1167-77.

54.

1975: The probabilistic-topologic approach to drainage-basin geomorphology. Geology 3, 527-29.

55.

Smart, J.S. 1972: Quantitative characterization of channel network structure . Water Resources Research 8, 1487-96.

56.

Smart, J.S. and Surkan, A.J. 1967: The relation between mainstream length and area in drainage basins. Water Resources Research 3, 963-74.

57.

Strahler, A.N. 1958: Dimensional analysis applied to fluvially eroded landforms . Geological Society of America Bulletin 69, 279-300.

58.

Strand, R.I. 1975: Bureau of Reclamation procedures for predicting sediment yield. United States Department of Agriculture , Agricultural Research Service, Report ARS-s-40, 10-15.

59.

Thewlis, J. , editor, 1961: Encyclopaedic dictionary of physics, volume 1. Oxford: Pergamon.

60.

Woldenberg, M.J. 1966: Horton's laws justified in terms of allometric growth and steady state in open systems. Geological Society of America Bulletin 77, 431-34.

61.

Wood, W.F. and Snell, J.B. 1957: The dispersion of geomorphic data around measures of central tendency and its applications. Natick Massachusetts: United States Army Quartermaster Research and Development Center, Research Study Report GA-8. (204 pp.)