Abstract
A digital model for discretizing three‐dimensional terrain into small irregularly shaped polygons or elements based on contour lines and their orthogonals is described. From this subdivision the model estimates a number of topographic attributes for each element including the total upslope contributing area, element area, slope, and aspect. This form of discretization of a catchment produces natural units for problems involving water flow as either a surface or subsurface flow phenomenon. The model therefore has wide potential application for representing the three‐dimensionality of natural terrain and water flow processes in the fields of hydrology, sedimentology, and geomorphology. Three example applications are presented and discussed. They are the prediction of zones of surface saturation, the prediction of the distribution of potential daily solar radiation, and the prediction of zones of erosion and deposition in a catchment.
Keywords: Three‐dimensional, Digital terrain models, Water flow, Saturation zones, Solar radiation, Erosion, Deposition
References
- Ahnert, F. 1976, ‘Brief description of a comprehensive three‐dimensional process‐response model of landform development’, Zeitschrift für Geomorpholog, N. F., Supplement, 25, 29–49. [Google Scholar]
- Alonso, C. V. , Neibling, W. H. , and Foster, G. R. 1981. ‘Estimating sediment transport capacity in watershed modelling’, Transactions of American Society of Agricultural Engineers, 24, 1211–1220, 1226. [Google Scholar]
- Armstrong, A. 1976. ‘A three‐dimensional simulation of slope forms’, Zeitschrift für Geomorpholog, N.F., Supplement, 25, 20–28. [Google Scholar]
- Austin, M. P. , Cunningham, R. B. , and Good, R. B. 1983. ‘Altitudinal distribution of several eucalypt species in relation to other environmental factors in southern New South Wales’, Australian Journal of Ecology, 8, 169–180. [Google Scholar]
- Band, L. E. 1986. ‘Topographic partitioning of waterhseds with digital elevation models’, Water Resources Research, 22, 15–24. [Google Scholar]
- Beasley, D. B. , Huggins, L. F. , and Monke, E. J. 1980. ‘ANSWERS: a model for watershed planning’, Transactions of American Society of Agricultural Engineers, 23, 938–944. [Google Scholar]
- Beven, K. and Kirkby, M. J. 1979. ‘A physically based variable contributing area model of basin hydrology’, Hydrological Sciences Bulletin, 24, 43–69. [Google Scholar]
- Binns, D. 1984. ‘Vegetation studies’, in Eden Catchment Project, 1984 Review, Forestry Commission of N.S.W., Miscellaneous Paper, 16–34.
- Bridges, R. G. 1983. ‘Integrated logging and regeneration in the silvertop ash‐stringybark forests of the Eden region’, Forestry Commission of N.S.W., Research Paper No. 2.
- Budyko, M. I. 1974. Climate and Life, Academic Press, New York, 508 pp. [Google Scholar]
- Burch, G. J. , Bath, R. K. , Moore, I. D. , and O'Loughlin, E. M. 1987. ‘Comparative hydrologic behaviour of forested and cleared catchments in southeastern Australia’, Journal of Hydrology, 90, 19–42. [Google Scholar]
- Clerici, D. 1980. ‘A method for drawing slope maps by automatic data acquisition and processing’, Computers and Geosciences, 6, 289–297. [Google Scholar]
- Gilley, J. E. , Woolhiser, D. A. , and McWhorter, D. B. 1985. ‘Interill soil erosion—Part 1: development of model equations’, Transactions of American Society of Agricultural Engineers, 28, 147–153, 159. [Google Scholar]
- Hall, J. K. 1975. ‘PTLOC—A FORTRAN subroutine for determining the position of a point relative to a closed boundary’, Mathematical Geology, 7, 75–79. [Google Scholar]
- Heerdegen, R. G. and Beran, M. A. 1982. ‘Quantifying source areas through land surface curvature and shape’, J. Hydrol., 57, 359–373. [Google Scholar]
- Henderson, F. M. 1966. Open Channel Flow, Macmillan, New York, 90–101. [Google Scholar]
- Hewlett, J. D. and Nutter, W. L. 1970. The varying source area of streamflow from upland basins, paper presented at the Symp. on Interdisciplinary Aspects of Watershed Management, Montana State Univ., Bozeman, Mont.
- Hirano, M. 1976. ‘Mathematical model and concept of equilibrium in connection with slope shear ratio’, Zeitschrift für Geomorpholog, N.F., Supplement, 25, 50–71. [Google Scholar]
- Hutchinson, M. F. 1981. ‘MAPROJ—a computer map projection system’, CSIRO Division of Land Use Researcn, Tech. Paper No. 39,
- Hutchinson, M. F. 1984. ‘A summary of some surface fitting and contouring programs for noisy data’, CSIRO Div, Maths, and Stats, Consulting Report 84/6.
- Lee, R. 1978. Forest Microclimatology, Columbia Univ. Press, New York, 33–84. [Google Scholar]
- Linsley Jr., R. K. , Kohler, M. A. , and Paulus, J. L. H. 1949. Applied Hydrology, McGraw‐Hill, New York, 252 pp. [Google Scholar]
- Mackay, S. M. and Cornish, P. M. 1982. ‘Effect of wildfire and logging on the hydrology of small catchments near Eden. N.S.W.’, The First National Symposium on Forest Hydrology, Inst. Eng., Aust. Natl. Conf. Publ. No. 82 6. 111–117. [Google Scholar]
- Mark, D. M. 1978. ‘Concepts of “data structure” for digital terrain models’, Proc. Digital Terrain Models (DTM) Symposium, St. Louis, Missouri, May 1978, 24–31.
- Moore, I. D. and Burch, G. J. 1986a. ‘Sediment transport capacity of sheet and rill flow: Application of unit stream power theory’, Water Resources Research, 22, 8 1350–1360. [Google Scholar]
- Moore, I. D. and Burch, G. J. 1986b. ‘Modelling erosion and deposition: topographic effects’, Transactions of American Society of Agricultural Engineers, 29, 6 1624–1630, 1640. [Google Scholar]
- Moore, I. D. , Mackay, S. M. , Wallbrink, P. J. , Burch, G. J. , and O'Loughlin, E. M. 1986. ‘Hydrologic characteristics and modelling of a small forested catchment in southeastern New South Wales. Pre‐logging condition’, Journal of Hydrology, 83, 307–335. [Google Scholar]
- Mulla, D. J. 1986. ‘Distribution of slope steepness in the Palouse region of Washington’, Soil Sci. Soc. Am. J., 50, 6 1401–1406. [Google Scholar]
- O' Callaghan, J. F. and Mark, D. M. 1984. ‘The extraction of drainage networks from digital elevation data’, Computer Vision Graphics and Image Processing, 28, 323–344. [Google Scholar]
- O'Loughlin, E. M. 1981. ‘Saturation regions in catchments and their relations to soil and topographic properties’, Journal of Hydrology, 53, 229–246. [Google Scholar]
- O'Loughlin, E. M. 1986. ‘Prediction of surface saturation zones in natural catchments by topographic analysis’, Water Resources Research, 22, 5 794–804. [Google Scholar]
- O'Loughlin, E. M. in press. ‘WETZONE: A computer system for topographic analysis of landscapes for hydrologic applications’, CSIRO Div. Water and Land Resour. Tech. Memo.
- Robinson, N. 1966. Solar Radiation, Elsevier, New York, 29–160. [Google Scholar]
- Rose, C. W. , Williams, J. R. , Sander, G. C. , and Barry, D. A. 1983. ‘A mathematical model of soil erosion and deposition processes: I. Theory for a plane land element’, Soil Science Society of America Journal, 47, 5 991–995. [Google Scholar]
- Sharpnack, D. A. and Akin, G. 1969. ‘An algorithm for computing slope and aspect from elevations’, Photogramm. Eng., 35, 247–268. [Google Scholar]
- Tajchman, S. J. and Lacey, C. J. 1986. ‘Bioclimatic factors in forest site potential’, Forest Ecology and Management, 14, 211–218. [Google Scholar]
- Travis, M. R. , Elsnes, G. H. , Iverson, W. D. , and Johnson, C. G. 1975. ‘VIEWIT: Computation of seen areas, slope and aspect for land use planning’, Pacific Southwest Forest and Range Experiment Station, USDA For. Ser. Gen. Tech. Rep., PSW‐11, 1–70. [Google Scholar]
- Yang, C. T. 1973. ‘Incipient motion and sediment transport’, Proceedings of the American Society of Civil Engineering, Journal of Hydraulics Division, 99, HY10, 1679–1704. [Google Scholar]
- Zaslavsky, D. and Sinai, G. 1981. ‘Surface hydrology: I. Explanation of phenomena, II. Distribution of raindrops, III. Causes of lateral flow, IV. Flow in sloping layered soil, V. In‐surface transient flow’, Proceedings of the American Society of Civil Engineering, Journal of Hydraulics Division, HY1, 1–93. [Google Scholar]
