Practical Land Grading Based on Least Squares
Publication: Journal of Irrigation and Drainage Engineering
Volume 112, Issue 2
Abstract
Practical methods for land grading design of a plane surface for rectangular and irregularly shaped fields based on a least squares analysis are presented. The least squares procedure leads to a system of three linear equations with three unknowns for determination of the best‐fit plane. The equations can be solved by determinants (Cramer's rule) using a procedure capable of solution by many programmable calculators. The detailed computational process for determining the equation of the plane and a simple method to find the centroid location of an irregular field are also given. An illustrative example and design instructions are included to demonstrate the application of the design procedure.
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References
1.
Butler, E. D., “The Land Leveling Program in the Arkansas Delta,” Agricultural Engineering, Vol. 42, No. 3, Mar., 1961, pp. 128–131.
2.
Chugg, G. E., “Calculations for Lang Gradation,” Agricultural Engineering, Vol. 28, No. 10, Oct., 1947, pp. 461–463.
3.
Givan, C. V., “Land Grading Calculations,” Agricultural Engineering, Vol. 21, No. 1, Jan., 1940, pp. 11–12.
4.
Manela, M., “Construcao de pianos geometricos em sistematizacao de solos pelo metodo dos minimos quadrados generalizados,” Irrigacao e Tecnologia Moderna, Vol. 10, 1983, pp. 32–34, 36–37.
5.
Marr, J. C., “Grading Land for Surface Irrigation,” Division of Agricultural Sciences, Univ. of California, Circular 438, 1957, 55 pp.
6.
Raju, V. S., “Land Grading for Irrigation,” Transactions of the American Society of Agricultural Engineers, Vol. 3, No. 1, Jan.–Feb., 1960.
7.
Shih, S. F., and Kriz, G. J., “Comparison of Types and Methods of Land Forming Design,” Transactions of the American Society of Agricultural Engineers, Vol. 14, No. 5, Sept.–Oct., 1971, pp. 990–994.
8.
Shih, S. F., and Kriz, G. J., “Symmetrical Residuals Method for Land Forming Design,” Transactions of the American Society of Agricultural Engineers, Vol. 14, No. 6, Nov.–Dec., 1971, pp. 1195–1200.
9.
Shih, S. F., Kriz, G. J., and Sowell, R. S., “Land Forming Design for Non‐Rectangular Fields,” Transactions of the American Society of Agricultural Engineers, Vol. 16, No. 4, July–Aug., 1973, pp. 810–813.
10.
Smerdon, E. T., Tefertiller, K. R., Kilmer, R. E., and Billingsley, R. V., “Electronic Computers for Least‐Cost Land‐Forming Calculations,” Transactions of the American Society of Agricultural Engineers, Vol. 9, No. 2, Mar.–Apr., 1966, pp. 190–193.
11.
Soil Conservation Service, SCS National Engineering Handbook, Section 15, Chapter, 12, Land Leveling, USDA, Washington, D.C., 1970, 59 pp.
12.
Sowell, R. S., Shih, S. F., and Kriz, G. J., “Land Forming Design by Linear Programming,” Transactions of the American Society of Agricultural Engineers, Vol. 16, No. 3, May–June, 1973, pp. 296–301.
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Copyright © 1986 ASCE.
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Published online: May 1, 1986
Published in print: May 1986
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