TECHNICAL PAPERS
May 1, 1986

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.

Get full access to this article

View all available purchase options and get full access to this article.

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.

Information & Authors

Information

Published In

Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 112Issue 2May 1986
Pages: 98 - 109

History

Published online: May 1, 1986
Published in print: May 1986

Permissions

Request permissions for this article.

Authors

Affiliations

Edmar J. Scaloppi
Asst. Prof., Faculdade de Ciencias Agronomicas, UNESP, Botucatu, Sao Paulo, Brasil
Lyman S. Willardson, M. ASCE
Prof., Agr. and Irrigation Engr., Utah State Univ., Logan, UT

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share