TECHNICAL PAPERS
Sep 1, 1984

Data Requirement for Evapotranspiration Estimation

Publication: Journal of Irrigation and Drainage Engineering
Volume 110, Issue 3

Abstract

Various approaches based on climatological data (CD) have been used to estimate evapotranspiration (ET). A multiple regression with ordinary least square analysis (OLS) has been commonly used to assess the relatively important CD used as predictors. An optimum ridge regression analysis (OPT) is introduced to overcome the problem caused by the OLS analysis when multicollinearity exists among the CD. An ideal method used for ET estimation should be chosen based as minimally as possible on the input of the CD variables without affecting the accuracy of estimation, so that not only can the multicollinearity problem be eliminated but also the CD availability can be improved considerably. Particularly, a model based on two variables of air temperature and solar radiation can provide a quite satisfactory estimation of the ET in southern Florida for irrigation requirement prediction. The technique developed can be used to improve the assessment of the relative importance of the CD used not only for developing a better ET equation but also for improving future programs of the weather data collection.

Get full access to this article

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

References

1.
Althauser, R. P., “Multicollinearity and Nonadditive Regression Models,” Causal Models in the Social Science, H. M. Blalock, ed., Aldine, Chicago, Ill., 1971, pp. 453–472.
2.
Blalock, H. M., Jr., Causal Inferences in Nonexperimental Research, Univ. of North Carolina Press, Chapel Hill, N.C., 1964.
3.
Borrelli, J., Pochop, L. O., Kneebone, I. L., Danielson, R. E., Hart, W. E., and Younger, V. B., “Blaney‐Criddle Coefficients for Western Turf Grasses,” Journal of the Irrigation and Drainage Division, ASCE, Vol. 107, No. IR4, 1981, pp. 333–341.
4.
California State Department of Water Resources, Vegetative Water Use, Bulletin No. 122–3.
5.
Christ, C. F., Econometric Models and Method, John Wiley and Sons, Inc., New York, N.Y., 1966.
6.
Deegan, J., Jr., “The Process of Political Development,” Sociological Method and Research, Vol. 3, 1975, pp. 381–415.
7.
Dempster, A. O., Schatzoff, M., and Wermuth, N., “A Simulation Study of Alternative to Ordinary Least Square,” Journal of the American Statistical Association, Vol. 72, 1977, pp. 77–90.
8.
Doorenbos, J., and Pruitt, W. O., “Guidelines for Predicting Crop Water Requirements,” Irrigation and Drainage Paper No. 24, Food and Agriculture Organization of the United Nations, Rome, Italy, 1977.
9.
Farrar, D. E., and Glauber, R. R., “Multicollinearity in Regression Analysis: The Problem Revisited,” Review of Economics and Statistics, Vol. 49, 1967, pp. 202–217.
10.
Frevert, D. K., Hill, R. W., and Braaten, B. C., “Estimation of FAO Evapotranspiration Coefficients,” Journal of the Irrigation and Drainage Division, ASCE, Vol. 109, No. IR2, 1983, pp. 265–270.
11.
Godberger, A. S., Econometric Theory, John Wiley and Sons, Inc., New York, N.Y., 1964.
12.
Hargreaves, G. H., discussion of “Consumptive Use of Water and Irrigation Water Requirements,” by M. E. Jensen, Journal of the Irrigation and Drainage Division, ASCE, Vol. 103, No. IR2, 1977, pp. 287–290.
13.
Hargreaves, G. H., and Samani, Z. A., “Estimating Potential Evapotranspiration,” Journal of the Irrigation and Drainage Division, ASCE, Vol. 108, No. IR3, 1982, pp. 225–230.
14.
Hill, R. W., discussion of “Consumptive Use of Water and Irrigation Water Requirements,” by M. E. Jensen, Journal of the Irrigation and Drainage Division, ASCE, Vol. 103, No. IR2,” 1977, p. 290.
15.
Hoerl, A. E., and Kennard, R. W., “Ridge Regression: Biased Estimation for Nonorthogonal Problems,” Technometrics, Vol. 12, 1970, pp. 55–68.
16.
Hoerl, A. E., and Kennard, R. W., “Ridge Regression: Application to Nonorthogonal Problems,” Technometrics, Vol. 12, 1970, pp. 68–82.
17.
Hoerl, A. E., Kennard, R. W., and Baldwin, K. F., “Ridge Regression: Some Simulation,” Communications in Statistics, Vol. 4, No. 2, 1975, pp. 105–123.
18.
Jensen, M. E., Consumptive Use of Water and Irrigation Water Requirements, ASCE, New York, N.Y., 1974, 215 pp.
19.
Linsley, R. K., Kohler, M. A., and Paulhus, J. L. H., Hydrology for Engineers, McGraw‐Hill Book Co. Inc., New York, N.Y., 1975.
20.
McDonald, G. C., and Galarneau, D. I., “A Monte Carlo Evaluation of Some Ridge Type Estimators,” Publication GMR‐1322‐B, General Motors Research Laboratories, Warren, Mich., 1973.
21.
McDonald, G. C., and Richard, R. C., “Instabilities of Regression Estimates Relating Air Pollution of Mortality,” Technometrics, Vol. 15, 1973, pp. 463–481.
22.
McVicker, R. R., “The Effects of Model Complexity on the Predictive Accuracy of Soil Moisture Accounting Models,” thesis submitted to Utah State University, at Logan, Utah, in 1982, in partial fulfillment of the requirements for the degree of Master of Science.
23.
Pruitt, W. O., “Relation of Consumptive Use of Water to Climate,” Transactions of the American Society of Agricultural Engineers, Vol. 3, 1960, pp. 9–17.
24.
Rockwell, R. C., “Assessment of Multicollinearity,” Sociological Methods and Research, Vol. 3, 1975, pp. 308–320.
25.
Shih, W. F., and Kasarda, J. D., “Optimal Bias in Ridge Regression Approach to Multicollinearity,” Sociological Methods and Research, Vol. 5, 1977, pp. 437–460.
26.
Shih, W. F., and Shih, S. F., “Application of Monte Carlo Simulation to Ridge Regression,” Proceedings of the American Statistical Association, Social Science Section, 1977, pp. 1023–1027.
27.
Shih, W. F., and Shih, S. F., “Monte Carlo Approach to Ridge Regression with Different Degrees of Collinearity,” Proceedings of the American Statistical Association, Social Science Section, 1978, pp. 415–519.
28.
Shih, S. F., Allen, L. H. Jr., Hammond, L. C., Jones, J. W., Rogers, J. S., and Smajstrla, A. G., “Basinwide Water Requirement Estimation in Southern Florida,” Transactions of the American Society of Agricultural Engineers, Vol. 26, No. 3, 1983, pp. 760–766.
29.
Veihmeyer, F. J., “Evapotranspiration,” V. T. Chow, ed., Handbook of Applied Hydrology, McGraw‐Hill Book Company, Inc., New York, N.Y., 1964, pp. (11‐1)–(11‐28).
30.
Vinod, H. D., “Application of New Ridge Regression Methods to a Study of Bell System Scale Economics,” Journal of the American Statistical Association, Vol. 71, 1976, pp. 835–841.
31.
Wright, J. L., “New Evapotranspiration Crop Coefficients,” Journal of the Irrigation and Drainage Division, ASCE, Vol. 108, No. IR1, 1982, pp. 57–74.

Information & Authors

Information

Published In

Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 110Issue 3September 1984
Pages: 263 - 274

History

Published online: Sep 1, 1984
Published in print: Sep 1984

Permissions

Request permissions for this article.

Authors

Affiliations

Sun F. Shih, M. ASCE
Prof., Agr. Engrg. Dept., Univ. of Florida, Gainesville, Fla. 32611

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