Technical Papers
Dec 30, 2015

Reference (Potential) Evapotranspiration. I: Comparison of Temperature, Radiation, and Combination-Based Energy Balance Equations in Humid, Subhumid, Arid, Semiarid, and Mediterranean-Type Climates

Publication: Journal of Irrigation and Drainage Engineering
Volume 142, Issue 4

Abstract

Grass-reference (potential) evapotranspiration (ETo) is often used in climate change studies to evaluate potential impacts of climate change on hydrologic balances and vegetation response. In this process, empirical temperature or radiation-based empirical equations are often used because of a lack of long-term climate data to solve the combination-based energy balance equations, but this may result in false determinations of trends and magnitudes of water use. To quantify potential differences associated with using such empirical models with respect to the FAO56 Penman-Monteith method (PM), various ETo models were evaluated in five locations that have significantly different climatic characteristics [subhumid, semiarid, arid, humid (subtropical), and Mediterranean-type] in Nebraska (Clay Center and Scottsbluff), Florida (Gainesville), Arizona (Phoenix), and California (Davis). In general, the performance of most methods not only varied with climatic conditions, but also with the time step used (i.e., daily, monthly, and long-term cumulative basis). Combination methods provided lower root mean squared difference (RMSD) in all locations due to accounting for aerodynamic and energy terms of the surface energy balance. On a daily time step, the FAO24 Penman equation provided the lowest RMSD values (0.35, 0.42, 0.23, 0.37, and 0.37mm/d for Davis, Gainesville, Phoenix Clay Center, and Scottsbluff, respectively). In the most arid location (Phoenix) all combination methods overestimated ETo relative to the FAO56-PM, whereas the FAO24 Penman method performed best in Phoenix as well as in humid (Gainesville) and windy (Clay Center) locations. However, at wind speed values higher than 4m/s, FAO24 Penman estimates were up to 40% higher than the FAO56-PM estimates. In general, 1948 Penman provided higher overestimations when compared to FAO56-PM for days with solar radiation values below 10MJ/m2/d. Among temperature methods, Hargreaves method positioned first among the temperature methods in three of five locations and its RMSD of estimates in driest and most humid climates (Phoenix and Gainesville) were smallest. Most of the radiation methods underestimated in all the locations; with the exception of Gainesville, where the only method that presented this behavior was Makkink. Substantial differences were observed when comparing methods’ cumulative annual ETo to the FAO56-PM values. The performance of some of the methods differed substantially with location. For example, the FAO24 Radiation method ranked first in Davis, Clay Center, and Scottsbluff. In the extremely dry and windy location of Scottsbluff it also ranked first overall in the cumulative analysis, and second at Clay Center. This method performed poorly in Phoenix, where it ranked last on daily analysis. The results of this study can provide a reference in terms of potential errors associated with using various combination, temperature, and radiation-based empirical models in estimating ETo with respect to the FAO56-PM in various climatic conditions for different time steps.

Get full access to this article

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

Acknowledgments

The mention of trade names or commercial products is for the information of the reader and does not constitute an endorsement or recommendation for use by the authors or their institutions.

References

Alexandris, S., Stricevic, R., and Petkovic, S. (2008). “Comparative analysis of reference evapotranspiration from the surface of rainfed grass in central Serbia calculated by six empirical methods against the Penman-Monteith formula.” J. Eur. Water Resour. Assoc., 21–22, 17–28.
Allen, R. G., et al. (2005). “ASCE standardized reference evapotranspiration equation.” Environmental and Water Resources Institute, ASCE, Reston, VA.
Amatya, D. M., Skaggs, R. W., and Gregory, J. D. (1995). “Comparison of methods for estimating REF-ET.” J. Irrig. Drain. Eng., 427–435.
Berengena, J., and Gavilan, P. (2005). “Reference evapotranspiration estimation in a highly advective semiarid environment.” J. Irrig. Drain. Eng., 147–163.
FAO (Food and Agricultural Organization of the United Nations). (1977). “Guidelines for prediction of crop water requirements.”, Rome, 144.
FAO (Food and Agricultural Organization of the United Nations). (1998). “Crop evapotranspiration. Guidelines for computing crop water requirements.”, Rome, Italy, 300.
Frevert, D. K., Hill, R. W., and Braaten, B. C. (1983). “Estimation of FAO evapotranspiration coefficients.” J. Irrig. Drain. Eng., 265–270.
George, B. A., Reddy, B. R. S., Raghuwanshi, N. S., and Wallender, W. W. (2002). “Decision support system for estimating reference evapotranspiration.” J. Irrig. Drain. Eng., 1–10.
Hamon, W. R. (1961). “Estimating potential evapotranspiration.” J. Hydraul. Eng. Div., 87, 107–120.
Hamon, W. R. (1963). “Computation of direct runoff amounts from storm rainfall.” Bull. Int. Assoc. Sci. Hydrol. Pub., 63, 52–62.
Hargreaves, G. H., and Samani, Z. A. (1985). “Reference crop evapotranspiration from temperature.” Appl. Eng. Agric., 1(2), 96–99.
Howell, T. A., and Dusek, D. A. (1995). “Comparison of vapor-pressure-deficit calculation methods—Southern high plains.” J. Irrig. Drain. Eng., 191–198.
Irmak, A., Irmak, S., and Martin, D. L. (2008). “Reference and crop evapotranspiration in south central Nebraska. Part I: Comparison and analysis of grass and alfalfa-reference evapotranspiration.” J. Irrig. Drain. Eng., 690–699.
Irmak, S., Allen, R. G., and Whitty, E. B. (2003a). “Daily grass and alfalfa-reference evapotranspiration estimates and alfalfa-to-grass evapotranspiration ratios in Florida.” J. Irrig. Drain. Eng., 360–370.
Irmak, S., and Arellano, M. G. (2016). “Reference (Potential) evapotranspiration. Part II: Frequency distribution in humid, subhumid, arid, semiarid, and Mediterranean-type climates.” J. Irrig. Drain. Eng., 04015066.
Irmak, S., Irmak, A., Allen, R. G., and Jones, J. W. (2003b). “Solar and net radiation-based equations to estimate reference evapotranspiration in humid climates.” J. Irrig. Drain. Eng., 336–347.
Irmak, S., Kabenge, I., Skaggs, K., and Mutiibwa, D. (2012). “Trend and magnitude of changes in climate variables and reference evapotranspiration over 116-year period in the Platte River basin, central Nebraska, USA.” J. Hydrol., 420–421, 228–244.
Irmak, S., Mutiibwa, D., and Payero, J. O. (2010). “Net radiation dynamics: Performance of 20 daily net radiation models as related to model structure and intricacy in two climates.” Trans. ASABE, 53(4), 1059–1076.
Itenfisu, D., Elliott, R. L., Allen, R. G., and Walter, I. A. (2003). “Comparison of reference evapotranspiration calculations as part of the ASCE standardization effort.” J. Irrig. Drain. Eng., 440–448.
Jensen, M. E., Burman, R. D., and Allen, R. G. (1990). Evapotranspiration and irrigation water requirements, ASCE, New York, 360.
Jones, J. W., et al. (1984). “Estimated and measured evapotranspiration for Florida climate, crops, and soils.”, IFAS, Univ. of Florida, Gainesville, FL.
López-Urrea, R., Martín de Santa Olalla, F., Fabeiro, C., and Moratalla, A. (2006). “Testing evapotranspiration equations using lysimeter observations in a semiarid climate.” Agric. Water Manage., 85(1–2), 15–26.
Lu, J., Sun, G., McNulty, S. G., and Amatya, D. M. (2005). “A comparison of six potential evapotranspiration methods for regional use in the southeastern United States.” J. Am. Water Res. Assoc., 41(3), 621–633.
Makkink, G. F. (1957). “Testing the Penman formula by means of lysimeters.” J. Inst. Water Eng. Sci., 11(3), 277–288.
McGuinness, J. L., and Bordne, E. F. (1972). “A comparison of lysimeter-derived potential evapotranspiration with computed values.”, Agricultural Research Service, U.S. Dept. of Agriculture, Washington, DC, 71.
Monteith, J. L. (1965). “Evaporation and environment.” 19th Symp. of the Society for Experimental Biology, Vol. 19, Cambridge University Press, Cambridge, U.K., 205–234.
Nandagiri, L., and Kovoor, G. M. (2006). “Performance evaluation of reference evapotranspiration equations across a range of Indian climates.” J. Irrig. Drain. Eng., 238–249.
Ojha, C. S. P., Khobragade, S. D., and Adeloye, A. J. (2011). “Estimating air vapor pressure in a semiarid region using FAO56 methodology.” J. Irrig. Drain. Eng., 491–500.
Penman, H. L. (1948). “Natural evaporation from open water, bare soil and grass.” Proc. R. Soc. London, A, 193(1032), 120–145.
Penman, H. L. (1963). “Vegetation and hydrology.”, Commonwealth Bureau of Soils, Harpenden, England, 125.
Priestley, C. H., and Taylor, R. J. (1972). “On the assessment of surface heat flux and evaporation using large-scale parameters.” Mon. Weather Rev., 100(2), 81–92.
Rao, L., Sun, G., Ford, C., and Vose, J. (2011). “Modeling potential evapotranspiration of two forested watersheds in the southern Appalachians.” Trans. ASABE, 54(6), 2067–2078.
Tabari, H. (2010). “Evaluation of reference crop evapotranspiration equations in various climates.” Water Resour. Manage., 24(10), 2311–2337.
Thornthwaite, C. W. (1948). “An approach toward a rational classification of climate.” Geogr. Rev., 38(1), 55–94.
Thornthwaite, C. W., and Mather, J. R. (1955). “The water balance.” Pub. Climatol., 8(1), 1–104.
Turc, L. (1961). “Evaluation des besoins en eau d’irrigation potentielle, formule climatique simplifiee, el mise a jour.” Ann. Agron., 12(1), 13–49.
Xu, C. Y., and Singh, V. P. (2000). “Evaluation and generalization of radiation-based methods for calculating evaporation.” Hydrol. Processes, 14(2), 339–349.
Yoder, R. E., Odhiambo, L. O., and Wright, W. C. (2005a). “Effects of vapor-pressure deficit and net-irradiance calculation methods on accuracy of standardized Penman-Monteith equation in a humid climate.” J. Irrig. Drain. Eng., 228–237.
Yoder, R. E., Odhiambo, L. O., and Wright, W. C. (2005b). “Evaluation of methods for estimating daily reference crop evapotranspiration at a site in the humid southeast United States.” Appl. Eng. Agric., 21(2), 197–202.

Information & Authors

Information

Published In

Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 142Issue 4April 2016

History

Received: Jul 5, 2014
Accepted: Sep 9, 2015
Published online: Dec 30, 2015
Published in print: Apr 1, 2016
Discussion open until: May 30, 2016

Permissions

Request permissions for this article.

ASCE Technical Topics:

Authors

Affiliations

M. Gabriela Arellano
Former Graduate Student, Dept. of Biological Systems Engineering, Univ. of Nebraska-Lincoln, Lincoln, NE 68583.
Suat Irmak, M.ASCE [email protected]
Professor, Dept. of Biological Systems Engineering, Univ. of Nebraska-Lincoln, 239 L.W. Chase Hall, Lincoln, NE 68583 (corresponding author). E-mail: [email protected]

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