Evaporation Losses from Shallow Water Bodies in Oklahoma

October 2016


Introduction

Evaporation of water from open water bodies could be a significant source of water loss, especially under hot and dry atmospheric conditions. As a result, studying evaporation losses and developing equations to estimate it has been the subject of numerous experiments since the 17th and 18th centuries. The main factors influencing the rate of evaporation from open water bodies include solar radiation (the source of energy), atmospheric parameters (air temperature, relative humidity, wind speed, etc.) and heat storage in the water bodies.

This Fact Sheet provides a brief review of available methods for estimating free-water evaporation losses. It then presents evaporation estimates for shallow water bodies in Oklahoma, using the pan evaporation method and monthly Mesonet data. The results can be used to quantify potential evaporation loss and to determine if implementing physical and chemical methods of minimizing and/or eliminating evaporation losses is cost effective.

This study focuses on shallow ponds, since deep water bodies (large lakes and reservoirs) have significantly different thermal characteristics that necessitate the use of different approaches and coefficients. A water body is considered shallow if it has a depth of less than 17 feet (Doorenbos & Pruitt 1977). Examples include outdoor swimming pools, irrigation ponds, fish ponds and oil/gas water supply pits.

Farm pond with controlled access for cattle. Prevents erosion a

Figure 1. A small farm pond in Oklahoma.

Estimating Water Evaporation

Several methods have been used by researchers to estimate evaporation losses from open water bodies. One method is the “water budget” approach, in which evaporation is estimated by comparing the flows of water going into and out of the water body of interest. Major inflow components include precipitation and surface runoff, while the main outflow components consists of evaporation, deep percolation and any possible overflow. The main disadvantage of this method that hinders its practical application is the need to accurately determine water budget components, which is a difficult task and has limited application for predicting future evaporation rates.

Another approach to estimate water evaporation is known as the “mass transfer” method. In this method, evaporation rates are estimated as a function of wind speed and vapor pressure difference between water surface and the air above it. Depending on the type of mass transfer equation used, a coefficient needs to be determined, based on numerous atmospheric parameters measured at the study area.

A third approach to estimate evaporation loss is to conduct an “energy balance” analysis, in which all major components of energy are identified. The net amount of solar energy available at the water body can be estimated by accounting for all incoming and outgoing short- and long-wave solar radiation, based on accurate information on sky and water conditions. But a major challenge is to identify the portion of energy stored in the water body, which can vary widely, depending on the thermal conduction and the depth of solar radiation penetration. In clean water, about 20 percent of solar radiation can penetrate to a depth of 33 feet. It could take months before the absorbed energy is eventually used in the evaporation process, which is why there is a long time lag between peak evaporation period for shallow and deep water bodies. Another major challenge toward implementation of mass transfer and energy balance methods (as well as methods combining these two approaches) is that atmospheric parameters should be measured over the water body and not at a weather station on land.

The most widely used method for estimating evaporation from open water bodies is known as the “pan evaporation” method. In this method, a standardized water container (pan) is installed at an open area, filled with water and maintained according to specific guidelines. Water evaporation from this pan is measured on a daily basis. However, the measurements cannot be regarded as direct estimates of evaporation from open water bodies. This is due to the differences in thermal characteristics between the pan and shallow/large water bodies. One major difference is that evaporation pans receive and lose heat through their walls and bottom. As a result, measured pan evaporation rates need to be multiplied by a “pan coefficient” in order to obtain more accurate estimates of open water evaporation:

Open water evaporation = pan evaporation × pan coefficient (Kp)

Types of Evaporation Pans

Several types of evaporation pans have been used in previous studies. One example is the Colorado sunken pan that is 3 feet square and 18 inches deep. As the name implies, this pan is placed in the ground with only 2 inches of its wall above the ground surface. Water level inside the pan is usually kept at or below ground surface. This type of pan has many advantages in estimating crop water requirements, but maintenance and detection of leaks is more difficult. The standard evaporation pan in the U.S. is known as the “Class A” pan (Figure 2), with a cylindrical design: 47.5 inch diameter and 10 inch depth. This pan is made out of galvanized iron and placed on top of a leveled 6-inch-tall wooden frame. The water in a Class A pan should be kept clean and allowed to fluctuate between 2 and 3 inches from the top of the rim.

Pan Coefficient for Shallow Water Bodies

Developing pan coefficients (Kp) for large and shallow water bodies has been a major research area for the past century. The results of these studies show that Kp changes with variations in atmospheric conditions and varies by location. Hence, different Kp values have been developed for different times of the year. In addition, coefficients for large lakes are significantly different than those for shallow water bodies. This is mainly due to the heat storage capacity being much greater in large water bodies, compared to shallow ponds. As a result, most of the solar energy during hot summer months gets stored in deep lakes, while a large portion of it is used to evaporate water in shallow water bodies. This difference in thermal characteristics requires the use of different pan coefficients for estimating water evaporation from shallow ponds.

BAE-1529 Fig 2

Figure 2. Class A evaporation pan at the USDA-ARS weather station at Kimberly, Idaho.

Methodology

In this study, pan evaporation rates were estimated based on several atmospheric parameters measured at more than 120 Mesonet weather stations across the state, using the equation from the United Nations Food and Agriculture Organization Irrigation and Drainage Paper Number 24 (FAO-24). This equation and its variables are explained in the Mesonet publication “Evapotranspiration Product Description” (Sutherland et al. 2005). Monthly pan evaporation rates were estimated for every station for a 17-year period (1997 to 2013). The average monthly pan evaporation was then estimated for each of the nine climate divisions (CD) defined by the Oklahoma Climatological Survey (Figure 3). Climate division 1 had the smallest number of Mesonet stations (eight) and climate division 5 had the largest number of weather stations (25). The average number of weather stations in each division was 13.4, indicating a high level of geographic coverage by weather stations.

The next step was to identify appropriate pan coefficients to be multiplied by pan evaporation rates of each climate division. In this study, the Kp values were obtained from maps presented at the “Evaporation atlas for the contiguous 48 United States,” which is regarded as the standard reference for water evaporation studies. The Kp values in this atlas are to be used only for the 6-month period from May to October. This is a period when the demand for water increases rapidly due to higher human and agricultural water requirements. Map number 4 in this atlas provides Kp contour lines for the entire U.S. Figure 4 shows the section of the map including Oklahoma, where coefficients vary from 0.76 at the east to 0.68 at the southwest region of the state.

BAE-1529 Fig 3

Figure 3. Oklahoma climate divisions.

BAE-1529 Fig 4

Figure 4. Pan coefficient contour lines from the Evaporation Atlas (Farnsworth et al. 1982).

Pan coefficient contour lines were used to identify a single Kp value for each of the nine climate divisions (CDs) in this study (Table 1). These coefficients are very similar to the 0.72 value reported for the May-Oct period for Fort Collins, CO (Rohwer 1931).

BAE-1529 Table 1

The Kp value selected for each CD was multiplied by the sum of average monthly pan evaporation rates for the six months of May to October to obtain an estimate of evaporation losses from shallow water bodies for this period.

Results and Discussion

Estimated monthly pan evaporation rates showed a clear seasonal behavior, with small evaporation rates during winter months and a peak during hot summer months. Figure 5 shows graphs of monthly pan evaporation for four CDs for a 6-year subset of the study period between 2007 and 2013. The graphs clearly depict the difference between western and eastern CDs, where CD-1 (panhandle) usually has the highest and CD-9 (southeast) has the lowest evaporation rates. The graphs also show the impact of the 2011 extreme drought, as pan evaporation rates for CD-7 (southwest) were higher than that of CD-1 and reached a level two times larger than the level in the previous year.

Monthly pan evaporation estimates were summed for the 6-month period of May to October and then multiplied by selected Kp values to estimate evaporation losses. Figure 6 demonstrates the six-month evaporation losses for each of the four CDs during the 17 years of study period. According to the results, the southeast region (CD-9) had the smallest rates of 6-month evaporation losses, ranging from 24.2 inches in 2007 to 34.8 inches in 2011. Evaporation losses increased by moving west toward the Panhandle region (CD-1), where rates ranged from 38.0 inches in 1997 to 55.2 inches in 2011. The southwest CD-7 was usually below CD-1, with the exception of 1998, 2006 and 2011.

The values of 6-month evaporation losses averaged during the 17 years of the study period are presented in Table 2 and Figure 7. Estimated rates varied from 28.1 inches at CD-9 (southeast) to 44.4 inches at CD-1 (Panhandle). These results are very similar to the 6-month estimates of Farnsworth (1982), who reported evaporation rates ranging between 30.0 inches at the eastern Oklahoma and 40.0 inches at the Panhandle region for a 15-year period (1956 to 1970). Based on the consistency in the results of these two long-term studies, it can be concluded that from 30.0 to over 40.0 inches of water is evaporated on average from shallow water bodies in Oklahoma during the six-month period of May-Oct. It should be noted that these rates could be significantly larger during drought periods. The two CDs in the southwest region, CD-4 and CD-7, had average evaporation losses equal to 40.9 and 40.3 inches, respectively. This amount of water loss is greater than the seasonal water requirement of cotton (the predominant crop in the region), which is about 30 inches (Boman and Warren 2014).

BAE-1529 Fig 5-2

Figure 5. Monthly pan evaporation rates for the four Oklahoma CDs.

BAE-1529 Fig 6-2

Figure 6. Six-month shallow-water evaporation losses for the four Oklahoma CDs.

Evaporation Loss in Volume

The evaporation rates estimated in this study represent losses from a unit area of an open water body. To estimate the volume of evaporation losses, the appropriate evaporation rate should be obtained for the CD where the water body of interest is located. This rate should then be multiplied by the surface area of the water body.

Example: A farm pond in Jackson County is used for storing irrigation water. The pond surface area is 70 yards by 70 yards, which is about one acre. The average 6-month evaporation rate for shallow ponds is 40.3 inches for CD-7, where Jackson County is located. This rate is equal to 3.36 feet. Thus, the 6-month water loss from this farm pond is 3.36 acre-feet, or 1,094,856 gallons.

Table 2. Six-month shallow-water evaporation losses for the nine Oklahoma CDs, averaged during the 17 years of the study period.

CD 1 2 3 4 5 6 7 8 9

Evaporation loss (inches) 44.4 37.8 30.1 40.9 33.7 30.3 40.3 33.1 28.1

BAE-1529 Fig 8-2

Figure 7. Map of 6-month evaporation losses.

References and Bibliography

Allen, R.G., Pereira, L.S., Raes, D. and Smith M., (1998). “Crop Evapotranspiration: Guidelines for Computing Crop Water Requirements.” Irrig. and Drain. Paper No. 56, United Nations Food and Agriculture Organization, Rome, Italy, 300 pp.

Boman, R., Warren, J. (2014) “Understanding Cotton Irrigation Requirements in Oklahoma.” Oklahoma Cooperative Extension Service, Fact Sheet PSS-2406, 4 pp.

Borelli, J., Fedler, C.B., and Gregory, J.M. (1998). “Mean Crop Consumptive Use and Free-Water Evaporation for Texas.” Dept. of Civil Eng., Texas Tech Univ., 271 pp.

Doorenbos, J., Pruitt, W.O. (1977) “Guidelines for Predicting Crop Water Requirements.” Food and Agriculture Organization of the United Nations, Rome, Italy, FAO Irrigation and Drainage Paper 24, 143 pp.

Jensen, M., (2010) “Estimating Evaporation from Water Surfaces.” Presented at the CSU/ARS Evapotranspiration Workshop, Fort Collins, CO, 15-Mar-2010. 27 pp.

Kohler, M.A. (1954). “Lake and pan evaporation.” pp. 127-148, In: Water-Loss Investigations: Lake Hefner Studies, Tech. Rep., Geological Survey Prof. Paper 269, 170 pp.

Farnsworth, R.K., Thompson, E.S., and Peck, E.L. (1982). “Evaporation atlas for the contiguous 48 United States.” NOAA Techn. Rept. NWS 33, 27 pp.

Rohwer, C., (1931). “Evaporation from Free Water Surfaces.” USDA Tech. Bull. 271. 96 pp.

Sutherland, A., Carlson, J.D., and Kizer, M. (2005) “Evapotranspiration Product Description.” Accessible at: http://www.mesonet.org/images/site/Evapotranspiration%20Product%20Description%20Mar%202005.pdf

Saleh Taghvaeian
Extension Specialist in Water Resources

Al Sutherland
Extension Specialist in Weather Applications

DASNR Extension Research CASNR
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