Evapotranspiration Rate Calculator
Calculate reference and crop evapotranspiration using the FAO Penman-Monteith equation
FAO-56 PENMAN-MONTEITH METHODWeather Parameters
Crop Parameters
Description will appear here.
Irrigation Recommendations
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This calculator uses the FAO Penman-Monteith equation, the international standard for calculating reference evapotranspiration (ET₀) adopted by the Food and Agriculture Organization of the United Nations.
Reference ET₀ Formula:
Crop Evapotranspiration:
Variables:
ET₀ Reference evapotranspiration (mm/day)
Rn Net radiation at crop surface (MJ/m²/day)
G Soil heat flux density (MJ/m²/day) ≈ 0 for daily calculations
T Mean daily air temperature (°C)
u₂ Wind speed at 2m height (m/s)
es Saturation vapor pressure (kPa)
ea Actual vapor pressure (kPa)
Δ Slope of vapor pressure curve (kPa/°C)
γ Psychrometric constant (kPa/°C)
The Penman-Monteith equation accounts for both radiative energy and aerodynamic transport, making it applicable across diverse climates and locations when local weather data is available.
This calculator provides estimates based on the FAO-56 Penman-Monteith equation for reference conditions. Actual evapotranspiration varies with local conditions, crop variety, soil type, irrigation method, and management practices. Results should be used as guidelines and supplemented with local observations, soil moisture monitoring, and professional agronomic advice for irrigation scheduling decisions.
Evapotranspiration Rate Calculator
Evapotranspiration Rate Calculator: The Essential Tool for Precision Water Management
What Is the Evapotranspiration Rate Calculator?
The Evapotranspiration Rate Calculator is a scientific instrument that determines how much water plants lose to the atmosphere through the combined processes of evaporation and transpiration. This measurement, expressed in millimeters or inches per day, represents the fundamental basis for irrigation scheduling, water resource planning, and agricultural water management worldwide. For farmers, landscapers, hydrologists, and water district managers, accurate evapotranspiration calculations translate directly into water savings, crop health, and operational efficiency.
Evapotranspiration encompasses two distinct physical processes. Evaporation describes water transitioning from liquid to vapor from soil surfaces, plant surfaces, and water bodies. Transpiration refers to water movement through plants, absorbed by roots, transported through vascular tissue, and released through leaf stomata as part of photosynthesis. Together, these processes account for the vast majority of water leaving agricultural and landscape systems, often exceeding 90 percent of total water inputs during growing seasons.
The Evapotranspiration Rate Calculator employs the FAO-56 Penman-Monteith equation, internationally recognized as the most accurate method for estimating evapotranspiration. Developed by the Food and Agriculture Organization of the United Nations in 1998, this equation synthesizes decades of research into a single standardized approach adopted by agricultural agencies, research institutions, and water management authorities across the globe. The method accounts for solar radiation, temperature, humidity, and wind speed to model the complex physics of water vapor transfer from vegetated surfaces to the atmosphere.
The calculator produces two critical outputs. Reference evapotranspiration, designated ET0, represents water loss from a standardized grass surface maintained under optimal conditions. This baseline value enables comparison across locations and time periods independent of specific vegetation. Crop evapotranspiration, designated ETc, adjusts the reference value using crop coefficients that account for differences between actual crops and the reference surface. A mature corn field, for example, transpires more water than grass due to greater leaf area and height, while young seedlings transpire less.
The Science Behind Evapotranspiration
Understanding the factors driving evapotranspiration improves interpretation of calculator results and informs management decisions. Solar radiation provides the energy required for water phase change from liquid to vapor. Each millimeter of evapotranspiration requires approximately 2.45 megajoules of energy per square meter. Locations receiving intense solar radiation experience higher evapotranspiration rates than cloudy regions at similar temperatures. The calculator incorporates latitude, altitude, and day of year to estimate solar radiation when direct measurements are unavailable.
Air temperature influences evapotranspiration through multiple mechanisms. Higher temperatures increase the kinetic energy of water molecules, accelerating their escape from liquid surfaces. Temperature also determines the saturation vapor pressure of air, which represents the maximum water vapor concentration air can hold at a given temperature. Warm air holds substantially more moisture than cool air, creating greater potential for evapotranspiration when temperatures rise.
Relative humidity describes actual water vapor content relative to saturation capacity. The difference between saturation vapor pressure and actual vapor pressure creates the vapor pressure deficit, which drives water movement from wet surfaces into the atmosphere. Low humidity produces large vapor pressure deficits and rapid evapotranspiration, while humid conditions slow water loss by reducing the concentration gradient between plant surfaces and surrounding air.
Wind speed affects evapotranspiration by removing water vapor from the boundary layer adjacent to plant surfaces. Still air allows humidity to accumulate near leaves, reducing vapor pressure deficit and slowing transpiration. Wind continuously replaces this saturated boundary layer with drier air, maintaining steep concentration gradients that sustain rapid water loss. The Penman-Monteith equation includes aerodynamic resistance terms that quantify this wind effect on vapor transfer.
Crop characteristics modify evapotranspiration relative to the reference surface. The crop coefficient Kc integrates multiple plant factors including height, leaf area, stomatal behavior, and growth stage. Young crops with limited leaf coverage have Kc values below 1.0, while tall crops at full canopy often exceed 1.0. The calculator includes preset Kc values for twelve common crops, each representing typical mid-season conditions when water demand peaks.
How to Use the Evapotranspiration Rate Calculator
The calculator requires weather data and location information to compute evapotranspiration. Begin by selecting your preferred unit system. Metric units use Celsius, meters per second, millimeters, and meters, while Imperial units use Fahrenheit, miles per hour, inches, and feet. Your selection affects all input fields and output displays.
Enter the maximum and minimum air temperature for your calculation period. For daily evapotranspiration, use the highest and lowest temperatures recorded during a 24-hour period. Weather stations, smartphone applications, and online weather services provide this information for most locations. Temperature accuracy significantly affects results, so use local measurements when possible rather than regional forecasts.
Input the average relative humidity as a percentage. If your weather source provides separate daytime and nighttime humidity values, use the average of these readings. Humidity typically peaks in early morning and reaches minimum values during afternoon hours, so all-day averages provide more representative inputs than single observations.
Enter the average wind speed measured at standard height of two meters above ground. Weather stations measure wind at various heights, so verify measurement specifications and apply appropriate corrections if necessary. Wind speed at ten meters, a common measurement height, exceeds two-meter wind speed by approximately 25 percent. The calculator assumes two-meter measurements consistent with FAO-56 protocols.
Provide your location parameters including latitude in degrees, altitude in meters or feet above sea level, and the current day of year. These values enable calculation of extraterrestrial radiation and atmospheric pressure, which influence solar energy availability and psychrometric constants. The calculator provides a convenient day-of-year lookup based on calendar date.
Select your crop type from the preset options or enter a custom crop coefficient if calculating for unlisted vegetation. The preset crops include common agricultural commodities and landscape plants, each with representative mid-season Kc values. Consult FAO Irrigation and Drainage Paper 56 for comprehensive Kc tables covering additional crops and growth stages.
Click Calculate ET to generate results. The calculator displays reference evapotranspiration ET0, your crop-specific evapotranspiration ETc, and daily water requirement in volumetric terms. The interactive gauge provides immediate visual assessment of water demand intensity, while the component breakdown chart reveals the relative contribution of radiation versus aerodynamic factors to total evapotranspiration.
The seven-day projection chart extrapolates current conditions forward, showing expected cumulative water loss if conditions persist. This visualization supports irrigation planning by quantifying total water demand over typical irrigation cycles. The daily and weekly water requirement displays convert evapotranspiration rates into gallons per 1000 square feet, enabling direct comparison with irrigation system output.
Review the management recommendations section for context-appropriate irrigation guidance. Suggestions address timing, application rates, and efficiency practices tailored to your calculated water demand level. Extreme evapotranspiration conditions trigger warnings about crop stress potential and the importance of maintaining adequate soil moisture.
The methodology section documents the complete Penman-Monteith equation with all variables and intermediate calculations. This transparency enables verification against other calculation tools and supports educational use of the calculator.
Disclaimer: This calculator provides estimates based on the FAO-56 Penman-Monteith methodology. Actual crop water requirements vary with soil conditions, plant health, irrigation system efficiency, and local microclimate factors. Consult local agricultural extension services or irrigation specialists for site-specific recommendations.
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