Methods of Estimating Evapotranspiration - 19.5 | 19. Evapotranspiration | Hydrology & Water Resources Engineering - Vol 2
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Empirical Methods of Estimating ET

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0:00
Teacher
Teacher

Today, we're going to learn about Empirical Methods for estimating Evapotranspiration. Can anyone tell me a type of empirical method?

Student 1
Student 1

Isn't the Blaney-Criddle Method one of them?

Teacher
Teacher

Yes! The Blaney-Criddle Method uses the mean daily temperature and daylight hours. Does anyone remember the formula?

Student 2
Student 2

It's ET equals p times (0.46T + 8), right?

Teacher
Teacher

Exactly! Remember that p stands for the monthly percentage of annual daylight hours. What about another method?

Student 3
Student 3

The Hargreaves Method?

Teacher
Teacher

Correct! It’s based on temperature too. Let's say it together: ET equals 0.0023 times (T + 17.8) times (T_max - T_min) raised to the power of 0.5 times Ra. Great job!

Energy Balance Methods

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0:00
Teacher
Teacher

Let's discuss Energy Balance Methods. Who can explain the fundamental idea behind them?

Student 4
Student 4

They focus on energy conservation, right?

Teacher
Teacher

Exactly! The key equation is R_n - G - H = λE. Can anyone break that down?

Student 1
Student 1

R_n is net radiation, G is soil heat, H is sensible heat, and λE is latent heat times ET.

Teacher
Teacher

Perfect! This shows how energy budget affects ET estimation. Why do you think this is important?

Student 2
Student 2

Because it helps us understand how much water is actually being evaporated.

Combination Methods

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0:00
Teacher
Teacher

Now let’s look at Combination Methods! Who can remind me of one of these?

Student 3
Student 3

The Penman-Monteith Method?

Teacher
Teacher

Exactly! This method is widely regarded as the standard. It combines both empirical and energy approaches. Can anyone explain how we write that?

Student 4
Student 4

It’s ET equals that big fraction with delta and gamma terms.

Teacher
Teacher

Correct! You’re learning well. This method is crucial for accurate global ET estimations.

Introduction & Overview

Read a summary of the section's main ideas. Choose from Basic, Medium, or Detailed.

Quick Overview

Various methods are employed to estimate evapotranspiration (ET), classified into empirical, energy balance, and combination methods.

Standard

The estimation of evapotranspiration (ET) is approached through different methods depending on data availability, accuracy, and scale. These methods are categorized into empirical, energy balance, and combination methods, each with specific techniques such as the Blaney-Criddle method, Penman method, and FAO Penman-Monteith method, among others.

Detailed

Methods of Estimating Evapotranspiration

Estimating Evapotranspiration (ET) is crucial for water resource management, and various methods exist based on data availability and desired accuracy. Methods can be broadly categorized into three groups:

1. Empirical Methods

Empirical methods primarily use observed climatological data and regression equations to estimate ET. Key examples include:
- Blaney-Criddle Method: Utilizes mean daily temperature and daylight hours, expressed as:

ET = p(0.46T + 8)

where p is the monthly percentage of annual daylight hours and T is mean monthly temperature (°C).

  • Hargreaves Method: Simple and temperature-based, calculated as:

ET = 0.0023(T + 17.8)(T_max - T_min)^{0.5} Ra

where Ra represents extraterrestrial radiation.

  • Pan Evaporation Method: Founded on the evaporation rate from a Class A pan, represented as:

ET = K_p * E_p

where K_p is the pan coefficient and E_p is the pan evaporation.

2. Energy Balance Methods

This category is based on the principle of energy conservation at land surface, summarized in the energy budget equation:

R_n - G - H = λE

where R_n is net radiation, G is soil heat flux, H is sensible heat flux, and λE corresponds to latent heat multiplied by ET.

3. Combination Methods

Combination methods integrate both empirical and energy balance approaches. Notable methods include:
- Penman Method: Blends energy balance with aerodynamic methods:

ET = rac{Δ(R_n - G) + γ rac{900}{T + 273}u(e_s - e_a)}{Δ + γ(1 + 0.34u)}

with variables defined as slopes, psychrometric constants, wind speed, and vapor pressure deficit.

  • FAO Penman-Monteith Method: The standard method for estimating reference ET, using:

ET = rac{0.408Δ(R_n - G) + γ rac{900}{T + 273}u(e_s - e_a)}{Δ + γ(1 + 0.34u)}

This method employs a standard grass reference crop and is globally applicable, providing accuracy in ET estimations.

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Audio Book

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Overview of Estimation Methods

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Various methods are used depending on data availability, accuracy required, and scale. They are broadly categorized as:

Detailed Explanation

This chunk introduces the different methods used to estimate evapotranspiration (ET). It highlights that the choice of method depends on the availability of data, the level of accuracy needed, and the scale at which the estimation is required. Understanding this framework helps identify which methods might be most applicable in different situations.

Examples & Analogies

Think of estimating ET like measuring the distance you need to travel. If you have a GPS (lots of data), you can get an accurate reading. If you only have a rough map (limited data), you might guess or use a simpler method to figure out the distance.

Empirical Methods

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(a) Empirical Methods
• Based on observed climatological data and regression equations.

Detailed Explanation

Empirical methods rely on existing observations and statistical relationships to estimate ET. These approaches use climatological data, meaning data related to weather patterns and measurements, along with regression equations to derive ET estimates. They are typically simpler and can be used where direct measurements are not feasible.

Examples & Analogies

Empirical methods are like making a recipe based on one's experience from previous cooking. Instead of measuring every ingredient precisely, you rely on what worked before and adjust based on observation.

Blaney-Criddle Method

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  1. Blaney-Criddle Method
    • Uses mean daily temperature and daylight hours.
    • Suitable for monthly PET estimates.
    ET = p(0.46T + 8) where p = monthly % of annual daylight hours, T = mean monthly temperature (°C)

Detailed Explanation

The Blaney-Criddle Method is a specific empirical method used to estimate potential evapotranspiration (PET). It incorporates mean daily temperature and the ratio of daylight hours in a month. This makes it particularly useful for monthly calculations of ET based on climatic data.

Examples & Analogies

Imagine you are planning a picnic and decide the best time to go based on past weather patterns. If it’s usually sunny for most of the day in the peak summer months, you use that knowledge to decide on the best day for the picnic.

Hargreaves Method

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  1. Hargreaves Method
    • Simple temperature-based method.
    ET = 0.0023(T + 17.8)(T − T )^0.5 * Ra
    • where Ra is extraterrestrial radiation.

Detailed Explanation

The Hargreaves Method is another empirical approach that uses temperature data to estimate ET. This method also factors in extraterrestrial radiation, which represents the total solar energy received outside the Earth’s atmosphere. It's a straightforward calculation that requires minimal data.

Examples & Analogies

Using the Hargreaves method is similar to checking the weather forecast to decide whether to carry an umbrella. If the temperature is higher, you might think it's a drier day, hence less need for an umbrella (similar to less ET).

Pan Evaporation Method

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  1. Pan Evaporation Method
    • Based on evaporation from a Class A evaporation pan.
    ET = K · Ep where K = pan coefficient, Ep = pan evaporation.

Detailed Explanation

The Pan Evaporation Method estimates ET by measuring the evaporation from a Class A pan, which is a standardized device. The actual ET is calculated by applying a pan coefficient to the measured evaporation. This method is easy to implement and provides real-time data.

Examples & Analogies

Think of a pan of water left outside in the sun. You can observe how much water evaporates each day. If you use that measurement to predict how much water might be lost from a farm, it’s similar to how the Pan Evaporation Method works.

Energy Balance Methods

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(b) Energy Balance Methods
• Based on the conservation of energy at the land surface.

Detailed Explanation

Energy balance methods estimate ET by considering the laws of energy conservation. They calculate the balance between energy inputs (like solar radiation) and outputs (like heat loss and evaporation). This holistic approach accounts for all energy fluxes at the land surface.

Examples & Analogies

Consider a bank account where money is deposited and withdrawn. To know your balance for the day, you compute how much was added and how much was spent. Similarly, energy balance methods compute energy gains and losses to estimate ET.

Penman Method

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  1. Penman Method
    • Combines energy balance and aerodynamic approach.

Detailed Explanation

The Penman Method is a sophisticated approach that merges energy balance principles with considerations of aerodynamic data, such as wind speed. It accounts for how the atmosphere affects evaporation and provides a more accurate ET estimate by incorporating multiple environmental variables.

Examples & Analogies

This method is like cooking where you not only consider the ingredients (energy balance) but also the cooking temperature and method (aerodynamics), resulting in a well-prepared dish.

FAO Penman-Monteith Method

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  1. FAO Penman-Monteith Method
    • Recommended standard method by FAO for reference ET estimation:
    0.408∆(R − G) + γ 900 u (e − e )/(∆ + γ(1 + 0.34u ))

Detailed Explanation

The FAO Penman-Monteith Method is considered a gold standard for estimating reference ET. It is widely used because it is both accurate and applicable in many global contexts. The formula integrates multiple factors, including net radiation, temperature, wind speed, and humidity to provide a reliable ET estimate.

Examples & Analogies

Using this method is like having a detailed recipe that has been perfected over time. It includes all necessary ingredients and precise steps, ensuring the best possible outcome for estimating ET.

Definitions & Key Concepts

Learn essential terms and foundational ideas that form the basis of the topic.

Key Concepts

  • Empirical Methods: Techniques for ET estimation using observed data.

  • Energy Balance: A principle focused on conserving energy at the surface for ET calculations.

  • Penman-Monteith Method: A comprehensive standard method that combines various approaches for accurate ET estimation.

Examples & Real-Life Applications

See how the concepts apply in real-world scenarios to understand their practical implications.

Examples

  • Using the Blaney-Criddle method, a farmer estimates their crop ET based on temperature data from the past month.

  • The Penman-Monteith method is often employed in meteorological studies for precise ET calculations in various climates.

Memory Aids

Use mnemonics, acronyms, or visual cues to help remember key information more easily.

🎵 Rhymes Time

  • Blaney-Criddle's simple indeed, temperature and daylight lead.

📖 Fascinating Stories

  • Imagine a farmer checking temperatures daily, using that data and hours of sunshine to grow crops wisely. This is how the Blaney-Criddle method enables successful farming!

🧠 Other Memory Gems

  • Remember: PET, AET. Potential, Actual, energy balance can't be skipped!

🎯 Super Acronyms

E-B-C for Estimation Methods

  • Empirical
  • Balance
  • Combination.

Flash Cards

Review key concepts with flashcards.

Glossary of Terms

Review the Definitions for terms.

  • Term: Empirical Method

    Definition:

    Estimation techniques based on observed data and statistical correlations.

  • Term: Energy Balance

    Definition:

    Method focusing on the conservation of energy to estimate ET.

  • Term: PenmanMonteith Method

    Definition:

    A standard method for estimating reference ET, combining energy balance and aerodynamic approaches.

  • Term: BlaneyCriddle Method

    Definition:

    An empirical method using temperature and daylight hours for estimating ET.

  • Term: Hargreaves Method

    Definition:

    An empirical method of estimating ET using maximum and minimum temperature values.