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Solar radiation and
Evapotranspiration
Omer M. Ahmed
MSc, 2nd Year, 2017
University of Kerala, India.
INTRODUCTION
• Evaporation is a process by which water changed from the liquid
or solid state into the gaseous state through the absorption of heat
• It is always related to the loss of water from a free surface over a
fixed time interval. Either direct observation, or calculation based
on the factors involved in the transfer of thermal energy.
• One of the fundamental component of hydrological cycle
• Essential requirements in the process are
1. The source of energy to vaporize the liquid water (solar or
wind)
2. The presence of gradient of concentration between the
evaporating surface and the surrounding air.
Solar Radiation
•Solar energy is created at the core of the sun when hydrogen
atoms are fused into helium by nuclear fusion.
•It is the primary source of energy for processes near the
Earth's surface.
•The electromagnetic radiation emitted by the sun contains a
broad range of wavelengths (spectrum).
•The Visible light is a small fraction of the wavelength
spectrum.
Solar Radiation
Radiation flux
• The flux of radiation energy (Jr) received at the outer surface of
the atmosphere can be calculated using the Stefan-Boltzmann
law.
• The Stefan-Boltzmann law predicts the amount of
electromagnetic energy emitted by an object in relation to its
temperature and emissivity.
• £ is the emissivity which ranges from 0 to 1, with £=1 for a
"black body", or perfect emitter, like the sun. is the Stefan-
Boltzmann constant (5.6697x10-8 W m-2 K-4), and T is
temperature of the energy emitting body (K)
4
TJr 
• Three atmospheric processes modify the solar radiation passing
through our atmosphere destined to the Earth's surface. These
processes act on the radiation when it interacts with gases and
suspended particles found in the atmosphere.
SCATTERING:
ABSORPTION:
REFLECTION:
SCATTERING:
The process of scattering occurs when small particles and gas
molecules diffuse part of the incoming solar radiation in random
directions without any alteration to the wavelength of the
electromagnetic energy.
Reduces the amount of radiation reaching the Earths surface.
REFLECTION:
A process where sunlight is redirect by 180 degrees after it strikes
an atmospheric particle. This redirection causes a 100 % “loss” of
the solar radiation. Most of the reflection in the atmosphere occurs
in clouds when light is intercepted by particles of liquid and frozen
water.
ABSORPTION:
Is a process in which solar radiation retained by a substance and
converted into heat energy. The creation of heat energy also causes
the substance to emit its own radiation. Only part of this emission
reaches the earths surface.
Atmospheric interactions
• About 30% of the incoming solar radiation is reflected back to
space, and another portion is absorbed and scattered by the
atmosphere.
• The portion of solar energy that reaches the earth's surface is
between 40% and 70% of the extraterrestrial radiation energy,
depending primarily on cloud cover.
Radiation balance
• Radiation reaching the Earth's surface unmodified by any of the
above atmospheric processes is termed direct solar radiation.
• Solar radiation that reaches the Earth's surface as long-wave radiation
after it was altered by the process of scattering is called diffuse or sky
radiation Rsky
The radiation flux balance on the earth's surface includes the total (short
and long wave) incoming minus total outgoing radiation. The net
radiation (RN) absorbed by a surface is:
 LLSSN RRRRR
RS is the incoming short-wave radiation known as global short-wave radiation and which may
include direct and scattered short-wave radiation.
RS is the reflected short-wave radiation.
RL is the diffuse long-wave radiation (Rsky).
R  is the long-wave radiation reflected and emitted by the surface
• Solar radiation is more intense nearer the equator, where
rising air condenses and falls back onto the world’s rain
forests.
• It is the driving force behind the hydrologic cycle, including
transpiration by plants & evaporation from soil and from
bodies of water.
• The amount and intensity of solar radiation that a location
or body of water receives depends on a variety of factors.
• Such as latitude, season, time of day, cloud cover, aspect,
shading, slope and altitude
WATER
• When water is exposed to excessive amounts of sunlight,
the radiation will heat the water.
• The warmer a body water is, the faster the rate of
evaporation will be. This can reduce water levels and water
flow.
• In addition, warm water can not hold as much dissolved
oxygen (as cold water) less dissolved oxygen available for
aquatic organisms.
• Too much infrared light can also cause the enzymes used in
photosynthesis to denature, which can slow or halt the
photosynthetic process .
• If radiation from the sun is lower than usual for an
extended period of time, photosynthetic production can
decrease or be stopped completely.
• Without sunlight, phytoplankton and plants will consume
oxygen instead of producing it.
• These conditions can cause dissolved oxygen levels in the
water to plummet, potentially causing a fish kill .
Evapotranspiration
• Transpiration is the process by which water vapor leaves the
living plant body and enters the atmosphere. Michel (1978).
• It is often difficult to separate transpiration from plants and
evaporation from a water surface, they are combined together
into a term called evapotranspiration.
• Basically an evaporation process.
• It is always related to the vegetation and often only that water
which is spent on the building of plant tissues is considered as
transpiration.
Evapotranspiration
• Evapotranspiration is the combination of two simultaneous
processes: Evaporation and Transpiration (ET).
• ET sometimes also called water loss.
• Defined as a process by which water is evaporated from wet
surface and transpired by plants.
• Water evaporated from the intercepted storage on the leaf
surface is considered as a part of the evapotranspiration.
• Also the evaporation from part of the soil surface which is not
covered by vegetation is a part of ET.
• Unsaturated zone becomes saturated when the ET becomes
negligible as compared with the precipitation.
• ET from deep rooted plants or in areas with a shallow water
table may lower ground water levels, (during the summer).
• In the water balance to solve various regional groundwater
problems, ET is the most difficult component to measure. The
factor may be estimated based upon the vegetation coverage.
• If runoff is measured from a “representative” area, and the
amount of water that passes below the root and capillary rise
depths is also measured, the ET value can be calculated as
(precipitation) - (runoff + true recharge).
TYPE OF EVAPOTRANSPIRATION
There are two types of ET:
• POTENTIAL EVAPOTRANSPIRATION (PET)
• EFFECTIVE EVAPOTRANSPIRATION (EET)
o Theoretical amount.
o The amount of moisture which, if
available, would be removed from a
given land area by evapotranspiration.
o Expressed in units of water depth.
POTENTIAL EVAPOTRANSPIRATION
(PET)
• Actual amount of water lost
due to evapotranspiration
from the soil along with
actively growing plant or
crop.
• The value depends upon plant
and soil characteristics, and
upon the amount of available
water in the soil.
EFFECTIVE EVAPOTRANSPIRATION
(EET)
Estimation of
Evapotranspiration
Indirect
method
Open pan
Evaporimeter
Energy
Balance
Direct
method
Lysimetry
method
Eddy
Covariance
ESTIMATION OF EVAPOTRANSPIRATION
Catchment
Water
Direct method
Lysimeter
• Lysimeter is adevice in which a volume of soil
planted with vegetation is located in container
to isolate it hydrologically from the surronding
soil.
• Having a weighing device and a drainage
system, which permit continuous measurement
of excess water and draining below the root
zone and plant water use, and hence
evapotranspiration.
 The amount of water lost by ET can be
worked out by calculating the difference
between the weight before and after the
precipitation input.
ET = P + (I – D) + S
P = Precipitation
I = Irrigation
D = Drainage
S = Soil weight
Eddy Covariance
• Measure and calculate vertical turbulent fluxes
• Fast fluctuations of vertical wind speed are correlated with
fast fluctuations in atmospheric water vapour density.
• The technique is mathematically complex, and requires
significant care in setting up and processing data.
• Directly estimates the transfer of water vapour from the land
surface to the atmosphere.
Indirect method
Using open pan Evaporimeter
• An evaporation pan is used to hold water during observations for
the determination of the quantity of evaporation at a given
location.
• Varying sizes and shapes, the most commonly used being circular
or square
• The measurement begins with the pan filled to exactly two inches
(5 cm) from the pan top and evaporation is measured daily.
• Evaporation cannot be measured when the pan's water surface is
frozen and of limited use on days with rainfall events of >30mm
ETo = KC × E pan
Where:
ETo : reference crop
evapotranspiration
KC: crop coefficient
 E pan: pan of evaporation
Catchment water balance or water budget method
ET= P – Q – ΔS - ΔD
Where:
ET= evaporation and transpiration (mm)
P = Precipitation (mm)
Q = Stream flow (mm)
ΔS= watershed storage variation (mm): Send–Sbeginning
ΔD = Seepage out – seepage in (mm)
• Used to describe the flow of water in and out of a system.
• Water balance can also refer to the ways in which an organism
maintains water in dry or hot conditions.
• It is often discussed in reference to plants or arthropods, which
have a variety of water retention mechanisms
Energy balance methods
• Evaporation of water requires relatively large amounts of energy
either in the form of sensible heat or radiant energy
• Therefore the evapotranspiration process is governed by energy
exchange at the vegetation surface and is limited by the amount of
energy available.
• The energy arriving at the surface must equal the energy leaving
the surface for the same time period.
• Because of this limitation, it is possible to predict the
evapotranspiration rate by applying the principle of energy
conservation.
λET = Rn - G - H
Where:
λ : Latent heat of vaporization of water (Jkg-1)
λET : Latent heat flux density (Wm-2)
Rn : Net surface radiation flux density (Wm-2)
G : Ground heat flux density (Wm-2)
H : Sensible heat flux density (Wm-2)
Evapotranspiration from Satellite Data
• When a surface evaporates, it looses energy and cools
itself.
• That cooling can be observed from space.
• Satellites can map the infrared heat radiated from Earth,
thus enabling to distinguish the cool surfaces from the
warm surfaces.
Various Formula for Calculation of Evapotranspiration
1. Thornthwaite equation
2. Hargreaves equation
3. Net radiation (Rn) based method
Thornthwaite equation
e = 1.6(10t/I)a
WHERE:
e = un adjusted potential ET (cm/month)
t = mean air temperature (celcius)
I = annual or seasonal heat index
a = an emperical exponent computed
Hargreaves equation
ET = 0.0023 (Tm + 17.8)(T max – T min )1/2.Ra
Where:
Tm – daily mean temperature
Ra – extra-terrestrial radiation [MJ m-2 day-1].
Net radiation (Rn) based method
ET = 0.489 + 0.289 Rn + 0.023 T mean
Where:
Rn [MJ m-2 day-1] is net radiation.
Factors Affecting Evapotranspiration
 Water availability - ET occur only if water is available.
 Energy availability - The more energy , the greater the rate of ET.
 Wind speed higher the wind speed, greater will be the rate of ET.
 Humidity gradient - The rate and quantity of water vapour
entering into the atmosphere both become higher in drier air.
 Physical attributes of the vegetation - as vegetative cover, plant
height and reflectivity surfaces, shape and area of the leaf.
 Soil characteristics - include its heat capacity, and soil chemistry
and albedo.
CONCLUSION
• It is the primary source of energy for processes near the
earth's surface.
• Solar radiation is more intense nearer the equator, It
affected by surface characteristics, such as slope, aspect,
altitude and shading.
• Evapotranspiration is the combination of two simultaneous
processes: Evaporation and Transpiration (ET) (water loss)
• Two types are there Potential (PET) and Effective (EET)
• It can be estimated either by directed or non direct methods
REFERENCES
• J. Balck (1989), groundwater resources assessment, ELSEVIER in co-
edition with SNTL , 250P.
• C.W.Fetter (2014), applied hydrogeology, Dorling Kindersley India Pvt. Ltd,
4th edition , 612P.
• http://www.fao.org/docrep/x0490e/x0490e04.htm#evapotranspiration (et)
THANK YOU
omerupto3@gmail.com

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Solar radiation and evapotranspiration

  • 1. Solar radiation and Evapotranspiration Omer M. Ahmed MSc, 2nd Year, 2017 University of Kerala, India.
  • 2. INTRODUCTION • Evaporation is a process by which water changed from the liquid or solid state into the gaseous state through the absorption of heat • It is always related to the loss of water from a free surface over a fixed time interval. Either direct observation, or calculation based on the factors involved in the transfer of thermal energy. • One of the fundamental component of hydrological cycle • Essential requirements in the process are 1. The source of energy to vaporize the liquid water (solar or wind) 2. The presence of gradient of concentration between the evaporating surface and the surrounding air.
  • 4. •Solar energy is created at the core of the sun when hydrogen atoms are fused into helium by nuclear fusion. •It is the primary source of energy for processes near the Earth's surface. •The electromagnetic radiation emitted by the sun contains a broad range of wavelengths (spectrum). •The Visible light is a small fraction of the wavelength spectrum.
  • 6. Radiation flux • The flux of radiation energy (Jr) received at the outer surface of the atmosphere can be calculated using the Stefan-Boltzmann law. • The Stefan-Boltzmann law predicts the amount of electromagnetic energy emitted by an object in relation to its temperature and emissivity. • £ is the emissivity which ranges from 0 to 1, with £=1 for a "black body", or perfect emitter, like the sun. is the Stefan- Boltzmann constant (5.6697x10-8 W m-2 K-4), and T is temperature of the energy emitting body (K) 4 TJr 
  • 7. • Three atmospheric processes modify the solar radiation passing through our atmosphere destined to the Earth's surface. These processes act on the radiation when it interacts with gases and suspended particles found in the atmosphere. SCATTERING: ABSORPTION: REFLECTION:
  • 8. SCATTERING: The process of scattering occurs when small particles and gas molecules diffuse part of the incoming solar radiation in random directions without any alteration to the wavelength of the electromagnetic energy. Reduces the amount of radiation reaching the Earths surface.
  • 9. REFLECTION: A process where sunlight is redirect by 180 degrees after it strikes an atmospheric particle. This redirection causes a 100 % “loss” of the solar radiation. Most of the reflection in the atmosphere occurs in clouds when light is intercepted by particles of liquid and frozen water.
  • 10. ABSORPTION: Is a process in which solar radiation retained by a substance and converted into heat energy. The creation of heat energy also causes the substance to emit its own radiation. Only part of this emission reaches the earths surface.
  • 11. Atmospheric interactions • About 30% of the incoming solar radiation is reflected back to space, and another portion is absorbed and scattered by the atmosphere. • The portion of solar energy that reaches the earth's surface is between 40% and 70% of the extraterrestrial radiation energy, depending primarily on cloud cover.
  • 12. Radiation balance • Radiation reaching the Earth's surface unmodified by any of the above atmospheric processes is termed direct solar radiation. • Solar radiation that reaches the Earth's surface as long-wave radiation after it was altered by the process of scattering is called diffuse or sky radiation Rsky The radiation flux balance on the earth's surface includes the total (short and long wave) incoming minus total outgoing radiation. The net radiation (RN) absorbed by a surface is:  LLSSN RRRRR RS is the incoming short-wave radiation known as global short-wave radiation and which may include direct and scattered short-wave radiation. RS is the reflected short-wave radiation. RL is the diffuse long-wave radiation (Rsky). R  is the long-wave radiation reflected and emitted by the surface
  • 13. • Solar radiation is more intense nearer the equator, where rising air condenses and falls back onto the world’s rain forests. • It is the driving force behind the hydrologic cycle, including transpiration by plants & evaporation from soil and from bodies of water. • The amount and intensity of solar radiation that a location or body of water receives depends on a variety of factors. • Such as latitude, season, time of day, cloud cover, aspect, shading, slope and altitude
  • 14. WATER • When water is exposed to excessive amounts of sunlight, the radiation will heat the water. • The warmer a body water is, the faster the rate of evaporation will be. This can reduce water levels and water flow. • In addition, warm water can not hold as much dissolved oxygen (as cold water) less dissolved oxygen available for aquatic organisms.
  • 15. • Too much infrared light can also cause the enzymes used in photosynthesis to denature, which can slow or halt the photosynthetic process . • If radiation from the sun is lower than usual for an extended period of time, photosynthetic production can decrease or be stopped completely. • Without sunlight, phytoplankton and plants will consume oxygen instead of producing it. • These conditions can cause dissolved oxygen levels in the water to plummet, potentially causing a fish kill .
  • 17. • Transpiration is the process by which water vapor leaves the living plant body and enters the atmosphere. Michel (1978). • It is often difficult to separate transpiration from plants and evaporation from a water surface, they are combined together into a term called evapotranspiration. • Basically an evaporation process. • It is always related to the vegetation and often only that water which is spent on the building of plant tissues is considered as transpiration.
  • 18.
  • 19. Evapotranspiration • Evapotranspiration is the combination of two simultaneous processes: Evaporation and Transpiration (ET). • ET sometimes also called water loss. • Defined as a process by which water is evaporated from wet surface and transpired by plants. • Water evaporated from the intercepted storage on the leaf surface is considered as a part of the evapotranspiration. • Also the evaporation from part of the soil surface which is not covered by vegetation is a part of ET.
  • 20.
  • 21. • Unsaturated zone becomes saturated when the ET becomes negligible as compared with the precipitation. • ET from deep rooted plants or in areas with a shallow water table may lower ground water levels, (during the summer). • In the water balance to solve various regional groundwater problems, ET is the most difficult component to measure. The factor may be estimated based upon the vegetation coverage. • If runoff is measured from a “representative” area, and the amount of water that passes below the root and capillary rise depths is also measured, the ET value can be calculated as (precipitation) - (runoff + true recharge).
  • 22. TYPE OF EVAPOTRANSPIRATION There are two types of ET: • POTENTIAL EVAPOTRANSPIRATION (PET) • EFFECTIVE EVAPOTRANSPIRATION (EET)
  • 23. o Theoretical amount. o The amount of moisture which, if available, would be removed from a given land area by evapotranspiration. o Expressed in units of water depth. POTENTIAL EVAPOTRANSPIRATION (PET)
  • 24. • Actual amount of water lost due to evapotranspiration from the soil along with actively growing plant or crop. • The value depends upon plant and soil characteristics, and upon the amount of available water in the soil. EFFECTIVE EVAPOTRANSPIRATION (EET)
  • 27. Lysimeter • Lysimeter is adevice in which a volume of soil planted with vegetation is located in container to isolate it hydrologically from the surronding soil. • Having a weighing device and a drainage system, which permit continuous measurement of excess water and draining below the root zone and plant water use, and hence evapotranspiration.  The amount of water lost by ET can be worked out by calculating the difference between the weight before and after the precipitation input. ET = P + (I – D) + S P = Precipitation I = Irrigation D = Drainage S = Soil weight
  • 28. Eddy Covariance • Measure and calculate vertical turbulent fluxes • Fast fluctuations of vertical wind speed are correlated with fast fluctuations in atmospheric water vapour density. • The technique is mathematically complex, and requires significant care in setting up and processing data. • Directly estimates the transfer of water vapour from the land surface to the atmosphere.
  • 29.
  • 31. Using open pan Evaporimeter • An evaporation pan is used to hold water during observations for the determination of the quantity of evaporation at a given location. • Varying sizes and shapes, the most commonly used being circular or square • The measurement begins with the pan filled to exactly two inches (5 cm) from the pan top and evaporation is measured daily. • Evaporation cannot be measured when the pan's water surface is frozen and of limited use on days with rainfall events of >30mm
  • 32. ETo = KC × E pan Where: ETo : reference crop evapotranspiration KC: crop coefficient  E pan: pan of evaporation
  • 33. Catchment water balance or water budget method ET= P – Q – ΔS - ΔD Where: ET= evaporation and transpiration (mm) P = Precipitation (mm) Q = Stream flow (mm) ΔS= watershed storage variation (mm): Send–Sbeginning ΔD = Seepage out – seepage in (mm) • Used to describe the flow of water in and out of a system. • Water balance can also refer to the ways in which an organism maintains water in dry or hot conditions. • It is often discussed in reference to plants or arthropods, which have a variety of water retention mechanisms
  • 34. Energy balance methods • Evaporation of water requires relatively large amounts of energy either in the form of sensible heat or radiant energy • Therefore the evapotranspiration process is governed by energy exchange at the vegetation surface and is limited by the amount of energy available. • The energy arriving at the surface must equal the energy leaving the surface for the same time period. • Because of this limitation, it is possible to predict the evapotranspiration rate by applying the principle of energy conservation.
  • 35. λET = Rn - G - H Where: λ : Latent heat of vaporization of water (Jkg-1) λET : Latent heat flux density (Wm-2) Rn : Net surface radiation flux density (Wm-2) G : Ground heat flux density (Wm-2) H : Sensible heat flux density (Wm-2)
  • 36. Evapotranspiration from Satellite Data • When a surface evaporates, it looses energy and cools itself. • That cooling can be observed from space. • Satellites can map the infrared heat radiated from Earth, thus enabling to distinguish the cool surfaces from the warm surfaces.
  • 37. Various Formula for Calculation of Evapotranspiration 1. Thornthwaite equation 2. Hargreaves equation 3. Net radiation (Rn) based method
  • 38. Thornthwaite equation e = 1.6(10t/I)a WHERE: e = un adjusted potential ET (cm/month) t = mean air temperature (celcius) I = annual or seasonal heat index a = an emperical exponent computed
  • 39. Hargreaves equation ET = 0.0023 (Tm + 17.8)(T max – T min )1/2.Ra Where: Tm – daily mean temperature Ra – extra-terrestrial radiation [MJ m-2 day-1].
  • 40. Net radiation (Rn) based method ET = 0.489 + 0.289 Rn + 0.023 T mean Where: Rn [MJ m-2 day-1] is net radiation.
  • 41. Factors Affecting Evapotranspiration  Water availability - ET occur only if water is available.  Energy availability - The more energy , the greater the rate of ET.  Wind speed higher the wind speed, greater will be the rate of ET.  Humidity gradient - The rate and quantity of water vapour entering into the atmosphere both become higher in drier air.  Physical attributes of the vegetation - as vegetative cover, plant height and reflectivity surfaces, shape and area of the leaf.  Soil characteristics - include its heat capacity, and soil chemistry and albedo.
  • 42. CONCLUSION • It is the primary source of energy for processes near the earth's surface. • Solar radiation is more intense nearer the equator, It affected by surface characteristics, such as slope, aspect, altitude and shading. • Evapotranspiration is the combination of two simultaneous processes: Evaporation and Transpiration (ET) (water loss) • Two types are there Potential (PET) and Effective (EET) • It can be estimated either by directed or non direct methods
  • 43. REFERENCES • J. Balck (1989), groundwater resources assessment, ELSEVIER in co- edition with SNTL , 250P. • C.W.Fetter (2014), applied hydrogeology, Dorling Kindersley India Pvt. Ltd, 4th edition , 612P. • http://www.fao.org/docrep/x0490e/x0490e04.htm#evapotranspiration (et)

Editor's Notes

  1. Evaporation is a process by which water is changed from the liquid or solid state into the gaseous state. it is always related to the loss of water column from a free surface over a fixed time interval. Either direct observation, or a calculation based on the factors involved in the transfer of thermal energy. Transpiration is usually defined as the water exchange through plants between their root systems and the atmosphere. It is always related to the vegetation and often only that water which is spent on the building of plant tissues is considered as transpiration. It is often difficult to separate transpiration from plants and evaporation from a water surface, they are combined together into a term called evapotranspiration.
  2. A process where sunlight is redirect by 180 degrees after it strikes an atmospheric particle. This redirection causes a 100 % “loss” of the solar radiation. Most of the reflection in our atmosphere occurs in clouds when light is intercepted by particles of liquid and frozen water.
  3. In passage through the atmosphere the composition and intensity of solar radiation is modified. About 30% of the incoming solar radiation is reflected back to space, and another portion is absorbed and scattered by the atmosphere. The portion of solar energy that reaches the earth's surface is between 40% and 70% of the extraterrestrial radiation energy, depending primarily on cloud cover.
  4. Hydrologic cycle is an open system powered by solar radiation.
  5. On the other side of the spectrum, radiation can be limited by cloudy days, shade sources or low sun angles.
  6. Transpiration defined as the water exchange through plants between their root systems and the atmosphere. It involves continuous flow of water from soil in to plant and out through stomata (leaves) to the atmosphere. Transpiration Ratio: The amount of water transpired by a crop in its growth to produce unit weight of dry matter.
  7. The ET factor in a water balance may be estimated based upon the vegetation coverage (the type of vegetation is far less significant than the amount of the surface containing vegetation). But if runoff is measured from a “representative” area, and the amount of water that passes below the root and capillary rise depths (let’s call this “true recharge”) is also measured, the ET value can be calculated as precipitation minus the runoff and true recharge.
  8. http://science.howstuffworks.com/nature/climate-weather/storms/trees-affect-weather1.htm
  9. Theoretical amount of moisture that could be lost from the surface to the atmosphere if it were available. The amount of moisture which, if available, would be removed from a given land area by evapotranspiration. Expressed in units of water depth.
  10. ESTIMATION OF EVAPOTRANSPIRATION Direct method Lysimeter experiment Eddy covariance Field experimental plots Soil moisture depletion studies Indirect method By using US-open pan evaporimeter Water balance/budget method Energy balance
  11. ET = P + (I – D) + S WHERE: ET = EVAPOTRANSPIRATION P = PRECIPITATION I = IRRIGATION WATER D = EXCESS WATER DRAINED FROM BOTTOM S = INCREASE OR DECREASE IN STORAGE OF SOIL MOISTURE
  12. At one physical point on the tower, at Time1, Eddy1 moves parcel of air c1 down at the speed w1. Then, at Time2, Eddy2 moves parcel c2 up at the speed w2. Each parcel has gas concentration, pressure, temperature, and humidity. If these factors, along with the speed are known, we can determine the flux. For example, if one knew how many molecules of water went down with eddies at Time 1, and how many molecules went up with eddies at Time2, at the same point, one could calculate the vertical flux of water at this point over this time. So, vertical flux can be presented as a covariance of the vertical wind velocity and the concentration of the entity of interest.
  13. Energy availability - The more energy available, the greater the rate of ET (It takes about 600 calories of heat energy to change 1 gram of liquid water into a gas). Soil characteristics - Soil characteristics that can affect evapotranspiration include its heat capacity, and soil chemistry and albedo. Physical attributes of the vegetation - factors as vegetative cover, plant height, leaf area index and leaf shape and the reflectivity of plant surfaces can affect rates of ET. Physical attributes of the vegetation - as vegetative cover, plant height, leaf area index and leaf shape and the reflectivity of plant surfaces.