Backward-Averaged Iterative Two-Source Surface ...

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4/4/2018

BAITSSS Overview - Ramesh Dhungel

BAITSSS Overview

Ramesh Dhungel

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BAITSSS Overview

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BAITSSS Overview BAITSSS Variables

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BAITSSS Evaluation

1 Background 2 Introduction 3 Approach (see BAITSSS Variables) 4 Data (point or gridded) 5 References

BAITSSS Future Applications

Backward-Averaged Iterative Two-Source Surface temperature and energy balance Solution (BAITSSS) Evapotranspiration Model Background The majority of the operational remote sensing-based surface energy balance models compute evapotranspiration (ET) in a large spatial resolution, which is primarily facilitated by instantaneous thermal-based surface temperature, where thermal images are not readily available in the larger spatial (~ 30-meter) and temporal resolution (~ hourly and daily) concurrently. These models utilize instantaneous evaporative fraction (ETrF) or evaporative fraction (EF) and reference ET (ETr) while computing the seasonal ET, while any error in these fractions and ETr can propagate because of the absence of the cloud-free images along with multiple other factors (i.e. lack of direct physical based surface energy and water balance model to incorporate irrigation and precipitation for both bare soil and vegetative canopy). To address some of these difficulties, Dhungel et al.,2016 developed a weather-based physical ET algorithm by integrating the surface energy balance and soil water balance.

Introduction Backward-Averaged Iterative Two-Source Surface temperature and energy balance Solution (BAITSSS), Dhungel et al., 2016 - developed by Dr. Ramesh Dhungel and Water Resources Group of Kimberly Research and Extension Center, University of Idaho between 2010 and 2014 (continually modified and improved), a physically-based evapotranspiration (ET) model capable of point scale and landscape simulation of soil water using a vegetative canopy, soils and weather data. BAITSSS uses Python Shell based NumPy and Geospatial Data Abstraction Library (GDAL) programming (open-source) in hourly or smaller time steps in 30-meter or smaller grids; and automated gridded weather data from NLDAS (or weather stations) and vegetation indices such as measured leaf area index (LAI) or satellite input acquisition (Normalized Difference Vegetation Index (NDVI) and LAI).

Approach (see BAITSSS Variables) https://sites.google.com/site/dhun9265/BAITSSS

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BAITSSS Overview - Ramesh Dhungel BAITSSS establishes radiative, convective, and conductive components of the surface energy balance for soil and canopy surfaces. BAITSSS simulates environmental variables in hourly or smaller time (desired time based on available input) steps in a point or 30-meter grids (~ Landsat pixel spatial resolution) (see BAITSSS Evaluation using 15-minute point weather data and hourly gridded weather data). BAITSSS assumes the vertical transfer of fluxes, vapor pressure, and water without lateral interactions between the cells. BAITSSS integrates fluxes from soil and canopy using the fraction of vegetation cover (fc) based on the vegetation indices. BAITSSS utilizes the standard and complete surface energy balance with the fundamental aerodynamic equations of latent heat flux (LE) and sensible heat flux (H) combined with a Jarvis-type canopy resistance (rsc) model (Jarvis, 1976). BAITSSS adopts some primary resistances formulation from Jarvis, 1976; Sun, 1982; Shuttleworth and Wallace, 1985; Choudhury and Monteith, 1988. BAITSSS computes the sensible heat flux of soil (Hs) and canopy (Hc) as a residual in the surface energy balance, which is internally calibrated while computing the soil surface temperature (Ts) and canopy temperature (Tc) (Figures 1 and 2). BAITSSS estimates ground heat flux based on Hs or Rn_s (Allen et al., 2011) assuming no contribution from the vegetated portion.

Figure 1: BAITSSS Latent heat (LE) (left) and Sensible heat flux (H) (right) model (Dhungel et al.,2016). BAITSSS iteratively solves the surface energy balance components with Monin-Obukhov stability parameters for each time step to calculate the surface temperature at the soil surface (Ts) and canopy level (Tc) (Figure 2, (Dhungel et al,, 2016)).

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BAITSSS Overview - Ramesh Dhungel

Figure 2: Flow chart of BAITSSS convergence (Dhungel et al.,2016). Canopy resistance (rsc) computed from the Jarvis-type formulation uses weighing functions representing plant response to solar radiation (F1), air temperature (F2), vapor pressure deficit (F3), and soil moisture at the root zone (F4) (Alfieri and Niyogi, 2008; Kumar et al., 2011), each varying between 0 (infinite resistance) to 1 (no resistance).

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BAITSSS Overview - Ramesh Dhungel

Figure 3: a) F4 function for Jarvis-type model developed from available water fraction (AWF) (Anderson et al., 2007, Dhungel et al.,2016), b) An illustration of the relationship between soil surface resistance (rss) and soil surface moisture (θsur) (Sun, 1982). BAITSSS implements a two-layered soil water balance model, i.e., soil surface (100 mm) and root zone (500 mm - 2000 mm) to track soil evaporation (Ess) and transpiration (T) separately (Figure 3).

Figure 4: a) An illustration of BAITSSS utilizing hourly NLDAS and linearly interpolated NDVI and LAI from satellite acquisition (left), b) BAITSSS soil water balance model (right) (Dhungel et al.,2016). BAITSSS restricts the soil surface and root zone moisture to the field capacity, i.e., water above field capacity either become run-off or deep percolated below the root zone. BAITSSS simulates irrigation in agricultural landscape using Management Allowed Depletion (MAD) and threshold soil moisture at the root zone (Figures 4b and 5).

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BAITSSS Overview - Ramesh Dhungel

Figure 5: BAITSSS irrigation sub-model with different soil moisture and parameters (Dhungel et al.,2016). BAITSSS is intended to be a tradeoff between complexity and accuracy, to achieve operational ease with minimum data requirements and improve Ess and T partitioning.

Data (point or gridded) BAITSSS generates a large number of variables primarily from five major meteorological forcing (see BAITSSS Variables). Meteorological forcing Gridded hourly weather data from NLDAS ~ 12.5 km Incoming solar radiation Wind speed Air temperature Relative humidity or specific humidity for the actual vapor pressure Precipitation Non-meteorological inputs (satellite-based indices from EarthExplorer) Vegetation indices (NDVI, LAI) Elevation (DEM) Soil data (field capacity, wilting point, and saturated soil moisture) Supplementary inputs National Land Cover Database (NLCD) Cropland data layer (CDL)

References Dhungel, R., Allen, R. G., Trezza, R., & Robison, C. W. (2016). Evapotranspiration between satellite overpasses: methodology and case study in agricultural dominant semi‐arid areas. Meteorological Applications, 23(4), 714-730.

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BAITSSS Overview - Ramesh Dhungel Dhungel, R., Allen, R. G., & Trezza, R. (2016). Improving iterative surface energy balance convergence for remote sensing based flux calculation. Journal of Applied Remote Sensing, 10(2), 026033. Sun, S.F. (1982). Moisture and heat transport in a soil layer forced by atmospheric conditions. M.S. Thesis, Department of Civil Engineering, University of Connecticut. Dhungel, R., Aiken, R., Colaizzi P., Lin, X., O’Brien, D., Baumhardt, L., Brauer, D., Marek, G., Steve Evett (2018). Landscape-scale crop water productivity model supporting multiyear water management decisions. Central Plains Irrigation Association 2018 Conference, Colby, KS, 2018. Dhungel, R., Aiken, R., Colaizzi P., Lin, X., O’Brien, D., Baumhardt, L., Brauer, D., Marek, G., Steve Evett (2018). Landscape-scale crop water productivity model supporting multiyear water management decisions. OAP Workshop March 27-29 2018 Lubbock Texas.

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BAITSSS Variables - Ramesh Dhungel

BAITSSS Variables

Ramesh Dhungel

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[email protected] Updated 9 hours ago

BAITSSS Overview

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BAITSSS Overview BAITSSS Variables

BAITSSS Variables

BAITSSS Evaluation

Table 1: BAITSSS variables and imposed limits (Dhungel et al., 2016)

BAITSSS Future Applications Variable

Symbol

Min.

Max.

Units

Actual vapor pressure of the air

ea

-

-

kPa

Aerodynamic resistance between the substrate and canopy height (d + zom)

ras

-

-

m s-1

Aerodynamic resistance from canopy height to blending height

rah

1

500

m s-1

Air Temperature

Ta

-

-

K

Albedo canopy

αc

0.15

0.24

-

Albedo soil

αs

0.15

0.28

-

Atmospheric density

ρa

-

-

Kg m-3

Bulk boundary layer resistance of the vegetative elements in the canopy

rac

0

5000

m s-1

Canopy resistance

rsc

0

5000

m s-1

Canopy temperature

Tc

265

350

K

Combined (bulk) Sensible heat flux

H

-200

500

W m-2

Emissivity for canopy portion

εo_c

-

-

-

Emissivity for soil portion

εo_s

-

-

-

Fraction of vegetation cover

fc

0.05

1

-

Friction velocity

u*

0.01

500

m s-1

Ground heat flux

G

-200

200

W m-2

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BAITSSS Variables - Ramesh Dhungel Height of canopy

hc

-

-

m

Latent heat of vaporization for vegetation portion

λc

-

-

Incoming longwave radiation

RL↓

-

-

W m-2

Incoming solar radiation

RS↓

-

-

W m-2

Integration constant

Z1

-

-

m

Latent heat flux for canopy

LEc

-

-

W m-2

Latent heat flux for soil

LEs

-

-

W m-2

Latent heat of vaporization for soil portion

λs

-

-

J/kg

Leaf area index

LAI

fc

-

-

Management allowable depletion

MAD

-

-

%

Mean boundary layer resistance per unit area of vegetation

rb

0

-

s m-1

Measurement height

Z

-

-

m

Minimum roughness length

zos

0.01

-

m

Net Radiation

Rn

-

-

W m-2

Net Radiation of canopy portion

Rn_c

-

-

W m-2

Net Radiation of soil portion

Rn_s

-

-

W m-2

Readily available water

RAW

-

-

m3 m-3

Relative humidity

RH

-

-

%

Roughness length of heat

zoh

-

-

m

Roughness length of momentum

zom

0.01

-

m

Saturation vapor pressure at the canopy surface

eoc

-

-

kPa

Saturation vapor pressure at the soil surface

eos

-

-

kPa

Sensible heat flux for canopy portion

Hc

-200

500

W m-2

Sensible heat flux for soil portion

Hs

-200

500

W m-2

Soil moisture at field capacity

θfc

-

-

m3 m-3

Soil moisture at root zone

θroot

-

-

m3 m-3

Soil moisture at saturation

θsat

-

-

m3 m-3

Soil moisture at soil surface

θsur

-

-

m3 m-3

J/kg

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BAITSSS Variables - Ramesh Dhungel Soil moisture at wilting point

θwp

-

-

m3 m-3

Soil surface evaporation

Ess

0.0001

-

mm hr-1

Soil surface resistance

rss

35

5000

m s-1

Soil surface temperature

Ts

265

350

K

Specific heat capacity of moist air

cp

Stability correction parameter

ψ

-

-

-

Threshold moisture content

θt

-

-

m3 m-3

Total available water

TAW

-

-

m3 m-3

Transpiration

T

0.0001

-

mm hr-1

Wind speed

uz

-

-

m s-1

J (kg K)-1

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BAITSSS Evaluation (Ramesh Dhungel)

BAITSSS Evaluation

Ramesh Dhungel

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BAITSSS Overview

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BAITSSS Variables BAITSSS Evaluation BAITSSS Future Applications

BAITSSS Evaluation Point Scale ET BAITSSS was executed and evaluated with the 15-minute ground-based weather data ( ~ 13,000 times) and later hourly averaged to compare the lysimeter ET, measured surface temperature from IRT, and net radiation from net radiometers (only a small section of the results is presented here) for a fully irrigated drought-tolerant corn (Zea mays L. cv. PIO 1151) between May 23 (DOY 143) and September 26 (DOY 270), 2016 for continuous 127 days in a highly advective weather of Bushland, TX. The evaluation period includes from planting to maturity with a wide range of environmental (wetting, drying, and environmental cooling process like precipitation), surface (bare, partial, and full cover), and plant physiological conditions (growing to leaf senescence period). The simulated surface temperature from BAITSSS mimicked the behavior of IRT (for both drying and wetting period) with some positive bias during the complete canopy cover in certain hours of the day (11 am - 2 pm, possibly due to the highly advective environment), though simulated ET was statistically similar to lysimeter during this period. BAITSSS was able to predict ET, surface energy balance fluxes, and other variables with a reasonable accuracy while compared to lysimeter, ground-based IRT, and net radiometers. Comparison between BAITSSS and lysimeter ET (Figures 6a and 6b) with a linearly interpolated LAI from destructive sampling method in a semi-arid advective climate of Bushland, Texas between 05/22/2016 and 09/27/2016.

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a)

b) Figure 6: a) Comparison (Uncalibrated blind test) of daily evapotranspiration (ET), lysimeter, and revised BAITSSS ET, b) daily and hourly ET scatterplot of fully irrigated corn between May 22 (DOY 143) and September 26 (DOY 270), 2016, Bushland, TX.

Landscape ET Evapotranspiration (ET) from BAITSSS using hourly North American Land Data Assimilation System (NLDAS) (~ 12.5 km resolution meteorological data) and satellite-based Landsat 7 and 8 (30-meter pixel size, Path 31 and Row 36) based on linearly interpolated vegetation indices (NDVI and LAI) in Parmer County, TX (~ 12 miles * 12 miles) between 05/22/2016 and 09/27/2016, by executing BAITSSS each hour ~ 3072 times) (Figure 7).

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Figure 7: Preliminary result of the Seasonal landscape ET from BAITSSS masked for the individual crop i.e., corn, at Parmer County, Texas between May 22 (DOY 143) and September 27 (DOY 271), 2016, Bushland, TX.

References Dhungel, R., Aiken, R., Colaizzi P., Lin, X., O’Brien, D., Baumhardt, L., Brauer, D., Marek, G., Steve Evett (2018). Landscape-scale crop water productivity model supporting multiyear water management decisions. Central Plains Irrigation Association 2018 Conference, Colby, KS, 2018. Dhungel, R., Aiken, R., Colaizzi P., Lin, X., O’Brien, D., Baumhardt, L., Brauer, D., Marek, G., Steve Evett (2018). Landscape-scale crop water productivity model supporting multiyear water management decisions. OAP Workshop March 27-29 2018 Lubbock Texas.

Copyright © 2018, Ramesh Dhungel, Ph.D., Kansas State University.

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BAITSSS Future Applications - Ramesh Dhungel

BAITSSS Future Applications

Ramesh Dhungel

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[email protected] Updated an hour ago

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BAITSSS Overview BAITSSS Variables BAITSSS Evaluation BAITSSS Future Applications

BAITSSS Future Applications The success of quantifying various environmental variables including surface and canopy temperature, and ultimately ET would help to develop a multi-year water management plans where agriculture is facing a sharp decline in irrigation withdrawals around the world. Maintaining farm profitability with reduced irrigation can be supported by knowledge and management of risks associated with inter-annual and multi-year water management decisions. A working knowledge of landscape- and regional scale-effects on water dynamics can build on the success of current decision-support tools and identify opportunities to exploit climate-informed water management synergisms at landscape scales. The physicallybased modeling tool like BAITSSS can help to provide critical information: To provide information regarding consumptive water use, net primary productivity, and yield formation for multi-year crop systems ranging from dryland to full irrigation. To develop a tool that supports analysis of water management policies on net economic returns at the farm and regional levels.

References Dhungel, R., Aiken, R., Colaizzi P., Lin, X., O’Brien, D., Baumhardt, L., Brauer, D., Marek, G., Steve Evett (2018). Landscape-scale crop water productivity model supporting multiyear water management decisions. Central Plains Irrigation Association 2018 Conference, Colby, KS, 2018. Dhungel, R., Aiken, R., Colaizzi P., Lin, X., O’Brien, D., Baumhardt, L., Brauer, D., Marek, G., Steve Evett (2018). Landscape-scale crop water productivity model supporting multiyear water management decisions. OAP Workshop March 27-29 2018 Lubbock Texas.

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