SENSIBLE HEAT FLUX ESTIMATION USING SURFACE ENERGY BALANCE SYSTEM (SEBS), MODIS PR

ODUCTS, AND NCEP REANALYSIS DATA

Yuanyuan Wanga, Xiang Lia,b

a, National Satellite Meteorological Center, China Meteorological Administrationb, Nanjing University of Information Science & Technology

1. INTRODUCTION

2. METHODOLOGY

3. DATA

4. RESULTS AND ANALYSIS

5. DISCUSSION AND CONCLUSION

OUTLINE:

1. INTRODUCTION

• This paper used the Surface Energy Balance System (SEBS) to estimate the regional sensible heat flux, fully using the advantages of temporal and spatial resolutions of MODIS data and the height of the Planetary Boundary Layer of NCEP reanalysis data. In addition, a new approach which deriving the value of roughness length of momentum transport was being used in this paper to improve the accuracy of calculation. Based on the LAS continuously measurements at Arou site and sensible heat predictions data provided by NCEP, regional sensible heat flux in Arou area estimated by MODIS data and NCEP data extended over several months were validated.

• The results demonstrated that running SEBS model with NCEP meteorological data was feasible.

• And a sensitivity analysis for , and has been performed in order to investigate how the variable affect the result of regional sensible heat flux calculated by SEBS. T 0mz _u pbl

To estimate the components of energy balance • Conventional techniques : point measurements ( point scales )

• Recently : Remote sensing ( regional scales )

Validation of estimated sensible heat flux• Conventional techniques : point measurements ( point scales ) i.e. Bowen ratio system, Eddy correlation system

• Recently : Large Aperture Scintillometers (LAS) ( regional scales )

1. INTRODUCTION

1. INTRODUCTION • The roughness length of momentum can be derived from wi

nd and temperature profiles in the past.

• disadvantage :a. sensitive to measurement errors ;

b. rejecting a large number of valuable datasets under non-neutral conditions .

• Since is physically related to the underlying surface and not s

ensitive to the diurnal variation of atmospheric stability, a new approach to derive the value of proposed by Kun Yang(2003).

• can be considered constant over a short period, In this paper, the short periods of time means 30 days (1 month).

0mz

0mz

0mz

Fig.2 The structure SEBS (Wang et al., 2008)

1. INTRODUCTION

2. METHODOLOGY• Surface energy balance equation in its instantaneous form is

expressed as :

Where: is the net radiation, is the soil heat flux, is the turbulent sensible heat flux, and is the turbulent latent heat flux.

the soil heat flux is estimated as:

Where :‘ ’ and ‘ ’ are the proportions of for full cover and bare soil, fixed as 0.05 and 0.315 respectively. The fractional vegetation cover ‘ ’ weights between limiting

cases.

0Rn G H E Rn 0G H

E

0 1c c s cG Rn f

c scf

0 /G Rn

2. METHODOLOGYInnovations of SEBS:

(1)Following the full canopy only model of Choudhury and Monteith (1988), a bare soil surface of Brutsaert (1982), SEBS describes the parameterization method to interaction between vegetation and bare soil surface.

Then, the roughness length for heat transfer can be derived by:

21

*

0*

2

2/*

1 )(2

)1()(

4ss

t

m

sccn

t

d fkBC

h

z

hu

uk

fffe

hu

uC

kCkB

ec

)exp(/ 100

kBzz mh

2. METHODOLOGY(2) In order to derive the actual sensible heat flux H , use is made of the similarity theory.

Where, is the potential temperature at the surface ， is the potential temperature at PBL .

Definding the reference height:

If the reference height z_pbl≥hst(the height of Atmospheric Surface Layer) ， BAS set of equation applied ； otherwise z_pbl ＜ hst ， MOS does.

0max(0.12 _ ,125 )mhst z pbl z

)()()ln( 00

0

0*

L

z

L

dz

z

dz

k

uu m

mmm

)()()ln( 00

0

0

*0 L

z

L

dz

z

dz

Cku

H hhh

hpa

kgH

uCL vp 3

*

0 a

2. METHODOLOGY(3) Considering energy balance at limiting cases, then the derived ‘H’ is further subjected to constraints in the range set by the sensible heat flux at the wet limit Hwet, and at dry limit Hdry in SEBS.

●Under the dry-limit, the latent heat becomes zero due to the limitation of soil moisture, and the sensible heat flux is at its maximum value.

or

●Under the wet-limit, where the evaporation takes place at potential rate, (i.e. wet the evaporation is only limited by the available energy under the given surface and atmospheric conditions), the sensible heat flux takes its minimum value.

0 0dry dryE Rn G H 0dryH Rn G

0wet wetE Rn G H

LAS measurements :• Arou County, east of Qinghai province • covered with grasslands and with an altitude about 3000 m • The LAS made measurements along a path between transmitter (38°03′24.3

″N, 100°28′16.4″E) and receiver (38°02′18.1″N, 100°27′25.9″E) with distance of 2390 m.

Fig.3 The location of LAS on MODIS pixels;• Where, T is the transmitter of LAS located on MODIS pixel;

R is the receiver of LAS located on MODIS pixel.

3. DATA

T

R

MODIS products and preprocessing · ALBEDO

· EMISSIVITY

NCEP data and preprocessing

0.2 _ 0.8 _albedo wsa sw bsa sw

31 320.4587 0.5414emissivity

The meteorological parameters of NCEP data The name of variables

planetary boundary layer height （ h_pbl ） HPBL (m)

Temperature （ t_pbl ） TMP (K)

Pressure （ p_pbl ） PRES (Pa)

Speed of wind （ u_pbl ） UGRD /VGRD (m/s)

Relative humidity （ hr_pbl ） RH (%)

Downward shortwave radiation flux （ swgclr ）

DSWRF (w/m2)

3. DATA

● Previous research using empirical relationship :

● a new approach to derive the value of proposed by Kun Yang(2003) is being used in this paper.

According to this, can be considered constant over a short period, since is physically related to the underlying surface and not sensitive to the diurnal variation of atmospheric stability.

● the specific values of from May to September in 2011 are as follows (Table 1. ):

Table.2 values being used in this paper

2.50 0.005 0.5 ( )

max( )m

NDVIz

NDVI

(m) MAY. JUN. JULY. AUG. SEPT.

0.0247 0.04187 0.04438 0.05299 0.04048

0mz

0mz

3. DATA

4. RESULTS AND ANALYSIS4.1 Comparison between Sensible heat from SEBS and LAS

Fig.2 Comparsion between SEBS-predicted sensible heat flux and LAS observation from Jul. to Sept.

0

50

100

150

200

250

300

0 50 100 150 200 250 300

Sensi bl e Heat From LAS Observat i on(W/ m2)

Sens

ible

Hea

t Fr

om S

EBS(

W/m

2 )

Cor . =0. 71RMSE = 64. 27rel at i ve RMSE= 0. 43

4. RESULTS AND ANALYSIS4.1 Comparison between Sensible heat from SEBS and LAS

Table.3 Comparsion between SEBS-predicted sensible heat flux and LAS observation from Jul. to Sept.

Periods Jul.-Sept. May-Sept.

SEBS estimated mean 167.6097 194.03

s.d. 89.63643 128.90

LAS measured mean 147.3592 147.36

s.d. 24.82358 25.89

4. RESULTS AND ANALYSIS4.2 Comparison between Sensible heat from SEBS and NCEPAs for means and standard deviation, SEBS outputs showed higher values, suggesting SEBS overestimated sensible heat with more fluctuations compared to LAS measurements (Table.4).

Table.4 Statistics of sensible heat (w/m2) from LAS observation, SEBS-predicted and NCEP sensible heat flux data

Periods Jul.-Sept. May-Sept.

SEBS estimated mean 167.6097 194.03

s.d. 89.63643 128.90

LAS measured mean 147.3592 147.36

s.d. 24.82358 25.89

NCEP data mean 158.5419 164.78

s.d. 55.09799 62.69

4. RESULTS AND ANALYSIS

Month R RMSE(w/m2) RRMSE

May 0.63 88.54 0.38

Jun. 0.93 110.78 0.65

Jul. 0.81 77.78 0.77

Aug. 0.54 56.91 0.38

Sept. 0.74 83.38 0.55

4.2 Comparison between Sensible heat from SEBS and NCEP

Table.5 The Root Mean Square Error (RMSE), Relative Root Mean Square Error (RRMSE) and Correlation Coefficient (r) of SEBS-predicted sensible heat flux and NCEP sensib

le heat flux data

4. RESULTS AND ANALYSISFrom July to September, the disparity between SEBS results and LAS measurements was smaller. When results from May and June were taken into account, the disparity increased. This was probably related to the vegetation condition.

· Before July, the surfaces are nearly bare soil with sparse vegetation;

· From July to the end of August, the surfaces are partially covered by growing grasses.

· After September the surfaces are covered by mature grasses .

The better Hs estimation from July to September suggests SEBS is more applicable for dense vegetation.

4. SENSITIVITY ANALYSIS 4.1 SENSITIVITY ANALYSIS According to the sensible heat flux defined by equation in SEBS

So we performed a sensitivity analysis on three variables, which are temperature difference between ground surface and reference height ( ), wind speed at PBL( ), and surface roughness for momentum transport ( ).

Three typical dates (respectively are 21,June, 11,Aug. and 22,Sept.) were chosen for sensitive analysis. For each date, one parameter was varied and others were fixed. Fig 3-5 showed the results.

s ap

a

T TH C

r

T _u pbl

0mz

)]()([ln1 0

0* L

z

L

dz

z

dz

kur h

hhh

a

0

50

100

150

200

250

300

350

400

450

500

0 0. 1 0. 2 0. 3 0. 4 0. 5z0m(m)

Sens

ible

hea

t fl

ux H

(w/m

2 )

21, J une

22, Sept.

11, Aug.

z0m=0. 111m

Fig 3. Sensitivity of sensible heat flux(H) when varying from 0.01m to 0.4m

4. SENSITIVITY ANALYSIS

0

50

100

150

200

250

300

350

400

450

500

0 5 10 15 20 25 30 35 40Temperature di ff erence △ T(k)

Sens

ible

hea

t fl

ux H

(w/m

2 )

21, J une

22, Sept.

11, Aug.

△ T=14. 0k

Fig 4. Sensitivity of sensible heat flux(H) when varying from 2k to 34k

4. SENSITIVITY ANALYSIS

0

50

100

150

200

250

300

350

400

450

500

0 5 10 15 20 25Wi ndspeed at PBL u_pbl (m/ s)

Sens

ible

hea

t fu

lx H

(w/m

2 )

21, J une

22, Sept.

11, Aug.

Fig 5. Sensitivity of sensible heat flux(H) when varying u_pbl from 1 m/s to 20 m/s

4. SENSITIVITY ANALYSIS

●Sensitivity analysis showed , and all influenced sensible heat strongly. However, the influence disappeared when sensible heat reached the maximum value under dry limit. Besides, the relationship between and sensible heat flux was linear, while for other two parameters, the relationship was non-linear.

4. SENSITIVITY ANALYSIS

_u pbl T0mz

T

5. DISCUSSION AND CONCLUSION ● Although NCEP meteorological data is on 1x1 degree grids, it can still be used with meso-scale remote sensing data to get high-quality sensible heat results given the strong correlation between NCEP and SEBS.

● NCEP data may not be appropriate for geostationary satellite data to calculate sensible heat at morning or night time when the height of PBL is small.

● However, LAS measurements were line-averaged over 3km and integrated over 30 minutes. SEBS model outputs were instantaneous and pixel-averaged. The mismatch could be another source of error.

● To get more accurate sensible heat with SEBS model, local parameterization scheme on roughness length of momentum, and higher resolution meteorological information maybe needed.

● More in-depth researches are forthcoming in the future.