Assessing bias in satellite rainfall products and their impact in water balance closure at the Zambezi headwaters

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Assessing bias in satellite rainfall products and their impact in water balance closure at the Zambezi headwaters Omondi C.K. 1 Rientjes T.H.M. 1, Haile T.A. 2, Gumindoga W. 1,3 (1) Faculty ITC, University of Twente, THE NETHERLANDS (2) International Water management Institute (IWMI), ETHIOPIA (3) Department of Civil Engineering, University of Zimbabwe, ZIMBABWE, c.k.omondi@utwente.nl RCMRD 2017 27 29 September 2017

Outline Introduction Objectives Methodology Results Conclusion

Introduction In-situ meteorological data limitations. Satellite rainfall estimates (SREs) prone to error. SREs accuracy is affected by seasonal variations. Use of bias corrected SREs in streamflow simulations at the Zambezi headwaters.

Objectives Assess performance of 3 satellite rainfall products for streamflow simulation (2008-2012) Specifically: a) SREs error analysis and comparison (occurrence, depth, error decomposition). b) compare SREs bias correction algorithms for different rain rates and seasons. c) parameterize TOPMODEL RR model using RS data. d) assess water balance closure as affected by use of bias corrected satellite rainfall.

Methodology Satellite products Satellite rainfall and evaporation products Ground measurements Ground measurements CMORPH TMPA CHIRPS FEWSNET Gauge Rainfall Discharge PET variables SREs pre-processing Rainfall data quality assessment Rainfall products performance evaluation Bias corrections Modified TopMODEL IDL code TopMODEL application Calibration using gauge & bias corrected SREs Streamflow Sensitivity & simulations statistical 2008-2012 error analysis Validation Model parameters Comparison of simulated hydrograph processes Water balance closure analysis

a) In-situ & discharge data (2008-2012) Station Coordinates of station Type of meteorological variable from the station ID Name Lat. Lon. Altitude P Tmax Tmin RH WS SS 675430 Kabompo -1360 +02420 +1075 x x x x x 676410 Kaoma -1480 +02480 +1213 x x x x x 675410 Kasempa -1353 +02585 +1234 x x x x 674410 Mwinilunga -1175 +02443 +1363 x x x x x x 675510 Solwezi -1218 +02638 +1386 x x x x x 675310 Zambezi -1353 +02311 +1078 x x x x x x P rainfall, Tmax - daily maximum temperature. Tmin daily minimum temperature, RH relative humidity, WS wind speed and SS sunshine hours

b) Satellite rainfall estimates products Rainfall product CMORPH TMPA CHIRPS Provider NOAA-CPC NASA CHG, USGS Spatial coverage 60 N to 60 S, globally 50 N to 50 S, globally 50 N to 50 S, across all longitudes Temporal coverage Since 01.01.1998 since 01.01.1998 Since 01.01.1981 Period tested 2008-2012 2008-2012 2008-2012 Original/ used spatial resolution 0.07 / 0.05 0.25 / 0.05 0.05 Original/ used time step ½ h / 24 h 3 h / 24 h 24 h Stream line Contour line c) SRTM 90m digital elevation model d) TOPMODEL

Annual rainfall [mm] Elevation [masl] Results Elevation influence on satellite rainfall detections 1500 1300 Gauge TMPA Elevation CHIRPS CMORPH 1375 1300 1100 1225 900 1150 700 1075 500 Zambezi Kaoma Kasempa Mwinilunga Solwezi 1000 Elevation SREs rainfall measured at the stations. TMPA > Gauge rainfall accumulations unlike CMORPH & CHIRPS. CMORPH underestimates mean annual gauge rainfall.

Standard deviation [mm d -1 ] 0.0 Satellite estimates versus gauge rainfall (reference) o SREs underestimated (Max & തP) gauge rainfall depths. o CHIRPS had the largest daily deviation (1.05 mm) from തP. o CMORPH shows highest bias (1.56 mm d -1 ) while TMPA (<0.05 mm d -1 ). 10 8 6 4 T4 Taylor s diagram M2 M4 T3 M3 M1 P3 T2 T5 M5 P4 P2 T1 P5 P1 T-CMORPH P-CHIRPS M-TMPA o Rainy seasons and high rainfall events exhibit higher bias. 2 0 1.0 0 2 4 6 8 REF 10 Standard deviation [mm d -1 ] 1: Kaoma, 2: Kasempa, 3: Mwinilunga, 4: Solwezi, 5: Zambezi

CHIRPS TMPA CMORPH CHIRPS TMPA CMORPH CHIRPS TMPA CMORPH CHIRPS TMPA CMORPH CHIRPS TMPA CMORPH Bias [mm d-1] Sources of SREs errors CHIRPS, TMPA and CMORPH s main error source are miss, false and hit bias, resp. Error sources are season dependent, conforming to Ward et al. (2011). Hit and false bias prevailed for wet and dry periods, resp. 1,50 0,00-1,50 Hit bias Miss bias False bias -3,00 Kaoma Kasempa Mwinilunga Solwezi Zambezi

Bias correction algorithms compared 1 st rank 2 nd rank 3 rd rank Evaluation coef./ BC DT TVSV TVSF TFSV TFSF Total P depth Maximum Mean STD Correlation coef. RMSE Error reduction Rain rate patterns Effectiveness vary depending on evaluation indicator. Deterioration on correction (e.g. BF DT: 1.14 vs uncorrected CMORPH: 0.95).

1600 1400 TOPMODEL hydrologic evaluation (Gauge) Discharge [m 3 s -1 ] 1200 1000 800 600 400 Simulated Observed Calibration (09/2009-08/2012) NS: 0.65 RV E : 10.03% 200 0 Sep-2009 Mar-2010 Sep-2010 Mar-2011 Sep-2011 Mar-2012 Sep-2012 1600 1400 1200 Observed Simulaed Discharge [m 3 s -1 ] 1000 800 600 400 200 0 Aug-07 Sep-07 Oct-07 Nov-07 Dec-07 Jan-08 Feb-08 Mar-08 Apr-08 May-08 Jun-08 Jul-08 Aug-08 Sep-08 Oct-08 Nov-08 Validation (09/2007-11/2008) NS: 0.57 RV E : 21.2% Dec-08

1400 1200 Gauge observed Uncorrected CHIRPS Corrected CHIRPS Discharge [m 3 s- 1 ] 1000 800 600 400 200 0 Sep-09 Mar-10 Sep-10 Mar-11 Sep-11 Mar-12 Sep-12 Uncorrected Bias corrected Discharge [m 3 s- 1 ] 1600 1400 1200 1000 800 600 NS 0.6 0.67 RV E 11.82% 5.81% Gauge observed Corrected TMPA Corrected CHIRPS Corrected CMORPH 400 200 0 Sep-09 Mar-10 Sep-10 Mar-11 Sep-11 Mar-12 Sep-12

Water balance closure assessment Un-corrected Corrected WB components [mm] In- situ TMPA CHIRPS CMORPH TMPA CHIRPS CMORPH Precipitation 2414 4006 3639 3026 2655 2649 2635 Actual ET 1950 2424 2566 2440 2207 2199 2207 Simulated Q 479.2 493.7 489.9 366.9 457.7 463.8 437.0 Root zone storage deficit 9.0 69.3 100.0 97.8 16.8 20.2 23.4 Catchment Sat. deficit 52.4 1963.0 678.7 275.5 38.9 41.7 97.0 WB Closure Error 46.2 3120.6 1361.8 592.4 46.0 48.1 111.4 WB Closure Error, [%] 1.9 77.9 37.4 19.6 1.7 1.8 4.2 NS [-] 0.64 0.78 0.60 0.45 0.53 0.67 0.52 RV E [%] 10.03 11.82 11.82-16.42 4.80 5.81 9.99 o o o SREs over-simulated P, ETa and RZ storage vs in-situ forcing. Bias corrected satellite rainfall result in improved water balance closure. Compared to in-situ, corrected CMORPH resulted in deteriorated WB closure

Conclusion and Recommendation Conclusion: o Satellite rainfall detection can be related to seasonal variations in Kabompo. o Bias corrected satellite rainfall resulted in improved water balance closure. o No perfect fit of observed Q could be modelled by respective rainfall forcings. Recommendation: o Incorporate omitted rain gauge stations in CHIRPs blending procedure. o Further investigations a/o validation of rainfall and discharge time series OR increase no. of met. stations in the basin. o Assess how seasonality effects can be incorporated in SREs product s algorithms.

References Omondi, C. K. (2017). Assessment of bias corrected satellite rainfall products for streamflow simulation: A TOPMODEL application in the Kabompo River Basin, Zambia. ITC MSc. Thesis. University of Twente Faculty of Geo-Information and Earth Observation (ITC). http://www.itc.nl/library/papers_2017/msc/wrem/omondi.pdf

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