1 Upstream Satellite Remote Sensing for River Discharge Prediction 2 Downstream: Application to Major Rivers in South Asia 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 1 23 Abstract 24 In this work we demonstrate the utility of satellite remote sensing for river discharge nowcasting 25 and forecasting for two major rivers, the Ganges and Brahmaputra, in southern Asia. Satellite 26 microwave sensing of the river and floodplain at more than twenty locations upstream of 27 Hardinge Bridge (Ganges) and Bahadurabad (Brahmaputra) gauging stations are used to: 1) 28 examine the capability of remotely sensed flow information to track the downstream propagation 29 of flood waves and 2) evaluate their use in producing river flow nowcasts, and forecasts at 1-15 30 days lead time. The pattern of correlation between upstream satellite data and in situ 31 observations of downstream discharge is used to estimate wave propagation time. This pattern of 32 correlation is combined with a cross-validation method to select the satellite sites that produce 33 the most accurate river discharge estimates in a regression model. The results show that the well- 34 correlated satellite-derived flow (SDF) signals were able to measure the propagation of a flood 35 wave along both river channels. The daily river discharge nowcast produced from the upstream 36 SDFs has Nash-Sutcliffe coefficient of 0.8 for both rivers; and the 15 day forecasts have Nash- 37 Sutcliffe coefficient of 0.53 and 0.56 for the Ganges and Brahmaputra respectively. Overall, we 38 conclude that satellite-based flow estimates are a good source of surface water information in 39 data-scarce regions and that they could be used for data assimilation and model calibration 40 purposes in near-time hydrologic forecast applications. 41 42 43 44 2 45 1. Introduction 46 River flow measurements are critical for hydrological data assimilation and model calibration 47 in flood forecasting and other water resource management issues. In many parts of the world, 48 however, in situ river discharge measurements are either completely unavailable or are difficult 49 to access for timely use in operational flood forecasting and disaster mitigation. In such regions, 50 flood inundation information derived from microwave remote sensors (e.g. Smith, 1997; 51 Brakenridge et al., 1998; Brakenridge et al., 2005; 2007; Bjerklie et al., 2005; Temimi et al., 52 2005; Smith and Pavelsky, 2008; De Groeve, 2010 and Birkinshaw et al., 2010) and/or surface 53 water elevation estimated from satellite altimetry (e.g. Birkett, 1998; Alsdorf et al., 2000, 54 Alsdorf et al., 2001, Jung et al., 2010) could be used as an alternative source of surface water 55 information in hydrologic applications. 56 Brakenridge et al. (2007) demonstrate, through testing over different climatic regions of the 57 world, including rivers in the Unites States, Europe, Asia and Africa, that satellite passive 58 microwave data can be used to estimate river discharge changes, river ice status, and watershed 59 runoff. The method uses the large difference in 37.5 Ghz, H-polarized, night-time “brightness 60 temperature” (upwelling radiance) between water and land to estimate the in-pixel proportion of 61 land to water, on a near-daily basis over a period of more than 10 years. The measurement pixels 62 are centered over rivers, and are calibrated by nearby reference pixels over dry land to remove 63 other factors affecting microwave emission (a ratio is calculated). The resulting signal is very 64 sensitive to small changes in river discharge. The data were obtained by the the Advanced 65 Microwave Scanning Radiometer–Earth Observing System (AMSR-E) aboard NASA’s Aqua 66 satellite. 3 67 Using the same data from AMSR-E, De Groeve et al. (2006) provide a method to detect 68 major global floods on a near-real time basis. De Groeve (2010) shows in Namibia, southern 69 Africa, that the passive microwave based flood extent corresponds well with observed flood 70 hydrographs in monitoring stations where the river overflows the bank. The signal to noise ratio 71 is highly affected by variable local conditions on the ground (De Groeve, 2010), such as the river 72 bank geometry and the extent of flood inundation. For example, in cases of confined flows, the 73 river stays in the banks and hence the change in river discharge mainly results in water level 74 variation without producing much difference in river width. 75 Upper-catchment satellite based flow monitoring may provide major improvements to flood 76 forecast accuracy downstream, primarily in the developing nations where there is a limited 77 availability of ground based river discharge measurements. Bangladesh is one such case where 78 river flooding has historically been a very significant problem. Major flooding occurs in 79 Bangladesh with a return period of 4-5 years (Hopson and Webster, 2010) caused by the Ganges 80 and Brahmaputra Rivers, which enter into the country from India, and join in the Bangladeshi 81 low lands. Because of limited river discharge data sharing between the two countries, the only 82 reliable river streamflow data for Bangladesh flood prediction is from sites within the national 83 borders, and this has traditionally limited forecast lead-times to 2 to 3 days in the interior of the 84 country. 85 Several water elevation and discharge estimation attempts have been made based on satellite 86 altimetry for the Ganges and Brahmaputra rivers. Jung et al., 2010 used satellite altimetry from 87 Shuttle Radar Topography Mission digital elevation model (SRTM DEM) to estimate water 88 elevation and slope for Brahmaputra River. The same study also applied Manning’s equation to 89 estimate discharge from the water surface slope and Woldemichael et al., (2011) later improved 4 90 the discharge estimation error through better selection of hydraulic parameters and Manning’s 91 roughness coefficient. Siddique-E-Akbor et al., (2011) compared the water elevation derived 92 from Envisat satellite altimetry with simulated water levels by HEC-RAS model for three rivers 93 in Bangladesh, in which they reported the average (over 2 years) root mean square difference of 94 2.0 m between the simulated and the satellite based water level estimates. 95 Papa et al. (2010) produce monthly discharges for the rivers from satellite altimetry 96 information. Such monthly and seasonal discharge estimates are important for weather and 97 climate applications, but shorter time scale information is also needed, such as daily or hourly, 98 for operational short term flood forecasting. Biancamaria et al., (2011) used Topex/Poseidon 99 satellite altimetry measurements of water level at upstream locations in India to forecast water 100 levels for Ganges and Brahmaputra rivers after they cross the India-Bangladesh border. The 101 same paper also suggests that “… the forecast might even be improved using ancillary satellite 102 data, such as precipitation or river width estimates” (Biancamara et al., 2011, p.5). The current 103 study uses multiple upstream estimates of the river width along the main river channels to 104 forecast discharge at downstream locations. Specifically, we examine the utility of using passive 105 microwave derived river width estimates for near-real time river flow estimation and forecasting 106 for the Ganges and Brahmaputra rivers after they cross India/Bangladesh Border. One of the 107 advantages of using passive microwave signal is that the sensors do not suffer very much from 108 cloud interference; another is that they are very much more frequent than any available altimetric 109 (river stage) information. 110 The following has two parts. First, we investigate directly the use of satellite-derived flow 111 signal (SDF) data produced by the Global Flood Detection System of the GDACS (Global 112 Disaster and Alert Coordination System, Joint Research Center-Ispra, European Commission) for 5 113 tracking flood wave propagation along the Ganges and Brahmaputra. These data are available to 114 the public at: http://old.gdacs.org/flooddetection/; see also Kugler and De Groeve, 2007 pdf file 115 enclosed, from http://floodobservatory.colorado.edu/GlobalFloodDetectionSystem.pdf. SDF 116 information is, as noted, the ratio of the brightness temperature of nearby land pixels, unaffected 117 by the river, to the brightness temperature of the measurement pixel (centered at the river). The 118 second part of the study uses the SDF information for river flow simulation and forecasting in 119 Bangladesh. The simulations and forecasts are compared against ground based discharge 120 measurements. The details of data used are described in section 2. Section 3 presents the results 121 of the flow signal analysis, the variable selection method is described in section 4, and then the 122 results of discharge nowcasting and forecasting in section 5. Section 6 summarizes all results. 123 2. Study region and data sets 124 2.1 Study region 125 The study areas are the Ganges and Brahmaputra river basins in south Asia (see Fig. 1). 126 These are transboundary Rivers which join in lowland Bangladesh after crossing the India- 127 Bangladesh border. There is substantial need for accurate and timely river flow forecast in 128 Bangladesh. For example, according to estimates (CEGIS, 2006; Hopson and Webster, 2010), an 129 accurate 7 day forecast has the potential of reducing post-flood costs by as much as 20% over a 130 cost reduction of 3% achieved with just a two-day forecast. Beginning in 2003, Hopson and 131 Webster (2010) developed and successfully implemented a real-time probabilistic forecast 132 system for severe flooding for both the Ganges and Brahmaputra in Bangladesh. This system 133 triggered early evacuation of people and livestock during the 2007 severe flooding along the 134 Brahmaputra. Although the forecast system shows useful skill out to 10-day lead-times by 6 135 utilizing satellite-derived TRMM (Huffman et al., 2005, 2007) and CMORPH (Joyce et al., 136 2004) precipitation estimates and ensemble weather forecasts from the European Center for 137 Medium Weather Forecasts (ECMWF), Hopson and Webster (2010) also indicate that the 138 accuracy of the forecasts could be significantly improved if flow measurements higher upstream 139 in the catchments were available. The limited in-situ data sharing between Bangladesh and the 140 upstream countries makes the remotely sensed water data the most useful. 141 2.2. Data sets 142 The Joint Research Center (JRC-Ispra, http://www.gdacs.org/floodmerge/), in collaboration 143 with the Dartmouth Flood Observatory (DFO) (http://www.dartmouth.edu/~floods/) produces 144 daily near real-time flood signals, along with flood maps and animations, at more than 10,000 145 monitoring locations for major rivers globally (GDACS, 2011). For details of the methodology 146 used to extract the daily signals from the passive microwave remote sensing (the American and 147 Japanese AMSR-E and TRMM sensors), the reader is referred to De Groeve (2010) and 148 Brakenridge et al. (2007). In this study, we use the daily SDF signals along the Ganges and 149 Brahmaputra river cannels provided by the JRC. The flood signals are available starting from 150 December 8, 1997. A total of 22 data sets from locations ranging between an upstream distances, 151 from the outlet, of 63-1828 km were analyzed for the Ganges, and 23 data sets with a range of 152 53-2443 km are used for the Brahmaputra. The data include site ID, latitude and longitude of the 153 sites, and the flow path length and are presented in Table 1. We also use daily rating curve- 154 derived gauged discharge from December 8, 1997 to December 31, 2010 for the Ganges River at 155 Hardinge Bridge and the Brahmaputra River at Bahadurabad (fig. 1) for model training and 156 validation purposes. The river stage observations were obtained from the Flood Forecasting and 157 Warning Center (FFWC) of the Bangladesh government. 7 158 159 3. Satellite-derived flow signals 160 3.1. Correlation with gauge observations 161 Figure 2a and 2b show correlations between three SDF estimates and gauge discharge 162 observations at Hardinge Bridge (Ganges) and Bahadurabad (Brahmaputra) versus lag time, 163 respectively, and with the correlation maxima shown by solid circles on the figures. The in- 164 channel distances between the locations where the upstream SDF were measured and the outlet 165 of the watershed have also been indicated in the figures. The variation of correlations with lag 166 time has different characteristics depending on the flow path length (FPL, the hydrologic 167 distance between the SDF detection site and the outlet). Specifically, for shorter FPL the 168 correlation decreases monotonically with increasing lag time; however, for longer FPL the 169 correlation initially increases, reaches a maximum value, and then decreases with increasing lag 170 time. This change of correlation pattern (in this case, shifting of the maximum with FPL), is an 171 indicator of the utility of the SDF for capturing the flood wave propagation in the river channel 172 (see next section for detail). 173 3.2. Variation of flow time with flow path length 174 We estimate the travel time from the correlation pattern of the SDFs by assuming that the lag 175 time at which the maximum correlation occurred is a proxy measure of the flood wave 176 propagation time. The estimated flow time (flood wave celerity) for each SDF is shown on Fig. 177 3a and 3b. for the Ganges and Brahmaputra rivers respectively. In these figures, the flow time 178 estimated from the flood signals was plotted against its flow path length, where the flow path 179 length is the hydrologic distance between the flood signal detection sites to the outlet of the 8 180 watershed. We estimated the flow path length from digital elevation map (DEM) of about 90 181 meters resolution obtained from the HydroSHEDS (Hydrological data and maps based on 182 SHuttle Elevation Derivatives at multiple Scales). 183 If the flood wave propagation speed is assumed constant, then the elapsed flow time should 184 increase with flow path length, but this is not strictly the case for both rivers in this study (see 185 Fig’s 3a and 3b.). Instead, an inconsistent increase of flow time with distance applies. The flow 186 time is less than or equal to 1 day for flow distances shorter than 750 km and 1000 km for the 187 Ganges and Brahmaputra respectively. The flow time increases to more than 10 days for the 188 Ganges at FPLs of 750 km and 7 days for the Brahmaputra at FPLs of 100 km. One of the factors 189 contributing to the inconsistent increase of the flow time with flow length could be the noise 190 introduced by the local ground conditions, such as local river geometry and inflows, at locations 191 where satellite observations were made, and also the flows generated between the satellite and 192 ground based observations. In fact the Brahmaputra is braided river with many river channels 193 covering wider land area compared to Ganges which is confined in one channel. Another factor 194 may be intrinsic changes in the celerity of different flood waves, and also the propagation of 195 discharge variation during times of lower flow: which are also included in our analysis of the 196 available daily time series. 197 There was a considerable difference found when the ratios of the flow path to flow time 198 (calculated from the time of maximum correlation) across the Ganges and Brahmaputra rivers 199 were compared for longer flow distances (see Fig’s 3a.and 3b.). For example, it takes 11 days for 200 flood waves to travel 1828 km distance (the furthest upstream point, 11691) along the Ganges, 201 whereas, for the Brahmaputra, only 2 days are required for a comparable path length of 1907 km 202 (site 11687). 9 203 We fit a linear equation (as shown in the figures) by weighting the residuals according to 204 their respective correlations, and also constraining the equation in such a way that it includes the 205 origin (zero distance and zero flow time). In this case, the celerity estimated from the slopes of 206 the fitted line for the Brahmaputra (9.85 ± 2.91 m/s) is three times that of the Ganges (2.85 ± 207 0.74 m/s). This difference could be due to many factors, including the topography, spatial and 208 temporal scale of precipitation, among others. The Ganges river basin exhibits relatively flat 209 topography compared to the Brahmaputra, which could contribute to a higher residence time for 210 water before it reaches the outlet. 211 For consistency, we would like to derive independent estimates for the wave propagation 212 times estimated in Fig 3. Noting that because both the discretization time of the satellite 213 estimates is one day, and that also both channels’ flow slowly varies in time, we expect that most 214 of the channel depth variations we have detected are approximated by kinematic wave theory. To 215 estimate a range of possible wave propagation speeds, we use derived rating curves for the 216 downstream gauging locations, estimates for the range of channel widths, and the Kleitz-Seddon 217 Law (Beven, 1979) for kinematic wave celerity c, 218 c 1 dQ W dy (1) 219 where W is the channel top-width, Q the discharge, and y the river stage. For the Brahmaputra at 220 Bahadurabad we estimate 4m/s < c < 8m/s; for the Ganges at Hardinge Bridge we estimate 2m/s 221 < c < 6m/s. As with the satellite-derived signals, these estimates also show the wave propagation 222 speeds of the Brahmaputra being greater than those of the Ganges, with its flatter channel slope. 223 It should also be noted that the celerity estimated from the satellite-derived flow signals 224 represents a total reach-length (i.e. FPL) average, while these kinematic wave speeds strictly 225 apply only over the neighboring region of the gauging locations. 10 226 To investigate the influence, if any, of the location and spatial scale of precipitation on the 227 flow time, we conducted a simple synthetic experiment where both the distribution and spatial 228 size of rainfall over a hypothetical watershed is varied and then the excess rainfall is routed to 229 the outlet using a linear reservoir unit hydrograph (Chow, et al., 1998). In the synthetic 230 experiment (not here illustrated), we were surprised to find that the spatial scale of precipitation 231 does indeed affect the time at which maximum correlation occurred. To systematically describe 232 the influence of the precipitation scale on flood wave propagation time, a separate and a more 233 realistic experiment with observed precipitation data over the river basin would be necessary. 234 4. Selection of satellite flow signals for discharge estimation 235 As presented in the previous sections, the microwave based flow signals are well correlated 236 to the ground discharge measurement and they also capture the propagation of flood waves going 237 downstream for the Ganges and Brahmaputra rivers. We used the microwave flow signals 238 available upstream of the Hardinge Bridge (Ganges) and Bahadurabad (Brahmaputra) to produce 239 daily discharge nowcast and forecasts for 1-15 day lead times at the gauging stations. 240 To accomplish this, a cross-validation regression model is applied, in which the SDF signals 241 are used as a regression variable and the ground discharge observation at the outlet is used for 242 training and validation purposes. The nowcasting/forecasting steps for each lead time increment 243 are as follows: 244 i. Calculate the correlation map. The correlation map is helpful for understanding the 245 linear relationship between the SDF signals and the ground discharge observation. 246 The variability of the correlation with lag time (as described in section 3) can also be 247 used to trace the flood wave propagation. Another useful aspect of the correlation 248 map is that it can be used as an indicator of the most relevant variables to be used in 11 249 the discharge estimation model. The correlation map for normalized data 250 (transformed to standard normal by subtracting the mean and then dividing by 251 standard deviation) is shown in Fig 4a and 4b for the Ganges and Brahmaputra rivers, 252 respectively. All data sets have different correlations depending on the location, flow 253 path length and lag time, indicating that the local ground condition, besides the place 254 and time of observation, should be taken in to consideration before using the SDF for 255 any application. All data sets do not have strong linear relationship with the ground 256 observation and hence this step is useful for identifying the variables more related to 257 the river flow measurement for the discharge estimation model to be used in the next 258 steps. 259 ii. Sort the correlation in decreasing order. Variables which are more correlated with 260 ground discharge measurements will be used in the forecast model, thus to simplify 261 the selection process, we sorted the correlations calculated (see fig 4) in step i before 262 performing the selection task. 263 iii. Pick the variables to be used in the discharge estimation model and generate the river 264 discharge. We use a cross-validation approach to select variables, among the SDF 265 signals at multiple sites, to be used in the model. Identifying the most relevant 266 regression variables is required in order to prevent over fitting and thus to reduce the 267 error in the estimated discharge. We select the best correlated flood signals to the 268 ground discharge observation as “the most relevant variables” to be used in the 269 model. To determine the optimal number, we applied a ten-percent leave-out cross- 270 validation model, where 10% of the data is left out (to be used for validation) at a 271 time and a linear regression is fit to the remaining 90%. This is done repeatedly until 12 272 each data point is left out, but no data point is used more than once for the validation 273 purpose. This is followed by calculating the root mean square error (RMSE) of the 274 validation sets. Finally, the number of variables that produced the smallest RMSE 275 calculated over the whole out-of-sample data sets is considered as the optimal number 276 to be used in the regression model. The minimum RMSE criterion is simple to 277 implement but it should be noted that this criteria might suffer from isolated extreme 278 events (see Gupta et al., 2009). 279 iv. Repeat the steps ii-iii for all lead times. We generated the river discharge nowcast and 280 forecast for each lead time (1 to 15 days) by repeating the regression variable 281 identification and discharge generation steps. 282 283 5. Results of discharge nowcast and forecast 284 5.1. Discharge nowcast 285 We use the cross-validation approach presented above to generate discharge nowcast (lead 286 time of 0 days) from the SDF signals detected at multiple points (see Table 1) upstream of the 287 Hardinge Bridge (Ganges) and Bahadurabad (Brahmaputra). The rating curve-derived gauge 288 discharge observations at the outlets were used for model training purpose. The time period of 289 the data sets is December 8, 1997 to December 31, 2010. Figure 5a. shows the time series plots 290 of the discharge simulation overlaid on the gauge observations for Ganges River at the Hardinge 291 Bridge during the monsoon flood of 2003. The discharge estimated from SDF correctly captured 292 the peak flow of September 20, 2003, and also matched (with little fluctuations) the falling limb 293 of the discharge for the summer period. However, it underestimated the flow during the early 13 294 stage of the summer. The Nash-Sutcliffe (NS) efficiency coefficient (see eq. 2) for the time 295 series (December 8, 1997 to December 31, 2010) is 0.80. N 296 NS 1 (Q i 1 N oi (Q i 1 Qmi ) 2 oi Qo ) (2) 2 297 where Qoi is observed discharge at time i; Qmi is modeled discharge at time i and Q o is mean. 298 The 2007 Brahmaputra flooding (see Fig. 5b.) is a different case: the discharge estimated from 299 the SDF signal did not fully capture the peak flows of the 2007 flood, although it agreed with the 300 observations on the falling limb. The overall NS efficiency coefficient for the whole time (from 301 December 8, 1997 to December 31, 2010) series is 0.78. 302 5.2. Discharge forecast with satellite flood signal only 303 We applied, again, the cross-validation approach described in section 4 to forecast the 304 discharge at lead times from 1 to 15 days using the upstream satellite flood signal in the 305 regression model. Figure 6a. shows time series of 1, 5 and 15 day forecasts overlaid the 306 observation for Ganges monsoon flood of 2003 at Hardinge Bridge. Past and current satellite 307 flood signals upstream of the forecast point at distances ranging from 63 to 1828 KM were used 308 as input to the forecasting model, whereas the discharge observation at the outlet was used for 309 the model training purposes. The 1 and 5 day lead forecast captured the peak flood of the 310 September 20, 2003 correctly and they are not considerably far from the observational data 311 during the entire monsoon season. The 15 day lead forecast, however, missed the peak flood of 312 the September, 20, 2003 by almost 50%. Similar to the nowcast, the peak floods of the 313 Brahmaputra 2007 monsoon season (specifically July, 7 and September, 13), as shown in Fig. 14 314 6b., were not captured by all forecasts especially the rising limbs, but the falling limbs of the 315 hydrographs were captured very well. 316 We examine now the forecast of the entire time series instead of just one year. Figure 7 317 presents the NS efficiency coefficient versus lead time calculated for whole time period ranging 318 from December 8, 1997 to December 31, 2010. The NS efficiency score of the 1 day lead time 319 discharge forecast was 0.80 and declined to 0.52 for 15 day forecast in the case of the Ganges; 320 similarly for Brahmaputra it decreased from 0.80 for 1 day forecast to 0.56 for the 15 day 321 forecast. To account for seasonal variability of the river flow, we performed the cross-validation 322 based regression separately for the dry (November-May) and wet (June-October) seasons, but no 323 better forecast skill due to seasonal classification was achieved. Overall, the results clearly 324 indicate that the remotely sensed flow signals provide useful information regarding surface water 325 and could well be used in these large rivers for flood forecasting with good skill, if not perfect. 326 327 5.3. Discharge forecast with combined SDF signal and persistence Now, in addition to the SDF signals, we incorporate the ground-based discharge data at the 328 forecast initialization time observed at the downstream forecast point into the cross-validation 329 forecast model: to examine how much the SDF improves forecast skill with respect to 330 persistence. This method relies on the availability of current discharge observation at the forecast 331 point, but if such discharge is available, then the combined use of the observed discharge with 332 the satellite flood signals is expected to improve the forecast skill. 333 Such testing indicates that the NS efficiency coefficient improves by 25%, 34% and 43% for 334 1, 5 and 15 day lead time respectively when persistence and satellite flood signals are merged as 335 opposed to using SDF only. The contribution of the SDF signal in the improvement of the 336 forecast skill can be shown by comparing against the persistence. Fig. 8 shows the RMSE skill 15 337 score of the 1 to 15 day lead forecast with reference to persistence for both Ganges and 338 Brahmaputra rivers. The microwave derived flood signals improved the forecast RMSE skill 339 score from 10% to 20% across the 15 day lead time. 340 6. Conclusion 341 This study shows that flow information derived from passive microwave remote sensing is 342 very useful for near-real time river discharge forecasting for the Ganges and Brahmaputra Rivers 343 in Bangladesh. It presents an alternative to the satellite altimetry based water level forecast 344 performed by Biancamaria et al., (2011). The current method uses multiple (more than 20 for 345 each river) upstream river width estimates from selected frequency band of passive microwave 346 signal such noise introduced by cloud cover is minimal. The remote sensing observational data 347 (SDFs) are well correlated, albeit with different patterns between the two basins, to the ground 348 flow measurements and are capable of tracking flood wave propagation downstream along the 349 rivers. The correlation pattern depends on the location, flow path length and lead time indicating 350 that the local ground conditions such as river geometry, topography, precipitation spatial scale, 351 and hydrologic response of the watershed should be taken in to consideration before using the 352 satellite signal for river flow application. The relative importance and influence of each of these 353 factors needs further exploration. 354 The SDF signals are used in this paper in cross-validation regression models for river flow 355 nowcasting and forecasting at 1-15 day lead times. The skill of the forecasts improves at all lead 356 times compared to the persistence for both Ganges and Brahmaputra Rivers. This makes a 357 substantial proof of utility of passive microwave remote sensing for hydrologic forecast 358 applications in data-scarce regions. However we should point out that one needs to identify the 359 appropriate locations where the river width estimates are correlated with the gauge 16 360 measurements before using them for such applications. When the river flow is confined and the 361 discharge variations mainly results in water lever change, the information obtained from river 362 width estimates may not be useful to detect the magnitude of flood, in which case water level 363 data is the better option. In addition, careful selection of the frequency band minimizes cloud 364 cover effects. However, it is clear that passive microwave remote sensing of river discharge can 365 play a significant role in measurements of upstream flow variation, and can be usefully coupled 366 with hydrologic models in a data assimilation and model calibration framework for flood 367 forecasting purposes. 368 7. References 369 Alsdorf, D. E., J. M. Melack, T. Dunne, L. Mertes, L. Hess, and L. C. 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Acknowledgements 446 The first author is grateful to the Center for Environmental Sciences and Engineering (CESE) 447 of the University of Connecticut for the partial financial support for this research thorough 448 ‘CESE 2010-11 Graduate Student Research Assistantships’ and ‘Multidisciplinary 20 449 Environmental Research Award, 2010-2011’. We also gratefully acknowledge the National 450 Science Foundation’s support of the National Center for Atmospheric Research. 451 452 453 454 455 Table 1. Details of the satellite-derived flow signals (“MagnitudeAvg” in the GDACS database) used for the study. The site ID, latitude, longitude and flow path length (FPL) are provided. The period of record for all the data, including the satellite flood signals and the gauge discharge observations at Hardinge Bridge and Bahadurabad is December 8, 1997 to December 31, 2010. 456 Ganges Brahmaputra Gauging location at Hardinge Bridge: 24.07N, 89.03E GFDS Latitude Longitude FPL Site ID (N) (E) (KM) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11478 11488 11518 11522 11523 11524 11536 11537 11532 11528 11527 11539 11548 11559 11575 11588 11595 11606 11616 11623 11651 11691 24.209 24.469 25.341 25.402 25.415 25.409 25.660 25.722 25.672 25.585 25.513 25.620 25.938 26.149 26.423 26.852 27.179 27.494 27.738 28.003 28.812 29.259 88.699 88.290 87.030 86.670 86.379 85.950 85.069 84.587 84.150 83.700 83.430 81.519 81.207 80.815 80.439 80.123 79.786 79.470 79.110 78.674 78.131 78.035 63 121 340 370 420 550 650 676 690 725 800 1180 1220 1300 1320 1381 1431 1520 1590 1640 1761 1828 457 21 Gauging location at Bahadurabad: 25.09N, 89.67E GFDS Latitude Longitude FPL Site ID (N) (E) (KM) 11533 11545 11558 11555 11554 11560 11570 11576 11579 11580 11583 11593 11603 11610 11619 11677 11681 11687 11685 11684 11675 11678 11679 25.451 25.875 26.014 26.221 26.148 26.205 26.383 26.574 26.671 26.776 26.853 27.089 27.394 27.603 27.836 29.296 29.300 29.369 29.295 29.334 29.303 29.232 29.267 89.707 89.910 90.282 90.738 91.214 91.683 92.119 92.586 93.074 93.555 94.062 94.456 94.748 95.040 95.293 91.305 90.854 89.441 88.966 88.443 88.049 85.230 84.709 53 117 145 204 285 330 385 475 496 590 630 660 712 750 837 1698 1737 1907 1929 1996 2045 2380 2443 458 459 460 461 462 463 464 465 Fig. 1. The Brahmaputra and Ganges river study region in South Asia. The satellite flood signal observations are located on the main streams of the Brahmaputra (top right) and the Ganges (bottom left) rivers. The observation sites are shown in small dark triangles and they are labeled by the GFDS site ID (see Table 1). 466 467 468 469 470 471 472 Fig 2a. Correlation versus lag time between daily in-situ streamflow and upstream satellite flood signals, SDFs (only 3 shown here) and gauge discharge at Hardinge Bridge along the Ganges River in Bangladesh. As expected, the lag time at which peak correlation occurs (shown as a dark dot) is greater for longer flow path lengths from the gauge at Hardinge. 22 473 474 Fig 2b. Same as Fig. 2a, but for Brahmaputra River 475 476 477 478 479 480 481 482 Fig 3a. Plot of flow time (as estimated from the satellite flood signal data) versus distance from the satellite flow detection point to the outlet (Hardinge bridge station) of the Ganges River. The flow time is the lag time at which the peak correlation occurred, as shown in Fig.2a. The flow speed estimated from the slope of the fitted line is 2.85 ± 0.74 m/s. 23 483 484 485 Fig 3b. Same as Fig. 3a., but for Brahmaputra river. The flow speed estimated from the slope of the fitted line is 9.85 ± 2.91m/s. 24 486 487 488 489 490 491 492 493 Fig 4a. Lagged correlation map of daily satellite-derived flow signals calculated against the discharge observation at Hardinge Bridge for Ganges River. The horizontal axis shows the satellite flood signal sites (see Fig. 1) arranged in the order of increasing flow path length and the vertical axis shows lag time (days). 494 495 496 25 497 498 499 Fig 4b. Same as Fig. 4a, but for Brahmaputra. 500 501 502 503 504 505 506 507 Fig 5a. Daily time series of observed river discharge (solid) and nowcast (dash) based on the river flow signal observed from satellite for Ganges River at Hardinge bridge station in Bangladesh. Satellite-derived flow signals, at different locations with distance ranging from 63 26 508 509 km to 1828 km upstream the Hardinge bridge station as shown in Table 1, have been used for the discharge estimation. 510 511 512 513 Fig. 5b. Same as Fig. 5a, but for Brahmaputra River. The upstream distance varies from from 63 km to 1828 km from the Bahadurabad. 514 515 516 517 518 519 520 521 522 523 Fig. 6a. Daily time series of satellite-based river discharge forecast at different lead times shown against observation during the 2003 flooding of Ganges River at Hardinge bridge station in Bangladesh. Satellite-derived flow signals, at different locations with distance ranging from 63 27 524 525 KM to 1828 KM upstream the Hardinge bridge station as shown in Table 1, have been used for the forecasting. 526 527 528 529 530 531 532 533 534 535 Fig. 6b. Same as Fig. 6a, but for Brahmaputra river. 536 537 538 539 28 540 541 542 543 544 545 546 547 548 549 Fig. 7. The Nash-Sutcliffe coefficient versus forecast lead time for Ganges and Brahmaputra Rivers. Only satellite-derived flow signals were used for the forecast. The Nash-Sutcliffe coefficients were calculated for the whole time period of record (December 8, 1997 to December 31, 2010). 29 550 551 552 553 554 555 Fig. 8. The root mean square error (RMSE) skill score versus forecast lead time for Ganges and Brahmaputra Rivers. The current discharge observation (persistence) at the outlet point, along with the upstream satellite flood signals, have been used for the forecasting, and therefore the skill of the forecast has been estimated with respect to the RMSE of persistence. The skill scores were calculated for the whole time period of record (December 8, 1997 to December 31, 2010). 30