How well can we estimate error variance of satellite precipitation data around the world

Abstract Providing error information associated with existing satellite precipitation estimates is crucial to advancing applications in hydrologic modeling. In this study, we present a method of estimating the square difference prediction of satellite precipitation (hereafter used synonymously with “error variance”) using regression model for three satellite precipitation products (3B42RT, CMORPH, and PERSIANN-CCS) using easily available geophysical features and satellite precipitation rate. Building on a suite of recent studies that have developed the error variance models, the goal of this work is to explore how well the method works around the world in diverse geophysical settings. Topography, climate, and seasons are considered as the governing factors to segregate the satellite precipitation uncertainty and fit a nonlinear regression equation as a function of satellite precipitation rate. The error variance models were tested on USA, Asia, Middle East, and Mediterranean region. Rain-gauge based precipitation product was used to validate the error variance of satellite precipitation products. The regression approach yielded good performance skill with high correlation between simulated and observed error variances. The correlation ranged from 0.46 to 0.98 during the independent validation period. In most cases (~ 85% of the scenarios), the correlation was higher than 0.72. The error variance models also captured the spatial distribution of observed error variance adequately for all study regions while producing unbiased residual error. The approach is promising for regions where missed precipitation is not a common occurrence in satellite precipitation estimation. Our study attests that transferability of model estimators (which help to estimate the error variance) from one region to another is practically possible by leveraging the similarity in geophysical features. Therefore, the quantitative picture of satellite precipitation error over ungauged regions can be discerned even in the absence of ground truth data.

[1]  C. Willmott ON THE VALIDATION OF MODELS , 1981 .

[2]  P. A. Arkin,et al.  A combined microwave/infrared rain rate algorithm , 2001 .

[3]  M. Gebremichael,et al.  Nonparametric error model for a high resolution satellite rainfall product , 2011 .

[4]  Eric F. Wood,et al.  Assessing the skill of satellite‐based precipitation estimates in hydrologic applications , 2010 .

[5]  Yudong Tian,et al.  An Error Model for Uncertainty Quantification in High-Time-Resolution Precipitation Products , 2014 .

[6]  D. Lettenmaier,et al.  A Long-Term Hydrologically Based Dataset of Land Surface Fluxes and States for the Conterminous United States* , 2002 .

[7]  Yang Hong,et al.  Evaluation of TRMM Multisatellite Precipitation Analysis (TMPA) and Its Utility in Hydrologic Prediction in the La Plata Basin , 2008 .

[8]  Dennis P. Lettenmaier,et al.  Potential Utility of the Real-Time TMPA-RT Precipitation Estimates in Streamflow Prediction , 2011 .

[9]  Y. Hong,et al.  The TRMM Multisatellite Precipitation Analysis (TMPA): Quasi-Global, Multiyear, Combined-Sensor Precipitation Estimates at Fine Scales , 2007 .

[10]  Emmanouil N. Anagnostou,et al.  Using NWP Simulations in Satellite Rainfall Estimation of Heavy Precipitation Events over Mountainous Areas , 2013 .

[11]  J. Nash,et al.  River flow forecasting through conceptual models part I — A discussion of principles☆ , 1970 .

[12]  Kenneth P. Bowman,et al.  Comparison of TRMM Precipitation Retrievals with Rain Gauge Data from Ocean Buoys , 2005 .

[13]  K. Okamoto,et al.  Rain profiling algorithm for the TRMM precipitation radar , 1997, IGARSS'97. 1997 IEEE International Geoscience and Remote Sensing Symposium Proceedings. Remote Sensing - A Scientific Vision for Sustainable Development.

[14]  George J. Huffman,et al.  Estimates of Root-Mean-Square Random Error for Finite Samples of Estimated Precipitation , 1997 .

[15]  Faisal Hossain,et al.  Understanding the Dependence of Satellite Rainfall Uncertainty on Topography and Climate for Hydrologic Model Simulation , 2013, IEEE Transactions on Geoscience and Remote Sensing.

[16]  Yudong Tian,et al.  A global map of uncertainties in satellite‐based precipitation measurements , 2010 .

[17]  Y. Hong,et al.  Precipitation Estimation from Remotely Sensed Imagery Using an Artificial Neural Network Cloud Classification System , 2004 .

[18]  J. Janowiak,et al.  CMORPH: A Method that Produces Global Precipitation Estimates from Passive Microwave and Infrared Data at High Spatial and Temporal Resolution , 2004 .

[19]  P. Jones,et al.  A European daily high-resolution gridded data set of surface temperature and precipitation for 1950-2006 , 2008 .

[20]  Chris Kidd,et al.  Satellite Rainfall Estimation Using a Combined Pasive Microwave and Infrared Algorithm. , 2003 .

[21]  Faisal Hossain,et al.  Estimation of Satellite Rainfall Error Variance Using Readily Available Geophysical Features , 2014, IEEE Transactions on Geoscience and Remote Sensing.

[22]  Y. Hong,et al.  Evaluation of Global Flood Detection Using Satellite-Based Rainfall and a Hydrologic Model , 2012 .

[23]  V. Kousky,et al.  Assessing objective techniques for gauge‐based analyses of global daily precipitation , 2008 .

[24]  Faisal Hossain,et al.  Tracing hydrologic model simulation error as a function of satellite rainfall estimation bias components and land use and land cover conditions , 2012 .

[25]  Kuolin Hsu,et al.  Rainfall Estimation Using a Cloud Patch Classification Map , 2007 .

[26]  A. Kitoh,et al.  APHRODITE: Constructing a Long-Term Daily Gridded Precipitation Dataset for Asia Based on a Dense Network of Rain Gauges , 2012 .

[27]  Bart Nijssen,et al.  Effect of precipitation sampling error on simulated hydrological fluxes and states: Anticipating the Global Precipitation Measurement satellites , 2004 .

[28]  Dong-Jun Seo,et al.  The WSR-88D rainfall algorithm , 1998 .

[29]  J. Susskind,et al.  Global Precipitation at One-Degree Daily Resolution from Multisatellite Observations , 2001 .

[30]  P. Xie,et al.  A Gauge-Based Analysis of Daily Precipitation over East Asia , 2007 .

[31]  Ji-zhong Sun,et al.  Probabilistic and Ensemble Representations of the Uncertainty in an IR/Microwave Satellite Precipitation Product , 2005 .

[32]  Witold F. Krajewski,et al.  Radar–Rain Gauge Comparisons under Observational Uncertainties , 1999 .

[33]  Mandira Singh Shrestha,et al.  Using satellite-based rainfall estimates for streamflow modelling: Bagmati Basin , 2008 .

[34]  G. North,et al.  Sampling Errors in Rainfall Estimates by Multiple Satellites , 1993 .

[35]  F. Turk,et al.  Component analysis of errors in satellite-based precipitation estimates , 2009 .

[36]  Charles J Vörösmarty,et al.  Widespread decline in hydrological monitoring threatens Pan-Arctic Research , 2002 .

[37]  Soltane Ameur,et al.  Convective rainfall estimation from MSG/SEVIRI data based on different development phase duration of convective systems (growth phase and decay phase) , 2014 .

[38]  Witold F. Krajewski,et al.  Error Uncertainty Analysis of GPCP Monthly Rainfall Products: A Data-Based Simulation Study , 2003 .

[39]  Faisal Hossain,et al.  Crossing the “Valley of Death”: Lessons Learned from Implementing an Operational Satellite-Based Flood Forecasting System , 2014 .

[40]  D. Legates,et al.  Evaluating the use of “goodness‐of‐fit” Measures in hydrologic and hydroclimatic model validation , 1999 .

[41]  Jian Zhang,et al.  Weather Radar Coverage over the Contiguous United States , 2002 .

[42]  G. Huffman,et al.  The TRMM Multi-Satellite Precipitation Analysis (TMPA) , 2010 .

[43]  Y. Hong,et al.  Uncertainty quantification of satellite precipitation estimation and Monte Carlo assessment of the error propagation into hydrologic response , 2004 .

[44]  Robert J. Kuligowski,et al.  A Self-Calibrating Real-Time GOES Rainfall Algorithm for Short-Term Rainfall Estimates , 2002 .

[45]  Mekonnen Gebremichael,et al.  Evaluation of satellite rainfall estimates over Ethiopian river basins , 2010 .

[46]  M. Gebremichael,et al.  Estimating actual rainfall from satellite rainfall products , 2009 .

[47]  Jan M. H. Hendrickx,et al.  Advanced Concepts on Remote Sensing of Precipitation at Multiple Scales , 2011 .

[48]  Erik Stokstad,et al.  Scarcity of Rain, Stream Gages Threatens Forecasts , 1999, Science.

[49]  Zhenchun Hao,et al.  Tibetan Plateau precipitation as depicted by gauge observations, reanalyses and satellite retrievals , 2014 .

[50]  S. Sorooshian,et al.  Evaluation of PERSIANN system satellite-based estimates of tropical rainfall , 2000 .

[51]  James P. Verdin,et al.  Adequacy of satellite derived rainfall data for stream flow modeling , 2007 .

[52]  Phillip A. Arkin,et al.  An Intercomparison and Validation of High-Resolution Satellite Precipitation Estimates with 3-Hourly Gauge Data , 2009 .

[53]  M. Katz Validation of models , 2006 .

[54]  W. Briggs Statistical Methods in the Atmospheric Sciences , 2007 .

[55]  Faisal Hossain,et al.  Assessment of current passive-microwave- and infrared-based satellite rainfall remote sensing for flood prediction , 2004 .

[56]  J. Janowiak,et al.  The Version 2 Global Precipitation Climatology Project (GPCP) Monthly Precipitation Analysis (1979-Present) , 2003 .