Bias correction of global daily rain gauge measurements

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Bias correction of global daily rain gauge measurements M. Ungersböck 1,F.Rubel 1,T.Fuchs 2,andB.Rudolf 2 1 Working Group Biometeorology, University of Veterinary Medicine Vienna 2 Global Precipitation Climatology Centre, DWD, Offenbach, Germany Camera-ready Copy for Physics and Chemistry of the Earth, 26, 411-414 Offset requests to: F. Rubel WG Biometeorology, Institute of Medical Physics and Biostatistics University of Veterinary Medicine Vienna Veterinärplatz 1, A-121 Wien, Austria

First author: M. Ungersböck 1 Bias correction of global daily rain gauge measurements M. Ungersböck 1,F.Rubel 1,T.Fuchs 2,andB.Rudolf 2 1 Working Group Biometeorology, University of Veterinary Medicine Vienna 2 Global Precipitation Climatology Centre, DWD, Offenbach, Germany Manuscript version from 4 January, 21 Abstract. Up to the present global precipitation climatologies based on rain gauges have been corrected for systematic measurement errors using monthly correction factors only. We present results from a statistical correction model for daily measurements. It was developed in the framework of and adapted for the Global Precipitation Climatology Centre (GPCC) to correct global daily rain gauge data routinely transmitted via GTS. We focus on regions of the GEWEX continental scale experimets (Europe), (Asia), (South-America) and (North- America). The correction model was applied to 2 years of data (1996, 1997) and compared with the correction factors of the widely used precipitation climatology of Legates (1987). In the region our averaged daily correction factor is about equal to the monthly correction given by Legates during the summer months, while Legates estimated higher corrections for snow (up to %). In the regions of and the corrections given by Legates are also generally higher ( - 1 %) than our corrections. This is opposite to the corrections calculated for rain gauges, which are not significantly different. 1 Introduction Goal of this study is to develop an improved statistical method for the reduction of the systematic measurement errors of rain gauge data. The method must routinely be applicable on global scale and be fitted to available meteorological and instrumental meta data. The correction method currently used by the GPCC is based on long-term mean monthly corrections described by Legates (1987), Legates and Willmott (199) and Reiss et al. (1992). Since the precipitation phase (solid or liquid) is important for the error size, even a rough Correspondence to: F. Rubel zonal means 8 7 6 4 3 2 1 - -1-2 -3-4 - -6-7 -8 1996 2 4 6 8 1 8 7 6 4 3 2 1 - -1-2 -3-4 - -6-7 -8 total number of synoptic stations 1997 2 4 6 8 1 Fig. 1. Zonal distribution of the global synoptic precipitation measurements available for this study. The mean number of daily rain gauge observations increases from 3 7 (1996) to 4 1 (1997). on-event correction using synoptic data would be an improvement of the estimation of daily and monthly precipitation totals. The global precipitation analyses of GPCC calculated from corrected rain gauge observations are the basis for the verification of precipitation forecasts from NWP model runs or for the calibration of global satellite estimates (Rudolf et al., 2). The correction model, based on the results of the WMO Solid Precipitation Measurement Intercomparison (Goodison et al., 1998), was originally developed for (Rubeland Hantel, 1999). The Baltic Sea Experiment (BAL- TEX) is one of continental scale experiments of the Global Energy and Water Cycle Experiment (GEWEX) aproject of the World Climate Research Programme (WCRP). Therefore discussing our global results we focus on the GEWEX regions. These comprise, the GEWEX Continental-Scale International Project (), the GEWEX Asian Monsoon Experiment

First author: M. Ungersböck 2 18ºW 1ºW 12ºW 9ºW 6ºW 3ºW º 3ºE 6ºE 9ºE 12ºE 1ºE 18ºE November 1996 6ºN 6ºN 3ºN 3ºN º º 3ºS " 3ºS 1 2 3 4 6 7 8 9 11112 131411617 181922122 232422627 28293 6ºS " " " 6ºS 1 2 3 4 6 7 8 9 11112 131411617 181922122 232422627 28293 1 2 3 4 6 7 8 9 1111213141161718192212223242262728293 1 2 3 4 6 7 8 9 11112 13141161718192212223242262728293 18ºW 1ºW 12ºW 9ºW 6ºW 3ºW º 3ºE 6ºE 9ºE 12ºE 1ºE 18ºE November 1997 6ºN 6ºN 3ºN 3ºN º º 3ºS 3ºS " 1 2 3 4 6 7 8 9 1111213141161718192212223242262728293 6ºS 6ºS " " " 1 2 3 4 6 7 8 9 1111213141161718192212223242262728293 1 2 3 4 6 7 8 9 1 11 12 13 14 1 16 17 18 19 2 21 22 23 24 2 26 27 28 29 3 1 2 3 4 6 7 8 9 1 111213141161718192212223242262728293 18ºW 1ºW 12ºW 9ºW 6ºW 3ºW º 3ºE 6ºE 9ºE 12ºE 1ºE 18ºE 1 2 3 7 1 2 3 4 7 1 1 Precipitation Correction [%] Fig. 2. Monthly mean corrections of daily rain gauge measurements for November 1996 and 1997. Time series of daily averaged corrections are given for the 4 GEWEX experimental regions,, and. Following Legates (1987) the Canadian rain gauges have not been corrected for solid precipitation and therefore results from the MAGS region are not shown. Units percent.

First author: M. Ungersböck 3 (), the Large-Scale Biosphere-Atmosphere Experiment in Amazonian () and the Mackenzie GEWEX Study (MAGS, not considered here). 2 Data and Method The data used in this study are those of the global synoptic stations available from the GTS network. Fig. 1showsthezonal distribution of the rain gauges with amaximumin the mid-latitudes of the Northern Hemisphere and a minimum in the polar regions of the Southern Hemisphere. The spatial distribution of the synoptic stations (Fig. 2) shows that the density is highest in Europe and South-Eastern Asia, while for large areas of Africa no observations are available. Observations were corrected for systematic measurement errors with a statistical correction model (Rubel and Hantel, 1999; Rubel et al., 2). Its main purpose is to correct for the wind-induced losses, which is the largest error. The correction formulae use observed wind speed and temperature as well as estimated rain intensity. For evaporation and wetting losses, which represent the second largest error of the precipitation measurements, climatological corrections are applied. Further the correction take instrument-specific properties into account; these comprise differentiation between unshielded (e.g. HELLMANN) and shielded (e.g. TRET- JAKOV) gauges. 3 Results Two years (1996, 1997) of about 4 daily rain gauge observations have been corrected for systematic measurement errors (Ungersböck, 2) and are used for case studies over Europe (Fuchs et al., 2). Fig. 2 shows the monthly averaged daily corrections for November 1996 and 1997. The corrections (corrected minus observed precipitation) are given in percent of the observed values. Comparing the time series of the daily corrections, which are given for the different climatic regions of GEWEX (Fig. 2), the dominance of solid over the liquid precipitation phase on the amount of the corrections becomes visible. The high variability of the daily averaged corrections indicate the importance of the on-event correction. Compared to monthly mean corrections the application of a correction model for daily measurements results in a more realistic bias reduction. The corrections for and rain gauges during the winter months are about 2-6 %, while liquid precipitation measurements have been corrected by less than 1 % (Fig. 3). In the tropical regions of ( - 1 %) and (3 - %) the corrections are significantly lower. It was generally noticed that the climatological corrections given by Legates are significantly higher in the tropics. Note further that single 6 4 3 2 1 14 12 1 8 6 4 2 4 3 3 2 2 1 1 1 9 8 7 6 4 3 2 1 January February March April May June Fig. 3. Annual cycle of the corrections calculated for 1996 and 1997, compared with the corresponding climatological corrections from Legates (1987). The corrections are averaged over the GEWEX regions,, and (Fig. 2). Note that scaling is different for individual plots. July August September October November December

First author: M. Ungersböck 4 high corrections (Fig. 2) are generally due to low precipitation amounts. In these cases wetting and evaporation losses are of same order as measured values resulting in ahighpercentage of the corrections. 4 Conclusions Selected results from a correction model, designed to reduce the measurement bias of daily rain gauges in real time, have been presented. The correction model concentrates on the main effect that causes the undercatch of gauges, specifically the wind-induced error. Actual wind speed, temperature, rain intensity (estimated from 6- and 12-hourly observations) and information on the gauge (type, shielded or unshielded, height of the orifice) are regularly implemented into the correction procedure. Further, the currently used data base on the national rain gauges (Sevruk and Klemm, 1989), will be updated using the forthcoming initiative of the WMO on compiling a new catalogue of national standard rain gauges. Site specific parameters (Sevruk and Zahlavova, 1994) cannot be included since they are generally unknown. Currently no corrections have been done for trace and blowing snow, which has been shown to be important in the wind-loss adjustment in polar regions (Yang et al., 1998). For simplifications we use a threshold of wind speed to avoid the influence of blowing snow. Despite these simplifications, necessary to apply the correction model to global data sets, the results have been shown to be similar to those given by other authors (Legates and Willmott, 199). Daily corrected precipitation estimates will be used by the Global Precipitation Climatology Centre (Fuchs et al., 2) for evaluation of the monthly precipitation estimates corrected after Reiss et al. (1992). The purpose of these data is the verification of climate model results and the calibration of global satellite precipitation estimates (Rudolf et al., 2). Finally, the correction model was applied to the very dense non-synoptic rain gauge networks of. By this application 3 years of daily corrected meso-scale precipitation fields over the Baltic Sea drainage basin (Rubel and Hantel, 2) are now available. Acknowledgements. This research was supported by the DWD- Project Implementation of an operational method for the correction of systematic measurement errors and objective analysis of daily rain gauge observations at the Global Precipitation Climatology Centre (GPCC) (in German) and by the Jubiläumsfonds der Österreichischen Nationalbank (Project No. 787). References Fuchs, T., Rapp, J., Rubel, F., and Rudolf, B., Correction of synoptic precipitation observations due to systematic measurement errors with special regard to precipitation phases. Phys. Chem. Earth, This issue, 2. Goodison, B., Louie, P., and Yang, D., WMO Solid Precipitation Measurement Intercomparison. Instruments and Observing Methods. Report No. 67, WMO/TD-No. 872, Geneva, 211pp, 1998. Groisman, P. Ya., and Easterling, D. R., Variability and trends of total precipitation and snowfall over the United States and Canada. J. Climate, 7, 184-2, 1994. Legates, D. R., A Climatology of Global Precipitation. Publications in Climatology, Univ. of Delaware, 14pp, 1987. Legates, D. R., and Willmott, C. J., Mean seasonal and spatial variability in gauge-corrected, global precipitation. Int. J. Climatol., 1, 111-127, 199. Reiss, M., Hauschild, H., Rudolf, B., and Schneider, U., Compensation for the systematic error in precipitation measurement (in German). Meteorol. Zeitschrift N.F., 1, 1-8, 1992. Rubel, F., and Hantel M., Correction of daily rain gauge measurements in the Baltic Sea drainage basin. Nordic Hydrology, 3, 191-28, 1999. Rubel, F., and Hantel, M., precipitation analysis: Results from the BRIDGE preparation phase. Phys. Chem. Earth, This issue, 2. Rubel, F., Ungersböck, M., Skomorowski, P., Auer, I., Rudolf, B., Fuchs, T., and Rapp, J., On the correction of systematic rain gauge measurement errors, MAP Climate Workshop, Interlaken, Switzerland, 31 March to 1 April, 2. Rudolf, B., The temporal-spatial structure of global precipitation estimates (in German). Berichte des Deutschen Wetterdienstes, 196, 13pp, 199. Rudolf, B., Gruber, A., Adler, R., Huffman, G., Janowiak, J., and Xie, P.-P., GPCP precipitation analyses based on observations as a basis of NWP and Climate model verification. WCRP-19, WMO/TD-No. 98, Geneva, 196-2, 2. Sevruk, B., and Klemm, S., Catalogue of national standard precipitation gauges. Instruments and Observing Methods Report No. 39, WMO/TD-No. 313, Geneva, pp, 1989. Sevruk, B., and Zahlavova, L., Classification system of precipitation gauge site exposure: Evaluation and application. Internat. J. Climatol., 14, 681-689, 1994. Ungersböck, M., Correction of Systematic Errors of Worldwide Synoptic Precipitation Measurements (in German). Master Thesis, University of Vienna, 97pp, 2. Yang, D., Goodison, B. E.,Ishida, I., and Benson, C. B., Adjustment of daily precipitation at 1 climate stations in Alaska: Application of WMO Intercomparison results. Water Resour. Res., 34, 241-26, 1998.