{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,17]],"date-time":"2026-06-17T20:44:53Z","timestamp":1781729093578,"version":"3.54.5"},"reference-count":31,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2017,1,21]],"date-time":"2017-01-21T00:00:00Z","timestamp":1484956800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["No. 41071253"],"award-info":[{"award-number":["No. 41071253"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["No. 41271410"],"award-info":[{"award-number":["No. 41271410"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IJGI"],"abstract":"<jats:p>The spatial distribution of automatic weather stations in regions of western China (e.g., Tibet and southern Xingjiang) is relatively sparse. Due to the considerable spatial variability of precipitation, estimations of rainfall that are interpolated in these areas exhibit considerable uncertainty based on the current observational networks. In this paper, a new statistical method for estimating precipitation is introduced that integrates satellite products and in situ observation data. This method calculates the differences between raster data and point data based on the theory of data assimilation. In regions in which the spatial distribution of automatic weather stations is sparse, a nonparametric kernel-smoothing method is adopted to process the discontinuous data through correction and spatial interpolation. A comparative analysis of the fusion method based on the double-smoothing algorithm proposed here indicated that the method performed better than those used in previous studies based on the average deviation, root mean square error, and correlation coefficient values. Our results indicate that the proposed method is more rational and effective in terms of both the efficiency coefficient and the spatial distribution of the deviations.<\/jats:p>","DOI":"10.3390\/ijgi6010028","type":"journal-article","created":{"date-parts":[[2017,1,23]],"date-time":"2017-01-23T10:40:33Z","timestamp":1485168033000},"page":"28","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["A Double-Smoothing Algorithm for Integrating Satellite Precipitation Products in Areas with Sparsely Distributed In Situ Networks"],"prefix":"10.3390","volume":"6","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7295-1716","authenticated-orcid":false,"given":"Shuoben","family":"Bi","sequence":"first","affiliation":[{"name":"School of Geography &amp; Remote Sensing, Nanjing University of Information Science and Technology, Nanjing 210044, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Shengjie","family":"Bi","sequence":"additional","affiliation":[{"name":"Henry Samueli School of Engineering and Applied Science, University of California, Los Angeles, CA 90095-1594, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Dongqi","family":"Chen","sequence":"additional","affiliation":[{"name":"School of Geography &amp; Remote Sensing, Nanjing University of Information Science and Technology, Nanjing 210044, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jian","family":"Pan","sequence":"additional","affiliation":[{"name":"School of Geography &amp; Remote Sensing, Nanjing University of Information Science and Technology, Nanjing 210044, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jun","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Geography &amp; Remote Sensing, Nanjing University of Information Science and Technology, Nanjing 210044, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2017,1,21]]},"reference":[{"key":"ref_1","first-page":"205","article-title":"Weighted average method at the regional geoid refinement of the study","volume":"S1","author":"Yan","year":"2012","journal-title":"Bull. Surv. Mapp."},{"key":"ref_2","first-page":"152","article-title":"Interpolation of rainfall data with thin plate smoothing splines. Part II: Analysis of topographic dependence","volume":"2","author":"Hutchinson","year":"1998","journal-title":"J. Geogr. Inf. Decis. Anal."},{"key":"ref_3","first-page":"49","article-title":"Surface modeling of seasonal mean precipitation in China during 1951\u20132010","volume":"32","author":"Zhao","year":"2013","journal-title":"Prog. Geogr."},{"key":"ref_4","first-page":"1101","article-title":"Spatial and temporal characteristics of rainfall erosivity in Shaanxi Province","volume":"37","author":"Hu","year":"2014","journal-title":"Arid Land Geogr."},{"key":"ref_5","first-page":"207","article-title":"Temporal and spatial distribution and influence factors of extreme precipitation in eastern Hexi corridor","volume":"38","author":"Qian","year":"2015","journal-title":"Arid Land Geogr."},{"key":"ref_6","first-page":"66","article-title":"Characteristic analyses and procedure evaluation of rainstorm in Shaanxi Province","volume":"37","author":"Cheng","year":"2014","journal-title":"Arid Land Geogr."},{"key":"ref_7","first-page":"108","article-title":"Spatial downscaling of precipitation using Multi-source remote sensing data: A case study of Sichuan-Chongqing region","volume":"17","author":"Ji","year":"2015","journal-title":"J. Geo-Inf. Sci."},{"key":"ref_8","first-page":"253","article-title":"Quality assessment of the TRMM precipitation date in mid Tianshan Mountain","volume":"36","author":"Ji","year":"2013","journal-title":"Arid Land Geogr."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"1965","DOI":"10.1175\/1520-0450(2001)040<1965:TSOTTR>2.0.CO;2","article-title":"The status of the Tropical Rainfall Measuring Mission (TRMM) after two years in orbit","volume":"39","author":"Kummerow","year":"2000","journal-title":"J. Appl. Meteor."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"207","DOI":"10.1016\/j.jhydrol.2008.07.032","article-title":"Daily hydrological modeling in the Amazon Basin using TRMM rainfall estimates","volume":"360","author":"Collischonn","year":"2008","journal-title":"J. Hydrol."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"622","DOI":"10.1175\/2007JHM944.1","article-title":"Evaluation of TRMM Multisatellite Precipitation Analysis (TMPA) and its utility in hydrologic prediction in the La Plata basin","volume":"9","author":"Su","year":"2008","journal-title":"J. Hydrometeor."},{"key":"ref_12","unstructured":"Chiew, F.H.S., Vaze, J., Viney, N.R., Jordan, P.W., Perraud, J.M., Zhang, L., Teng, J., and Young, W.J. (2008). Rainfall-Runoff Modelling across the Murray-Darling Basin: A Report to the Australian Government from the CSIRO Murray-Darling Basin Sustainable Yields Project, CSIRO."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1016\/j.envsoft.2015.01.011","article-title":"Comparing interpolation techniques for monthly rainfall mapping using multiple evaluation criteria and auxiliary data sources: A case study of Sri Lanka","volume":"67","author":"Plouffe","year":"2015","journal-title":"Environ. Model. Softw."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"7643753","DOI":"10.1155\/2016\/7643753","article-title":"Estimation of areal mean rainfall in remote areas using B-SHADE Model","volume":"2016","author":"Zhang","year":"2016","journal-title":"Adv. Meteorol."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.csda.2012.06.004","article-title":"Minimum quadratic distance density estimation using nonparametric mixtures","volume":"57","author":"Chee","year":"2013","journal-title":"Comput. Statist. Data Anal."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"100","DOI":"10.1016\/j.jhydrol.2012.04.009","article-title":"Gauge based precipitation estimation and associated model and product uncertainties","volume":"444","author":"Shao","year":"2012","journal-title":"J. Hydrol."},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Long, Y., Zhang, Y., and Ma, Q. (2016). A merging framework for rainfall estimation at high spatiotemporal resolution for distributed hydrological modeling in a data-scarce area. Remote Sens., 8.","DOI":"10.3390\/rs8070599"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"2153","DOI":"10.1175\/JHM-D-14-0197.1","article-title":"A comparative analysis of TRMM\u2013Rain gauge data merging techniques at the daily Time scale for distributed rainfall\u2013runoff modeling applications","volume":"16","author":"Nerini","year":"2015","journal-title":"J. Hydrometeor."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1175\/JAMC-D-15-0065.1","article-title":"Evaluating satellite-based diurnal cycles of precipitation in the African Tropics","volume":"55","author":"Pfeifroth","year":"2016","journal-title":"J. Appl. Meteor. Climatol."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"338","DOI":"10.1016\/j.spasta.2015.07.003","article-title":"Estimation of a non-stationary model for annual precipitation in southern Norway using replicates of the spatial field","volume":"14","author":"Ingebrigtsen","year":"2015","journal-title":"Spat. Stat."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1016\/j.jhydrol.2013.04.024","article-title":"Evaluating geostatistical methods of blending satellite and gauge data to estimate near real-time daily rainfall for Australia","volume":"493","author":"Chappell","year":"2013","journal-title":"J. Hydrol."},{"key":"ref_22","doi-asserted-by":"crossref","unstructured":"Lv, A., and Zhou, L. (2016). A rainfall model based on a geographically weighted regression algorithm for rainfall estimations over the arid Qaidam Basin in China. Remote Sens., 8.","DOI":"10.3390\/rs8040311"},{"key":"ref_23","doi-asserted-by":"crossref","unstructured":"Chen, F., and Li, X. (2016). Evaluation of IMERG and TRMM 3B43 monthly precipitation products over mainland China. Remote Sens., 8.","DOI":"10.3390\/rs8060472"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"632","DOI":"10.1198\/016214502760047140","article-title":"Combining incompatible spatial data","volume":"97","author":"Gotway","year":"2002","journal-title":"J. Am. Stat. Assoc."},{"key":"ref_25","first-page":"259","article-title":"A geostatistical framework for area-to-point spatial interpolation","volume":"36","author":"Kyriakidis","year":"2004","journal-title":"Geogr. Anal."},{"key":"ref_26","first-page":"1381","article-title":"Analysis of the combined gauge-satellite hourly precipitation over China based on the OI technique","volume":"70","author":"Pan","year":"2012","journal-title":"Acta Meteorol. Sin."},{"key":"ref_27","first-page":"549","article-title":"Preliminary studies on merged techniques based on precipitation information from multiplatform (radar, satellite and rain gauge)","volume":"32","author":"Gao","year":"2013","journal-title":"Plateau Meteorol."},{"key":"ref_28","first-page":"37","article-title":"Quality assessment of hourly merged precipitation product over China","volume":"36","author":"Shen","year":"2013","journal-title":"Trans. Atmos. Sci."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"195","DOI":"10.5194\/hess-13-195-2009","article-title":"Evaluation of radar-gauge merging methods for quantitative precipitation estimates","volume":"13","author":"Goudenhoofdt","year":"2009","journal-title":"Hydrol. Earth Syst. Sci."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"51","DOI":"10.1016\/j.jhydrol.2010.01.023","article-title":"An improved statistical approach to merge satellite rainfall estimates and raingauge data","volume":"385","author":"Li","year":"2010","journal-title":"J. Hydrol."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1016\/S0378-3758(02)00184-2","article-title":"An interpolation method for adapting to sparse design in multivariate nonparametric regression","volume":"116","author":"Chu","year":"2003","journal-title":"J. Stat. Plan. 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