Mapping of monthly mean snow depth in Northern Xinjiang using a multivariate nonlinear regression Kriging model based on MODIS snow cover data
XU Jianhui1, SHU Hong1, LI Yang2
1. State Key Laboratory of Information Engineering in Surveying, Mapping and Remote Sensing, Wuhan University, Wuhan 430079, China; 2. Institute of Desert Meteorology, CMA, Urumqi 830002, China
Abstract：To accurately map the spatial-temporal variability of snow depth in Northern Xinjiang, the authors analyzed the spatial autocorrelation of monthly mean snow depths of 48 meteorological stations from December 2006 to January 2007, and investigated the relationship between snow depth, longitude, latitude and elevation. A multivariate nonlinear regression Kriging (MNRK) model based on the MODIS snow cover data is proposed to predict the spatial patterns of monthly mean snow depth. Relative to the ordinary Kriging (OK) and CoKriging with elevation (CoK) as covariate, the relative root mean square error(RRMSE) of predicted snow depth decreased by 15.14% and 9.54% in December, and decreased by 4.8% and 6.7% in January. The comparative results show that the MNRK method outperforms the other two methods. Integrating more information related to snow depth, the MNRK method is more efficient in capturing more spatial details of snow depth which varies with longitude, latitude and elevation. The CoK method without significantly correlated covariate produces worse results than the OK method.
许剑辉, 舒红, 李杨. 基于MODIS雪盖数据的北疆雪深多元非线性回归克里金插值[J]. 国土资源遥感, 2015, 27(3): 84-91.
XU Jianhui, SHU Hong, LI Yang. Mapping of monthly mean snow depth in Northern Xinjiang using a multivariate nonlinear regression Kriging model based on MODIS snow cover data. REMOTE SENSING FOR LAND & RESOURCES, 2015, 27(3): 84-91.
[1] 李江风.新疆气候[M].北京:气象出版社,1991. Li J F.Climate of Xinjiang[M].Beijing:China Meteorological Press,1991. [2] Huang X D,Liang T G,Zhang X T,et al.Validation of MODIS snow cover products using Landsat and ground measurements during the 2001-2005 snow seasons over northern Xinjiang,China[J].International Journal of Remote Sensing,2011,32(1):133-152. [3] Liang T G,Huang X D,Wu C X,et al.An application of MODIS data to snow cover monitoring in a pastoral area:A case study in Northern Xinjiang,China[J].Remote Sensing of Environment,2008,112(4):1514-1526. [4] 侯小刚.基于多源数据的阿勒泰地区积雪深度研究[D].新疆:新疆师范大学,2013. Hou X G.Study of Snow Depth Based on Multi-Source Data About Aletai Area[D].Xinjiang:Xinjiang Normal University,2013. [5] 白淑英,史建桥,沈渭寿,等.近30年西藏雪深时空变化及其对气候变化的响应[J].国土资源遥感,2014,26(1):144-151.doi:10.6046/gtzyyg.2014.01.25. Bai S Y,Shi J Q,Shen W S,et al.Spatial-temporal variation of snow depth in Tibet and its response to climatic change in the past 30 years[J].Remote Sensing for Land and Resources,2014,26(1):144-151.doi:10.6046/gtzyyg.2014.01.25. [6] Wang X W,Xie H J,Liang T G.Evaluation of MODIS snow cover and cloud mask and its application in Northern Xinjiang,China[J].Remote Sensing of Environment,2008,112(4):1497-1513. [7] 卢新玉,王秀琴,崔彩霞,等.基于AMSR-E的北疆地区积雪深度反演[J].冰川冻土,2013,35(1):40-47. Lu X Y,Wang X Q,Cui C X,et al.Snow depth retrieval based on AMSR-E data in Northern Xinjiang Region,China[J].Journal of Glaciology and Geocryology,2013,35(1):40-47. [8] Dai L Y,Che T,Wang J,et al.Snow depth and snow water equivalent estimation from AMSR-E data based on a priori snow characteristics in Xinjiang,China[J].Remote Sensing of Environment,2012,127:14-29. [9] 徐倩,刘志辉,房世峰.融雪期积雪深度高光谱反演方法研究[J].光谱学与光谱分析,2013,33(7):1927-1931. Xu Q,Liu Z H,Fang S F.Retrieval method for estimating snow depth using hyperspectral data in snowmelt period[J].Spectroscopy and Spectral Analysis,2013,33(7):1927-1931. [10] McCreight J L,Slater A G,Marshall H P,et al.Inference and uncertainty of snow depth spatial distribution at the kilometre scale in the Colorado Rocky Mountains:The effects of sample size,random sampling,predictor quality,and validation procedures[J].Hydrological Processes,2014,28(3):933-957. [11] Erxleben J,Elder K,Davis R.Comparison of spatial interpolation methods for estimating snow distribution in the Colorado Rocky Mountains[J].Hydrological Processes,2002,16(18):3627-3649. [12] Balk B,Elder K.Combining binary decision tree and geostatistical methods to estimate snow distribution in a mountain watershed[J].Water Resources Research,2000,36(1):13-26. [13] López-Moreno J I,Nogués-Bravo D.A generalized additive model for the spatial distribution of snowpack in the Spanish Pyrenees[J].Hydrological Processes,2005,19(16):3167-3176. [14] 刘艳,阮惠华,张璞,等.利用MODIS数据研究天山北麓Kriging雪深插值[J].武汉大学学报:信息科学版,2012,37(4):403-405. Liu Y,Ruan H H,Zhang P,et al.Kriging interpolation of snow depth at the north of Tianshan Mountains assisted by MODIS data[J].Geomatics and Information Science of Wuhan University,2012,37(4):403-405. [15] 冯学智,柏延臣,史正涛,等.北疆地区积雪深度的克里格内插估计[J].冰川冻土,2000,22(4):358-361. Feng X Z,Bo Y C,Shi Z T,et al.Snow depth in North Xinjiang region estimated by Kriging interpolation[J].Journal of Glaciology and Geocryology,2000,22(4):358-361. [16] Hengl T,Heuvelink G B M,Stein A.A generic framework for spatial prediction of soil variables based on regression-Kriging[J].Geoderma,2004,120(1/2):75-93. [17] 崔彩霞,杨青,王胜利.1960-2003年新疆山区与平原积雪长期变化的对比分析[J].冰川冻土,2005,27(4):486-490. Cui C X,Yang Q,Wang S L.Comparison analysis of the long-term variations of snow cover between mountain and plain areas in Xinjiang region from 1960 to 2003[J].Journal of Glaciology and Geocryology,2005,27(4):486-490. [18] Getis A,Ord J K.The analysis of spatial association by use of distance statistics[J].Geographical Analysis,1992,24(3):189-206. [19] Paul Hiemstra. Automatic interpolation package[EB/OL].(2013-08-29)[2014-05-20].http://cran.r-project.org/web/packages/automap/automap.pdf. [20] 王秋香,魏文寿,王金明.新疆北疆最大积雪深度EOF展开场的时间变化规律[J].冰川冻土,2008,30(2):244-249. Wang Q X,Wei W S,Wang J M.Temporal variation of the maximum snow cover depth in north Xinjiang derive from EOF[J].Journal of Glaciology and Geocryology,2008,30(2):244-249. [21] 杨青,崔彩霞,孙除荣,等.1959-2003年中国天山积雪的变化[J].气候变化研究进展,2007,3(2):80-84. Yang Q,Cui C X,Sun C R,et al.Snow cover variation during 1959-2003 in Tianshan Mountains,China[J].Advances in Climate Change Research,2007,3(2):80-84.
2015, Vol. 27 
