Evaluating remotely sensed rainfall estimates using nonlinear mixed models and geographically weighted regression

Environmental Modelling and Software

Volumn 23, Issue 12, 2008, Pages 1438-1447

  Kamarianakis, Y ^a,b   Feidas, H ^c   Kokolatos, G ^d   Chrysoulakis, N ^b   Karatzias, V ^b  

^a UNIVERSITY OF CRETE   (Greece)

^b INSTITUTE OF COMPUTER SCIENCE   (Greece)

^c ARISTOTLE UNIVERSITY OF THESSALONIKI   (Greece)

^d UNIVERSITY OF THE AEGEAN   (Greece)

Author keywords

Geographically weighted regression; Nonlinear mixed models; Rainfall estimation; Remotely sensed estimations; Zero inflated lognormal distribution

Indexed keywords

CONCENTRATION (PROCESS); FOOD PROCESSING; PASSENGER CARS; PROBABILITY DISTRIBUTIONS; RISK ASSESSMENT; SATELLITES;

DERIVED DATA; ELSEVIER (CO); GEOGRAPHICALLY WEIGHTED REGRESSION (GWR); GLOBAL MEASURES; GROUND TRUTH; IN-SITU; INFRARED (IR); LOCAL SCALING; LOG-NORMAL DISTRIBUTIONS; MIXED MODEL (MM); NON-STATIONARITY; RAINFALL ESTIMATES; RAINFALL ESTIMATIONS; REMOTELY SENSED DATA;

ESTIMATION;

ALGORITHM; ATMOSPHERIC MODELING; ESTIMATION METHOD; RAINFALL; REGRESSION ANALYSIS; REMOTE SENSING; SPATIAL DISTRIBUTION; TESTING METHOD;

EID: 47849088725     PISSN: 13648152     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.envsoft.2008.04.007     Document Type: Article

References (50)

1. Adler R.F., and Negri A.J. A satellite infrared technique to estimate tropical convective and stratiform rainfall. Journal of Applied Meteorology 27 (1988) 30-51
2. Arkin P.A. The relationship between fractional coverage of high clouds and rainfall accumulation during GATE over B-scale array. Monthly Weather Review 107 (1979) 1382-1387
3. Arkin P.A., and Meisner B.N. The relationship between large-scale convective rainfall and cold cloud over the Western Hemisphere during 1982-1984. Monthly Weather Review 115 (1987) 51-74
4. Atkinson P.M., and Tate N.J. Spatial scale problems and geostatistical solutions: a review. Professional Geographer 52 (2000) 607-623
5. Berg W., and Chase R. Determination of mean rainfall from the special sensor Microwave/Imager (SSM/I) using a mixed lognormal distribution. Journal of Atmospheric and Oceanic Technology 9 (1992) 129-141
6. Brown P.E., Diggle P.J., Lord M.E., and Young P.C. Space-time calibration of radar rainfall data. Journal of the Royal Statistical Society Series C: Applied Statistics 50 (2001) 221-241
7. Brunsdon C., Fotheringham A.S., and Charlton M. Geographically weighted regression-modelling spatial nonstationarity. The Statistician 47 (1998) 431-443
8. Brunsdon C., Fotheringham A.S., and Charlton M. Some notes on parametric significance tests for geographically weighted regression. Journal of Regional Science 39 (1999) 497-524
9. Brunsdon C., Aitkin M., Fotheringham A.S., and Charlton M. A comparison of random coefficient modelling and geographically weighted regression for spatially nonstationary regression problems. Geographical and Environmental Modelling 3 (1999) 47-62
10. Casetti E. Generating models by the expansion method: applications to geographic research. Geographical Analysis 4 (1972) 81-91
11. Casetti E. The expansion method, mathematical modeling, and spatial econometrics. International Regional Science Review 20 (1997) 9-32
12. Clarke E.D., Speirs D.C., Heath M.R., Wood S.N., Gurney W.S.C., and Holmes S.J. Calibrating remotely sensed chlorophyll-a data by using penaized regression splines. Journal of the Royal Statistical Society Series C: Applied Statistics 55 (2006) 331-353
13. Cox C. Delta Method. In: Armitage P., and Colton T. (Eds). Encyclopedia of Biostatistics (1998), John Wiley, New York 1125-1127
14. De Michele C., Vezzoli R., Pavlopoulos H., and Scholes R.J. A minimal model of soil water-vegetation interactions forced by stochastic rainfall in water-limited ecosystems. Ecological Modelling 212 (2008) 397-407
15. Doneauld A.A., Ionesku-Niscov S., Priegnitz D.L., and Smith P.L. The area time integral as an indicator for convective rain volume. Journal of Climate and Applied Meteorology 23 (1984) 555-561
16. Feidas H. Validating three infrared-based rainfall retrieval algorithms for intense convective activity over Greece. International Journal of Remote Sensing 27 (2006) 2787-2812
17. Feidas H., Kokolatos G., Negri A., Manyin M., and Chrysoulakis N. A TRMM-calibrated infrared technique for rainfall estimation: application on rain events over eastern Mediterranean. Advances in Geosciences 7 (2006) 181-188
18. Feidas, H., Kokolatos, G., Negri, A., Manyin, M., Chrysoulakis, N., Kamarianakis, Y., A validation of an infrared-based satellite algorithm to estimate accumulated rainfall over the Mediterranean basin. Theoretical and Applied Climatology, in press, doi:10.1007/s00704-007-0360-y.
19. Fotheringham A.S., Brunsdon C., and Charlton M. Geographically Weighted Regression: The Analysis of Spatially Varying Relationships (2002), Wiley
20. Fotheringham A.S., and Pitts T.C. Directional variation in distance-decay. Environment and Planning A 27 (1995) 715-729
21. Gelfand A.E., Zhu L., and Carlin B.P. On the change of support problem for spatio-temporal data. Biostatistics 2 (2001) 31-45
22. Gotway C.A., and Young L.J. Combining incompatible spatial data. Journal of the American Statistical Association 97 (2002) 632-648
23. Griffith, C.G., Woodley, W.L., Browner, S., Teijeiro, J., Maier, M., Martin, D.W., Stout, J., Sikdar, D.N., 1976. Rainfall estimation from geosynchronous satellite imagery during daylight hours. NOAA Technical Report ERC 356-WMPO 7, Washington, D.C., USA.
24. Griffith C.G., Grube P.G., Martin D.W., Stout J., and Sikdar D.N. Rainfall estimation from geosynchronous satellite imagery, visible and infrared studies. Monthly Weather Review 106 (1978) 1153-1171
25. Griffith C.G., Augustine J.A., and Woodley W.L. Satellite rain estimation in the U.S. High Plains. Journal of Applied Meteorology 20 (1981) 53-66
26. Haiyan J., Black P.J., Ziptser E.J., Marks F.D., and Uhlhorn E.W. Validation of rain rate estimation in hurricanes from the stepped frequency microwave radiometer: algorithm correction and error analysis. Journal of the Atmospheric Sciences 63 (2006) 252-267
27. Hong Y., Hsu K., Sorooshian S., and Gao X. Precipitation estimation from remotely sensed imagery using an artificial neural network cloud classification system. Journal of Applied Meteorology 43 (2004) 1834-1852
28. Hsu K., Gao X., Sorooshian S., and Gupta H.V. Precipitation estimation from remotely sensed imagery using an artificial neural network. Journal of Applied Meteorology 36 (1997) 1176-1190
29. Jones III J.P., and Casetti E. Applications of the expansion method (1992), Routledge, London
30. Kedem B., and Chiu L.S. On the lognormality of rain rate. Proceedings of the National Academy of Sciences USA 84 (1987) 901-905
31. Kedem B., Chiu L.S., and North G.R. Estimation of mean rain rate: application to satellite observations. Journal of Geophysical Research 95 (1990) 1965-1972
32. Kedem B., Pavlopoulos H., Guan X., and Short D. A probability distribution model for rain rate. Journal of Applied Meteorology 33 (1994) 1486-1493
33. Kedem B., Pfeiffer R., and Short D.A. Variability of space-time mean rain rate. Journal of Applied Meteorology 36 (1997) 443-451
34. Kyriakidis P.C. A geostatistical framework for area-to-point spatial interpolation. Geographical Analysis 36 (2004) 259-289
35. Kyriakidis P.C., and Yoo E. Geostatistical prediction and simulation of point values from areal data. Geographical Analysis 37 (2005) 124-151
36. Littell R.C., Milliken G.A., Stroup W.W., Wolfinger R.D., and Schabenberger O. SAS for Mixed Models. second ed. (2006), SAS Institute Inc.
37. Lopez R.E., Atlas D., Rosenfeld D., Thomas J.L., Blanchard D.O., and Holle R.L. Estimation of rainfall using the radar echo area time integral. Journal of Applied Meteorology 28 (1989) 1162-1175
38. Marrocu M., Pompei A., Dalu G., Liberti G.L., and Negri A. Precipitation estimation over Sardinia from satellite infrared data. International Journal of Remote Sensing 14 (1993) 115-134
39. Menz G. Regionalization of precipitation models in east Africa using Meteosat data. International Journal Climatology 17 (1997) 1011-1027
40. Negri A.J., Adler R.F., and Wetzel P.J. Satellite rain estimation: an analysis of the Griffith-Woodley technique. Journal of Climate and Applied Meteorology 23 (1984) 102-116
41. Oh H.J., Sohn B.J., Smith E.A., Turk F.J., Ae-suk S., and Chung H.S. Validating infrared-based rainfall retrieval algorithms with 1-minute spatially dense raingauge measurements over Korean peninsula. Meteorology and Atmospheric Physics 81 (2002) 273-287
42. Pavlopoulos H., and Kedem B. Stochastic modelling of rain rate processes: a diffusion model. Stochastic Models 8 (1992) 397-420
43. Pinheiro J.C., and Bates D.M. Approximations to the log-likelihood function in the nonlinear mixed-effects model. Journal of Computational and Graphical Statistics 4 (1995) 12-35
44. Pinkerton, M.H., 2000. Validating remotely sensed ocean colour data using a moored databuoy. University of Southampton, Faculty of Science, School of Ocean and Earth Science, Ph.D. Thesis, 187 pp.
45. Pinkerton M.H., and Aiken J. Calibration and validation of remotely sensed observations of ocean color from a Moored data buoy. Journal of Atmospheric and Oceanic Technology 16 (1999) 915-923
46. Shimizu K. A bivariate lognormal distribution with an analysis of rainfall data. Journal of Applied Meteorology 32 (1993) 161-171
47. Shoji T., and Kitaura H. Statistical and geostatistical analysis of rainfall in central Japan. Computer and Geosciences 32 (2006) 1007-1024
48. von Clarmann T. Validation of remotely sensed profiles of atmospheric state variables: strategies and terminology. Atmospheric Chemistry and Physics 6 (2006) 4311-4320
49. Yoo C. A ground validation problem of remotely sensed soil moisture data. Stochastic Environmental Research and Risk Assessment 16 (2002) 175-187
50. Zhang R., Warrick A.W., and Myers D.E. Variance as a function of sample support size. Mathematical Geology 22 (1990) 107-122