An isofactorial change-of-scale model for the wind speed probability density function

Journal of Atmospheric and Oceanic Technology

Volumn 27, Issue 2, 2010, Pages 257-273

  Morrissey, Mark L ^a   Albers, Angie ^b   Greene, J Scott ^b   Postawko, Susan ^a  

^a UNIVERSITY OF OKLAHOMA   (United States)

^b Environmental Verification and Analysis Center   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPARISON STUDY; DATA SETS; DIFFERENT SCALE; MEASUREMENT SCALE; MOMENTUM FLUX; NONLINEAR GEOSTATISTICS; ORTHOGONAL POLYNOMIAL; PARAMETERIZATION SCHEMES; PROBABILITY DENSITY FUNCTION (PDF); SAMPLING ERRORS; SCALE MODELS; SCALING PARAMETER; SUBGRID SCALE; SURFACE ENERGY FLUXES; TIME-SPACE; WIND POWER DENSITY; WIND SPEED;

CLIMATOLOGY; METEOROLOGICAL PROBLEMS; OCEANOGRAPHY; PROBABILITY DISTRIBUTIONS; SPEED; SURFACE CHEMISTRY; SURFACE TENSION; WIND EFFECTS; WIND POWER;

PROBABILITY DENSITY FUNCTION;

ENERGY FLUX; ESTIMATION METHOD; GEOSTATISTICS; MOMENTUM TRANSFER; NONLINEARITY; NUMERICAL MODEL; PARAMETERIZATION; PROBABILITY DENSITY FUNCTION; SAMPLING BIAS; SURFACE FLUX; VARIANCE ANALYSIS; WIND VELOCITY;

EID: 77952503990     PISSN: 07390572     EISSN: None     Source Type: Journal    
DOI: 10.1175/2009JTECHA1313.1     Document Type: Article

References (43)

1. Abramowitz, M., and I. A. Stegun, 1972: Handbook of Mathematical Functions. Dover, 1046 pp.
2. Alfsen, E. M., 1971: Compact Convex Sets and Boundary Integrals. Springer, 210 pp.
3. Bauer, E., 1996: Characteristic frequency distributions of remotely sensed in situ and modeled wind speeds. Int. J. Climatol., 16, 1087-1102.
4. Blinnikov, S., and R. Moessner, 1998: Expansion for nearly Gaussian distributions. Astron. Astrophys. Suppl. Ser., 130, 193-205.
5. Brock, F. V., K. C. Crawford, R. L. Elliott, G. W. Cuperus, S. J. Stadler, H. L. Johnson, and M. D. Eilts, 1995: The Oklahoma Mesonet: A technical overview. J. Atmos. Oceanic Technol., 12, 5-19.
6. Capps, S. B., and C. S. Zender, 2008: Observed and CAM3 GCM sea surface wind speed distributions: Characterization, comparison, and bias reduction. J. Climate, 21, 6569-6585.
7. Chiles, J. P., and P. Delfiner, 1999: Geostatistics: Modeling Spatial Uncertainty. J. Wiley & Sons, 695 pp.
8. Efromovich, S., 1999: Nonparametric Curve Estimation, Methods, Theory and Applications. Springer-Verlag, 411 pp.
9. 2 fluxes in the equatorial Pacific Ocean. J. Geophys. Res., 109, C08S03, doi:10.1029/2003JC001896.
10. Garcia-Bustamante, E., J. F. Gonzalex-Rouco, P. A. Jimenez, J. Navarro, and J. P. Montavez, 2008: The influence of the Weibull assumption on monthly wind energy estimation. Wind Energy, 11, 483-502.
11. Ghosh, B., 1951: Random distances within a rectangle and between two rectangles. Bull. Calcutta Math. Soc., 43, 17-24.
12. Hennessey, J. O., 1977: Some aspects of wind power statistics. J. Appl. Meteor., 16, 119-128.
13. Holland, J. Z., 1973:Astatistical method for analyzing wave shapes and phase relationships of fluctuating geophysical variables. J. Phys. Oceanogr., 3, 139-155.
14. Isemer,H.-J., and L.Hasse, 1991: The scientific Beaufort equivalent scale: Effects on wind statistics and climatological air-sea flux estimates in the North Atlantic Ocean. J. Climate, 4, 819-836.
15. Jones, P. D., T. J. Osborn, and K. R. Briffa, 1997: Estimating sampling errors in large-scale temperature averages. J. Climate, 10, 2548-2568.
16. Journel, A. G., Ch. J. Huijbregts, 1978: Mining Geostatistics. Academic Press, 600 pp.
17. Justus, C. G., K. Mani, and A. S. Mikhail, 1979: Interannual and month-to-month variations of wind speed. J. Appl. Meteor., 18, 913-920.
18. Kendall, M. G., 1941: Proof of relations connected with the tetrachoric series and its generalizations. Biometrika, 32, 196-198.
19. Lackner, M. A., A. L. Rogers, and J. F. Manwell, 2008: Uncertainty analysis in MCP-based wind resource assessment and energy production estimation. J. Sol. Energy Eng., 130, 031006, doi:10.1115/1.2931499.
20. Li, M., and X. Li, 2005: MEP-type distribution function: A better alternative to Weibull function for wind speed distributions. Renew. Energy, 30, 1221-1240.
21. Liu, W. T., W. Tang, and X. Xie, 2008: Wind power distribution over the ocean. Geophys. Res. Lett., 35, L13808, doi:10.1029/ 2008GL034172.
22. Mahrt, L. T., and J. Sun, 1995: The subgrid velocity scale in the bulk aerodynamic relationship for spatially averaged scalar fluxes. Mon. Wea. Rev., 123, 3032-3041.
23. Matheron, G., 1976: Forecasting block grade distributions: The transfer functions. Advanced Geostatistics in the Mining Industry, M. Guarascio, M. David, and C. Huijbreghts, Eds., Reidel, 237-251.
24. Meissner, T., D. Smith, and F. Wentz, 2001: A 10year intercomparison between collocated Special Sensor Microwave Imager oceanic surface wind speed retrievals and global analyses. J. Geophys. Res., 106, 11 731-11 742.
25. Monahan, A. H., 2006a: The probability distribution of sea surface wind speeds. Part I: Theory and sea winds observations. J. Climate, 19, 497-520.
26. Monahan, A. H., 2006b: The probability distribution of sea surface wind speeds. Part II: Dataset intercomparison and seasonal variability. J. Climate, 19, 521-534.
27. Monahan, A. H., 2007: Empirical models of the probability distribution of sea surface wind speeds. J. Climate, 20, 5798-5814.
28. Morrissey, M. L., and J. S. Greene, 2008: A theoretical framework for the sampling error variance for three-dimensional climate averages of ICOADS monthly ship data. Theor. Appl. Climatol., 96, 235-248, doi:10.1007/s00704-008-0027-3.
29. Morrissey, M. L., and J. S. Greene, J. A. Maliekal, J. S. Greene, and J. Wang, 1995: The uncertainty of simple spatial averages using rain gauge networks. Water Resour. Res., 31, 2011-2017.
30. Ortiz, J. M., B. Oz, and C. V. Deutsch, 2005: A step by step guide to bi-Gaussian disjunctive kriging. Quantitative Geology and Geostatistics, Springer, 1097-1102.
31. Parker, D. E., 1984: The statistical effects of incomplete sampling of coherent data series. J. Climatol., 4, 445-449.
32. Pavia, E. G., and J. J. O'Brien, 1986: Weibull statistics of wind speed over the ocean. J. Climate Appl. Meteor., 25, 1324-1332.
33. Rivoirard, J., 1994: Introduction to Disjunctive Kriging and Nonlinear Geostatistics. Oxford University Press, 180 pp.
34. Rodri{dotless}́guez-Iturbe, I., and J. M. Meji{dotless}́a, 1974: The design of rainfall networks in time and space. Water Resour. Res., 10, 713-728.
35. Rozanov, Y. A., 1997: Probability Theory: A Concise Course. Courier Dover, 148 pp.
36. Silverman, B. W., 1998: Density Estimation. Chapman and Hall, 175 pp.
37. van der Marel, R. P., and M. Franx, 1993: A new method for the identification of non-Gaussian line profiles in elliptical galaxies. Astrophys. J., 407, 525-539.
38. Vickers, D., and S. Esbensen, 1998: Subgrid surface fluxes in fair weather conditions during TOGA COARE: Observational estimates and parameterizations. Mon. Wea. Rev., 126, 620-633.
39. Wackernagel, H., 2003: Multivariate Geostatistics. Springer, 387 pp.
40. Wang, C., R. H. Weisberg, and H. Yang, 1998: Effects of the wind speed-evaporation-SST feedback on the El Nin{ogonek} o-Southern Oscillation. J. Atmos. Sci., 56, 1391-1403.
41. Wanninkhof, R., 1992: Relationship between wind speed and gas exchange over the ocean. J. Geophys. Res., 97, 7373-7382.
42. Wright, D. G., and K. R. Thompson, 1983: Time-averaged forms of the nonlinear stress law. J. Phys. Oceanogr., 13, 341-345.
43. Zilinskas, A., 2003: On the distribution of the distance between two points in a cube. Random Oper. Stochastic Equations, 11, 21-24.