Calculation of the aeolian sediment flux-density profile based on estimation of the kernel density

Aeolian Research

Volumn 16, Issue , 2015, Pages 49-54

  Li, Meng ^a   Dong, Zhibao ^a   Zhang, Zhengcai ^a  

^a Chinese Academy of Sciences   (China)

Author keywords

Bandwidth; Kernel density estimation; Nonparametric method; Sediment flux density profile

Indexed keywords

DENSITY; EOLIAN DEPOSIT; ESTIMATION METHOD; FLUX MEASUREMENT; SEDIMENTATION;

EID: 84911872589     PISSN: 18759637     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aeolia.2014.11.003     Document Type: Article

References (45)

1. Anderson R.S., Haff P.K. Simulation of aeolian saltation. Science 1988, 5(241):820-823.
2. Anderson R.S., Haff P.K. Wind modification and bed response during saltation of sand in air. Acta Mech. 1991, (Suppl. 1):21-51.
3. Bashtannyk D.M., Hyndman R.J. Bandwidth selection for kernel conditional density estimation. Comput. Stat. Data Anal. 2001, 36(3):279-298.
4. Bowman A.W. An alternative method of cross-validation for the smoothing of density estimates. Biometrika 1984, 71(2):353-360.
5. Butterfield G.R. Near-bed mass flux profiles in aeolian sand transport: high-resolution measurements in a wind tunnel. Earth Surf. Processes Landforms 1999, 24(5):393-412.
6. Cao R., Cuevas A., Manteiga W.G. A comparative study of several smoothing methods in density estimation. Comput. Stat. Data Anal. 1994, 17(2):153-176.
7. Dong Z., Liu X., Wang H., Zhao A., Wang X. The flux profile of a blowing sand cloud: a wind tunnel investigation. Geomorphology 2002, 49(3-4):219-230.
8. Dong Z., Lu J., Man D., Lv P., Qian G., Zhang Z., Luo W. Equations for the near-surface mass flux density profile of wind-blown sediments. Earth Surf. Processes Landforms 2011, 36(10):1292-1299.
9. Dong Z., Lv P., Zhang Z., Qian G., Luo W. Aeolian transport in the field: a comparison of the effects of different surface treatments. J. Geophys. Res. 2012, 117:D09210.
10. Dong Z., Qian G., Luo W., Wang H. Analysis of the mass flux profiles of an aeolian saltating cloud. J. Geophys. Res. 2006, 111:D16111.
11. Dong Z., Wang X., Liu L. Wind erosion in arid and semi-arid China: an overview. J. Soil Water Conserv. 2000, 55(4):439-444.
12. Dutta S. Estimation of the MISE and the optimal bandwidth vector of a product kernel density estimate. J. Stat. Plann. Infer. 2011, 141(5):1817-1831.
13. Efron B. Bootstrap methods: another look at the jackknife. Ann. Stat. 1979, 7(1):1-26.
14. Efron B. The Jackknife, The Bootstrap, and Other Resampling Plans 1982, Soc. Indus. Appl. Math, Philadelphia.
15. Efron B., Stein C. The jackknife estimate of variance. Ann. Stat. 1981, 9(3):586-596.
16. Ellis J.T., Li B., Farrell E.J., Sherman D.J. Protocols for characterizing aeolian mass-flux profiles. Aeolian Res. 2009, 1(1):19-26.
17. Greeley R., Blumberg D.G., Williams S.H. Field measurements of the flux and speed of wind-blown sand. Sedimentology 1996, 43(1):41-52.
18. Hall P., Park B.U. New methods for bias correction at endpoints and boundaries. Ann. Stat. 2002, 30(5):1460-1479.
19. Han Y., Fang X., Zhao T., Bai H., Kang S., Song L. Suppression of precipitation by dust particles originated in the Tibetan Plateau. Atmos. Environ. 2009, 43(3):568-574.
20. Jones M.C. Simple boundary correction for density estimation kernel. Stat. Comput. 1993, 3(3):135-146.
21. Jones M.C., Kappenman R.F. On a class of kernel density estimate bandwidth selectors. Scand. J. Stat. 1991, 19(4):337-349.
22. Kang L., Guo L., Liu D. Reconstructing the vertical distribution of the aeolian saltation mass flux based on the probability distribution of lift-off velocity. Geomorphology 2008, 96(1-2):1-15.
23. Katkovnik V., Shmulevich I. Nonparametric density estimation with adaptive varying window size. Pattern Recognit. 2002, 23(14):1641-1648.
24. Karunamuni R.J., Alberts T. On boundary correction in kernel density estimation. Stat. Method. 2005, 2(3):191-212.
25. Lal R. Soil Erosion in the Tropics: Principles and Management 1990, McGraw Hill, New York.
26. Loftsgaarden D.O., Quesenberry C.P. A nonparametric estimate of a multivariate density function. Ann. Math. Stat. 1965, 36(3):1049-1051.
27. Marron, J.S., Ruppert, D., 1994. Transformations to reduce boundary bias in kernel.
28. Mnatsakanov R., Sarkisian K. Varying kernel density estimation on R+. Stat. Probab. Lett. 2012, 82(7):1337-1345.
29. Namikas S. Field measurement and numerical modeling of aeolian mass flux distributions on a sandy beach. Sedimentology 2003, 50(2):303-326.
30. Park B.U., Marron J.S. Comparison of data-driven bandwidth selectors. J. Am. Stat. Assoc. 1990, 85(409):66-72.
31. Parzen E. On estimation of a probability density function and mode. Ann. Math. Stat. 1962, 33(3):1065-1076.
32. Rosenblatt M. Remarks on some nonparametric estimates of a density function. Ann. Math. Stat. 1956, 27(3):832-837.
33. Rudemo M. Empirical choice of histograms and kernel density estimation. Scand. J. Stat. 1982, 9:65-78.
34. Ruppert D., Cline D. Bias reduction in kernel density estimation by smoothed empirical transformations. Ann. Stat. 1994, 22(1):185-210.
35. Scott D.W., Terrell G.R. Biased and unbiased cross-validation in density estimation. J. Am. Stat. Assoc. 1987, 82:1131-1146.
36. Shi F., Huang N. Computational simulations of blown sand fluxes over the surfaces of complex microtopography. Environ. Modell. Softw. 2010, 25(3):362-367.
37. Silverman B.W. Density Estimation for Statistics and Data Analysis 1986, Chapman and Hall, London.
38. Silverman B.W., Young G.A. The bootstrap: to smooth or not to smooth. Biometrika 1987, 7(4):469-479.
39. Simonoff J.S. Smoothing Methods in Statistics 1996, Springer-Verlag, New York.
40. Sterk G., Raats P.A.C. Comparison of models describing the vertical distribution of wind-eroded sediment. Soil Sci. Soc. Am. J. 1996, 60:1914-1919.
41. Triola M.F. Elementary Statistics 2010, Addison Wesley, New Jersey.
42. Wand M., Jones M. Kernel Smoothing 1995, Chapman and Hall, London.
43. Wasserman L. All of Nonparametric Statistics 2007, Springer, New York.
44. Zhang Z., Dong Z., Zhao A. Observations of Gobi aeolian transport and wind fetch effect. Sci. China Earth Sci. 2012, 55(8):1323-1328.
45. Zheng X., He L., Wu J. Vertical profiles of mass flux for windblown sand movement at steady state. J. Geophys. Res. 2004, 109:B01106.