Probability density function: A tool for simultaneous monitoring of pore/solid roughness and moisture content

Geoderma

Volumn 160, Issue 1, 2010, Pages 93-104

  Oleschko, K ^a   Korvin, G ^b   Flores, L ^c   Brambila, F ^c   Gaona, C ^c,d   Parrot, J F ^c   Ronquillo, G ^e   Zamora, S ^a  

^a CENTRO DE GEOCIENCIAS   (Mexico)

^b KING FAHD UNIVERSITY OF PETROLEUM AND MINERALS   (Saudi Arabia)

^c UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

^d UNIVERSIDAD AUTÓNOMA DE QUERÉTARO   (Mexico)

^e INSTITUTO MEXICANO DEL PETRÓLEO   (Mexico)

Author keywords

Gray level frequency distribution; Hurst exponent; Soil structure; Visual singularity

Indexed keywords

IMAGE ANALYSIS; MOISTURE CONTROL; MOISTURE DETERMINATION; PERMITTIVITY; SOIL MOISTURE;

DIELECTRIC PERMITTIVITIES; FREQUENCY DISTRIBUTIONS; HURST EXPONENTS; PROBABILITY DENSITY FUNCTION (PDF); SIMULTANEOUS MONITORING; SOIL MOISTURE MONITORING; SOIL STRUCTURE; VISUAL SINGULARITY;

PROBABILITY DENSITY FUNCTION;

DIELECTRIC PROPERTY; GREENHOUSE EFFECT; IMAGE ANALYSIS; MOISTURE CONTENT; MONITORING; POROSITY; PROBABILITY DENSITY FUNCTION; ROUGHNESS; SOIL MOISTURE; SOIL STRUCTURE;

EID: 77953934347     PISSN: 00167061     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.geoderma.2009.10.015     Document Type: Article

References (58)

1. Abbot D. Overview: unresolved problems of noise and fluctuations. Chaos 2001, 11(3):526-538.
2. Akanuma Y., Tsukahara K. LED display device. Patent Abstracts of Japan, Pat. JP2005084345 2005.
3. Allain C., Cloitre M. Characterizing the lacunarity of random and deterministic fractal sets. Physical Review A 1991, 44(6):3552-3558.
4. Balankin A.S. Dynamic scaling approach to study time series fluctuations. Physical Review E. 2007, 76:56120-56127.
5. Barabási A.-L., Stanley H.E. Fractal Concepts in Surface Growth 1995, Cambridge University Press, Cambridge, UK, 366 pp.
6. Balakrishnan N., Novzorov U.B. A Primer on Statistical Distributions 2005, Wiley, New York.
7. Bormann H., Breuer L., Graff T., Huisman J.A. Analyzing the effects of soil properties changes associated with land use changes, on the simulated water balance. Ecological Modelling 2007, 209(1):29-40.
8. Castleman K.R. Digital Image Processing 1996, Prentice-Hall, Inc., 667 pp.
9. Cohen S., Samorodnitsky G. Random rewards, fractional Brownian local times and stable self-similar processes. Annals Appl. Probability 2006, 16(3):1432-1461.
10. Da Fontoura Costa L., Marcondes R. Shape Analysis and Classification 2001, CRC Press, 659 pp.
11. Dana K.J., van Ginneken B., Nayar S.K., Koenderink J.J. Reflectance and texture of real world surfaces. ACM Transaction on Graphics 1999, 18(1):1-34.
12. Denisov S.I. Fractal dimension of random processes. Chaos Solitons & Fractals 1998, 9(9):1491-1496.
13. Feagin R.A. Heterogeneity versus homogeneity: a conceptual and mathematical theory in terms of scale-invariant and scale-covariant distributions. Ecological Complexity 2005, 2(4):339-356.
14. Flores, L., 2003. Dinámica de la estructura de suelos y sedimentos del ex - Lago de Texcoco: Enfoque Fractal. Tesis Doctor en Ciencias (Biología), UNAM, Posgrado en Ciencias Biologicas, México, D.F., 179 pp.
15. Gutiérrez C.C. Los suelos de la ribera oriental del ex lago de Texcoco (macro y micromorfologia). Tesis Doctor en Ciencias 1997, Colegio de Postgraduados, Montecillo, México, 150 pp.
16. Hoad C.L., Marciani L., Foley S., Totman J.J., Wright J., Bush D., Cox E.F., Gowland P.A. Non-invasive quantification of small bowel water content by MRI: a validation study. Physics in Medicine and Biology 2007, 52(23):6909-6922.
17. Imhoff P.T., Reinhart D.R., Englund M., Guerin R., Gawande N., Han B., Jonnalagadda S., Yazdani R. Review of state of the art methods for measuring water in landfills. Waste Management 2007, 27(6):729-745.
18. Kleppner D. The cat and the moon: chaos and high precision. American Journal of Physics 1997, 65(9):816-821.
19. Korvin G. Shale compaction and statistical physics. Geophysical Journal of the Royal Astronomical Society 1984, 78:35-50.
20. Korvin G. Fractal Models in the Earth Sciences 1992, Elsevier, Amsterdam.
21. Korvin G. Is the optical image of a non-Lambertian fractal surface fractal?. IEEE Geoscience and Remote Sensing Letters 2005, 2(4):380-382.
22. Kube P., Pentland A.P. On the imaging of fractal surfaces. IEEE Transactions on Pattern Analysis and Machine Intelligence 1988, 10(5):704-707.
23. Lawless C., Semenov M.A., Jamicson P.D. Quantifying the effect of uncertainty in soil moisture characteristics on plant growth using a crop simulation model. Field Crop Research 2008, 106(2):138-147.
24. Mace B.R., Worden K., Manson G. Uncertainty in structural dynamics. Journal of Sound and Vibration 2005, 288:423-429.
25. Mallat S. A Wavelet Tour of Signal Processing 1999, Academic Press, San Diego, USA, 637 pp.
26. Mandelbrot B.B. The Fractal Geometry of Nature 1983, W.H. Freeman and Co, New York, 468 pp.
27. Mandelbrot B.B. Gaussian Self-Affinity and Fractals 2002, Springer-Verlag, Berlin, 654 pp.
28. Maulud A., Wang D., Romagnoli J.A. A multi-scale orthogonal nonlinear strategy for multi-variate statistical process monitoring. Journal of Process Control 2006, 16:671-683.
29. Mecke K., Arns C.H. Fluids in porous media: a morphometric approach. Journal of Physics: Condensed Matter 2005, 17(9):S503-S534.
30. MINITAB for Windows, MAVV, Home, WIN 1221.03737 1998, MINITAB, http://www.minitab.com.
31. Neeb H., Zilles K., Shah N.J. A new method for fast quantitative mapping of absolute water content in vivo. Neuroimage 2006, 31(3):1156-1168.
32. Oleschko K., Figueroa B., Miranda M.E., Vuelvas M.A., Solleiro R.E. Mass fractal dimensions and some selected physical properties of contrasting soils and sediments of Mexico. Soil Tillage Research 2000, 55:43-61.
33. Oleschko K., Korvin G., Balankin A.S., Khachaturov R.V., Flores L., Figueroa B., Urrutia J., Brambila F. Fractal scattering of microwaves from soil. Physical Review Letters 2002, 89:188501.
34. Oleschko K., Korvin G., Figueroa B., Vuelvas M.A., Balankin A.S., Flores L., Carreon D. Fractal radar scattering from soil. Physical Review E 2003, 67:041403.
35. Oleschko K., Parrot J.-F., Korvin G., Esteves M., Vauclin M., Torres-Argüellas V., Salado C., Cherkasov S. Fractal Image Informatics: from SEM to DEM. Proceedings of 4th Intern. Conference: GIS in Geology and Geosciences. Vista of new approaches for the Geoinformatics. AIP, 109, 74-97 2008.
36. Pal S.K., Shankar B.U., Mitra P. Granular computing, rough entropy and object extraction. Pattern Recognition Letters 2005, 26:2509-2517.
37. Guide to using @Risk, version 4.5 2005, Palisade Corporation, 509 pp.
38. Parrot J.-F. Algoritmo Histo_Gene, LAFSINA, Instituto de Geología, Univ. Autónoma de Mexico, CU, México 2003.
39. Parrot J.-F. Algoritmo Freq_Hist, LAFSINA, Instituto de Geología, Univ. Autónoma de Mexico, CU, México 2004.
40. Pentland A.P. Fractal-based description of natural scenes. IEEE Trans. Pattern Anal. Mach. Intell. 1984, PAMI-6:661-674.
41. Pereira P., Pereira D., Alves M.A. Geomorphosite assessment in Montesinho Natural Park (Portugal). Geogr. Helv. 2007, 159-168.
42. Perrier E., Bird N., Rieu M. Generalizing the fractal model of soil structure: the pore-solid approach. Geoderma 1999, 88:137-164.
43. Rahman M.M., Moran M.S., Thoma D.P., Bryant R., Holifield Collins C.D., Tischler M. Mapping surface roughness and soil moisture using multi-angle radar imagery without ancillary data. Remote Sensing of Environment 2008, 112(2):391-402.
44. SCION Corp., n.y. BENOIT 1.3. http://www.scioncorp.com.
45. Seffens W. Order from chaos. Techsighting software. Science 1999, 285:1228.
46. Serra J. Image Analysis and Mathematical Morphology 1982, Academic Press, New York, 610 pp.
47. Statistical Package for the Social Sciences (SPSS), 13.0 for Windows, Copyright © SPSS Inc., 1989-2004.
48. Sulkava M., Luyssaert S., Rautio P., Janssens I.A., Holmen J. Ecological Informatics 2007, 2(2):167-176.
49. Topp G.S., Davis J.L., Annan A.P. Electromagnetic determination of soil water content: measurements in coaxial transmission lines. Water Resource Research 1980, 16:574-582.
50. Trusoft Intern. Inc., 2007. Benoit 1.3 Software.
51. Vasilieva E., Quetel C.R. Influence of the correction for moisture/water content on the quality of the certification of cadmium, copper and lead. Food Chemistry 2008, 106(4):1485-1490.
52. Verstraeten W.W., Veroustraette F., Heyns W., Roey T.V., Feyen J. On uncertainties in carbon flux modeling and data assimilation. Advances in Space Research 2008, 41(1):20-35.
53. Weisstein E.W. Statistical distribution. From MathWorld, A Wolfram Web. Resource 2008, http://mathworld.wolfram.com/Statistical Distribution.html.
54. Weisstein E.W. Binomial distribution. From MathWorld, A Wolfram Web. Resource 2008, http://mathworld.wolfram.com/BinomialDistribution.html.
55. Whiting M.L., Li L., Ustin S.L. Predicting water content using Gaussian model on soil spectra. Remote Sensing of Environment 2004, 89(4):535-552.
56. Worden K., Mansonat G., Lord T.M., Friswell M.I. Some observations on uncertainty propagation through a simple nonlinear system. Journal of Sound and Vibration 2005, 288(3):601-621.
57. Yoon Y., Kim J.-G., Hyun S. Estimating soil water retention in a selected range of soil pores using tension disc infiltrometer data. Soil & Tillage Research 2007, 97(1):107-116.
58. Zamora-Castro S.A., Oleschko K., Flores L., Ventura E., Parrot J.-F. Fractal mapping of pore and solid attributes. Vadose Zone Journal 2008, 7(2):473-492.