Influence of image resolution and thresholding on the apparent mass fractal characteristics of preferential flow patterns in field soils

Water Resources Research

Volumn 34, Issue 11, 1998, Pages 2783-2796

  Baveye, Philippe ^a   Boast, Charles W ^a,b   Ogawa, Susumu ^a   Parlange, Jean Yves ^a   Steenhuis, Tammo ^a  

^a Cornell University ^*  (United States)

^b UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FLOW PATTERN; FRACTAL ANALYSIS; IMAGE RESOLUTION; LIMIT ANALYSIS; PREFERENTIAL FLOW; SOIL WATER;

BINARY IMAGES; FLOW PATTERNS; FRACTALS; GROUNDWATER FLOW; IMAGE ANALYSIS; IMAGE RESOLUTION; PIXELS; SOILS;

CONTAMINANT TRANSPORT; HIGHER RESOLUTION; MASS FRACTAL DIMENSION; PREFERENTIAL FLOWS; STATISTICAL SIGNIFICANCE; SURFACE FRACTAL DIMENSIONS; THEORETICAL FRAMEWORK; THRESHOLDING ALGORITHMS;

FRACTAL DIMENSION;

EID: 0031760721     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/98WR01209     Document Type: Article

References (46)

1. Aguilar, J., J. Fernández, E. Ortega, S. de Haro, and T. Rodríguez, Micromorphological characteristics of soils producing olives under nonploughing compared with traditional tillage methods, in Soil Micromorphology: A Basic and Applied Science, edited by L. A. Douglas, pp. 25-32, Elsevier, New York, 1990.
2. Anderson, A. N., A. B. McBratney, and E. A. FitzPatrick, Soil mass, surface and spectral fractal dimensions estimated from thin section photographs, Soil Sci. Soc. Am. J., 60, 962-969, 1996.
3. Bartoli, F., R. Philippy, M. Doirisse, S. Niquet, and M. Dubuit, Structure and self-similarity in silty and sandy soils: The fractal approach, J. Soil Sci., 42, 167-185, 1991.
4. Baveye, P., and C. W. Boast, Fractal geometry, fragmentation processes and the physics of scale-invariance: An introduction, in Fractals in Soil Science, edited by P. Baveye, J.-Y. Parlange, and B. A. Stewart, pp. 1-54, CRC Press, Boca Raton, Fla., 1998.
5. Benson, B. J., and M. D. MacKenzie, Effects of sensor spatial distribution on landscape structure parameters, Landscape Ecol., 10, 113-120, 1995.
6. Beven, K., Modelling preferential flow, in Preferential Flow: Proceedings of a National Symposium, edited by T. J. Gish and A. Shirmohammadi, p. 1, pp. 1-11, Am. Soc. of Agric. Eng., St. Joseph, Minn., 1991.
7. Bouma, J., and L. W. Dekker, A case study on infiltration into dry clay soil, I, Morphological observations, Geoderma, 20, 27-40, 1978.
8. Chiang, W.-L., J. W. Biggar, and D. Nielsen, Fractal description of wetting front instability in layered soils, Water Resour. Res., 30, 125-132, 1994.
9. Crawford, J. W., K. Ritz, and I. M. Young, Quantification of fungal morphology, gaseous transport and microbial dynamics in soil: An integrated framework utilizing fractal geometry, Geoderma, 56, 157-172, 1993a.
10. Crawford, J. W., B. D. Sleeman, and I. M. Young, On the relation between number-size distributions and the fractal dimension of aggregates, J. Soil Sci., 44, 555-565, 1993b.
11. De Cola, L., and N. Siu-Ngan Lam, Introduction to fractals in geography, in Fractals in Geography, edited by N. Siu-Ngan Lam and L. De Cola, pp. 3-22, Prentice-Hall, Englewood Cliffs, N. J., 1993.
12. Dubuc, B., and S. Dubuc, Error bounds on the estimation of fractal dimension, SIAM J. Numer. Anal., 33, 602-626, 1996.
13. Falconer, K. J., Fractal Geometry: Mathematical Foundations and Applications, John Wiley, New York, 1990.
14. Feder, J., Fractals, Plenum, New York, 1988.
15. Flury, M., and H. Flühler, Tracer characteristics of Brilliant Blue FCF, Soil Sci. Soc. Am. J., 59, 22-27, 1995.
16. Flury, M., H. Flühler, W. A. Jury, and J. Leuenberger, Susceptibility of soils to preferential flow of water: A field study. Water Resour. Res., 30, 1945-1954, 1994.
17. Germann, P. F., and K. Beven, Water flow in soil macropores, I, An experimental approach, J. Soil Sci., 32, 1-13, 1981.
18. Ghodrati, M., and W. A. Jury, A field study using dyes to characterize preferential flow of water, Soil Sci. Soc. Am. J., 54, 1558-1563, 1990.
19. Glasbey, C. A., and G. W. Horgan, Image Analysis for the Biological Sciences, John Wiley, New York, 1995.
20. Grevers, M. C. J., E. De Jong, and R. J. St. Arnaud, The characterization of soil macroporosity with CT scanning, Can. J. Soil Sci., 69, 629-637, 1989.
21. Hatano, R., and H. W. G. Booltink, Using fractal dimensions of stained flow patterns in a clay soil to predict bypass flow, J. Hydrol., 135, 121-131, 1992.
22. Hatano, R., T. Sakuma, and H. Okajima, Observations on macropores stained by methylene blue in a variety of field soils (in Japanese), Nippon Dajo Hiryogaku Zasshi, 54, 490-498, 1983.
23. Hatano, R., N. Kawamura, J. Ikeda, and T. Sauma, Evaluation of the effect of morphological features of flow paths on solute transport by using fractal dimensions of methylene blue staining pattern, Geoderma, 53, 31-44, 1992.
24. Helling, C. S., and T. J. Gish, Physical and chemical processes affecting preferential flow, in Preferential Flow, Proceedings of a National Symposium, edited by T. J. Gish and A. Shirmohammadi, pp. 77-86, Am. Soc. of Agric. Eng., St. Joseph, Minn., 1991.
25. Korvin, G., Fractal Models in the Earth Sciences, Elsevier, New York, 1992.
26. Kung, K.-J. S., Preferential flow in a sandy vadose soil, 1, Field observations, Geoderma, 46, 51-58, 1990.
27. Liebovitch, L. S., and T. Toth, A fast algorithm to determine fractal dimensions by box counting, Phys. Lett. A, 141, 386-390, 1989.
28. Mandel, J., The Statistical Analysis of Experimental Data, Dover, Mineola, N. Y., 1964.
29. Mandelbrot, B. P., The Fractal Geometry of Nature, W. H. Freeman, New York, 1982.
30. McCoy, E. L., C. W. Boast, R. C. Stehouwer, and E. J. Kladivko, Macropore hydraulics: Taking a sledgehammer to classical theory, in Soil Processes and Water Quality, edited by R. Lal and B. A. Stewart, pp. 303-348, CRC Press, Boca Raton, Fla., 1994.
31. Merwin, I. A., and W. C. Stiles, Orchard groundcover management impacts on apple tree growth and yield, and nutrient availability and uptake, J. Amer. Soc. Hortic. Sci., 119, 209-215, 1994.
32. Moore, C. A., and C. F. Donaldson, Quantifying soil microstructure using fractals, Géotechnique, 45, 105-116, 1995.
33. Natsch, A., C. Keel, J. Troxler, M. Zala, N. Von Albertini, and G. Défago, Importance of preferential flow and soil management in vertical transport of a biocontrol strain of Pseudomonas fluorescens in structured field soil, Appl. Environ. Microbiol., 62, 33-40, 1996.
34. Ogawa, S., P. Baveye, C. W. Boast, J.-Y. Parlange, and T. S. Steenhuis, Surface fractal characteristics of preferential flow patterns in field soils: Evaluation and effect of image processing, Geoderma, in press, 1998.
35. Parlange, J.-Y., T. S. Steenhuis, R. J. Glass, T. R. Richard, N. B. Pickering, W. J. Waltman, N. O. Bailey, M. S. Andreini, and J. A. Throop, The flow of pesticides through preferential paths in soils, Food and Life Science Quarterly, 18, 20-23, 1988.
36. Perillo, C. A., S. C. Gupta, E. A. Nater, and J. F. Moncrief, Flow velocity effects on the retardation of FD&C Blue no. 1 food dye in soil. Soil Sci. Soc. Am. J., 62, 39-45, 1998.
37. Peyton, R. L., C. J. Gantzer, S. H. Anderson, B. A. Haeffner, and P. Pfeifer, Fractal dimension to describe soil macropore structure using X-ray computed tomography. Water Resour. Res., 30, 691-700, 1994.
38. Quisenberry, V. L., and R. E. Phillips, Displacement of soil water by simulated rainfall, Soil Sci. Soc. Am. J., 42, 675-679, 1978.
39. Radulovich, R., and P. Sollins, Improved performance of zero-tension lysimeters, Soil Sci. Soc. Am. J., 51, 1386-1388, 1987.
40. Radulovich, R., P. Sollins, P. Baveye, and E. Solorzano, Bypass water flow through unsaturated microaggregated tropical soils. Soil Sci. Soc. Am. J., 56, 721-726, 1992.
41. Rasiah, V., E. Perfect, and B. D. Kay, Linear and nonlinear estimates of fractal dimension for soil aggregate fragmentation, Soil Sci. Soc. Am. J., 59, 83-87, 1995.
42. Reeve, R., A warning about standard errors when estimating the fractal dimension, Comput. Geosci., 18, 89-91, 1992.
43. Sollins, P., and R. Radulovich, Effects of soil physical structure on solute transport in a weathered tropical soil, Soil Sci. Soc. Am. J., 52, 1168-1173, 1988.
44. Sposito, G., W. A. Jury, and V. K. Gupta, Fundamental problems in the stochastic convection-dispersion model of solute transport in aquifers and field soils, Water Resour. Res., 22, 77-88, 1986.
45. Steenhuis, T. S., J.-Y. Parlange, and S. A. Aburime, Preferential flow in structured and sandy soils: Consequences for modeling and monitoring, in Handbook of Vadose Zone Characterization and Monitoring, edited by L. G. Wilson, L. G. Everett, and S. J. Cullen, pp. 61-77, CRC Press, Boca Raton, 1995.
46. Vecchio, F. A., G. Armbruster, and D. J. Lisk, Quality characteristics of New Yorker and Heinz 1350 tomatoes grown in soil amended with a municipal sewage sludge, J. Agric. Food Chem., 32, 364-368, 1984.