A multifractal approach to characterize cumulative rainfall and tillage effects on soil surface micro-topography and to predict depression storage

Biogeosciences

Volumn 7, Issue 10, 2010, Pages 2989-3004

  Vázquez, E Vidal ^a   Miranda, J G V ^b   Paz Ferreiro, J ^c  

^a UNIVERSITY OF A CORUÑA   (Spain)

^b FEDERAL UNIVERSITY OF BAHIA   (Brazil)

^c Centro de Investigacions Agrarias de Mabegondo   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHM; DATA SET; MICROTOPOGRAPHY; OXISOL; PLOWING; RAINFALL; ROUGHNESS; SAMPLING; SOIL SURFACE; SPATIAL ANALYSIS; TILLAGE; WATER STORAGE;

BRAZIL; CAMPINAS; SAO PAULO [BRAZIL];

EID: 77957733252     PISSN: 17264170     EISSN: 17264189     Source Type: Journal    
DOI: 10.5194/bg-7-2989-2010     Document Type: Article

References (45)

1. Allmaras, R. R., Burwell, R. E., Larson, W. E., and Holt, R. F.: Total porosity and random roughness of the interrow zone as influenced by tillage, USA Conserv. Res. Rep., 7, 1-14, 1966.
2. Antoine, M., Javaux, M., and Bielders, C.: What indicators can capture runoff-relevant connectivity properties of the microtopography at the plot scale?, Adv. Water Resour., 32, 1297-1310, 2009.
3. Cheng, Q.: Multifractality and spatial statistics, Comput. Geosci., 25, 949-961, 1999.
4. Chhabra, A. B. and Jensen, R. V.: Direct determination of the f (α) singularity spectrum, Phys. Rev. Lett., 62, 1327-1330, 1989.
5. Chhabra, A. B., Meneveau, C., Jensen, R. V., and Sreenivassen, K. R.: Direct determination of the f (α) singularity spectrum and its application to fully developed turbulence, Phys. Rev. A, 40, 5284-5294, 1989.
6. Currence, H. D. and Lovely, W. G.: The analysis of soil surface roughness, T. Am. Soc. Agr. Eng., 13, 710-714, 1970.
7. Darboux, F. and Huang, C. H.: Does soil surface roughness increase or decrease water and particle transfer?, Soil Sci. Soc. Am. J., 69, 748-756, 2005.
8. Eltz, F. L. F. and Norton, L. D.: Surface roughness changes as affected by rainfall erosivity, tillage, and canopy cover, Soil Sci. Soc. Am. J., 61, 1746-1755, 1997.
9. Everstz, C. J. G. and Mandelbrot, B. B.: Multifractal measures, in: Chaos and Fractals, edited by: Peitgen, H., Jürgens, H., and Saupe, D., Springer, Berlin, 921-953, 1992.
10. Feder, J.: Fractals, Plenum press, New York, 1988.
11. García Moreno, R., Díaz Álvarez, M. C., Saa Requejo, A., and Tarquis Alfonso, A. M.: Multifractal analysis of soil surface roughness, Vadose Zone J., 7, 512-520, 2008a.
12. García Moreno, R., Saa Requejo, A., Tarquis Alonso, A. M., Barrington, S., and Díaz, M. C.: Shadow analysis: a method for measuring soil surface roughness, Geoderma, 146, 201-208, 2008b.
13. Gómez, J. A. and Nearing, M. A.: Runoff and sediment losses from rough and smooth soil surfaces in a laboratory experiment, Catena, 59, 253-266, 2005.
14. Govers, G., Takken, I., and Helming, K.: Soil roughness and overland flow, Agronomie, 20, 131-146, 2000.
15. Grassberger, P. and Procaccia, I.: Characterization of strange attractors, Phys. Rev. Lett., 50, 346-349, 1983.
16. Hairsine, P. B., Moran, C. J., and Rose, C.W.: Recent developments regarding the influence of soil surface characteristics on overland flow and erosion, Aust. J. Soil. Res., 30, 249-264, 1992.
17. Halsey, T. C., Jensen, M. H., Kanadoff, L. P., Procaccia, I., and Shraiman, B. I.: Fractal measures and their singularities: The characterization of strange sets, Phys. Rev. A, 33, 1141-1151, 1986.
18. Hansen, B., Schönning, P., and Sibbesen, E.: Roughness indices for estimation of depression storage capacity of tilled soil surfaces, Soil Till. Res., 52, 103-111, 1999.
19. Helming, K., Römkens, M. J. M., and Prasad, S. N. Surface roughness related processes of runoff and soil loss: a flume study, Soil Sci. Soc. Am. J., 62, 243-250, 1998.
20. Huang, C. and Bradford J. M.: Depressional storage for Markov- Gaussian surfaces, Water Resour. Res., 26, 2235-2242, 1990.
21. Huang, C. and Bradford, J. M.: Applications of a laser scanner to quantify soil microtopography, Soil Sci. Soc. Am. J., 56, 14-21, 1992.
22. Huang, C.: Quantification of soil microtopography and surface roughness. in: Fractals in Soil Science, edited by: Baveye, P., Parlange, J. Y., and Stewart, B. A., 377 pp., 1998.
23. Kamphorst, E. C., Jetten, V., Guerif, J., Pitkanen, J., Iversen, B. V., Douglas, J. T., and Paz, A.: How to predict maximum water storage in depressions from soil roughness measurements, Soil Sci. Soc. Am. J., 64, 1749-1758, 2000.
24. Kamphorst, E. C. and Duval, Y.: Validation of a numerical method to quantify depression storage by direct measurements on moulded surfaces, Catena, 43, 1-14, 2001.
25. Korvin, G.: Fractals models in the Earth Sciences, Elsevier, Amsterdam, 1992.
26. Kravchenko, A. N., Boast, C. W., and Bullock, D. G.: Multifractal analysis of soil spatial variability, Agron. J., 91, 1033-1041, 1999.
27. Linden, D. R. and Van Doren, D. M.: Parameters for characterizing tillage induced soil surface roughness, Soil Sci. Soc. Am. J., 50, 1560-1565, 1986.
28. Lovejoy, S. and Schertzer, D.: Scaling and multifractal fields in the solid earth and topography, Nonlin. Processes Geophys., 14, 465-502, doi:10.5194/npg-14-465-2007, 2007.
29. Merril, S. D., Huang, C., Zobeck, T. M., and Tanaka, D. L.: Use of the chain set for scale-sensitive and erosion-relevant measurements of soil surface roughness, in: Sustaining the Global Farma, edited by: Statt, D. E., Mothar, R. H., and Steinhardt, D. C., 594-600 pp., 2001.
30. Moore, D. C. and Larson, C. L.: Estimating micro-relief surface storage from point data, T. Am. Soc. Agr. Eng., 20, 1073-1077, 1979.
31. Moreno, R., Díaz Álvarez, M. C., Tarquis Alfonso, A. M., Barrington, S., and Saa Requejo, A.: Tillage and soil type effects on soil surface roughness at semiarid climatic conditions, Soil Till. Res., 98, 35-44, 2008.
32. Oliveira, J. B., Menk, J. R. F., and Rotta, C. L.: Levantamento pedológico semidetalhado dos solos do Estado de São Paulo: Quadrícula de Campinas, Rio de Janeiro, IBGE (Brazilian Institute of Geography and Statistics), 169 pp. 1989.
33. Onstad, C. A.: Depressional storage on tilled soil surfaces, T. Am. Soc. Agr. Eng., 27, 729-732, 1984.
34. Paz-Ferreiro, J., Bertol, I., and Vidal Vázquez, E.: Quantification of tillage, plant cover, and cumulative rainfall effects on soil surface microrelief by statistical, geostatistical and fractal indices, Nonlin. Processes Geophys., 15, 575-590, doi:10.5194/npg-15- 575-2008, 2008.
35. Rényi, A. on new axiomatic theory of probability, Acta Math. Hung., 6, 285-335, 1955.
36. Römkens, M. J. M. and Wang, J. Y.: Effect of tillage on surface roughness, T. Am. Soc. Agr. Eng., 29, 429-433, 1986.
37. Soil Survey Staff Classification: Key to soil taxonomy, Tenth Edition, Washington, DC, 341 pp., 2006.
38. Ullah, W. and Dickinson, W. T.: Quantitative description of depressional storage using digital surface model: I and II, J. Hydrol., 42, 63-90, 1979.
39. Vidal Vázquez, E., Paz González, A., and Vivas Miranda, J. G. V.: Characterizing isotropy and heterogeneity of soil surface microtopography using fractal models, Ecol. Model., 182, 337-353, 2005.
40. Vidal Vázquez, E., Miranda, J. G. V., Alves, M. C., and Paz González, A.: Effect of tillage on fractal indices describing soil surface microrelief of a Brazilian Alfisol, Geoderma, 134, 428-439, 2006.
41. Vidal Vázquez, E., Miranda, J. G. V., and Paz González, A.: Describing soil surface microrelief by crossover length and fractal dimension, Nonlin. Processes Geophys., 14, 223-235, doi:10.5194/npg-14-223-2007, 2007.
42. Vidal Vázquez, E., García Moreno, R., Miranda, J. G. V., Díaz, M. C., Saá Requejo, A., Paz Ferreiro, J., and Tarquis, A. M.: Assessing soil surface roughness decay during simulated rainfall by multifractal analysis, Nonlin. Processes Geophys., 15, 457-468, doi:10.5194/npg-15-457-2008, 2008.
43. Wagner, L. E. and Yiming, Y.: Digitization of profile meter photographs, T. Am. Soc. Agr. Eng., 34, 412-416, 1991.
44. Wagner, W. S.: Mapping a three-dimensional soil surface with handheld 35mm photography, Soil Till. Res., 34, 187-197, 1995.
45. Zobeck, T. M. and Onstad, C. A.: Tillage and rainfall effects on random roughness: a review, Soil Till. Res., 9, 1-20, 1987.