Fractal analyses of steady infiltration and terrain on an undulating agricultural field

Vadose Zone Journal

Volumn 8, Issue 2, 2009, Pages 310-320

  Green, Timothy R ^a   Dunn, Gale H ^a   Erskine, Robert H ^a   Salas, Jose D ^b   Ahuja, Lajpat R ^a  

^a AGRICULTURAL RESEARCH SERVICE   (United States)

^b Engineering Research Center and Hydraulics Laboratory   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARABLE LAND; CONSERVATION TILLAGE; FRACTAL ANALYSIS; HILLSLOPE; HYDRAULIC PROPERTY; INFILTRATION; LANDSCAPE STRUCTURE; POWER LAW; RUNOFF; SOIL NUTRIENT; SOIL WATER; SPATIAL ANALYSIS; TERRANE; VARIOGRAM; WATER USE; WHEAT;

COLORADO; NORTH AMERICA; UNITED STATES;

TRITICUM AESTIVUM;

EID: 67149122057     PISSN: None     EISSN: 15391663     Source Type: Journal    
DOI: 10.2136/vzj2008.0021     Document Type: Article

References (55)

1. Armstrong, M. 1984. Common problems seen in variograms. Math. Geol. 16:305-313.
2. Barton, C.C., and R.R. LaPointe. 1995. Fractals in petroleum geology and earth processes. Plenum Press, New York.
3. Beven, K.J., and N.J. Kirkby. 1979. A physically based variable contributing area model of basin hydrology. Hydrol. Sci. Bull. 24:43-69.
4. Bindlish, R., and A.P. Barros. 2002. Subpixel variability of remotely sensed soil moisture: An inter-comparison study of SAR and ESTAR. IEEE Trans. Geosci. Remote Sensing 40:326-337.
5. Blöschl, G. 1999. Scaling issues in snow hydrology. Hydrol. Processes 13:2149-2175.
6. Blöschl, G., and M. Sivapalan. 1995. Scale issues in hydrological modeling: A review. Hydrol. Processes 9:251-290.
7. Blöschl, G., M. Sivapalan, V. Gupta, K. Beven, and D. Lettenmaier. 1997. Preface to the special section on scale problems in hydrology. Water Resour. Res. 33:2881.
8. Burrough, P.A. 1981. Fractal dimensions of landscape and other environmental data. Nature 294:240-242.
9. Burrough, P.A. 1983. Multiscale sources of spatial variation in soil: I. The application of fractal concepts to nested levels of soil variation. J. Soil Sci. 34:599-620.
10. Chiu, C.L. 1972. Stochastic methods in hydraulics and hydrology of streamflow. Geophys. Surv. 1:61-84.
11. Cosh, M.H., and W. Brutsaert. 1999. Aspects of soil moisture variability in the Washita '92 study region. J. Geophys. Res. Atmos. 104:19751-19757.
12. D'Odorico, P., and I. Rodriguez-Iturbe. 2000. Space-time self-organization of mesoscale rainfall and soil moisture. Adv. Water Resour. 23:349-357.
13. Green, T.R., and R.H. Erskine. 2004. Measurement, scaling, and topographic analyses of spatial crop yield and soil water content. Hydrol. Processes 18:1447-1465.
14. Gupta, V.K., and E.C. Waymire. 1993. A statistical analysis of mesoscale rainfall as a random cascade. J. Appl. Meteorol. 32:251-267.
15. Hu, Z.L., Y.Z. Chen, and S. Islam. 1998. Multiscaling properties of soil moisture images and decomposition of large- and small-scale features using wavelet transforms. Int. J. Remote Sens. 19:2451-2467.
16. Hu, Z.L., S. Islam, and Y.Z. Cheng. 1997. Statistical characterization of remotely sensed soil moisture images. Remote Sens. Environ. 61:310-318. Hurst, H. 1951. Long-term storage capacity of reservoirs. Trans. Am. Soc. Civ. Eng. 116:770-799.
17. Jacques, D., B.P. Mohanty, and J. Feyen. 2002. Comparison of alternative methods for deriving hydraulic properties and scaling factors from singledisc tension infiltrometer measurements. Water Resour. Res. 38(7):1120, doi:10.1029/2001WR000595.
18. Koirala, S.R., E. Perfect, R.W. Gentry, and J.W. Kim. 2008. Effective saturated hydraulic conductivity of two-dimensional random multifractal fields. Water Resour. Res. 44:W08410, doi:10.1029/2007WR006199.
19. Kravchenko, A.N., C.W. Boast, and D.G. Bullock. 1999. Multifractal analysis of soil spatial variability. Agron. J. 91:1033-1041.
20. Kravchenko, A.N., D.G. Bullock, and C.W. Boast. 2000. Joint multifractal analysis of crop yield and terrain slope. Agron. J. 92:1279-1290.
21. Lavallée, D., S. Lovejoy, D. Schertzer, and P. Ladoy. 1993. Nonlinear variability of landscape topography: Multifractal analysis and simulation. p. 158-192. In L. De Cola and N.S.-N. Lam (ed.) Fractals in geography. Prentice-Hall, Englewood Cliffs, NJ.
22. Liu, H.H., and F.J. Molz. 1997. Multifractal analyses of hydraulic conductivity distributions. Water Resour. Res. 33:2483-2488.
23. Mallants, D., B.P. Mohanty, A. Vervoort, and J. Feyen. 1997. Spatial analysis of saturated hydraulic conductivity in a soil with macropores. Soil Technol. 10:115-131.
24. Mandelbrot, B. 1977. Fractals: Form, chance, and dimension. W.H. Freeman & Co., San Francisco.
25. Mapa, R.B., R.E. Green, and L. Santo. 1986. Temporal variability of soil hydraulic properties with wetting and drying subsequent to tillage. Soil Sci. Soc. Am. J. 50:1133-1138.
26. McCutcheon, S.C., J.L. Martin, and T.O. Barnwell. 1992. Water quality. p. 11.2-11.8. In D.R. Maidment (ed.) Handbook of hydrology. McGraw- Hill, New York.
27. Meng, H., T.R. Green, J.D. Salas, and L.R. Ahuja. 2008. Development and testing of a terrain-based hydrologic model for spatial Hortonian infiltration and run-off/on. Environ. Modell. Software 23:794-812.
28. Meng, H., J.D. Salas, T.R. Green, and L.R. Ahuja. 2006. Scaling analysis of space-time infiltration based on the universal multifractal model. J. Hydrol. 322:220-235.
29. Mohanty, B.P., M.D. Ankeny, R. Horton, and R.S. Kanwar. 1994. Spatial analysis of hydraulic conductivity measured using disc infiltrometers. Water Resour. Res. 30:2489-2498.
30. Mohanty, B.P., R. Horton, and M.D. Ankeny. 1996. Infiltration and macroporosity under a row crop agricultural field in a glacial till soil. Soil Sci. 161:205-213.
31. Mohanty, B.P., and Z. Mousli. 2000. Saturated hydraulic conductivity and soil water retention properties across a soil-slope transition. Water Resour. Res. 36:3311-3324.
32. Mohanty, B.P., and J.T. Zhu. 2007. Effective hydraulic parameters in horizontally and vertically heterogeneous soils for steady-state land-atmosphere interaction. J. Hydrometeorol. 8:715-729.
33. Mukul, M., D. Roy, S. Satpathy, and V.A. Kumar. 2004. Bootstrapped spatial statistics: A more robust approach to the analysis of finite strain data. J. Struct. Geol. 26:595-600.
34. Oldak, A., Y. Pachepsky, T.J. Jackson, and W.J. Rawls. 2002. Statistical properties of soil moisture images revisited. J. Hydrol. 255:12-24.
35. Pelletier, J.D., B.D. Malamud, T. Blodgett, and D.L. Turcotte. 1997. Scale-invariance of soil moisture variability and its implications for the frequency- size distribution of landslides. Eng. Geol. 48:255-268.
36. Peters-Lidard, C.D., F. Pan, and E.F. Wood. 2001. A re-examination of modeled and measured soil moisture spatial variability and its implications for land surface modeling. Adv. Water Resour. 24:1069-1083.
37. Reynolds, W.D., D.E. Elrick, and E.G. Youngs. 2002. Ring or cylinder infiltrometers (vadose zone). p. 818-843. In J.H. Dane and G.C. Topp (ed.) Methods of soil analysis. Part 4. Physical methods. SSSA Book Ser. 5. SSSA, Madison, WI.
38. Rodriguez-Iturbe, I., P. D'Odorico, and A. Rinaldo. 1998. Possible self-organizing dynamics for land-atmosphere interaction. J. Geophys. Res. Atmos. 103:23071-23077.
39. Rodriguez-Iturbe, I., G.K. Vogel, R. Rigon, D. Entekhabi, F. Castelli, and A. Rinaldo. 1995. On the spatial organization of soil moisture fields. Geophys. Res. Lett. 22:2757-2760.
40. Salas, J.D., D.C. Boes, V. Yevjevich, and G.G.S. Pegram. 1979. Hurst phenomenon as a pre-asymptotic behavior. J. Hydrol. 44:1-15.
41. Schmitt, F., S. Lovejoy, and D. Schertzer. 1995. Multifractal analysis of the Greenland ice-core project climate data. Geophys. Res. Lett. 22:1689-1692.
42. Shouse, P.J., and B.P. Mohanty. 1998. Scaling of near-saturated hydraulic conductivity measured using disc infiltrometers. Water Resour. Res. 34:1195-1205.
43. Sposito, G. 1995. Recent advances associated with soil water in the unsaturated zone. Rev. Geophys. 33:1059-1065.
44. Starr, G.C. 2005. Assessing temporal stability and spatial variability of soil water patterns with implications for precision water management. Agric. Water Manage. 72:223-243.
45. Tarboton, D.G. 1997. A new method for the determination of flow directions and upslope areas in grid digital elevation models. Water Resour. Res. 33:309-319.
46. Tarboton, D.G. 2000. TARDEM: A suite of programs for the analysis of digital elevation data. Release 5 May 2000. Available at www.neng.usu.edu/cee/ faculty/ dtarb/tardem.html (verified 3 Jan. 2009). Utah State Univ., Logan.
47. Western, A.W., and G. Blöschl. 1999. On the spatial scaling of soil moisture. J. Hydrol. 217:203-224.
48. Western, A.W., R.B. Grayson, G. Blöschl, G.R. Willgoose, and T.A. McMahon. 1999. Observed spatial organization of soil moisture and its relation to terrain indices. Water Resour. Res. 35:797-810.
49. Wood, E.F. 1995. Scaling behaviour of hydrological fluxes and variables: Empirical studies using a hydrological model and remote sensing data. p. 89-104. In J. Kalma and M. Sivapalan (ed.) Scale issues in hydrological modelling. John Wiley & Sons, Chichester, UK.
50. Woods, R.A., and M. Sivapalan. 1997. A connection between topographically driven runoff generation and channel network structure. Water Resour. Res. 33:2939-2950.
51. Zeleke, T.B., and B.C. Si. 2004. Scaling properties of topographic indices and crop yield: Multifractal and joint multifractal approaches. Agron. J. 96:1082-1090.
52. Zeleke, T.B., and B.C. Si. 2005. Scaling relationships between saturated hydraulic conductivity and soil physical properties. Soil Sci. Soc. Am. J. 69:1691-1702.
53. Zeleke, T.B., and B.C. Si. 2006. Characterizing scale-dependent spatial relationships between soil properties using multifractal techniques. Geoderma 134:440-452.
54. Zhu, J.T., and B.P. Mohanty. 2002. Upscaling of soil hydraulic properties for steady state evaporation and infiltration. Water Resour. Res. 38(9):1178, doi:10.1029/2001WR000704.
55. Zhu, J.T., and B.P. Mohanty. 2006. Effective scaling factor for transient infiltration in heterogeneous soils. J. Hydrol. 319:96-108.