Nonlinear spatial series analysis from unidirectional transects of soil physical properties

Catena

Volumn 77, Issue 1, 2009, Pages 56-64

  Millan H ^a   Garcia Fornaris I ^a   Gonzalez Posada M ^a  

^a University of Granma   (Cuba)

Author keywords

Chaos theory; Electrical conductivity; Soil water content; Soils

Indexed keywords

ELECTRICAL CONDUCTIVITY; SOIL PROPERTY; SOIL WATER; SPATIAL ANALYSIS; SPATIAL VARIATION; WATER CONTENT;

EID: 60249101786     PISSN: 03418162     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.catena.2008.12.009     Document Type: Article

References (53)

1. Abarbanel H.D. Analysis of Observed Chaotic Data (1996), Springer-Verlag, New York, N.Y
2. Benko T.P., and Perc M. Deterministic chaos in sounds of Asian cicadas. J. Biol. Systems. 14 (2006) 555-566
3. Bouma J., and Hoosbeck M.R. The contribution and importance of soil scientists in interdisciplinary studies dealing with land. In: Wagenet R.J., and Bouma J. (Eds). The Role of Soil Science in Interdisciplinary Research. SSSA Special publication No. 45 (1996), Soil Science Society of America, Madison, Wisconsin
4. Bruce R.C., and Rayment G.E. Analytical methods and interpretations used by the Agricultural Chemistry Branch for soil and land use surveys. Queensland Department of Primary Industries Bulletin, QB82004 (1982), Queensland, Australia
5. Chakraborty D., and Roy T.K. Generation and prediction of self-similar processes by surrogates. Fractals 14 (2006) 17-26
6. Chaudhuri S. Predictability of chaos inherent in the occurrence of severe thunderstorms. Adv. Complex Systems 9 (2006) 77-85
7. Ciollaro G., and Romano N. Spatial variability of the hydraulic properties of a volcanic soil. Geoderma 65 (1995) 263-282
8. Culling W.E.H. Dimension and entropy in the soil-covered landscape. Earth Surf. Process. Landf. 13 (1988) 619-648
9. Eckmann J.P., Kamphorst S.O., and Ruelle D. Recurrence plots of dynamical systems. Europhys. Lett. 4 (1987) 973-977
10. Fraser A.M., and Swinney H.L. Independent coordinates for strange attractors from mutual information. Phys. Rev., A 33 (1986) 1134-1140
11. Frederickson P., Kaplan J.L., Yorke E.D., and Yorke J.A. The Lyapunov dimension of strange attractors. J. Differ. Equ. 49 (1983) 185-207
12. Hegger R., Kantz H., and Schreiber T. Practical implementation of nonlinear time series methods: the TISEAN package. Chaos 9 (1999) 413-440
13. Hoosbeck M.R., and Bryant R.B. Towards the quantitative modeling of pedogenesis-a review. Geoderma 55 (1992) 183-210
14. Kantz H. A robust method to estimate the maximal Lyapunov exponent of a time series. Phys. Lett., A. 185 (1994) 77-87
15. Kantz H., and Schriber T. Nonlinear Time Series Analysis (2003), Cambridge University Press, Cambridge
16. Kaplan J., and Yorke J. Chaotic behavior of multidimensional difference equations. In: Peitgen H.O., and Walther H.O. (Eds). Functional Differential Equations and Approximation of Fixed Points (1987), Springer, New York, NY
17. Kaplan D.T., and Glass L. Direct test for determinism in a time series. Phys. Rev. Lett. 68 (1992) 427-430
18. Kemblowski M.W., and Chang C.-M. Infiltration in soils with fractal permeability distribution. Groundwater 31 (1993) 187-192
19. Kennel M.B., Brown R., and Abarbanel H.D.I. Determining embedding dimension for phase space reconstruction using a geometrical construction. Phys. Rev., A 45 (1993) 3403-3411
20. Kodba S., Perc M., and Marhl M. Detecting chaos from a time series. Eur. J. Phys. 26 (2005) 205-215
21. Lorenz E.N. Deterministic nonperiodic flow. J. Atmos. Sci. 20 (1963) 130-141
22. Maxwell R.M., Chow F.K., and Kollet S.J. The groundwater-land-surface-atmosphere connection: Soil moisture effects on the atmospheric boundary layer in fully-coupled simulations. Adv. Water Resour. 30 (2007) 2447-2466
23. McNeill J.D. Geonics EM-38 ground conductivity meter. Technical Note TN-21 (1986), Geonics Ltd., Canada
24. Ohmiya K. Fractal dimensions of terrain profiles. J. Terramech. 28 (1991) 155-165
25. Oono Y. A heuristic approach to the Kolmogorov entropy as a disorder parameter. Prog. Theor. Phys. 60 (1978) 1944-1946
26. Ott E., Sauer T., and Yorke J.A. Coping with Chaos (1994), Wiley, New York, NY
27. Pan J., and Lu Z. Fractal dimensions of soil strengths for paddy fields in China. J. Terramech. 31 (1994) 1-9
28. Perc M. Nonlinear time series analysis of the human electrocardiogram. Eur. J. Phys. 26 (2005) 757-768
29. Perc M. User friendly programs for nonlinear time series analysis, version 5 (2005). http://fizika.uni-mb.si/~matjaz/ejp/time.html http://fizika.uni-mb.si/∼matjaz/ejp/time.html
30. Perfect E., and Kay B.D. Applications of fractals in soil and tillage research: a review. Soil Tillage Res. 36 (1995) 1-20
31. Perfect E., and Caron J. Spectral analysis of tillage-induced differences in soil spatial variability. Soil Sci. Soc. Am. J. 66 (2002) 1587-1595
32. Phillips J.D. On the relation between complex systems and the factorial model of soil formation (with discussion). Geoderma 86 (1998) 1-42
33. Phillips J.D. Sources of nonlinearity and complexity in geomorphic systems. Prog. Phys. Geog. 26 (2002) 339-361
34. Phillips J.D. Deterministic chaos and historical geomorphology: a review and look forward. Geomorphology 76 (2006) 109-121
35. Phillips J.D. Soil system modelling and generation of field hypotheses. Geoderma 145 (2008) 419-425
36. Pike R.J., and Rozema W.J. Spectral analysis of landforms. Ann. Assoc. Am. Geogr. 65 (1975) 499-516
37. Pikovsky A., Rosemblum M., and Kurths J. Synchronization, A Universal Concept in Nonlinear Science (2001), Cambridge University Press, UK
38. Rhoades J.D. Measuring, mapping and monitoring field salinity and water table depths with soil resistance measurements. Prognosis of Salinity and Alkalinity (1977), FAO, Rome
39. Sano M., and Sawada Y. Measurement of the Lyapunov spectrum from a chaotic time series. Phys. Rev. Lett. 55 (1985) 1082
40. Schreiber T., and Schmitz A. Improved surrogate data for nonlinearity tests. Phys. Rev. Lett. 77 (1996) 635-640
41. Sivakumar B., Liong S.Y., Liaw C.Y., and Phoon K.K. Singapore rainfall behavior: chaotic?. J. Hydrol. Eng. 4 (1999) 38-48 (ASCE)
42. Slavich P.G. Determining ECa-depth profiles from electromagnetic induction measurements. Aust. J. Soil Res. 28 (1990) 443-452
43. Soil Survey Staff. Soil taxonomy. A basic system for making and interpreting soil surveys. 2nd edition. Agricultural Handbook vol. 436 (1999), USDA-NRCS, Washington DC 869 pp.
44. Sprot J.C. Maximally complex simple attractors. Chaos 17 (2007) 1-6 (033124)
45. Sprott J.C. Chaos and Time Series Analysis (2003), Oxford University Press, Oxford
46. Takens F. Detecting strange attractors in turbulence. Lecture Notes in Mathematics vol. 898 (1981), Springer, New York, NY
47. Theiler J., Eubank S., Longtin A., Galdrikian B., and Farmer J.D. Testing for nonlinearity in time series: the method of surrogate data. Physica D 58 (1992) 77-86
48. Timlin D.J., Pachepsky Ya., Snyder V.A., and Bryant R.B. Spatial and temporal variability of corn grain yield on a hillslope. Soil Sci. Soc. Am. J. 62 (1998) 764-773
49. Turching P., and Taylor A.D. Complex dynamics in ecological time series. Ecology 73 (1993) 289-305
50. Vitanov N.K., Sakai K., and Dimitrova Z.I. SSA, PCA, TDPSC, ACFA: useful combination of methods for analysis of short and nonstationary time series. Chaos, Solitons Fractals 37 (2008) 1877-202
51. Wilks D.S. Statistical Methods in Atmospheric Sciences (1995), Academic Press, New York, NY
52. Wolf A., Swift J.B., Swinney H.L., and Vastano J.A. Determining Lyapunov exponents from a time series. Physica D 16 (1985) 285-317
53. Xie Y.-S., and Chen G.-H. Chaotic analyses for space series of gold grade. Int. J. Mod. Phys. B 18 (2004) 2730-2733