World Library  


Add to Book Shelf
Flag as Inappropriate
Email this Book

Rényi Dimensions and Pedodiversity Indices of the Earth Pedotaxa Distribution : Volume 14, Issue 4 (28/08/2007)

By Caniego, F. J.

Click here to view

Book Id: WPLBN0003980004
Format Type: PDF Article :
File Size: Pages 9
Reproduction Date: 2015

Title: Rényi Dimensions and Pedodiversity Indices of the Earth Pedotaxa Distribution : Volume 14, Issue 4 (28/08/2007)  
Author: Caniego, F. J.
Volume: Vol. 14, Issue 4
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Copernicus GmbH
Historic
Publication Date:
2007
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications

Citation

APA MLA Chicago

José Martínez, F. S., Ibáñez, J. J., & Caniego, F. J. (2007). Rényi Dimensions and Pedodiversity Indices of the Earth Pedotaxa Distribution : Volume 14, Issue 4 (28/08/2007). Retrieved from http://hawaiilibrary.net/


Description
Description: Dept. Applied Mathematics to Agriculture Engineering, E.T.S.I Agrónomos, Technical University of Madrid, 28040 Madrid, Spain. Pedodiversity, the study and measurement of soil diversity, may be considered as a framework to analyze spatial patterns. Recently, selfsimilar multifractal patterns have been recently reported in the pedotaxa-abundance distributions at the planetary scale. This is the result to be expected from the complexity of earth soil systems. When the state of soil is understood as the outcome of nonlinear chaotic dynamic, highly irregular patterns with so-called multifractal behavior should be common. This opens the opportunity to use parameters of fractal theory to characterize pedodiversity. We compute Rényi generalized dimensions for the abundance distribution of pedotaxa for the five landmasses and the whole World drawn from the most detailed available global dataset based on the second level of the FAO 1974 classification units. We explore the effective relationship between diversity indices and Rényi dimensions. We show how multifractal analysis unifies diversity indices and how they should be interpreted offering a coherent perspective with a single mathematical procedure to analyze spatial patterns of the pedosphere.

Summary
Rényi dimensions and pedodiversity indices of the earth pedotaxa distribution

Excerpt
Beck, C. and Schlögl, F.: Thermodynamics of chaotic systems. An Introduction, Cambridge University Press, New York, 1995.; Caniego, F. J., Martín, M. A., and San Jose, F.: Rényi dimensions of soil pore size distribution, Geoderma, 112, 205–216, 2003.; Caniego, F. J., Espejo, R., Martín, M. A., and San José, F.: Multifractal scaling of soil spatial variability, Ecol. Mod., 182, 291–303, 2005.; Borda-de-Agua, L., Hubbell, S. P., and McAllister, M.: Species-Area Curves, Diversity Indices, and Species Abundances Distributions: A Multifractal Analysis, The American Naturalist, 159, 138–155, 2002.; Caniego, F. J., IbáÑez, J. J., and San José, F.: Selfsimilarity of pedotaxa distributions at the planetary scale: a multifractal approach, Geoderma, 134, 306–317, 2006.; Condie, K. C.: Plate Tectonics and Crustal Evolution, 3rd edition, Pergamon Press, UK, 1989.; 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.; FAO: FAO-UNESCO Soil Map of the World, Vol. I. Legend. UNESCO, Paris, 1974.; FAO: World Soil Resources. An Explanatory Note on the FAO World Soil Resources Map at 1:25,000,000 scale, FAO World Soil Resources Reports 66, Rev. I, Rome, 64 pp., 1993.; FAO: World reference base for soil resources, 84 World Soil Resources Reports. FAO-UN, Rome (http://www.fao.org/docrep/W8594E/W8594E00.HTM), 1998.; IbáÑez, J. J., Ruiz-Ramos, M., and Tarquis, A. M.: Mathematical structures of biological and pedological taxonomies, Geoderma, 134, 360–372, 2006.; Gaite, J., Domínguez, A., and Pérez-Mercader, J.: The fractal distribution of galaxies and the transition to homogeneity, The Astrophysical Journal, 522, L5–L8, 1999.; Grassberger, P.: Generalized dimensions of strange attractors, Phys. Lett., 97A, 227–230, 1983.; Guo, Y., Gong, P., and Amundson, R.: Pedodiversity in the United States of America, Geoderma, 117, 99–115, 2003.; Hastings, H. M. and Sugihara, G.: Fractals. A user's guide for natural science, Oxford University Press, Oxford, 1993.; IbáÑez, J. J., Jiménez-Ballesta, R., and García-Álvarez, A.: Soil Landscapes and drainage basins in Mediterranean mountain areas, Catena, 17, 573–583, 1990.; IbáÑez, J. J., De-Alba, S., Berm\'udez, F. F., and García-Álvarez, A.: Pedodiversity concepts and tools, Catena, 24, 215–232, 1995.; IbáÑez, J. J., De-Alba, S., Lobo, A., and Zucarello, V.: Pedodiversity and global soil patterns at coarser scales (with Discussion), Geoderma, 83, 199–201, 1998.; IbáÑez, J. J. and De Alba, S.: Pedodiversity and scaling laws: sharing Martín and Rey's opinion on the role of the Shannon index as a measure of diversity, Geoderma, 98, 5–9 (Discussion Paper), 2000.; IbáÑez, J. J., Caniego, J., San José, F., and Carrera, C.: Pedodiversity-area relationships for islands, Ecol. Mod., 182, 257–269, 2005a.; IbáÑez, J. J., Caniego, J., and García-Álvarez, A.: Nested subset analysis and taxa-range size distributions of pedological assemblages: implications for biodiversity studies, Ecol. Mod., 182, 239–256, 2005b.; IbáÑez, J. J. and Ruiz-Ramos, M.: Biological and pedological classifications: a mathematical comparison, Eurasian Soil Sci., 39, 712–719, 2006.; Jenny, H.: Factors of soil formation: a system of quantitative pedology, McGraw-Hill, New York, 1941.; Lurié, D. and Wagensberg, J.: On biomass diversity in ecology, B. Math. Biol., 4, 287–293, 1983.; Lurié, D., Valls, J., and Wagensberg, J.: Thermodynamic approach to biomass diversity, B. Math. Biol., 45, 869–872, 1983.; MacArthur, R. H. and Wilson, E. O.: The Theory of Island Biogeography, Princeton Univ. Press, Princeton, 1967.; Magurran, A. E.: Eco

 

Click To View

Additional Books


  • Statistical Optimization for Passive Sca... (by )
  • An Ising Model for Earthquake Dynamics :... (by )
  • Coherence and Predictability of Extreme ... (by )
  • Magnetic Transfer Function Entropy and t... (by )
  • Synchronization and Desynchronization in... (by )
  • Extreme Event Return Times in Long-term ... (by )
  • Lagrangian Descriptors and the Assessmen... (by )
  • Efficient Selective Filtering of Seismic... (by )
  • The Local Ensemble Transform Kalman Filt... (by )
  • Comparison of Extended and Ensemble Base... (by )
  • Double Rank-ordering Technique of Roma (... (by )
  • New Types of Stable Nonlinear Whistler W... (by )
Scroll Left
Scroll Right

 



Copyright © World Library Foundation. All rights reserved. eBooks from Hawaii eBook Library are sponsored by the World Library Foundation,
a 501c(4) Member's Support Non-Profit Organization, and is NOT affiliated with any governmental agency or department.