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Fractal analysis of plant spatial patterns: a monitoring tool for vegetation transition shifts

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Abstract.

Spatial heterogeneity, like species diversity, is an important ecosystem property. We examine the effects of land use on the diversity and spatial distribution of plants in five semi-arid communities of eastern Spain using non-linear methods to assess the spatialtemporal dynamics of plant populations. Specifically, we are interested in detecting long-term structural changes or drift in an ecosystem before it is too late to prevent irreversible degradation. Fractal analysis is used to characterize the complexity of plant spatial patterns and Information Theory indices are used to measure change in information flow with land use changes and soil substrate. We found that grazing favored diversity and heterogeneity of species distribution on the impoverished gypsum and saline substrate community, as opposed to the detrimental effect of grazing in the Alpha steppe community. Indeed, old-field succession after 30 years of abandonment showed a recovery of species diversity but not the spatial structure of the vegetation. Further, Information Fractal Dimension, representing the unpredictability of plant spatial patterns in the landscape, increased as we moved from a highly diverse to a less diverse community, revealing the change to a more scattered and homogeneous spatial plant distribution. The Information Fractal Dimension is a good estimator of ecosystem disturbance, independent of scale, and thus can be used to monitor ecosystem dynamics.

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References

  1. C.L. Alados J. Escos J.M. Emlen D.C. Freeman (1999) ArticleTitleCharacterization of branch complexity by fractal analyses International Journal of Plant Science 160 IssueID6 S147–S155

    Google Scholar 

  2. C.L. Alados Y. Pueyo M.L. Giner T. Navarro J. Escos F. Barroso B. Cabezudo J. M. Emlen (2003) ArticleTitleQuantitative characterization of the regressive ecological succession by fractal analysis of plant spatial patterns Ecological Modelling 63 1–17

    Google Scholar 

  3. G.M. Berntson P. Stoll (1997) ArticleTitleCorrecting for finite spatial scales of self-similarity when calculating the fractal dimension of real-world structures Proceedings of the Royal Society of London B Biological Sciences 264 1531–1537

    Google Scholar 

  4. L. Borda-de-Agua S.P. Hubbell M. McAllister (2002) ArticleTitleSpecies-area curves, diversity indices, and species abundante distributions: a multifractal analysis American Naturalist 159 138–155

    Google Scholar 

  5. D.R. Brooks E.O. Wiley (1988) Evolution as entropy. Toward a unified theory of Biology The University of Chicago Press ChicagoIllinois

    Google Scholar 

  6. J. Braun-Blanquet O. Bolós (1957) ArticleTitleLes groupements vegetaux du Bassin Moyen de l’Ebre et leur dynamisme Anales de la Estación Experimental de Aula Dei 5 1–266

    Google Scholar 

  7. J.H. Brown V.K. Grupta B.-L. Li B.T. Milne C. Restrepo G.B. West (2002) ArticleTitleThe fractal nature: power laws, ecological complexity and biodiversity Philosophical Transactions of the Royal Society of London B 357 619–626

    Google Scholar 

  8. A. Bunde S. Havlin (1994) Fractals in Science Springer Verlag Berlin, Germany

    Google Scholar 

  9. C.J. Burrows (1990) Processes of Vegetation Change Unwin Hyman London

    Google Scholar 

  10. F.S. Chapin SuffixIII B.H. Walker R.J. Hobbs D.U. Hooper J.H. Lawton O.E. Sala D. Tilman (1997) ArticleTitleBiotic control over the functioning of ecosystems Science 277 500–504 Occurrence Handle10.1126/science.277.5325.500 Occurrence Handle1:CAS:528:DyaK2sXkvVektLk%3D

    Article  CAS  Google Scholar 

  11. R.W. Chapman (1978) ArticleTitleThe evidence for prehistoric water control in south-east Spain Journal of Arid Environments 1 261–274

    Google Scholar 

  12. W.B. Cohen T.A. Spies G.A. Bradshaw (1990) ArticleTitleSemivariograms of digital imagery for analysis of conifer canopy structure Remote Sensing Environments 34 167–178

    Google Scholar 

  13. S.L. Collins A.K. Knapp J.M. Briggs J.M. Blair E.M. Steinauer (1998) ArticleTitleModulation of diversity by grazing and mowing in native tallgrass prairie Science 280 745–747 Occurrence Handle1:CAS:528:DyaK1cXjtVyhtLc%3D Occurrence Handle9563952

    CAS  PubMed  Google Scholar 

  14. H.V. Cornell R.H. Karlson (1997) Local and regional process as controls of species richness D. Tilman P. Kareiva (Eds) Spatial Ecology: The Role of Space in Population Dynamics and Interspecific Interactions Princeton University Press Princeton, New Jersey 250–268

    Google Scholar 

  15. J.H. Connell R.O. Slatyer (1977) ArticleTitleMechanism of succession in natural communities and their role in community stability and organisation American Naturalist 111 1119–1144

    Google Scholar 

  16. J.H. Connell (1978) ArticleTitleDiversity in tropical rain forests and coral reefs Science 199 1302–1310

    Google Scholar 

  17. M.J. Crawley (1983) Herbivory, the Dynamics of AnimalPlant Interactions University of California Press Berkeley, California

    Google Scholar 

  18. G. DiCastri D.W. Goodall R.L. Specht (1981) Mediterranean Type Shrublands. Ecosystems of the World 11 Elsevier AmsterdamThe Netherlands

    Google Scholar 

  19. C.S. Elton (1958) The Ecology of Invasion by Animals and Plants Chapman & Hall London

    Google Scholar 

  20. J.M. Emlen D.C. Freeman A. Mills J.H. Graham (1998) ArticleTitleHow organisms do right things: the attractor hypothesis Chaos 8 717–726 Occurrence Handle12779777

    PubMed  Google Scholar 

  21. D. Farmer E. Ott J.A. Yorke (1983) ArticleTitleThe dimension of chaotic attractors Physica D 7 153–180

    Google Scholar 

  22. M.S.J. Floate (1981) Effects of grazing by large herbivores on nitrogen cycling in agricultural ecosystems F.E. Clark T. Rosswall (Eds) Terrestrial Nitrogen Cycles Ecology Bulletins StockholmSweden 568–601

    Google Scholar 

  23. D.A. Frank R.D. Evans (1997) ArticleTitleEffects of native grazers on grassland N cycling in Yellowstone National Park Ecology 78 2238–2248

    Google Scholar 

  24. D.A. Frank Y. Zhang (1997) ArticleTitleAmmonia volatilization from a seasonally and spatial variable grazed grassland: Yellowstone National Park Biogeochemistry 36 189–203

    Google Scholar 

  25. S. Frontier (1987) Applications of fractal theory to ecology P. Legendre (Eds) Developments in Numerical Ecology, NATO ASI Series, Vol. G14 Springer Verlag Berlin, Germany 335–378

    Google Scholar 

  26. S.D. Fuhlendorf D.D. Briske F.E. Smeins (2001) ArticleTitleHerbaceous vegetation change in variable rangeland environments: the relative contribution of grazing and climatic variability Applied Vegetation Science 4 IssueID2 177–188

    Google Scholar 

  27. D. Griffiths (1997) ArticleTitleLocal and regional species richness in North American lacustrine fish Journal of Animal Ecology 66 49–56

    Google Scholar 

  28. J.P. Grime (1973) ArticleTitleControl of species density in herbaceous vegetation Journal of Environmental Management 1 151–167

    Google Scholar 

  29. J.P. Grime (1979) Plant Strategies and Vegetation Processes John Wiley New York

    Google Scholar 

  30. J.C. Guerrero (1998) Respuestas de la vegetación y de la morfología de las plantas a la erosión del suelo Consejo de Protección de la Naturaleza de Aragón ZaragozaSpain 257

    Google Scholar 

  31. J.C. Guerrero F. Alberto J. Hoddgson J.M. García-Ruiz G.M. Montserrat (1999a) ArticleTitlePlant community patterns in a gypsum area of NE Spain. Interactions with topographic factors and soil erosion Journal of Arid Environments 41 401–410

    Google Scholar 

  32. J.C. Guerrero F. Alberto M. Maestro J. Hoddgson G.M. Montserrat (1999b) ArticleTitlePlant community patterns in a gypsum area of NE Spain II. Effects of ion washing on topographic distribution of vegetation Journal of Arid Environments 41 411–419

    Google Scholar 

  33. L. Gunderson C.S. Holling (2001) Panarchy: Understanding Transformations in Human and Natural Systems Island Press Washington, DC

    Google Scholar 

  34. M. Gutiérrez Elorza C. Sancho Marcén G. Desir Valen J. Sirvent Mira G. Benito Fernández A. Calvo Cases (1995) Erosión hídrica en terrenos arcillosos y yesíferos de la Depresión del Ebro Universidad de Zaragoza. ICONA MadridSpain 375

    Google Scholar 

  35. Hausdorff F. (1919) ArticleTitleDimension und Auberes Mab Mathematische Annalen 79 157–179

    Google Scholar 

  36. C.V. Hawkes J.J. Sullivan (2001) ArticleTitleThe impact of herbivory on plant in different resource conditions: a meta-analysis Ecology 82 2045–2058

    Google Scholar 

  37. J. Herrero J. Porta N. Fédoroff (1992) ArticleTitleHypergypsic soil micromorphology and landscape relationships in Northeastern Spain Soil Science Society of America Journal 56 1188–1194

    Google Scholar 

  38. R.J. Hobbs L.F. Huenneke (1992) ArticleTitleDisturbancediversity, and invasion: implications for conservation Conservation and Biology 6 324–337

    Google Scholar 

  39. M. Holmgren M. Scheffer E. Ezcurra J.R. Gutiérrez G.M.J. Mohren (2001) ArticleTitleEl Niño effects on the dynamics of terrestrial ecosystems Trends in Ecology & Evolution 16 89–93

    Google Scholar 

  40. M.A. Huston (1979) ArticleTitleA general hypothesis of species diversity American Naturalist 113 81–101

    Google Scholar 

  41. M.A. Huston (1994) Biological Diversity: The Coexistence of Species on Changing Landscapes Cambridge University Press CambridgeUK

    Google Scholar 

  42. M.D. Jennings (2000) ArticleTitleGap analysis: concepts, methods, and recent results Landscape Ecology 15 5–20 Occurrence Handle10.1023/A:1008184408300

    Article  Google Scholar 

  43. C.R. Johnson M.C. Boerlijst (2002) ArticleTitleSelection at the level of community: the importance of spatial structure Trends in Ecology & Evolution 17 83–90

    Google Scholar 

  44. S.E. Jørgensen (2000) General outline of thermodynamic approaches to ecosystems theory S.E. Jørgensen F. Müller (Eds) Handbook of Ecosystem Theories and Management Lewis Publishers Boca Raton, Florida 113–133

    Google Scholar 

  45. J.R. Krummel R.H. Gardner G. Sugihara R.V. O’Neill P.R. Coleman (1987) ArticleTitleLandscape patterns in a disturbed environment Oikos 48 321–324

    Google Scholar 

  46. C.L. Leheman D. Tilman (2000) ArticleTitleBiodiversity, stability, and productivity in competitive communities American Naturalist 156 534–552

    Google Scholar 

  47. H.N. Le Houérou (2001) ArticleTitleBiogeography of the arid steppeland north of the Sahara Journal of Arid Environments 48 103–128

    Google Scholar 

  48. J.M. Levine C.M. D’Antonio (1999) ArticleTitleElton revisited: a review of evidence linking diversity and invisibility Oikos 87 15–26

    Google Scholar 

  49. B.L. Li (2000) ArticleTitleFractal geometry applications in description and analysis of patch patterns and patch dynamics Ecological Modelling 132 33–50

    Google Scholar 

  50. C. Loehle G. Wein (1994) ArticleTitleLandscape habitat diversity: a multiscale information theory approach Ecological Modelling 73 311–329

    Google Scholar 

  51. C. Loehle B.L. Li (1996) ArticleTitleStatistical properties of ecological and geologic fractals Ecological Modelling 85 271–284

    Google Scholar 

  52. C. Loehle B.L. Li R.C. Sundell (1996) ArticleTitleForest spread and phase transitions at forest-prairie ecotones in Kansas, U.S.A Landscape Ecology 11 225–235

    Google Scholar 

  53. M. Loreou (1995) ArticleTitleConsumers as maximizers of matter and energy flow in ecosystems American Naturalist 145 22–42

    Google Scholar 

  54. J. Luo R.W. Tillman P.R. Ball (1999) ArticleTitleGrazing effects on denitrification in a soil under pasture during two contrasting seasons Soil Biology and Biochemistry 31 903–912 Occurrence Handle1:CAS:528:DyaK1MXjtFSrsLk%3D

    CAS  Google Scholar 

  55. R.H. Mac Arthur (1955) ArticleTitleFluctuations of animal populations and a measure of community stability Ecology 36 533–536

    Google Scholar 

  56. Macau F. and Riba O. 1966. Situación, características y extensión de los terrenos yesíferos en España. I. Terrains, Madrid. International Symposium on Public Works Construction in Gypsiferous. Vol. 5, pp. 157184.

  57. B.B. Mandelbrot (1977) Fractals, FormChance and Dimension W.H. Freeman San FranciscoCalifornia

    Google Scholar 

  58. B.B. Mandelbrot (1983) The Fractal Geometry of Nature W.H. Freeman San FranciscoCalifornia

    Google Scholar 

  59. R. Margalef (1968) Perspectives in Ecological Theory University of Chicago Press ChicagoIllinois

    Google Scholar 

  60. C. Mazancourt M. Loreau L. Abbadie (1999) ArticleTitleGrazing optimization and nutrient cycling: potential impact of large herbivores in savanna system Ecological Applications 9 784–797

    Google Scholar 

  61. S.J. McNaughton R.W. Ruess S.W. Seagle (1988) ArticleTitleLarge mammals and process dynamics in African ecosystems BioScience 38 794–800

    Google Scholar 

  62. S.E. Meyer E. García-Moya L.C. Lagunes-Espinoza (1992) ArticleTitleTopographic and soil surface effects on gypsophile plant community patterns in central Mexico Journal of Vegetation Science 3 429–438

    Google Scholar 

  63. D.G. Milchunas W.K. Lauenroth (1993) ArticleTitleQuantitative effects of grazing on vegetation and soils over a global range of environments Ecological Monographs 63 327–366

    Google Scholar 

  64. D.G. Milchunas O.E. Sala W.K. Lauenroth (1988) ArticleTitleA generalized model of the effect of grazing by large herbivores on grasslands community structure American Naturalist 130 168–198

    Google Scholar 

  65. T.B. Milne (1992) ArticleTitleSpatial aggregation and neutral models in fractal landscapes American Naturalist 139 32–57 Occurrence Handle10.1086/285312

    Article  Google Scholar 

  66. J. Monserrat Martí (1992) Evolución glaciar y postglaciar del clima y la vegetación en la vertiente sur del Pirineo: Estudio palinológico Instituto Pirenaico de Ecología (CSIC) ZaragozaSpain

    Google Scholar 

  67. F. Müller R. Hoffman-Kroll H. Wiggering (2000) ArticleTitleIndicating ecosystem integrity- theoretical concepts and environmental requirements Ecological Modelling 130 13–23

    Google Scholar 

  68. M.M. Musa (1968) ArticleTitleNitrogenous fertilizer transformations in the Sudan gezira soil. I. Ammonia volatilization losses following surface applications of urea and ammonium sulfate Plant and Soil 27 413–421

    Google Scholar 

  69. S. Naeem S. Li (1997) ArticleTitleBiodiversity enhances ecosystem reliability Nature 390 507–509 Occurrence Handle1:CAS:528:DyaK2sXnvF2gur4%3D

    CAS  Google Scholar 

  70. H. Olff M.E. Ritchie (1998) ArticleTitleEffects of herbivores on grassland plant diversity Trends in Ecology and Evolution 13 261–265

    Google Scholar 

  71. C. Oyonarte A. Perez-Pujalte C. Gil G. Sánchez (1999) Cartografía y delimitación de unidades geomorfoedáficas en el Parque Natural Cabo de Gata-Nijar SINAMBA. Junta de Andalucía SevillaSpain

    Google Scholar 

  72. M.W. Palmer (1988) ArticleTitleFractal geometry: a tool for describing spatial patterns of plant communities Vegetatio 75 91–102 Occurrence Handle10.1007/BF00044631

    Article  Google Scholar 

  73. M.W. Palmer (1990) ArticleTitleThe estimation of species richness by extrapolation Ecology 71 1195–1198

    Google Scholar 

  74. M.W. Palmer (1991) ArticleTitleEstimating species richness: the second order jack-knife reconsidered Ecology 72 1512–1513

    Google Scholar 

  75. M. Peinado F. Alcaraz J.M. Martínez (1992) Vegetation of Southeastern Spain Flora and Vegetation Mundi. X. J. Cramer Berlin-StuttgartGermany

    Google Scholar 

  76. S.T.A. Pickett S.L. Collins J.J. Armesto (1987) ArticleTitleA hierarchical consideration of causes and mechanisms of succession Vegetation 69 109–114

    Google Scholar 

  77. E.C. Pielou (1966) ArticleTitleSpecies-diversity and pattern-diversity in the study of ecological sucession Journal of Theoretical Biology 10 370–383 Occurrence Handle1:STN:280:CCiC3s3ksVI%3D Occurrence Handle5964400

    CAS  PubMed  Google Scholar 

  78. S.L. Pimm G.J. Russell J.L. Gittleman T.M. Brooks (1995) ArticleTitleThe future of biodiversity Science 269 347–350 Occurrence Handle1:CAS:528:DyaK2MXntVyit7s%3D

    CAS  Google Scholar 

  79. R.E. Plotnick R.H. Gardner W.W. Hargrove K Prestegaard M. Perlmutter (1996) ArticleTitleLacunarity analysis: a general technique for the analysis of spatial patterns Physics Reviews E 53 5461–5468 Occurrence Handle1:CAS:528:DyaK28XjtFOlt7k%3D

    CAS  Google Scholar 

  80. M. Proulux A. Mazumder (1998) ArticleTitleReversal of grazing impact on plant species richness in nutrient-poor vs. nutrient-rich ecosystems Ecology 79 2581–2592

    Google Scholar 

  81. Quirantes (1978) Sedimentologic and stratigraphic study of the continental tertiary of los Monegros Instituto Fernando el Católico ZaragozaSpain 200

    Google Scholar 

  82. D.A. Rand (1994) ArticleTitleMeasuring and characterizing spatial patterns, dynamics and chaos in spatially extended dynamical systems and ecologies Philosophical Transactions of the Royal Society of London A 348 497–514

    Google Scholar 

  83. R.E. Ricklefs D. Schulter (1993) Species Diversity in Ecological Communities: Historical and Geographical Perspectives University of Chicago Press ChicagoIllinois

    Google Scholar 

  84. M. Rietkerk J. de Koppel (1997) ArticleTitleAlternate stable states and threshold effects in semi-arid grazing systems Oikos 79 69–76

    Google Scholar 

  85. M. Rietkerk T. Ouedraogo L. Kumar S. Sanou F. Langevelde A. Kiema (2002) ArticleTitleFine-scale spatial distribution of plants and resources on a sandy soil in the Sahel Plant and Soil 239 69–77 Occurrence Handle1:CAS:528:DC%2BD38XktVGhtbs%3D

    CAS  Google Scholar 

  86. S. Rivas-Martínez M. Costa (1969) ArticleTitleComunidades gypsícolas del centro de España Anales del Instituto Botánico A. J. Cavanilles 27 193–224

    Google Scholar 

  87. R.W. Ruess S.J. McNaughton (1988) ArticleTitleAmmonia volatilization and the effects of large grazing mammals on nutrient loss from East African grasslands Oecologia 77 382–386

    Google Scholar 

  88. D.S. Schimel W.J. Parton F.J. Adamsen R.G. Woodmansee R.L. Senft M.A. Stillwell (1986) ArticleTitleThe role of cattle in the volatile loss of nitrogen from a shortgrass steppe Biogeochemistry 2 39–52 Occurrence Handle1:CAS:528:DyaL28XksVWkur4%3D

    CAS  Google Scholar 

  89. C.E. Shannon (1948) ArticleTitleA mathematical theory of communication Bell Syst. Tech. J. 27 379–423

    Google Scholar 

  90. C.E. Shannon W. Weaver (1949) The Mathematical Theory of Communication University of Illinois Press UrbanaIllinois

    Google Scholar 

  91. M. Scheffer (1998) Ecology of Shallow Lakes Chapman & Hall London

    Google Scholar 

  92. B. Smith J.B. Wilson (1996) ArticleTitleA consumer’s guide to evenness indices Oikos 76 70–82

    Google Scholar 

  93. L. Stone S. Ezrati (1996) ArticleTitleChaos, cycles and spatitemporal dynamics in plant ecology Journal of Ecology 84 279–291

    Google Scholar 

  94. T.W. Therriault J. Kolasa (2000) ArticleTitleExplicit links among physical stress, habitat heterogeneity and biodiversity Oikos 89 387–391

    Google Scholar 

  95. J.N. Thompson B.M. Cunningham (2002) ArticleTitleGeographic structure and dynamics of coevolutionary selection Nature 417 735–738 Occurrence Handle1:CAS:528:DC%2BD38XksVGju70%3D Occurrence Handle12066183

    CAS  PubMed  Google Scholar 

  96. D. Tilman J.A. Downing (1994) ArticleTitleBiodiversity and stability in grasslands Nature 367 363–365 Occurrence Handle10.1038/367363a0

    Article  Google Scholar 

  97. D. Tilman (1996) ArticleTitleBiodiversity: population versus ecosystem stability Ecology 77 350–363

    Google Scholar 

  98. D. Tilman D. Wedin J. Knops (1996) ArticleTitleProductivity and sustainability influenced by biodiversity in grassland ecosystems Nature 379 718–722

    Google Scholar 

  99. D. Tilman P.B. Reich J. Knops D. Wedin T. Mielke C. Lehmen (2001) ArticleTitleDiversity and productivity in a long-term grassland experiment Science 294 843–845 Occurrence Handle1:CAS:528:DC%2BD3MXotVChsb0%3D Occurrence Handle11679667

    CAS  PubMed  Google Scholar 

  100. P.M. Vitousek H.A. Mooney J. Lubchenko J.M. Melillo (1997) ArticleTitleHuman domination of Earth’s ecosystems Science 277 494–499 Occurrence Handle1:CAS:528:DyaK2sXkvVektLs%3D

    CAS  Google Scholar 

  101. B. Walker A. Kinzig J. Langridge (1999) ArticleTitlePlant attribute diversity, resilenceand ecosystem function: the nature and significance of dominant and minor species Ecosystems 2 95–113 Occurrence Handle10.1007/s100219900062

    Article  Google Scholar 

  102. A.S. Watt (1947) ArticleTitlePattern and process in the plant community Journal of Ecology 35 1–22

    Google Scholar 

  103. T. Wellnitz N.L. Poff (2001) ArticleTitleFunctional redundancy in heterogeneous environments: implications for conservation Ecology Letters 4 177–179

    Google Scholar 

  104. R.H. Whittaker (1977) Animal effects on plant species diversity R. Tusen (Eds) Vegetation and Fauna Bericht Internationales Symposium Rinteln. J. Cramer Vaduz, Liechtenstein 409–425

    Google Scholar 

  105. S.D. Wilson D. Tilman (2002) ArticleTitleQuadratic variation in old-field species richness along gradients of disturbance and nitrogen Ecology 83 492–504

    Google Scholar 

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Alados, C.L., Pueyo, Y., Navas, D. et al. Fractal analysis of plant spatial patterns: a monitoring tool for vegetation transition shifts. Biodivers Conserv 14, 1453–1468 (2005). https://doi.org/10.1007/s10531-004-9669-3

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