Quantifying spatial structure of volumetric neutral models

Ecological Modelling

Volumn 186, Issue 3, 2005, Pages 312-325

  Kirkpatrick, Lee Anne ^a   Weishampel, John F ^a  

^a UNIVERSITY OF CENTRAL FLORIDA   (United States)

Author keywords

Forest canopy; Lacunarity; Multifractal; Neutral landscape model; Three dimensional architecture; Voxel

Indexed keywords

ANISOTROPY; COMPUTERIZED TOMOGRAPHY; DATA REDUCTION; MATHEMATICAL MODELS; MORPHOLOGY; OPTICAL RADAR; PATTERN RECOGNITION; REMOTE SENSING; VOLUMETRIC ANALYSIS;

CORAL REEFS; FOREST CANOPIES; MULTIFRACTAL ANALYSIS; NEUTRAL MODELS;

ECOLOGY;

FRACTAL ANALYSIS; LANDSCAPE ECOLOGY; THREE-DIMENSIONAL MODELING;

ANTHOZOA;

EID: 22144478658     PISSN: 03043800     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ecolmodel.2005.01.056     Document Type: Article

References (85)

1. C. Allan, and M. Cloitre Characterizing the lacunarity of random and deterministic fractal sets Phys. Rev. A 44 1991 3552 3558
2. S. Appleby Multifractal characterization of the distribution pattern of the human population Geogr. Anal. 28 1996 147 160
3. M. Aykac, J. Uribe, H. Baghaei, H.D. Li, Y. Wang, Y.Q. Liu, T. Xing, and W.H. Wong Septa design study for volumetric imaging in positron emission tomography IEEE Trans. Nucl. Sci. 49 2002 2097 2102
4. E. Basillais Functional role of the fractal morphology of corals: a full model of the nutrient turbulent diffusion fluxes to a coral reef. C. R. Acad. Sci. Paris Life Sci. 321 1998 295 298
5. D. Bérubé, and M. Jébrak High precision boundary fractal analysis for shape characterization Comput. Geosci. 25 1999 1059 1071
6. Y. Capowiez, P. Renault, and L. Belzunces Three-dimensional trajectories of Co-60-labelled earthworms in artificial cores of soil Eur. J. Soil. Sci. 52 2001 365 375
7. J. Casas, and M. Aluja The geometry of search movements of insects in plant canopies Behav. Ecol. 8 1997 37 45
8. H. Caswell Community structure: a neutral model analysis Ecol. Monogr. 46 1976 327 354
9. J. Chave Study of structural, successional and spatial patterns in tropical rain forests using TROLL, a spatially explicit forest model. Ecol. Model. 124 1999 233 254
10. Q. Cheng Discrete multifractals Math. Geol. 29 1997 245 266
11. Q. Cheng Multifractal modeling and lacunarity analysis Math. Geol. 29 1997 919 932
12. Q. Cheng, and F.B. Agterberg Multifractal modeling and spatial point processes Math. Geol. 27 1995 831 845
13. M.R.T. Dale Lacunarity analysis of spatial pattern: a comparison Landsc. Ecol. 15 2000 467 478
14. A. Dechesne, C. Pallud, D. Debouzie, J.P. Flandrois, T.M. Vogel, J.P. Gaudet, and G.L. Grundmann A novel method for characterizing the microscale 3D spatial distribution of bacteria in soil Soil Biol. Biochem. 35 2003 1537 1546
15. G. Dougherty, and G.M. Henebry Lacunarity analysis of spatial pattern in CT images of vertebral trabecular bone for assessing osteoporosis Med. Eng. Phys. 24 2002 129 138
16. D.B. Downey, A. Fenster, and J.C. Williams Clinical utility of three-dimensional US Radiographics 20 2000 559 571
17. Drake, J.B., 1998. Characterizing and modeling spatial pattern of a longleaf pine savanna. Masters thesis, University of Central Florida, Orlando, 122 pp.
18. J.B. Drake, and J.F. Weishampel Multifractal analysis of canopy height measures in a longleaf pine savanna For. Ecol. Manage. 128 2000 121 127
19. J.B. Drake, and J.F. Weishampel Simulating vertical and horizontal multifractal patterns of a longleaf pine savanna Ecol. Model. 145 2001 129 142
20. P. Dubé, A. Ménard, A. Bouchard, and D.J. Marceau Simulating the impact of small-scale extrinsic disturbances over forest species volumetric light environment Ecol. Model. 145 2005 113 129
21. K.J. Falconer Fractal Geometry: Mathematical Foundations and Applications 1990 Wiley New York 288 pp.
22. A.H. Fitter, and T.R. Strickland Fractal characterization of root system architecture Funct. Ecol. 6 1992 632 635
23. S.M. Gallager, C.S. Davis, A.W. Epstein, A. Solow, and R.C. Beardsley High-resolution observations of plankton spatial distributions correlated with hydrography in the Great South Channel, Georges Bank Deep-Sea Res. Part II-Top. Stud. Oceanogr. 43 1996 1627 1663
24. R.H. Gardner, B.T. Milne, M.G. Turner, and R.V. O'Neill Neutral models for the analysis of broad-scale landscape pattern Landsc. Ecol. 1 1987 19 28
25. R.H. Gardner, and R.V. O'Neill Pattern, process and predictability: the use of neutral models for landscape analysis M.G. Turner R.H. Gardner Quantitative Methods in Landscape Ecology 1991 Springer-Verlag New York 289 307
26. R.H. Gardner, R.V. O'Neill, and M.G. Turner Ecological implications of landscape fragmentation S.T.A. Pickett M.J. McDonnell Humans as Components of Ecosystems: Subtle Human Effects and the Ecology of Populated Areas 1993 Springer-Verlag New York 208 226
27. Y. Gefen, Y. Meir, B.B. Mandelbrot, and A. Aharony Geometric implementation of hypercubic lattices with noninteger dimensionality by use of low lacunarity fractal lattices Phys. Rev. Lett. 50 1983 145 148
28. T.W. Gillespie, L. Brock, and C.W. Wright Prospects for quantifying structure, floristic composition and species richness of tropical forests Int. J. Remote Sens. 25 2004 707 715
29. N.J. Gotelli, and G.R. Graves Null Models in Ecology 1996 Smithsonian Inst. Press Washington, DC 368 pp.
30. Green, D., 1995. Fractals and Scale. Available at: http://server.srcpc. unsw.edu.au/complex/tutorials/tutorial3.html.
31. E.J. Gustafson Quantifying landscape spatial pattern: what is the state of the art? Ecosystems 1 1998 143 156
32. F. Hallé, R.A.A. Oldeman, and P.B. Tomlinson Tropical Trees and Forests: An Architectural Analysis 1978 Springer-Verlag New York 441 pp.
33. Hargrove, W.W., Hoffman, F.M., Schwartz, P.M., 2002. A fractal landscape realizer for generating synthetic maps. Conserv. Ecol. 6 (2) [online]. URL: http://www.consecol.org/vol6/iss1/art2.
34. R.P. Hewitt, and D.A. Demer The use of acoustic sampling to estimate the dispersion and abundance of euphausiids, with an emphasis on Antarctic krill, Euphausia superba Fish. Res. 47 2000 215 229
35. T.H. Keitt, and A.R. Johnson Spatial heterogeneity and anomalous kinetics: Emergent patterns in diffusion-limited predatory-prey interaction J. Theor. Biol. 172 1995 127 139
36. V. Kostylev, and J. Erlandsson A fractal approach for detecting spatial hierarchy and structure on mussel beds Mar. Biol. 139 2001 497 506
37. S. Lavorel, R.H. Gardner, and R.V. O'Neill Analysis of patterns in hierarchically structured landscapes Oikos 67 1993 521 528
38. M.A. Lefsky, W.B. Cohen, G.G. Parker, and D.J. Harding Lidar remote sensing for ecosystem studies BioScience 52 2002 19 30
39. H. Li, and J.F. Reynolds A simulation experiment to quantify spatial heterogeneity in categorical maps Ecology 75 1994 2446 2455
40. J. Mach, and F. Mas Two representations in multifractal analysis J. Phys. A-Math. Gen. 28 1995 5607 5622
41. Mach, J., Mas, F., 1997. MFRAC v2.0 Software for Fractal and Multifractal Indices Calculation. Available at: http://www.qf.ub.es/area5/jordi/mfrac.html.
42. B.B. Mandelbrot The Fractal Geometry of Nature 1983 Freeman New York 468 pp.
43. B.T. Milne Spatial aggregation and neutral models in fractal landscapes Am. Nat. 139 1992 32 57
44. B.T. Milne, A.R. Johnson, T.H. Keitt, C.A. Hatfield, J. David, and P.T. Hraber Detection of critical densities associated with pinon-juniper woodland ecotones Ecology 77 1996 805 821
45. D.J. Mladenoff, M.A. White, J. Pastor, and T.R. Crow Comparing spatial pattern in unaltered old-growth and disturbed forest landscapes Ecol. Appl. 3 1993 294 306
46. M.W. Moffett The nature and limits of canopy biology Selbyana 22 2001 155 179
47. K.A. Moloney, and S.A. Levin The effects of disturbance architecture on landscape-level population dynamics Ecology 77 1996 375 394
48. N.M. Nadkarni, G.G. Parker, E.D. Ford, J.B. Cushing, and C. Stallman The international canopy network: a pathway for interdisciplinary exchange of scientific information on forest canopies Northwest Sci. 70 1996 104 108
49. R.V. O'Neill, R.H. Gardner, and M.G. Turner A hierarchical neutral model for landscape analysis Landsc. Ecol. 7 1992 55 61
50. R.V. O'Neill, B.T. Milne, M.G. Turner, and R.H. Gardner Resource utilization scales and landscape pattern Landsc. Ecol. 2 1988 3 69
51. M.W. Palmer The coexistence of species in fractal landscapes Am. Nat. 139 1992 375 397
52. A. Panahi, and Q. Cheng Multifractality as a measure of spatial distribution of geochemical patterns Math. Geol. 36 2004 827 846
53. G.G. Parker, D.J. Harding, and M.L. Berger A portable LIDAR system for rapid determination of forest canopy structure J. Appl. Ecol. 41 2004 755 767
54. J.K. Parrish, and W.M. Hamner Animal Groups in Three Dimensions 1997 Cambridge University Cambridge 378 pp.
55. S.M. Pearson, M.G. Turner, R.H. Gardner, and R.V. O'Neill An organism based perspective of habitat fragmentation R.C. Szaro D.W. Johnston Biodiversity in Managed Landscapes: Theory and Practice 1996 Oxford University Press Oxford 77 95
56. R.E. Plotnick, R.H. Gardner, W.W. Hargrove, K. Prestegaard, and M. Perlmutter Lacunarity analysis: a general technique for the analysis of spatial patterns Phys. Rev. E 53 1996 5461 5468
57. R.E. Plotnick, R.H. Gardner, and R.V. O'Neill Lacunarity indices as measures of landscape texture Landsc. Ecol. 8 1993 201 211
58. L.J. PyrakNolte, C.D. Montemagno, and D.D. Nolte Volumetric imaging of aperture distributions in connected fracture networks Geophys. Res. Lett. 24 1997 2343 2346
59. C. Rappoldt, and J.W. Crawford The distribution of anoxic volume in a fractal model of soil Geoderma 88 1999 329 347
60. I. Scheuring, and R.H. Riedi Application of multifractals to the analysis of vegetation pattern J. Veg. Sci. 5 1994 489 496
61. R. Sievanen, E. Nikinmaa, P. Nygren, H. Ozier-Lafontaine, J. Perttunen, and H. Hakula Components of functional-structural tree models Ann. For. Sci. 57 2000 399 412
62. S. Sisodiya, S. Free, D. Fish, and S. Shorvon MRI-based surface area estimates in the normal adult brain. Evidence for structural for structural organization J. Anat. 188 1996 425 438
63. D.J. Skirvin Virtual plant models of predatory mite movement in complex plant canopies Ecol. Model. 171 2004 301 313
64. R.V. Solé, and S.C. Manrubia Are rainforests self-organized in a critical state? J. Theor. Biol. 173 1995 31 40
65. T.A. Spies Forest structure: a key to the ecosystem Northwest Sci. 72 1998 34 39
66. SPSS, 1997. SigmaPlot: Transforms and Regressions. SPSS Inc., Chicago.
67. H.E. Stanley Fractals and multifractals: the interplay of physics and geometry A. Bunde S. Havlin Fractals and Disordered Systems 1991 Springer-Verlag Berlin 1 49
68. D. Stauffer Introduction to Percolation Theory 1985 Taylor & Francis London and Philadelphia 181 pp.
69. G. Stetten, and R. Tamburo Real-time three-dimensional ultrasound methods for shape analysis and visualization Methods 25 2001 221 230
70. G. Sugihara, and R.M. May Applications of fractals in ecology Trends Ecol. E vol. 5 1990 79 87
71. W.D. Taylor Sampling data on the bactivorous ciliates of a small pond compared to neutral models of community structure Ecology 60 1979 876 883
72. W.R. Thomas, and T.C. Foin Neutral hypotheses and patterns of species diversity: fact or artifact? Paleobiology 8 1982 45 55
73. S. Torquato Random Heterogeneous Materials: Microstructure and Macroscopic Properties 2002 Springer New York 701 pp.
74. M.G. Turner, R.H. Gardner, V.H. Dale, and R.V. O'Neill Predicting the spread of disturbance across heterogeneous landscapes Oikos 55 1989 121 129
75. M.G. Turner, R.H. Gardner, and R.V. O'Neill Landscape Ecology in Theory and Practice: Pattern and Process 2001 Springer-Verlag New York 401 pp.
76. W. Turner, S. Spector, N. Gardiner, M. Fladeland, E. Sterling, and M. Steininger Remote sensing for biodiversity science and conservation. Trends Ecol. E vol. 18 2003 306 314
77. J.F. Weishampel, J.H. Sloan, J.C. Boutet Jr., and J.R. Godin Mesoscale changes in textural pattern of 'intact' Peruvian rainforests (1970s-1980s) Int. J. Remote Sens. 19 1998 1007 1014
78. J.F. Weishampel, J.B. Blair, R.G. Knox, R. Dubayah, and D.B. Clark Volumetric lidar return patterns from an old-growth tropical rainforest canopy Int. J. Remote Sens. 21 2000 409 415
79. J.F. Weishampel, J.R. Godin, and G.M. Henebry Pantropical dynamics of 'intact' rain forest canopy texture Global Ecol. Biogeogr. 10 2001 389 398
80. J.A. Wiens, T.O. Crist, K.A. With, and B.T. Milne Fractal patterns of insect movement in microlandscape mosaics Ecology 76 1995 663 666
81. J.A. Wiens, R.L. Schooley, and R.D. Weeks Jr. Patchy landscapes and animal movements: do beetles percolate? Oikos 78 1997 257 264
82. K.A. With, and T.O. Crist Critical thresholds in species' responses to landscape structure Ecology 76 1995 2446 2459
83. K.A. With, and A.W. King The use and misuse of neutral landscape models in ecology Oikos 79 1997 219 229
84. K.A. With, R.H. Gardner, and M.G. Turner Landscape connectivity and population distributions in heterogeneous environments Oikos 78 1997 151 169
85. B. Zeide Fractal geometry in forestry applications For. Ecol. Manage. 46 1991 179 188