Lacunarity indices as measures of landscape texture

Allain, C. and Cloitre, M. 1991. Characterizing the lacunarity of random and deterministic fractal sets. Physical Review A 44: 3552?3558.

Comins, H.N. and Noble, I.R. 1985. Dispersal, variability, and transient niches; species coexistence in a uniformly variable environment. Am. Nat. 126: 706?723.

Elliot, J.M. 1977. Some Methods for the Statistical Analysis of Samples of Benthic Invertebrates. Freshwater Biological Association, Scientific Publication no. 25.

Feder, J. 1988. Fractals. Plenum, New York.

Forman, R.T.T. and Godron, M. 1986. Landscape Ecology. John Wiley and Sons, NY.

Gardner, R.H., Milne, B.T., Turner, M.G., and O'Neill, R.V. 1987. Neutral models for the analysis of broad-scale landscape pattern. Landscape Ecology, 1: 19?28.

Gardner, R.H. and O'Neill, R.V. 1991. Pattern, process and predictability: The use of neutral models for landscape analysis. pp 289?307. In: Turner, M.G. and Gardner, R.H., eds. Quantitative Methods in Landscape Ecology. The analysis and interpretation of landscape heterogeneity. Ecological Studies Series, Springer-Verlag, New York.

Gardner, R.H., O'Neill, R.V., and Turner, M.G. Ecological implications of landscape fragmentation. Proceedings of the Cary Conference. In Press.

Gefen, Y., Meir, Y., and Aharony, A. 1983. Geometric implementation of hypercubic lattices with noninteger dimensionality by use of low lacunarity fractal lattices. Physical Review Letters, 50: 145?148.

Gefen, Y., Aharony, A. and Mandelbrot, B.B. 1984. Phase transitions on fractals: III. Infinitely ramified lattices. Journal Physics A: Mathematical and General, 17: 177?1289.

Getis, A. and Franklin, J. 1987. Second-order neighborhood analysis of mapped point patterns. Ecology, 68: 473?477.

Geritz, S.A.H., Metz, J.A.J., Klinkhamer, P.G.L. and De Jong, T.J. 1987. Competition in safe sites. Theor. Pop. Biol. 33: 161?180.

Gosz J.R. 1992. Fundamental ecological characteristics of landscape boundaries, pp 9?30. In: The Role of Landscape Boundaries in the Management and Restoration of Changing Environments, M.M. Holland, P.G. Risser and R.J. Naiman (eds.), Chapman and Hall, NY.

Greig-Smith, P. 1964. Quantitative Plant Ecology. 2nd ed., Butterworths, London.

Kareiva, P. 1986. Patchiness, dispersal, and species interactions: consequences for communities of herbivorous insects. Pages 192?206, in J. Diamond and T.J. Case, eds. Community ecology. Harper and Row, New York.

Kareiva, P. 1990. Population dynamics in spatially complex environments: theory and data. Phil. Trans. R. Soc. Lond. B 330: 175?190.

Kaye, B.H. 1989. A Random Walk Through Fractal Dimensions. VCH Publishers, New York.

Krummel J.R., Gardner, R.H., Sugihara, G., O'Neill, R.V., and Coleman, P.R. 1987. Landscape patterns in a disturbed environment. Oikos 48: 321?324.

Lin, B. and Yang, Z.R. 1986. A suggested lacunarity expression for Sierpinski carpets. Journal Physics A: Mathematical and General, 19: L49-L52.

Mandelbrot, B.B. 1983. The Fractal Geometry of Nature. W.H. Freeman, New York.

Milne, B.T. 1992. Spatial aggregation and neutral models in fractal landscapes. Amer. Nat. 139: 32?57.

Morisita, M., 1959. Measuring the dispersion of individuals and analysis of distributional patterns. Mem. Fac. Sci. Kyushu Univ. Serie E (Biology) 2: 215?235.

O'Neill, R.V., Krummel J.R., Gardner, R.H., Sugihara, G., Jackson, B., DeAngelis, D.L., Milne, B.T., Turner, M.G., Zygmunt, B., Christensen, S.W., Dale, V.H., Graham, R.L. 1988a. Indices of landscape pattern. Landscape Ecology 1: 153?162.

O'Neill, R.V., Milne, B.T., Turner, M.G., and Gardner, R.H. 1988b. Resource utilization scales and landscape pattern. Landscape Ecology 2: 63?69.

O'Neill, R.V., Gardner, R.H., Turner, M.G. A hierarchical neutral model for landscape analysis. Landscape Ecology, In Press.

Pacala, S.W. 1987. Neighborhood models of plant population dynamics. III Models with spatial heterogeneity in the physical environment. Theor. Pop. Biol. 31: 359?392.

Palmer, M.W. 1992. The coexistence of species in fractal landscapes. American Naturalist, 139: 375?397.

Pielou, E.C. 1969. An Introduction to Mathematical Ecology. Wiley-Interscience, New York.

Turner, M.G., and Gardner, R.H. 1991. Quantitative Methods in Landscape Ecology: An Introduction, pp 3?14. In: Turner, M.G. and R.H. Gardner, eds. Quantitative Methods in Landscape Ecology. The analysis and interpretation of landscape heterogeneity. Ecological Studies Series, Springer-Verlag, New York.

Voss, R. 1988. Fractals in nature: from characterization to simulation, pp 22?70. In: Peitgen, H. and D. Saupe, eds. The Science of Fractal Images. Springer-Verlag, New York.

Wiens, J.A. and Milne, B.T. 1989. Scaling of ?landscapes? in landscape ecology, or landscape ecology from a beetle's perspective. Landscape Ecology 3: 87?96.