Title:

Geometria fraktali i niektóre jej zastosowania w ekologii

Subtitle:

Metodyka ; Fractal geometry and some of its applications in ecology

Creator:

Gazda, Anna

Contributor:

Polska Akademia Nauk. Instytut Ekologii

Publisher:

Oficyna Wydawnicza Instytut Ekologii PAN

Place of publishing:

Dziekanów Leśny

Date issued/created:

1996

Description:

Pages 163-178 : illustrations ; 24 cm ; Bibliographical references (pages 175-178) ; Abstract in English

Type of object:

Journal/Article

Subject and Keywords:

fractals ; ecology

References:

Armstrong A. C. 1986 - On the fractal dimensions of some transient soil properties - J. Soil Sci. 37: 641-652.
Bassendorf M. H. 1987 - Stochastic and fractal analysis of fracture trajectories - Int. J. Engng. Sci. 25: 667-672.
Bradbury R. H., Reichelt R. E., Green D. G. 1984 - Fractals in ecology: methods and interpretation - Mar. Ecol. Progr. Ser. 14: 295-296.
Burlando B. 1990 - The fractal dimension of taxonomic systems - J. Theor. Biol. 146: 99-114.
Burlando B. 1993 - The fractal geometry of evolution - J. Theor. Biol. 163: 161-172.
Burrough P. A. 1981 - Fractal dimension of landscapes and other environmental data - Nature, 294: 240-242.
Burrough P. A. 1983a - Multiscale sources of spatial variation in soil. I. The application of fractal concepts to nested levels of soil variation - J. Soil Sci. 34: 577-597.
Burrough P. A. 1983b - Multiscale sources of spatial variation in soil. II. A non-Brownian fractal model and its application in soil survey - J. Soil Sci. 34: 599-620.
Burrough P. A. 1985 - Faces, facsimiles and facts: fractal models of geophisical phenomena (W: Science and untercertainty. Red. S. Nash) - IBM UK Ltd, Science Reviews Ltd.
Carr J. R., Benzer W. B. 1991 - On the practice of estimating fractal dimension - Math. Geol. 23: 945-958.
Ciesielski K., Pogoda Z. 1989 - Złamany wymiar - Wiedza i Życie, 11-12: 60-68.
Corona P. 1991 - Studio del'architectura della chioma arborea mediante L'analisis frattale - L'Italia Forestale e Montana, 4: 291-308.
Crawford J. W., Young I. M. 1983 - A multiple scaled fractal tree - J. Theor. Biol. 145: 199-206.
Decampo L., de Bikuna B. G. 1994 - Development and application of a diversity index (D) to the benthic macroinvertebrates communities in the rivers of Biscay (North of Spain) - Arch. Hydrobiol. 129: 353-371.
De Cola L. 1989 - Fractal analysis of classified landsat scene - Photogr. Eng. Remote Sens. 55: 601-610.
Dicke M., Burrough P. A. 1988 - Using fractal dimensions for characterizing tortuosity of animal trails - Physiol. Entomol. 13: 393-398.
Falconer K. J. 1990 - Fractal geometry: Mathematical foundations and applications - Willey and Sons Ltd., London.
Feder J. 1988 - Fractals - Plenum Press, New York & London.
Fitter A. H., Stickland T. S. 1992 - Fractal characterization of root system architecture - Funct. Ecol. 6: 632-635.
Frontier S. 1985 - Diversity and structure in aquatic ecosystems - Oceanogr. Mar. Biol. Ann. Rev. 23: 253-312.
Frontier S. 1987 - Applications of fractal theory to ecology (W: Developments in numerical ecology. Red. P. Legendre, L. Legendre) - Springer-Verlag, Berlin, Heidelberg, New York, 335-378.
Frontier S. 1993 - Species diversity as a fractal property of biomass (W: Fractal'93 Conference) - Elsevier, Kingston.
Gardner R. H., Milne B. T., Turner M. G., O’Neill R. V. 1987 - Neutral models for the analysis of broad-scale landscape pattern - Landsc. Ecol. 1: 19-28.
Gee J. M., Warwick R. M. 1994 - Body-size distribution in a marine metazoan community and the fractal dimensions of macroalgae - J. Exp. Mar. Biol. Ecol. 178: 247-259.
Greborgi C., Ott E., Yorke J. A. 1984 - Chaos, strange attractors, and fractal basin boundaries in nonlinear dynamics - Science, 238: 632-638.
Green D. M. 1991 - Chaos, fractals and nonlinear dynamics in evolution and phylogeny - TREE, 6: 333-337.
Gunnarsson B. 1992 - Fractal dimension of plants and body size distribution of plants and body size distribution in spiders - Funct. Ecol. 6: 636-641.
Gunnarsson B. 1993 - Spiders thrive in a fractal world - Fauna Flora (Stokh.), 88: 30-35.
Haslett J. R. 1994 - Community structure and the fractal dimensions of mountain habitats - J. Theor. Biol. 167: 407-411.
Hastings H. M., Sugihara G. 1993 - Fractals a user's guide for the natural sciences - Oxford University Press.
Hauge A. 1993 - Chaos and fractals: Are these concepts of interest to medical science? - Tidsskr. Nor. Laegeforen. 113: 3678-3686.
Hentschel H. G. E., Proacaccia I. 1984 - Relative diffusion in turbulent madia: The fractal dimension of clouds - Phys. Rev. A, 29: 1461-1470.
Jeffrey H. J. 1992 - Fractals and genetics in the future - Spec. Sci. Technol. 15: 311-318.
Jeffries M. 1993 - Invertebrate colonization of artificial pondweeds of differing fractal dimension - Oikos, 67: 142-148.
Kaandrop J. A. 1994 - Fractal modelling. Growth and form in biology - Springer-Verlag, Berlin, Heidelberg, New York.
Kaye B. H. 1989 - A random walk through fractal dimensions - VCH, Weinham, New York.
Keipes M., Ries F., Dicato M. 1993 - On the British coastline and the interest of fractals in medicine - Biomed. Pharmath. 47: 409-415.
Klinkenberg B., Goodchild M. F. 1992 - The fractal properties of topography: a comparison of methods - Earth Surface Processes and Landforms, 17: 217-234.
Korvin G. 1992 - Fractal models in the Earth sciences - Elsevier, Amsterdam.
Krummel J. R., Gardner R. H., Sugihara G., O'Neill R. V., Coleman P. R. 1987 - Landscape patterns in a disturbed environment - Oikos, 48: 321-324.
Kudrewicz J. 1993 - Fraktale i chaos - Wydawnictwa Naukowo-Techniczne, Warszawa.
Langlet G. 1992 - The fractal laws in genetics - Rev. Bio-Math. 30: 57-71.
Loehle C. 1983 - The fractal dimension and ecology - Speculat. Sci. Technol. 6: 131-142.
Loehle C. 1990 - Home range: A fractal approach - Landsc. Ecol. 5: 39-52.
Loehle C., Wein G. 1994 - Landscape habitat diversity: a multiscale information theory approach - Ecol. Model. 73: 311-329.
Long A. C. 1994 - Leonardo da Vinci's rule and fractal complexity in dichotomous trees - J. Theor. Biol. 167: 107-113.
Lovejoy S. 1982 - Area-perimeter relationship for rain and cloud areas - Science, 216: 185-187.
Mandelbrot B. B. 1975 - Les objects fractals: forme, chance et dimension - Flammarion, Paris.
Mandelbrot B. B. 1977 - Fractals. Form, chance and dimension - Freeman and Co., San Francisco.
Mandelbrot B. B. 1983 - The fractal geometry of nature - W. H. Freeman & Co., New York.
Mandelbrot B. B. 1986 - Fractals and the rebirth of iteration theory (W: The beauty of fractals. Red. H.-O. Peitgen, P. H. Richter) - Springer-Verlag, Berlin, Heidelberg, New York, 151-160.
Mandelbrot B. B. 1990 - Fractals - a geometry of nature - New Scientist, 1734: 38-43.
Milne B. T. 1988 - Measuring the fractal geometry of landscapes - Appl. Math. Comput. 27: 67-79.
Milne B. T. 1991 - Lessons from applying fractal models to landscape patterns (W: Quantitative methods in landscape ecology. Red. M. G. Turner, R. H. Gardner) - Springer-Verlag, Berlin, Heidelberg, New York, 199-235.
Milne B. T., Turner M. G., Wiens J. H., Johnson A. R. 1992 - Interactions between the fractal geometry of landscapes and allometric herbivory - Theor. Popul. Biol. 41: 337-353.
Morse D. R., Lawton J. H., Dodson M. M., Williamson M. H. 1985 - Fractal dimension of vegetation and the distribution of arthropod body lengths - Nature, 314: 731-733.
Palmer M. W. 1988 - Fractal geometry: a tool for describing spatial pattern of plant communities - Vegetatio, 75: 91-102.
Palmer M. W. 1992 - The coexistence of species in fractal landscapes - Am. Nat. 139: 375-397.
Pastor J., Broschart M. 1990 - The spatial pattern of a northern conifer-hardwood landscape - Landsc. Ecol. 4: 55-68.
Peitgen H.-O., Richter P. H. 1986 - The beauty of fractals - Springer-Verlag, Berlin, Heidelberg, New York.
Peitgen H.-O., Soupe D. 1988 - The science of fractal images - Springer-Verlag, Berlin, Heidelberg, New York.
Pennycuick C. J. 1992 - Newton rules biology - Oxford University Press.
Pennycuick C. J., Kline N. C. 1986 - Units of measurement for fractal extent, applied to the coastal distribution of bald eagle nests in the Aleutian Islands, Alaska - Oecologia (Berk), 68: 254-258.
Prusinkiewicz P., Hanan J. 1989 - Lindenmayer systems, fractals, and plants - Lect. Notes Biomath. 79: 1-120.
Prusinkiewicz P., Lindenmayer A. 1990 - The algorithmic beauty of plants - Springer-Verlag, Berlin, Heidelberg, New York.
Rex K. D., Malanson G. P. 1990 - The fractal shape of riparian forest patches - Landsc. Ecol. 4: 249-258.
Scheuring I., Riedi R. R. 1994 - Application of multifractals to the analysis of vegetation pattern - J. Veget. Sci. 5: 489-496.
Shorocks B., Marsters J., Ward L, Evennett P. J. 1991 - The fractal dimension of lichenes and the distribution of arthropod body lengths - Funct. Ecol. 5: 457-460.
Strand L. 1990 - Crown density and fractal dimension - Medd. Nor. Inst. Skogforsk. 43: 1-11.
Sugihara G., May M. M. 1990 - Applications of fractals in ecology - TREE, 5: 79-86.
Taylor C. C., Taylor S. J. 1991 - Estimating the dimension of a fractal - J. R. Statist. Soc. B, 53: 353-364.
Tsonis A. A., Tsonis P. A. 1987 - Fractals: A new look at biological shape and pattering - Perspect. Biol. Med. 30: 355-361.
Turner M. G. 1987 - Spatial simulation of landscape changes in Georgia: A comparison of 3 transition models - Landsc. Ecol. 1: 29-36.
Vedyushkin M. A. 1994 - Fractal properties of forest spatial structure - Vegetatio, 113: 65-70.
Voss R. F. 1988 - Fractals in nature: From characterization to simulation (W: The science of fractal images. Red. H.-O. Peitgen, D. Soupe) - Springer-Verlag, Berlin, Heidelberg, New York, 21-70.
Walat A. 1987 - Fraktale - Instytut Kształcenia Nauczycieli im. W. Spasowskiego, Warszawa.
Weiss S. B., Murphy D. D. 1988 - Fractal geometry and caterpillar dispersal: or how many inches can inchworms inch? - Funct. Ecol. 2: 116-118.
West B. J., Goldberg A. L. 1987 - Physiology in fractal dimensions - Am. Sci. 75: 354-356.
With K. A. 1994 - Ontogenetic shifts in low grasshoppers interact with landscape structure: an analysis of movement patterns - Funct. Ecol. 8: 477-485.
Yfantis E. A., Flatman G. T., Englund E. J. 1988 - Simulation of geological surfaces using fractals - Math. Geol. 20: 667-672.
Zeide B. 1990 - Fractal analysis of crown structure (W: Proc. sessions "Mensuration, growth and yield", IUFRO, Red. H. E. Burkhart) - School of Forestry and Wildlife Resources, Virginia Politechnic Institute and State University Blacksburg, Virginia, 24061-0324, U.S.A., 232-241.
Zeide B. 1991 - Fractal geometry in forestry applications - For. Ecol. Manage. 46: 179-188.

Relation:

Wiadomości Ekologiczne

Volume:

42

Issue:

3

Start page:

163

End page:

178

Resource type:

Text

Detailed Resource Type:

Article

Resource Identifier:

ISSN 0013-2969

Source:

MiIZ PAN, call no. P.3259 ; click here to follow the link

Language:

pol

Language of abstract:

eng

Rights:

Creative Commons Attribution BY 3.0 PL license

Terms of use:

Copyright-protected material. [CC BY 3.0 PL] May be used within the scope specified in Creative Commons Attribution BY 3.0 PL license, full text available at: ; -

Digitizing institution:

Museum and Institute of Zoology of the Polish Academy of Sciences

Original in:

Library of the Museum and Institute of Zoology of the Polish Academy of Sciences

Projects co-financed by:

Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget.

Access:

Open