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References
Barenblatt, G. I. 1996. Scaling, Self-Similarity, and Intermediate Asymptotics. Cambridge University Press, Cambridge.
Becker, A., and P. Braun. 1999. Disaggregation, aggregation and spatial scaling in hydrological modelling. Journal of Hydrology 217:239-252.
Belyea, L. R., and J. Lancaster. 2002. Inferring landscape dynamics of bog pools from scaling relationships and spatial patterns. Journal of Ecology 90:223-234.
Berntson, G. M., and P. Stoll. 1997. Correcting for finite spatial scales of self-similarity when calculating the fractal dimensions of real-world structures. Proceedings of the Royal Society of London Series B-Biological Sciences 264:1531-1537.
Beven, K. 2000. On the future of distributed modelling in hydrology. Hydrological Processes 14: 3183-3184.
Bierkens, M. F. P., P. A. Finke, and P. de Willigen. 2000. Upscaling and Downscaling Methods for Environmental Research. Kluwer Academic Publishers, Dordrecht.
Binney, J. J., N. J. Dowrick, A. J. Fisher, and M. E. Newman. 1993. The Theory of Critical Phenomena: An Introduction to the Renormalization Group. Oxford Science, Oxford.
Blöschl, G., and M. Sivapalan. 1995. Scale issues in hydrological modelling: A review. Hydrological Processes 9:251-290.
Bokma, F. 2004. Evidence against universal metabolic allometry. Functional Ecology 18:184-187.
Brown, J. H., V. K. Gupta, B.-L. Li, B. T. Milne, C. Restrepo, and G. B. West. 2002. The fractal nature of nature: power laws, ecological complexity and biodiversity. Philosophical Transactions of the Royal Society (London B) 357:619-626.
Brown, J. H., G. B. West, and B. J. Enquist. 2000. Patterns and processes, causes and consequences. Pages 1-24 in J. H. Brown and G. B. West, editors. Scaling in Biology. Oxford University Press, New York.
Bull, W. B. 1975. Allometric change of landforms. Geological Society of America Bulletin 86:1489-1498.
Burnett, C., and T. Blaschke. 2003. A multi-scale segmentation/object relationship modeling methodology for landscape analysis. Ecological Modelling 168:233-249.
Calder, W. A. 1983. Ecological scaling: mammals and birds. Annual Review of Ecology and Systematics 14:213-230.
Cale, W. G. 1995. Model Aggregation - Ecological perspectives. Pages 230-241 in B. C. Patten, S. E. Jorgensen, and S. I. Auerbach, editors. Complex Ecology. Prentice-Hall, Englewood Cliffs.
Carbone, C., and J. L. Gittleman. 2002. A common rule for the scaling of carnivore density. Science 295:2273-2276.
Chave, J., and S. A. Levin. 2003. Scale and scaling in ecological and economic systems. Environmental and Resource Economics 26:527-557.
Church, M., and D. M. Mark. 1980. On size and scale in geomorphology. Progress in Physical Geography 4:342-390.
Crane, R. G., B. Yarnal, E. J. Barron, and B. Hewitson. 2002. Scale interactions and regional climate: examples from the Susquehanna River Basin. Human and Ecological Risk Assessment 8:147-158.
Crawley, M. J., and J. E. Harral. 2001. Scale dependence in plant biodiversity. Science 291:864-868.
Cyr, H., and S. C. Walker. 2004. An illusion of mechanistic understanding. Ecology 85:1802-1804.
de Vries, W., J. Kros, C. van der Salm, J. E. Groenenberg, and G. J. Reinds. 1998. The use of upscaling procedures in the application of soil acidification models at different spatial scales. Nutrient Cycling in Agroecosystems 50:223-236.
Dolman, A. J., and E. A. Blyth. 1997. Patch scale aggregation of heterogeneous land surface cover for mesoscale meteorological model. Journal of Hydrology 190:252-268.
Enquist, B. J., J. H. Brown, and G. B. West. 1998. Allometric scaling of plant energetics and population density. Nature 395:163-165.
Gardner, R. H., B. T. Milne, M. G. Turner, and R. V. O’Neill. 1987. Neutral models for the analysis of broad-scale landscape pattern. Landscape Ecology 1:19-28.
Goovaerts, P. 1997. Geostatistics for Natural Resources Evaluation. Oxford University Press, New York.
Gould, S. J. 1966. Allometry and size in ontogeny and phylogeny. Biological Review 41:587-640.
Griffith, G. E., J. M. Omernik, and A. J. Woods. 1999. Ecoregions, watersheds, basins, and HUCs: how state and federal agencies frame water quality. Journal of Soil and Water Conservation 54:666-677.
Gunther, B. 1975. Dimensional analysis and theory of biological similarity. Physiological Reviews 55:659-699.
Hall, O., G. J. Hay, A. Bouchard, and D. J. Marceau. 2004. Detecting dominant landscape objects through multiple scales: an integration of object-specific methods and watershed segmentation. Landscape Ecology 19:59-76.
Hanski, I., editor. 1999. Metapopulation Ecology. Oxford University Press, New York.
Harte, J., A. Kinzig, and J. Green. 1999. Self-similarity in the distribution and abundance of species. Science 284:334-336.
Hastings, H. M., and G. Sugihara. 1993. Fractals: A User’s Guide for the Natural Sciences. Oxford University Press, Oxford.
Haverkamp, R., J.-Y. Parlange, R. Cuenca, P. J. Ross, and T. S. Steenhuis. 1998. Scale analyses for land-surface hydrology. Pages 190-223 in G. Sposito, editor. Scale Dependence and Scale Invariance in Hydrology. Cambridge University Press, Cambridge.
Hay, G., D. J. Marceau, P. Dubé, and A. Bouchard. 2001. A multiscale framework for landscape analysis: object-specific analysis and upscaling. Landscape Ecology 16:471-490.
Hay, G. J., T. Blaschke, D. J. Marceau, and A. Bouchard. 2003. A comparison of three image-object methods for the multiscale analysis of landscape structure. ISPRS Journal of Photogrammetry and Remote Sensing 57:327-345.
Hewitson, B. C., and R. G. Crane. 1996. Climate downscaling: techniques and application. Climate Research 7:85-95.
Hood, W. G. 2002. Application of landscape allometry to restoration of tidal channels. Restoration Ecology 10:213-222.
Iwasa, Y., S. A. Levin, and V. Andreasen. 1989. Aggregation in model ecosystems: II. approximate aggregation. IMA Journal of Mathematics Applied in Medicine & Biology 6:1-23.
Jarvis, P. G. 1995. Scaling processes and problems. Plant, Cell and Environment 18:1079-1089.
King, A. W. 1991. Translating models across scales in the landscape. Pages 479-517 in M. G. Turner and R. H. Gardner, editors. Quantitative Methods in Landscape Ecology. Springer-Verlag, New York.
King, A. W., A. R. Johnson, and R. V. O’Neill. 1991. Transmutation and functional representation of heterogeneous landscapes. Landscape Ecology 5:239-253.
Kozlowski, J., and M. Konarzewski. 2004. Is West, Brown and Enquist’s model of allometric scaling mathematically correct and biologically relevant? Functional Ecology 18:283-289.
Kunin, W. E. 1998. Extrapolating species abundance across spatial scales. Science 281:1513-1515.
L’homme, J. P., A. Chehbouni, and B. A. Monteny. 1996. Canopy to region scale translation of surface fluxes. Pages 161-182 in J. B. Stewart, E. T. Engman, R. A. Feddes, and Y. Kerr, editors. Boundary-Layer Meteorology. Wiley, Chichester.
LaBarbera, M. 1989. Analyzing body size as a factor in ecology and evolution. Annual Review of Ecology and Systematics 20:97-117.
Lam, N. S. 1983. Spatial interpolation methods: a review. The American Cartographer 10:129-149.
Levin, S. A. 1976. Population dynamic models in heterogeneous environments. Annual Review of Ecology and Systematics 7:287-310.
Levin, S. A. 1992. The problem of pattern and scale in ecology. Ecology 73:1943-1967.
Levin, S. A., and S. W. Pacala. 1997. Theories of simplification and sclaing of spatially distributed processes. Pages 271-295 in D. Tilman and P. Kareiva, editors. Spatial Ecology. Princeton University Press, Princeton.
Levin, S. A., and R. T. Paine. 1974. Disturbance, patch formation and community structure. Proceedings of the National Academy of Sciences 71:2744-2747.
Li, H., and J. Wu. 2004. Use and misuse of landscape indices. Landscape Ecology 19:389-399.
Li, H., J. F. Franklin, F. J. Swanson, and T. A. Spies. 1993. Developing alternative forest cutting patterns: a simulation approach. Landscape Ecology 8:63-75.
Lomolino, M. V. 2000. Ecology’s most general, yet protean pattern: the species-area relationship. Journal of Biogeography 27:17-26.
Lonsdale, W. M. 1990. The self-thinning rule: dead or alive? Ecology 71:1373-1388.
Magnani, F. 1999. Plant energetics and population density. Nature 398:572.
Mandelbrot, B. B. 1982. The Fractal Geometry of Nature. W. H. Freeman and Company, New York.
Mandelbrot, B. B. 1999. Multifractals and1/f Noise Wild Self-Affinity in Physics(1963-1976). Springer-Verlag, New York.
Marceau, D. J. 1999. The scale issue in social and natural sciences. Canadian Journal of Remote Sensing 25:347-356.
Miller, E. E., and R. D. Miller. 1956. Physical theory for capillary flow phenomena. Journal of Applied Physics 27:324-332.
Milne, B. T. 1991. Heterogeneity as a multiscale characteristic of landscapes. Pages 69-84 in J. Kolasa and S. T. A. Pickett, editors. Ecological Heterogeneity. Springer-Verlag, New York.
Milne, B. T. 1998. Motivation and benefits of complex systems approaches in ecology. Ecosystems 1:449-456.
Niklas, K. J. 1994. Plant Allometry: The Scaling of Form and Process. University of Chicago Press, Chicago.
Nikora, V. I., C. P. Pearson, and U. Shankar. 1999. Scaling properties in landscape patterns: New Zealand experience. Landscape Ecology 14:17-33.
O’Neill, R. V. 1979. Natural variability as a source of error in model predictions. Pages 23-32 in G. S. Innis and R. V. O’Neill, editors. Systems Analysis of Ecosystems. International Co-operative Publishing House, Fairland, MD.
O’Neill, R. V., and B. Rust. 1979. Aggregation error in ecological models. Ecological Modelling 7: 91-105.
O’Neill, R. V., R. H. Gardner, B. T. Milne, M. G. Turner, and B. Jackson. 1991. Heterogeneity and Spatial Hierarchies. Pages 85-96 in J. Kolasa and S. T. A. Pickett, editors. Ecological Heterogeneity. Springer-Verlag, New York.
Omernik, J. M. 2003. The misuse of hydrologic unit maps for extrapolation, reporting, and ecosystem management. Journal of American Water Resources Association 39:563-573.
Peters, R. H. 1983. The Ecological Implications of Body Size. Cambridge University Press, Cambridge.
Peterson, G. D. 2000. Scaling ecological dynamics: Self-organization, hierarchical structure, and ecological resilience. Climatic Change 44:291-309.
Phillips, J. D. 1999. Earth Surface Systems: Complexity, Order and Scale. Blackwell Publishers Ltd., Malden, Massachusetts.
Pielke, R. A., and R. Avissar. 1990. Influence of landscape structure on local and regional climate. Landscape Ecology 4:133-155.
Poole, G. C. 2002. Fluvial landscape ecology: addressing uniqueness within the river discontinuum. Freshwater Biology 47:641-660.
Prothero, J. 1986. Methodological aspects of scaling in biology. Journal of Theoretical Biology 118:259-286.
Quattrochi, D. A., and M. F. Goodchild, editors. 1997. Scale in Remote Sensing and GIS. CRC Lewis Publishers, Boca Raton.
Raupach, M. R., D. D. Baldocchi, H.-J. Bolle, L. Dümenil, W. Eugster, F. X. Meixner, J. A. Olejnik, R. A. Pielke, J. D. Tenhunen, and R. Valentin. 1999. How is the atmospheric coupling of land surfaces affected by topography, complexity in landscape patterning, and the vegetation mosaic? Pages 177-196 in J. D. Tenhunen and P. Kabat, editors. Integrating Hydrology, Ecosystem Dynamics, and Biogeochemistry in Complex Landscapes. Wiley, Chichester.
Reynolds, J. F., and J. Wu. 1999. Do landscape structural and functional units exist? Pages 273-296 in J. D. Tenhunen and P. Kabat, editors. Integrating Hydrology, Ecosystem Dynamics, and Biogeochemistry in Complex Landscapes. Wiley, Chichester.
Rodriguez-Iturbe, I., and A. Rinaldo. 1997. Fractal River Networks. Cambridge University Press, New York.
Sailor, D., T. Hu, X. Li, and J. N. Rosen. 2000. A neural network approach to local downscaling of GCM output for assessing wind power implications of climate change. Renewable Energy 19:359-378.
Scheurer, D. L., D. C. Schneider, and L. P. Sanford. 2001. Scaling issues in marine experimental ecosystems. Pages 330-360 in R. H. Gardner, W. M. Kemp, V. S. Kennedy, and J. E. Petersen, editors. Scaling Relations in Experimental Ecology. Columbia University Press, New York.
Schmid, P. E., M. Tokeshi, and J. M. Schmid-Araya. 2000. Relation between population density and body size in stream communities. Science 289:1557-1560.
Schmidt-Nielsen, K. 1984. Scaling: Why Is Animal Size So Important? Cambridge University Press, Cambridge.
Schneider, D. C. 2001a. Spatial allometry. Pages 113-153 in R. H. Gardner, W. M. Kemp, V. S. Kennedy, and J. E. Petersen, editors. Scaling Relations in Experimental Ecology. Columbia University Press, New York.
Schneider, D. C. 2001b. The rise of the concept of scale in ecology. Bioscience 51:545-553.
Schoener, T. W., D. A. Spiller, and J. B. Losos. 2001. Natural restoration of the species-area relation for a lizard after a hurricane. Science 294:1525-1528.
Schroeder, M. 1991. Fractals, Chaos, Power Laws: Minutes from an Infinite Paradise. W.H. Freeman and Company, New York.
Schweitzer, F., editor. 1997. Self-Organization of Complex Structures: From Individual to Collective Dynamics. Gordon and Breach Science Publishers, Amsterdam.
Shmida, A., and M. Wilson. 1985. Biological determinants of species diversity. Journal of Biogeography 12:1-20.
Sposito, G., editor. 1998. Scale Dependence and Scale Invariance in Hydrology. Cambridge University Press, Cambridge.
Stanley, and H. E. P. Meakin. 1988. Multifractal phenomena in physics and chemistry. Nature 335: 405-409.
Tenhunen, J. D., and P. Kabat, editors. 1999. Integrating Hydrology, Ecosystem Dynamics, and Biogeochemistry in Complex Landscapes. Wiley, Chichester.
Turcotte, D. L. 1995. Scaling in geology: landforms and earthquakes. Proceedings of the National Academy of Science 92:6697-6704.
Turner, M. G., V. H. Dale, and R. H. Gardner. 1989. Predicting across scales: theory development and testing. Landscape Ecology 3:245-252.
Urban, D. L., M. F. Acevedo, and S. L. Garman. 1999. Scaling fine-scale processes to large-scale patterns using models derived from models: meta-models. Pages 70-98 in D. J. Mladenoff and W. L. Baker, editors. Spatial Modeling of Forest Landscape Change: Approaches and Applications. Cambridge University Press, Cambridge, UK.
Urban, D. L., R. V. O’Neill, and H. H. Shugart. 1987. Landscape ecology: a hierarchical perspective can help scientists understand spatial patterns. Bioscience 37:119-127.
Weller, D. E. 1987. A reevaluation of the -3/2 power rule of plant self-thinning. Ecological Monographs 57:23-43.
West, G. B., J. H. Brown, and B. J. Enquist. 1997. A general model for the origin of allometric scaling laws in biology. Science 276:122-126.
Whittaker, R. J., K. J. Willis, and R. Field. 2001. Scale and species richness: towards a general, hierarchical theory of species diversity. Journal of Biogeography 28:453-470.
Wilby, R. L., T. M. L. Wigley, D. Conway, P. D. Jones, B. C. Hewitson, J. Main, and D. S. Wilks. 1998. Statistical downscaling of general circulation model output: a comparison of methods. Water Resources Research 34:2995-3008.
Wilson, K. G. 1975. Renormalization group methods. Advances in Mathematics 16:170-186.
Woldenberg, M. J. 1969. Spatial order in fluvial systems: Horton’s laws derived from mixed hexagonal hierarchies of drainage basin areas. Geological Society of America Bulletin 80:97-112.
Wood, E. F. 1998. Scale analyses for land-surface hydrology. Pages 1-29 in G. Sposito, editor. Scale Dependence and Scale Invariance in Hydrology. Cambridge University Press, Cambridge.
Woodmansee, R. G. 1990. Biogeochemical cycles and ecological hierarchies. Pages 57-71 in I. S. Zonneveld and R. T. T. Forman, editors. Changing Landscapes: An Ecological Perspective. Springer-Verlag, New York.
Wu, J. 1990. Modelling the energy exchange processes between plant communities and environment. Ecological Modelling 51:233-250.
Wu, J. 1999. Hierarchy and scaling: extrapolating information along a scaling ladder. Canadian Journal of Remote Sensing 25:367-380.
Wu, J. 2004. Effects of changing scale on landscape pattern analysis: scaling relations. Landscape Ecology 19:125-138.
Wu, J., and J. L. David. 2002. A spatially explicit hierarchical approach to modeling complex ecological systems: theory and applications. Ecological Modelling 153:7-26.
Wu, J., and R. Hobbs. 2002. Key issues and research priorities in landscape ecology: an idiosyncratic synthesis. Landscape Ecology 17:355-365.
Wu, J., and S. A. Levin. 1997. A patch-based spatial modeling approach: conceptual framework and simulation scheme. Ecological Modelling 101:325-346.
Wu, J., and O. L. Loucks. 1995. From balance-of-nature to hierarchical patch dynamics: a paradigm shift in ecology. Quarterly Review of Biology 70:439-466.
Wu, J., D. Jelinski, M. Luck, and P. Tueller. 2000. Multiscale analysis of landscape heterogeneity. Geographic Information Sciences 6:6-19.
Zeide, B. 1987. Analysis of the 3/2 power law of self-thinning. Forest Science 33:517-537.
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WU, J., LI, H. (2006). PERSPECTIVES AND METHODS OF SCALING. In: WU, J., JONES, K.B., LI, H., LOUCKS, O.L. (eds) SCALING AND UNCERTAINTY ANALYSIS IN ECOLOGY. Springer, Dordrecht. https://doi.org/10.1007/1-4020-4663-4_2
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