caa a22 4500 46574012X CHVBK 20180323111807.0 cr unu---uuuuu 170327e19900301xx s 000 0 eng 10.1007/BF02368424 doi (NATIONALLICENCE)springer-10.1007/BF02368424 Fractal descriptions for spatial statistics [Elektronische Daten] [R. King, L. Weissman, J. Bassingthwaighte] Measures of spatial statistics have been available for estimating means, calculating or assessing differences, estimating nearest neighbor distances, and such, but have not provided a general approach to describing variances. Because measures of heterogeneity depend upon choosing a particular element size in the domain, estimates of apparent heterogeneity are larger with high-resolution observations than with low-resolution data. Many descriptors might be used to describe the relationships between apparent heterogeneity and the size of the observed spatial elements, but we have found that fractal relationships provide concise and precise descriptions of many types of data over large ranges of element sizes. Perhaps more importantly, the fractal approaches give additional insight, such as measures of spatial correlation, and often suggest ways of approaching the underlying basis of the heterogeneity. Pergamon Press plc, 1990 Chaos nationallicence Heterogeneity nationallicence Vascular branching nationallicence Regional blood flow nationallicence Spatial correlation nationallicence Nearest neighbor distances nationallicence King R. Center for Bioengineering, University of Washington WD-12, 98195, Seattle, WA aut Weissman L. Center for Bioengineering, University of Washington WD-12, 98195, Seattle, WA aut Bassingthwaighte J. Center for Bioengineering, University of Washington WD-12, 98195, Seattle, WA aut Annals of Biomedical Engineering Kluwer Academic Publishers 18/2(1990-03-01), 111-121 0090-6964 18:2<111 1990 18 10439 https://doi.org/10.1007/BF02368424 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02368424 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- King R. Center for Bioengineering, University of Washington WD-12, 98195, Seattle, WA aut NATIONALLICENCE 700 1- Weissman L. Center for Bioengineering, University of Washington WD-12, 98195, Seattle, WA aut NATIONALLICENCE 700 1- Bassingthwaighte J. Center for Bioengineering, University of Washington WD-12, 98195, Seattle, WA aut NATIONALLICENCE 773 0- Annals of Biomedical Engineering Kluwer Academic Publishers 18/2(1990-03-01), 111-121 0090-6964 18:2<111 1990 18 10439 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer