The VFractal: a new estimator for fractal dimension of animal movement paths
作者： Vilis O. Nams
DOI: 10.1007/BF02059856
关键词: Path (graph theory) 、 Multifractal system 、 Mathematics 、 Fractal 、 Estimator 、 Fractal landscape 、 Fractal analysis 、 Algorithm 、 Fractal dimension 、 Spatial ecology
摘要: Fractal measurements of animal movement paths have been used to analyze how animals view habitats at different spatial scales. One problem has the absence error estimates for fractal d estimators. To address this weakness, I present and test 4 new estimators measuring dimension scales, along with their variation. The are based on dividing path into pairs steps, forming V's, then estimating various statistics from each V.
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B. T. Milne, Lessons from applying fractal models to landscape patterns Ecological studies. ,vol. 82, pp. 199- 235 ,(1991)
John A. Wiens, Thomas O. Crist, Bruce T. Milne, On quantifying insect movements Environmental Entomology. ,vol. 22, pp. 709- 715 ,(1993) , 10.1093/EE/22.4.709
B. Mandelbrot, How Long Is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension Science. ,vol. 156, pp. 636- 638 ,(1967) , 10.1126/SCIENCE.156.3775.636
Simon Benhamou, An analysis of movements of the wood mouse Apodemus sylvaticus in its home range Behavioural Processes. ,vol. 22, pp. 235- 250 ,(1991) , 10.1016/0376-6357(91)90097-J
Zhi-Qiang Zhang, John P. Sanderson, Spatial scale of aggregation in three acarine predator species with different degrees of polyphagy. Oecologia. ,vol. 96, pp. 24- 31 ,(1993) , 10.1007/BF00318026
Rudy Boonstra, Ian T. M. Craine, Natal nest location and small mammal tracking with a spool and line technique Canadian Journal of Zoology. ,vol. 64, pp. 1034- 1036 ,(1986) , 10.1139/Z86-153
J. R. Krummel, R. H. Gardner, G. Sugihara, R. V. O'Neill, P. R. Coleman, Landscape patterns in a disturbed environment Oikos. ,vol. 48, pp. 321- 324 ,(1987) , 10.2307/3565520
B. EFRON, R. TIBSHIRANI, Statistical Data Analysis in the Computer Age Science. ,vol. 253, pp. 390- 395 ,(1991) , 10.1126/SCIENCE.253.5018.390
T. O. Crist, D. S. Guertin, J. A. Wiens, B. T. Milne, Animal movement in heterogeneous landscapes : an experiment with Eleodes beetles in shortgrass prairie Functional Ecology. ,vol. 6, pp. 536- 544 ,(1992) , 10.2307/2390050
Natasha B. Kotliar, John A. Wiens, Multiple scales of patchiness and patch structure: a hierarchical framework for the study of heterogeneity Oikos. ,vol. 59, pp. 253- 260 ,(1990) , 10.2307/3545542