Acta Biotheoretica 54 (1):1-11 (2006)
It is difficult to watch wild animals while they move, so often biologists analyse characteristics of animal movement paths. One common path characteristic used is tortuousity, measured using the fractal dimension (D). The typical method for estimating fractal D, the divider method, is biased and imprecise. The bias occurs because the path length is truncated. I present a method for minimising the truncation error. The imprecision occurs because sometimes the divider steps land inside the bends of curves, and sometimes they miss the curves. I present three methods for minimising this variation and test the methods with simulated correlated random walks. The traditional divider method significantly overestimates fractal D when paths are short and the range of spatial scales is narrow. The best method to overcome these problems consists of walking the dividers forwards and backwards along the path, and then estimating the path length remaining at the end of the last divider step.
|Keywords||Philosophy Philosophy of Biology Evolutionary Biology|
|Categories||categorize this paper)|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Explicitly Accounting for Pixel Dimension in Calculating Classical and Fractal Landscape Shape Metrics.Attila R. Imre & Duccio Rocchini - 2009 - Acta Biotheoretica 57 (3):349-360.
Describing the Shapes of Fern Leaves: A Fractal Geometrical Approach.Richard D. Campbell - 1996 - Acta Biotheoretica 44 (2):119-142.
Fractal Transition Steps to Fractal Stages: The Dynamics of Evolution, II.Sara Nora Ross - 2008 - World Futures 64 (5 - 7):361 – 374.
Fractal Geometry—the Case of a Rapid Career.Michal Tempczyk - 1996 - International Studies in the Philosophy of Science 10 (1):53 – 65.
On the Existence and the Role of Chaotic Processes in the Nervous System.B. Doyon - 1992 - Acta Biotheoretica 40 (2-3):113-119.
Ideas in Theoretical Biology - Comment About the Fractality of the Lung.A. Imre - 1999 - Acta Biotheoretica 47 (1):79-81.
The Fractal Dimension as a Measure of the Quality of Habitats.A. R. Imre & J. Bogaert - 2004 - Acta Biotheoretica 52 (1):41-56.
Added to index2009-01-28
Total downloads8 ( #484,168 of 2,153,478 )
Recent downloads (6 months)1 ( #399,083 of 2,153,478 )
How can I increase my downloads?