David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Acta Biotheoretica 54 (1) (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||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Gerald J. Massey (1990). Semantic Holism is Seriously False. Studia Logica 49 (1):83 - 86.
A. Imre (1999). Ideas in Theoretical Biology - Comment About the Fractality of the Lung. Acta Biotheoretica 47 (1).
B. Doyon (1992). On the Existence and the Role of Chaotic Processes in the Nervous System. Acta Biotheoretica 40 (2-3).
Michal Tempczyk (1996). Fractal Geometry—the Case of a Rapid Career. International Studies in the Philosophy of Science 10 (1):53 – 65.
Sara Nora Ross (2008). Fractal Transition Steps to Fractal Stages: The Dynamics of Evolution, II. World Futures 64 (5 - 7):361 – 374.
Richard D. Campbell (1996). Describing the Shapes of Fern Leaves: A Fractal Geometrical Approach. Acta Biotheoretica 44 (2).
Attila R. Imre & Duccio Rocchini (2009). Explicitly Accounting for Pixel Dimension in Calculating Classical and Fractal Landscape Shape Metrics. Acta Biotheoretica 57 (3).
A. R. Imre & J. Bogaert (2004). The Fractal Dimension as a Measure of the Quality of Habitats. Acta Biotheoretica 52 (1).
Added to index2009-01-28
Total downloads2 ( #336,572 of 1,096,702 )
Recent downloads (6 months)1 ( #271,187 of 1,096,702 )
How can I increase my downloads?