Mean squared displacement and sinuosity of three-dimensional random search movements

Correlated random walks (CRW) have been used for a long time as a null model for animal's random search movement in two dimensions (2D). An increasing number of studies focus on animals' movement in three dimensions (3D), but the key properties of CRW, such as the way the mean squared displacement is related to the path length, are well known only in 1D and 2D. In this paper I derive such properties for 3D CRW, in a consistent way with the expression of these properties in 2D. This should allow 3D CRW to act as a null model when analyzing actual 3D movements similarly to what is done in 2D

• Publication year

  2018

• Venue

  arXiv: Other Quantitative Biology

• Publication date

  2018-01-08

• Fields of study

  Biology, Mathematics

• Identifiers
  arXiv 1801.02435
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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