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. 2015 Nov 6;12(112):20150647. doi: 10.1098/rsif.2015.0647

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© 2015 The Author(s)

Published by the Royal Society. All rights reserved.

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Figure 2. — Translation from circular datasets to macroscopic terms for (top) unbiased and (bottom) biased populations. (a) Datasets, with each angular entry indicated by an arrow; (b) von Mises distribution (3.3) and its two defining parameters; (c) advective velocity (a) and diffusion tensor () representations, calculated from equation (3.4); (d) simulations of equation (2.3). For simulations, we plot the contour line of constant density (=10⁻⁴) at successive times for a population initiated at the origin. (Online version in colour.)

Inline graphic — Translation from circular datasets to macroscopic terms for (top) unbiased and (bottom) biased populations. (a) Datasets, with each angular entry indicated by an arrow; (b) von Mises distribution (3.3) and its two defining parameters; (c) advective velocity (a) and diffusion tensor () representations, calculated from equation (3.4); (d) simulations of equation (2.3). For simulations, we plot the contour line of constant density (=10⁻⁴) at successive times for a population initiated at the origin. (Online version in colour.)