From: Correlated velocity models as a fundamental unit of animal movement: synthesis and applications
Authors | Nomenclature | Parameterization | Application | Comments | |
---|---|---|---|---|---|
1 | Dunn and Brown 1987 [32] | α - white noise spectrum | General cell motility | ||
β - relaxation term | |||||
2 | Alt 1990 [15] | T - persistence time | Unicellular organisms and individual cells | ||
ω - mean angular speed | |||||
μ - mean advective speed | |||||
\(\sigma _{V}^{2}\) - variance of velocity | |||||
3 | Brillinger and Stewart 1998 [34] | - | β - dynamical friction | Elephant seal (Mirounga angustirostris) | Spherical coordinates |
σ - Brownian motion variance term | |||||
δ- speed of attraction to center | |||||
4 | Johson et al. 2008 [12] | Continuous Time | γ - drift term | Northern fur seal (Callorhinus ursinus) | R package crawl [18] with state- |
McClintock et al. 2014 [3] | Correlated Random Walk | β - autocorrelation parameter | Harbor seal (Phoca vitulina) | space observation error | |
(CTCRW) | σ - white noise variance term | ||||
5 | Gurarie et al. 2011 [14] | Correlated Velocity | τ _{ a },τ _{ o } - characteristic time scales ^{∗} | Dinoflaggelate (Heterosigma akashiwo) | [15] adapted to 3D helical movement: |
Helical Movement | σ _{ a },σ _{ o } - white noise term variance ^{∗} | * - a and o refer to advective and | |||
(CVHM) | μ - 3-D mean velocity | oscillatory components, respectively) | |||
ω - mean angular speed | |||||
6 | Gurarie and Ovaskainen 2011 [9] | Correlated Velocity | τ - characteristic time scale | Encounter rate theory | |
Gurarie and Ovaskainen 2013 [16] | Movement (CVM) | σ - characteristic spatial scale | |||
ν - mean tangential speed | |||||
7 | Zattara et al. 2016 [33] | CVM | τ and ν as above | Regenerating cells in Pristina leidyi | |
8 | Calabrese et al. 2016 [17] | Integrated Ornstein- | τ _{ v } - time scale of velocity autocorrelation | Presented as limiting case of OUF model [13] | R package ctmm [19] |
Uhlenbeck (IOU) |