Table 6. Hot and cold track step lengths show different MLE distribution fits.
Hot tracks tend to be faster than cold tracks and more Brownian in their movement pattern. The high kurtosis and skew is due to a long tail in the distribution of step lengths belonging to tracks that do not visit hotspots. For hot tracks, skew is 1.45 and kurtosis 6.74; for cold tracks skew is 11.12 and kurtosis 136.
| Hot Tracks | Cold Tracks | |||||
|---|---|---|---|---|---|---|
| Distribution | -log Likelihood (×105) | MLE Parameters | -log Likelihood (×105) | MLE Parameters | ||
| Lognormal | 1.29 | 0.671 | 0.752 | 1.85 | 0.819 | 0.583 |
| Gaussian | 1.405 | 2.504 | 1.72 | 4.22 | 4.53 | 22.3 |
| Maxwell | 1.48 | 3.077 | 8.24 | 171 | ||
| Power Law | 2.96 | 2.65 | 1.21 | |||