Skip to main content
Advertisement
Browse Subject Areas
?

Click through the PLOS taxonomy to find articles in your field.

For more information about PLOS Subject Areas, click here.

< Back to Article

Probabilistic models of individual and collective animal behavior

Fig 7

Motion of two fish in a circular shallow water tank.

(A) Each fish is characterized by a position (x, y), velocity v, orientation θ and acceleration a. (B) Diagram of behavioral state transitions for the two fish with interaction. (C-D) A time window of length 1000 s shows the velocity and orientation of one fish (second fish not shown) from the data in [12]. The trajectory shows alternating regions of acceleration (blue = turning left, red = turning right) or deceleration (no shade), consistent with the states marked in B. (E) Velocity traces in the accelerating phase (data from C), shifted to the same initial value, have a sigmoidal functional form. Acceleration can be fitted empirically to a quadratic function, d|v|/dt = −a|v|2 + b|v| + c where . This is shown in (F) for data containing 3000 accelerating intervals. Data from each accelerating window (dotted green) is fitted separately and then shifted and rescaled to a normal form |a| = −|v|2 (black). (G) Passive state shows an exponential decay of the velocity due to friction, evident by rescaling decelerating trajectories to the same initial value and plotting them on a log-linear scale.

Fig 7

doi: https://doi.org/10.1371/journal.pone.0193049.g007