Table 2.

Swimming statistics for the four oceanic whitetip sharks.

Shark	Duration (s)	〈v〉 (m/s)	〈vx〉 (m/s)	〈ϖ2〉	〈γ2〉	〈(dγ/dt)2〉 (1/s2)
OWT1	218428	0.66	0.66	0.035	0.014	5 10−4
OWT2	43932	0.74	0.73	0.010	0.021	5 10−4
OWT3	134977	0.76	0.75	0.029	0.014	2 10−4
OWT4	118001	0.63	0.63	0.010	0.005	9 10−5

Being based on the second derivative of depth, the values of 〈(dγ/dt)²〉 are sensitive to the number of points used in estimation of the derivative. The values found in the table are based on differentiating a running 11-point parabolic fit of the depth. Doubling the number of points reduces 〈(dγ/dt)²〉 eight-fold. Typical values of 〈v_x〉²/a² that multiply 〈(dγ/dt)²〉 in (27) are bounded between 8 and 32, depending on the sinking factor.