Pending an appropriate scaling of each trajectory by its Lagrangian in
tegral timescale T-L, there exists a generic shape of the Lagrangian f
requency spectrum for the trajectories of the 700-m dataset in western
North Atlantic, which are stationary on the timescale of 200 days. Th
e generic spectral shape contains a plateau at the lowest frequencies
extending up to nu(0) similar to (30T(L))(-1), a power-law behavior wi
th an intermediate spectral slope alpha = 0.25 between nu(0) and nu(1)
similar to (3 similar to 4T(L))(-1), and a sleeper slope n greater th
an or equal to 3 at larger frequencies. Such a steep slope at large fr
equencies implies that most of Lagrangian dispersion can be ascribed t
o low and intermediate frequency motions. The variance of the Lagrangi
an acceleration computed from such a spectrum is finite, indicating co
ntinuous particle accelerations and supporting a truly Lagrangian beha
vior of the 700-m floats. The existence of an intermediate power-law b
ehavior in the spectrum can be linked with the trapping of some trajec
tories by persistent energetic structures and is associated with a ten
dency for anomalous diffusion lasting up to 10T(L). The authors also i
ntroduce an alternative method for computing T-L from a yardstick meas
ure of Lagrangian decorrelation length from each individual trajectory
.