4 (mostly in calm seasons) to values very close to 1 ( Figure 4). The cumulative probability P¯(n) reaches an asymptotic value (ca 0.67) after the first half-year of simulations and reveals only very moderate variations (ca ± 0.03) after about two years of calculations. Consequently, the
integral features of this probability are apparently established within a few years, and later variations in their values are fairly minor. The temporal course of the mean particle age A (k ) is, as expected, largely in antiphase DAPT mouse with the above probability and also reveals a clear seasonal cycle ( Figure 5). The relative variations in the values of both quantities have almost the same range (the maximum values are about three to six times as large as the minimum ones). The largest selleck chemicals llc probabilities occur roughly simultaneously with the smallest particle age during autumn and winter storms. These extremes apparently reflect very large velocities of the Ekman drift during stormy periods. The cumulative average particle age A¯(n) also reaches a more or less constant value of ca 5.3 days after a couple of years of simulations. Interestingly, the temporal course of these quantities is very similar for all simulations with different horizontal resolutions (Figures 6, 7). Somewhat unexpectedly, the seasonal variation in the difference is almost missing
for the probability, Astemizole whereas it is quite weakly present for the particle age (Figure 7). The small difference between the spatially averaged results obtained at different resolutions can be easily verified by treating time series P(k) and A(k) as sequences of random variables and applying standard statistical methods in order to characterize their match ( Table 1). The time series of the mean probability and particle age, averaged
over all trajectories within a time window, show a very high correlation (0.98 for the 1 nm and 0.5 nm simulations) and small bias, mean and root-mean-square deviation, and also a very low level of spread. Moreover, the standard deviations for these fields calculated with respect to their average values are quite close for different resolutions (Table 2). This suggests that the variations in these fields with respect to the mean values have, on average, a similar structure. This harmony suggests that the spatially averaged values of the probability and particle age are largely independent of the particular resolution (provided, of course the resolution is fine enough to reproduce the basic dynamic features of the water body in question). Therefore, the quantities in question are to some extent similar to certain scalar fields such as salinity and temperature that also are well represented by eddy-resolving models starting from a 1 nm resolution.