Similar chaotic features occur in all other experiments. Furthermore, they are not just an initial response, but rather continue throughout the integrations. The most plausible explanation of this phenomenon is as follows. The sudden change in κbκb in a region generates very fast waves: barotropic and baroclinic gravity waves, and barotropic Rossby and Kelvin waves. Although their amplitudes are small, they are still
large enough to perturb mesoscale eddies far from the original region of the κbκb change. Because of the eddies’ chaotic nature, their phases are altered appreciably even though their statistical characteristics are hardly affected, resulting Alisertib in appreciable pointwise differences in field variables between the test run and CTL. As a result, within ∼∼10 days mesoscale anomalies of both signs begin to appear in all dynamical variables (density, velocity, etc.) even in the farthest places from the origin. The amplitudes of these anomalies therefore tend to be large where eddies are strong. For example, the amplitude (as measured by the variance of v near the surface) of
Tropical Instability Waves (TIWs) is largest near 5 °°N in the eastern Pacific, and that is one region where δTSEδTSE is large in Fig. 3. To focus on large-scale features, we take temporal averages for the figures below to reduce the amplitudes of these eddy-like anomalies. Some of the figures below show not only remaining eddy-like anomalies but also front-like structures that are coherent in one spatial Atezolizumab direction. A comparison ATR inhibitor of the test run with the control run suggests that the latter are due to slight shifts in the positions of striations. If the striations are driven by eddies, these shifts may be due to slight changes in eddy statistics, but details are not clear. In each experiment, the initial, large-scale response of the temperature and salinity fields to the increased background diffusivity can be described by equation(7) δqe,t≈δκb,eq0zz,where q is either temperature or salinity, q0≡qCTLq0≡qCTL, and the subscripts t and z denote partial derivatives. Eq. (7) follows from an integration
of the temperature or salinity equation that retains only vertical diffusion and assumes that ∣δκbq0zz∣≫max(∣κ0δqzz∣,∣δκbδqzz∣). To assess how well this process explains the early response of a sensitivity experiment, we compute a mean q field that would result from vertical diffusion alone over time ΔtΔt, assuming that q0q0 is stationary, as equation(8) q‾e=q0+δ‾qe,δ‾qe≡δκb,eq‾0zz×Δt/2,where the overbar indicates an average over ΔtΔt. Fig. 4a compares δ‾ρFB averaged over year 1 (left panels) with the density anomaly that results from applying (8) to temperature and salinity with Δt=1Δt=1 year (right panels), showing sections across the equator (top panels), along 13 °S (middle panels), and along 17 °N (bottom).