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A thorough analysis of the stability of the uncoupled Rooth interhemispheric3-box model of thermohaline circulation (THC) is presented. The model consistsof a northern high latitudes box, a tropical box, and a southern high latitudesbox, which respectively correspond to the northern, tropical and southernAtlantic ocean. We adopt restoring boundary conditions for the temperaturevariables and flux boundary conditions for the salinity variables. We study howthe strength of THC changes when the system undergoes forcings that areanalogous to those of global warming conditions by applying to the equilibriumstate perturbations to the moisture and heat fluxes into the three boxes. Ineach class of experiments, we determine, using suitably de- fined metrics, theboundary dividing the set of forcing scenarios that lead the system toequilibria characterized by a THC pattern similar to the present one, fromthose that drive the system to equilibria with a reversed THC. Fast increasesin the moisture flux into the northern high-latitude box are more effectivethan slow increases in leading the THC to a breakdown, while the increases ofmoisture flux into the southern high-latitude box strongly inhibits thebreakdown and can prevent it, in the case of slow increases in the NorthernHemisphere. High rates of heat flux increase in the North Hemispheredestabilize the system more effectively than low ones, and increases in theheat fluxes in the Southern Hemisphere tend to stabilize the system.Comment: 29 pages, 9 figure

Thermohaline Circulation Stability: A Box Model Study. Part I: Uncoupled Model