How is that a man-made action and not just a natural cycle of slowdown of growth of vegetation and other life in the ocean? Perhaps its man causing this but how can we say for sure? I don't see how C13 alone points to man and not just another natural process. Again, just like other environmental issues, man could be the cause but there is no definitive proof. Nor is there any proof that man can do anything about it. If we caused it, then yes, by all means stop anything that might add to it, but there is no way to prove any amount of money is going to reverse it.
1. Radioactive isotopes have a known half life. This gives a rough age for all the carbon in the atmosphere.
2. Natural sources of old carbon are fairly rare, so we can assume that most of the old carbon added to the atmosphere is of human origin. This can also be roughly checked by calculation, as we have a fair handle on how much coal, natural gas, etc. is released through human activity, so we aren't likely to miss a significantly large natural source of old carbon.
3. CO2 diffuses into water as a fairly straightforward function of temperature and salinity/harness versus atmospheric CO2 concentration. Calculating the actual amount of CO2 contained is horrendously complicated as you no doubt know, depending upon convection currents, temperature stratification, and biological processes, but it remains roughly proportional to atmospheric CO2 concentration because relatively speaking the sea is empty while having near-ideal mixing mechanisms. When atmospheric CO2 concentration increases, oceanic CO2 concentration increases. If man increases atmospheric CO2 concentration, then man increases oceanic CO2 concentration. The amount by which oceanic CO2 concentration lags (or leads) atmospheric CO2 concentration depends on some very complicated factors and thus varies in different areas, but as a whole this relationship is remarkably linear for such a vast and complicated system. Given the isotope tags and the reasonably good correlation to calculated production and concentration, I don't think it can be argued that this is not a man-made phenomenon, and while there are certainly feedback loops to control this CO2 spike, other man-made stressors are probably limiting their effectiveness. I don't think the Earth or the oceans are at risk of mass extinctions, but both can certainly be degraded, especially from our point of view. I don't think marine life in general cares whether a given biomass is in decapods or isopods, but I for one don't fancy frying up a mess of giant breaded ocean cockroaches or set up an aquarium of wild-caught tropical reef cyanobacteria.
On paper this increase is good because CO2 is often the limiting factor and thus the seas become more productive, but there are also a number of things that are bad about it. Many delicate creatures and ecosystems are already stressed by other factors such as siltation and pollution, and when a creature is stressed it may be unable to take advantage of a greater food supply. Dissolution of metals is increased as water acidifies, and while this can be beneficial (adding micronutrients which may themselves be limiting factors) a number of metals such as cadmium, nickel, lead, zinc, and even copper can be toxic in very small doses which limits productivity.
Some of our most productive marine environments are shallow warm water reefs, and CO2 is often scarce there, but productivity is so high that micronutrients are generally the limiting factor. Creatures here are adapted to very stable environments and in addition to the other stressors, the very acidity stresses them. Reef-building corals themselves are stressed by high acidity.
Even creatures which are highly tolerant of a range of acidity/salinity may be adversely affected. Because of nutrient enriched runoff, coastal zones typically are highly productive. That productivity can actually be counter-productive (pun intended) because as primary producer populations grow, so must their decay products. Primary producers typically give off more oxygen than they consume, but must be either eaten or scavenged. Where more primary producers grow than can be consumed, their unconsumed bodies sink to the bottom to be consumed by bacteria. In oceans, outside the littoral zone most primary producers are pelagic, but most scavenging bacteria are benthic or demersal. As these bacterial populations explode, they use up all the available oxygen, leading to dead zones which can sometimes be bigger than most states. Where higher order creatures exist at all, they are those which can exist in highly degraded habitats, and these tend to not be useful to humans or to most sea fauna. Worse, many of the scavenging bacteria which flourish in such degraded habitats reduce sulfur and/or nitrogen compounds to get the oxygen necessary to survive, which further toxifies and acidifies marine ecosystems. None of this is good.