Indicated the problem was not the type of plant but other nutrients the plant needed to process the Carbon. It is the shortage of these other Nutrients (Most iron) that is the restriction.
The lack of usable iron appears to be the reason for the large "Ocean Deserts" in the southern Pacific and Indians Oceans. The Southern Ocean is rich in minimals, but the Southern Ocean's circulations system keeps those Nutrients near Antarctica and out of the deserts of the Pacific and Indian oceans. Nutrients from the other land masses are just consumed before any can reach these deserts.
Thus you have a huge area of the Ocean Surface with no Algae, even through it has water and sunlight and everything else needed for Algae to use sunlight and water to fix carbon.
See the following for details on iron and Carbon Cycle:
http://www-ocean.tamu.edu/education/oceanworld/ocean401/ocng401_course_schedule.html"Why phytoplankton need Fe (iron):
Phytoplankton require very small amounts of Fe for survival and growth. Fe is required for efficient photosynthesis, as photosystem II requires 2 atoms of Fe. In low dissolved Fe conditions inactivation of photosystem II can be as high as 50%. This leads to a marked reduction in efficiency with which light is photochemically converted to chemical energy. Fe is also required by a number of enzymes including nitrate reductase which is used to reduce NO 3 to a form that can be used by the cell. In cells with an adequate Fe supply the ratio of cell carbon:cell Fe is approximately 10 000:1, in comparison to a ratio of 100 000:1 when Fe is limiting growth."
http://www.rsnz.org/education/alpha/alpha106/alpha-106.htmOther references:
http://www.princeton.edu/~cebic/c-cycle.html