There are plenty of estimates on salt marshes, mangroves and seagrass meadows. I am more interested in the contribution of algal forests, such as kelp or fucoides. 

I was able to find estimates by:

S. V. Smith,  1981 - Marine macrophytes as a global carbon sink.

Gattuso et al., 1998 - Carbon and Carbonate Metabolism in Coastal Aquatic Ecosystems

Is there anything more current? 

I also found a book chapter by Middelburg et al, 2005 that has respiration rates only.. 

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