I think one problem with this is that there is only so much land/sea on earth. Once all available land is forested you have completely maxed out this option. Then when a tree dies and falls over most of its carbon begins to be released back into the atmosphere by decomposing organisms so you are reliant on another tree taking its place to maintain status quo. Same for any biological solution (algae dies/eaten -> carbon released).
I think one problem with this is that there is only so much land/sea on earth. Once all available land is forested you have completely maxed out this option. Then when a tree dies and falls over most of its carbon begins to be released back into the atmosphere by decomposing organisms so you are reliant on another tree taking its place to maintain status quo. Same for any biological solution (algae dies/eaten -> carbon released).