The fundamental problem is that the earth was in a balance, with regards to carbon; a bunch was trapped in biomass, and cycled through the carbon cycle [1]. Then humanity did two things; we destroyed a lot of carbon stores (with agriculture, deforestation and setting off soil erosion), and (more importantly) dug up and released even more carbon into the carbon cycle. It will not be enough for us to only trap it in biomass, we need to permanently remove it from the cycle.
We definitely need to do both, and storing carbon in biomass is probably more cost-effective currently, but if we're going to restore the balance, we'll need more than biomass.
Nit pick but, is there anything that says the earth isn't or won't be at a balance?
Sure, climate change will be hugely impactful, especially for humans, but I figure the earth will still be in balance, just not the one we are used to.
Maybe if you want to remove the carbon permanently, creation of synthetic polymers like plastics and things similar in composition to oil might be the trick.
I guess we could create synthetic polymers and store them, but the scale of the problem is just so insanely massive. We'd need a place to store all that plastic (I don't even know where to begin to do the math, but we use around 10 gigatons of carbon each year [1] so it would take up some amount of space), and we'd also have to hope that bacteria won't develop that can digest it
[1] https://www.wri.org/insights/co2-emissions-climb-all-time-hi...
I wonder how fast the carbon was sequestered to produce oil in the natural process. We don't know how much oil there is in the ground, so we really can't tell how much faster we are releasing it than it was captured. I wonder if there's data on the effect on the biosphere from that process and some other way to gauge the speed and also total carbon that has been sequestered naturally to create oil and gas.
https://www.facebook.com/climeworks/posts/we-often-receive-q...
The short version is: We should be doing all the things. Growing trees is cost-effective but requires a lot of land and water, which we don't have infinite supplies of.
That leaves basically two solutions; capture the carbon from the air, which takes a lot of energy, or ship it with tankers. The first is being done (at a small scale) and the second is being worked on.
In an ideal world, we wouldn't have power plants that release carbon, but that's another discussion :)