Looking at your question from a very broad point of view: Both of those knives are very long and heavy, so this will become a factor in how useful they are, and how often they are carried.
Other info that is needed to help you decide: What environment are you going to be in (desert, jungle, far north boreal forest)
What are your expected uses: Firewood processing, shelter building, trap making etc.
From my point of view, they are both bigger than they need to be for more delicate tasks, making those tasks more difficult, while not being big enough to replace an ax, hatchet or machete in many environments. This is where your location is going to important. Are you planning on carrying this knife with a companion tool? What duration of situation are you considering to be likely? This is going to come down to a personal experience equation. If your personal experience has shown you that a heavy bowie type knife is ideal for your environment and uses, what knives brought you to that decision, and what were their faults?
To answer your final question, the toughness will be comparable. The Bark River has a much thicker though harder blade, where the laminated blade of the Falkniven is going to provide for a bit more flex before breaking. You could certainly break both if you tried hard enough, I suspect the Bark would wear you out a lot more in that process, but a 7mm thick blade is going to also mean every task takes a bit more effort.
Having a bit more background is going to help others provide more feedback. There are a lot of folks here who are in that "big knife is best" frame of reference, and they will be able to share their experiences with more context if they know how you got to your point of view.