XFrequentist comments on Taking Ideas Seriously - Less Wrong
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Why is biodiversity important?
Protection from disease When there are a variety of species, a single pathogen is less likely able to ravage an ecosystem.
Protecting minority humans A species of negligible value to a dominant society may be of critical value to a marginal society.
Protection of sentient species Some endangered species are capable of learning language. Some humans are not. I typically value worth on a combination of mental traits. Some animals are capable of holding jobs. Some humans are not. Many people often value worth by productivity. Some animals are more valuable than some humans.
Natural history DNA is subject to statistical analysis. This analysis can provide insight into previous environments and the adaptations needed to survive them. Humans may have a future use for a solution already encoded by another species.
Undiscovered potential Most models would place a non-negligible value upon an unknown self-replicating organism that has been adapted to the modelers environment after several million generations. At the very least, identification, classification, and understanding would be attempted before placing a value.
Value from scarcity Economics. As supply decreases, cost increases.
Ethics Treat others as you would have yourself be treated. Don't afflict others with the negative consequences of your actions. Protect the oppressed. Be a good neighbor. Share. Improve your environment for the next visitor. Because you may be judged by the rules you apply to others.
It is good to reconsider our memes, but for me biodiversity passes. I've tried to keep this brief in order to maintain clarity.
Interesting, I just had a chat about this hypothesis with a Lyme disease expert. Lyme is apparently held up as the best example for this argument, but field data and mathematical modeling indicate that it isn't true (I could probably dig up the relevant paper if you're interested, but I haven't read it).
I don't know for sure about other zoonotic diseases in wildlife, but I don't think this is certain enough to just be stated as fact.
Your other points seem worthy of consideration, but on the whole it seems the marginal benefit of a member of this crowd worrying about biodiversity, while not utterly negligible, is small.