Also, if public ownership of these sort of things was done away with, which I expect Jakob would advocate, while some rivers would be owned wholly by one person, more usually, you would find different sections owned by different interests, which means whoever owns the river furthest upstream would just dam it and divert it into pipes and sell the water, so there wouldn't actually be any rivers.
Which would solve the problem of people dumping waste into them I guess?
River transport would be over very quickly with the tolls you'd have to pay to cross each owners section of river, even if the river wasn't dammed up, so that's gone either way, and if there's no transportation, and since dumping stuff into the river is what we are trying to avoid then I guess the USA would be better off without rivers.
Not to mention the cost of land transport, with no public roads, you'd be spending more time in toll gates than driving, until the larger businesses bought up all the roads. which would bring the costs down to whatever makes them the most money, but would allow the most incredible anti-competitive moves, like refusing to allow competitors to use any of your roads etc, while not a big deal if theres lots of competiton, lots of competition here results in paying 50 different companies a day just to commute to work. That's what happens if you privatise natural monopolies.
Lakes etc. could also be pumped into reservoirs (where all that potentially valuable water would not just evaporate!) and then the water could be stored and sold, Every time the rain stopped for a bit the water barons would make millions, they could destroy any farmer or business at will, by refusing to sell them water at critical times, this would lead to businesses creating their own wells, and rain catching systems to avoid the high water prices which would lead to the water barons building their own wells to try to lower the water table to stop people getting free water.
Like most times you think through the potential consequences of libertarian/anarcho-capitalist ideology, you seem to end up with monopolies, and higher costs for everything.