Plants add water to the atmosphere though

Plants, help water get into the atmosphere through a process called transpiration. After absorbing water from the ground, plants “sweat” water vapor through their leaves to stay cool. Water can also get into the atmosphere from snow and ice.

if the hares very faster than they are now, and thus the lynx's hunting success rate drops because it will be harder to catch them, the rate that will change will be the pray-rate. the pray-rate will change because more hares will be able to survive, thus more individuals for reproduction, so the end result will be increasing population of hares.

the predator-rate will remain pretty much the same because there will be more than enough pray, but the hunting success rate is stagnant.