Arika, something I believe might disprove your theory about team size effecting is the fact that my team has 92 members. I'd say about 50~75% of them are quite active, as well. Yet... our tree hasn't dried up yet, and we've not watered it once.
This makes me believe that accepting buffs from the tree will hasten the rate at which water depletes. I don't know how many of my members are actively accepting the tree's buffs. If yours are grabbing those buffs quite often, that might be why you ran out of water so quickly. It might not happen as soon as they take the buffs, because, as many have said, accepting the buffs seems to hasten the amount the tree depletes per "tick" (or over time, whichever), not deduct an instantaneous, set amount of water.
Either way, it's been nearly a week, now, and our tree has yet to run dry. Just figured I'd share so we could try to put the pieces together and figure this out.
On another note, we ranked up another buff, and still no visible tree growth. I'm beginning to believe it's either that a single parameter has to be maxed before it grows (this would mean it would grow a total of 7 times, 'cause there's 7 effects to rank up) or it grows one time per X number of rank ups, regardless of which ones they are.
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