Stocking Density of Ducks on Pond

We have a 2 acre pond in our 20+ acre wetland that we will be utilizing for ducks. I'm wondering if anyone has experience with ducks on a large pond -- what would you suggest for stocking density? The ducks will be locked up at night and I will size that duck house accordingly. During the day the ducks will range as they please in our wetland, not sure how far they will explore in the 20 acres -- anyone have input for that as well? I realize it depends on a lot of different factors but we have to choose a number to get started with any input will be helpful. Thanks!

We are zone 5 ne Ohio.
Our ducks have a half acre pond and about three acres of surrounding pastures and gardens. We have six of them and I give them about two cups of chicken layer mash once a day to get them in their enclosure at night( because grain is like crack cocaine). I feel they get everything from the land they are on, I only give grain to get them to go where I want them ( I like having them in an electrified enclosure at night as they are most susceptible at this time).
They are khaki Campbell's and they give us beautiful eggs every day that are thick shelled with beautiful yolks.
It's hard to say if your conditions will be as conducive as ours to ducks but for now we are expanding our water retention spaces to suit as many ducks as we can fit on our land as their products are essentially free at this point.

I do not have a large pond, yet. I do have lots of ducks though and 20 acres, while nice, can still be left behind by wandering ducks. Many a time I've had to hop on my bike to get the ducks back onto our property, and we have 40 acres. They just get to wandering and off they go.

I think number of ducks is flexible-ish. They are nasty creatures. They can muck up a water source quick as can be. So I suppose I'd rather have too few ducks than too many for a pond area. The stench of an over populated pond is...... horrible.

Do you have a lot of vegetation and water plants in your pond to help with filtration? Fish? Crustaceans? Those would help with the duck poop filled pond issue.

I have no real numbers to offer but I suppose you could always get a bunch, see how the pond does and add or subtract as needed. I think it's more a balance of ducks to your particular pond. Your particular area. Your particular ability to filter out the duck crap. So it'll be an experiment for you. Have fun with it. Baby ducks are to die for adorable!