Geese Deterrents
Living next to a pond in Pa. I can relate. We are in an HOA community.
Geese were not only a nuisance but a source of contamination as well.
They would congregate on the front lawn and even on the driveway making it impossible to avoid tracking green goose poop into the garage.
Following numerous failed deterrents we are finally rid of them, fingers crossed.
What worked? The grass and wildflowers around the pond were allowed to grow high eventually forming a 4-foot wide circular barrier. Geese no longer frequent the pond because they're deprived of a line of sight that allows them to detect predators.
At the same time the HOA hired a "goose patrol" service that visits several times weekly and releases a border Collie if they spot any geese. I don't know the cost of the goose patrol, the HOA covers the cost because many other homes are affected by the geese.
I don't know whether one of the above solution accounts for the success or if it is a combination of the two. Since you have to bear the expense simply not mowing around the pond is obviously the lower cost. Dogs like to chase geese so might consider the possibility of getting a pet. Geese will learn quickly to avoid your property
To perhaps save you the trouble here are approaches that were not successful:
Spray geese with high pressure hose, fake alligator in the pond, loud sound effect of barking dog, scare geese with a drone, firecrackers to irritate them, floating strobe light in the pond, chase them and scream like an unhinged mad man (works temporarily and entertains the neighbors).
A hose-end goose repellent spray from Liquid Fence is said to be effective, I haven't tried it but it would be relatively low cost approach that you might try first.
Geese in a V-formation in the autumn sky are beautiful sight, geese pooping on your property....not so much.