Dave, trickle lines would not work here. Exterior water pipes for our homes need to buried 2.4 meters/8 feet deep.
You could not plumb a pond for that.
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Mitch I dont bury any lines just use a hose connected to my dechlorinator unit for the duration of the water change that takes around 4 hours , then everything i taken down the hose removed to the shed to prevent freezing and the same with the decholinator as such I dont trickle water 24/7 and do a weekly 30-40 % waterchange by twice draining the 32" vortex pre filter.
The rest of my filters are cleaned in late autumn and are heavily supplied with air throughout te winter snug in the insulated filter housing that is roofed by quad thickness policarbonate roofing .
OK so we dont get -40c infact no where near that but the outside air temperature still gets down to -15c ,
Under the policarbonate roofing covering the pond we record a constant temperature of roughly 7c the bottom drain aireator is closed to near a trickle of air only .
At -40c personally I would do as my Canadian friend Elaine does moves everything indoors until the spring , the result from constant koi losses to no koi losses and an indoor temperature she maintains at 11c .
When she had them outdoors we found that the koi's gills were all but fried by the intense cold and if they did survive the winter months they couldn't survive as the temperature rose to that of normal because only a small bit of gill remained with the rest destroyed by the cold , so you could say they suffercated.
Koi do not like long hard winters they come from a country that has short but sharp ones
Dave