It really comes down to what you're trying to achieve. If it's economic, it's going to be hard to make a case for running a heat pump vs. a gas furnace in Alberta unless gas prices spike significantly (but then your electricity rates will also likely be higher).
If it's environmental, then there might be a case, at least in the longer term. To produce a kWh of heat, a 95% efficient gas furnace emits about 195 grams of CO2. I don't know Alberta's current emissions from electricity, but in 2019 it was 620 grams per kWh. So just to break even on emissions, you'd have to have a COP of a little over 3, which would be tough to achieve in Alberta's climate.
Whereas in somewhere like BC, electricity generation only produces about 18 grams of CO2 per kWh. So at a COP of 3 (easily achievable for most people in BC), a heat pump produces about 3% the emissions that a gas furnace does. And in somewhere like Manitoba whose electricity is essentially emission free (1.2 grams of CO2 per kWh), a gas furnace would produce over 300x the emissions of a lower efficiency heat pump with a COP of 2.
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