A heat-pump is fine within its limits: it needs to be connected to a system suitable for it (which may mean replacing all the pipes and radiators), in a home insulated and ventilated suitably for it (which means many existing houses are not.
Cost may reduce and reliability might increase with time; but you can't beat physics and they will not heat water to the same temperature as a combustion-type boiler will; hence needing an auxiliary, electric immersion-heater tank.
In theory at least the heat in the atmosphere is practically inexhaustible but an air-source pump seems to work better the lower the temperature-range for a given heat transfer (hence given electricity consumption). While others have pointed out they can freeze up, so presumably need an internal heater just to keep them defrosted!
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What is the advantage of a ground heat-pump over air one?
The ground does not freeze beyond a short depth: it is rare except perhaps in parts of Scotland for that to exceed about a foot down. (Earthworms survive by burrowing below the frost.)
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What is its disadvantage?
Apart apparently from needing a very large pipe array to be any use, the one question I have never seen asked is of depletion by the specific pump in its specific location.
Can it remove more heat from the finite volume of ground it uses, faster than Nature can replenish it? That rate will depend very heavily on the local geology and meteorology. They would probably be influenced further if all the surrounding homes use them too, and perhaps very variably as different households use theirs at different rates.
With a long, cold spell perhaps with a lot of cloud cover, or indeed snow, minimising warming from the Sun, combined with very low local heat conduction through the local rocks from deep below, how long will an individual pump's patch of ground take to regain the temperature and amount of heat it enjoyed prior to switching the worm-fridge on?
Longer, I suggest, than it took to cool it.
Conversely, if we determine the maximum heat extraction for the specific heat source, will that be sufficient to be at all useful for any more than frost-protection?
I suspect the proponents of ground-source heat-pumps look at areas of very high geothermal activity – as in Iceland but rare and far less powerful in Britain – as their exemplars, and will not think about real use in this country's extremely varied ground , weather and artificial (man-made) conditions.
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I agree with Samsaranda but I am afraid the root of the problem – too many people – is probably the hardest of all to address in any sane, humane way. That's why it is hardly addressed at all.
Anecdotally there are already couples choosing not to breed through fears of what their offsprings' world may be; but to what extent is another matter. Almost certainly the number of such couples is too low to be significant, and will stay so unless it becomes a very widespread fear, one enough to over-ride a powerful natural instinct in enough people.
The "Third" (or "Developing" as they seem to prefer) World people cannot be blamed for wanting more and better. They see the rich countries wasting precious resources such as water on idiocies like lawns in deserts… many of them lack clean, reliable, potable water just for drinking. At least the water is not finite, as metals and oil are: it all returns to the sea eventually. Similarly they can't be blamed for wanting fancy electronics or cars: many of them would not mind a simple telephone and local buses. (Nor would many in this country, mind having the latter…)
I fear whatever we do, the future is grim, maybe not as closely as 2050 but certainly much beyond that.