Almost no one lives in the house of their dreams. We rent the flat we can afford, not the one we'd choose. We buy further out than we wanted, or smaller than we planned, or later than we meant to. The spare room becomes a bedroom. The study becomes a nursery and the nursery stays a nursery. The adult child who would have moved out is still down the hall. We tell ourselves the commute is fine. We build a granny flat to accommodate ageing parents. Whether we rent or buy, almost all of us are living in a compromise, and we made it because of what housing costs - be it the purchase price, the mortgage repayment cost, planned renovation costs, maintenance costs or rental costs.
That ordinary, universal experience is the reason a claim now circulating cannot bear the weight being put on it. The claim, in its various forms, is that we are building enough houses, or that at some lower rate of population growth the current rate of construction would be sufficient. The evidence offered is usually a ratio: dwellings against households, or population growth against completions, or population per dwelling with the conclusion that if the two roughly match, or match some historical figure, then demand has been met and there is no real housing shortage.
I am not going to argue the opposite. I am not going to tell you there is a shortage of a particular size, because I do not think anyone can honestly tell you that. I am going to argue something narrower, and I think harder to dismiss. You cannot cleanly conclude adequacy from a ratio like that, in either direction, because the quantities in it are not independent of the thing you are trying to judge. And what we most need to know, how much housing demand has been compromised away, and at what price it would reappear, is not in the data at all.