Part Two
Population growth has occurred throughout human history because of the discrepancy between birth rates and death rates and despite short term dents caused by plague, wars, genocides etc., even *before* considerations like immigration.
UK birth rate, crude, per 1000 = 12 (was 13, before 2011)
http://data.worldbank.org/indicator/SP.DYN.CBRT.IN
UK death rate, crude, per 1000 = 9
http://data.worldbank.org/indicator/SP.DYN.CDRT.IN/countries
Which I take to mean a growth rate of 3 per 1000, or 0.003 for the purposes of the formula, above.
United Kingdom, Population 64.1 million (2013) (Google)
So, with t = 1 and immigration of ZERO, the population estimate for 2014 would be
64,292,588
64,100,000 -
192,588 people to house
96,294 new homes, if ALL of them pair off (and we know 20% of them will not but let's keep the figures simple.
Number of homes built? (I open this to the floor, or your chosen search tool).