The article greatly exaggerates the decline in birth rates. (Or rather, manages to create an impression of such without quoting any relevant figures.) Figures through 2007 are here:
Birth rates per 1,000 population are slightly down compared to 1980, because there are more older people around. In 2007, white fertility rates were at the highest level in several decades.
There was some decline because of the recession, but I’m not sure if it constitutes a real demographic shift or just a postponement (just like the baby boom came about because many families postponed having children during the 30’s and the WWII).
At the current trend, we normally need to add 1 million housing units per year to compensate for new household creation, and this trend should hold for at least a couple of decades. But household creation is also systematically postponed these days: just see here
In San Diego, the average household size spiked from 2.78 to 2.93 in the last four years. We’ve been steadily gaining population, and we’ve been gaining children, and there has been almost no new construction for a while, but there is no upward pressure on house prices (for now), because people are more likely to live with parents or roommates, compared with 2007. I’d guess that it’s mostly for economic reasons and not because people suddenly started liking living with in-laws. So there we also have accumulating pent-up demand.