It is sensible to compare a number of years without cars with a number of white roofs. A number of years without cars is a certain amount less CO2, which is a forcing. So too, a certain number of white roofs is a rise in albedo: also a forcing. Here's a guesstimate.
The idea is this. I'll calculate a forcing, in W, from painting a roof white.
Then I'll calculate how roughly how much CO2 we get from cars, in eleven years, and make that a forcing. This should give a rough idea of how many roofs. Each step will involves back of the envelope estimates, so this should only give a very crude idea if the magnitude of the comparison is sensible. I'm doing this on the fly; I don't know what answer I'll get yet.
1. Effect of painting a roof white
Using some albedo numbers from the book
Boundary layer climates, found online, I'll say that the albedo of a tile roof is 0.2; and that it can be made 0.9 by painting white.
I'll go with a roof size of around 150 m
2; a medium sort of house, I think.
I'll assume that the solar incoming flux at the surface is 184 W/m
2, using the energy flow diagrams from other threads here, based on Trenberth and Kiehl.
Thus the change in energy flux for a white roof is 184*(0.9-0.2)*150 = about 20000 W; rounding to one figure.
Effect of removing cars
A quick google suggests to me that roughly 20% of CO2 emissions are from the transport sector, and about half that is from cars. So about 10% of the rise in CO2 levels might be from cars.
CO2 levels are rising at a bit over 2ppm per year, taking eleven years without any cars means roughly 2ppm CO2. The forcing for that, using a conventional formula I've described in these threads a number of times, is 3.7*log
2(387/385) = 0.028 W/m
2.
How many roofs?
The surface area of the Earth is about 5.15*10
14 m
2. Hence the forcing in Watts for the cars is about 1.4*10
13 W.
Divide by the impact of a white roof... and I get 7*10
8 roofs... 700 million.
Now that is pretty crude, but it indicates an order of magnitude. Chu spoke of roads and pavements as well as roofs. I would think that home roofs in the USA only would be more like 70 million; but if all other buildings and pavement is included, the comparison seems roughly credible. I don't know the basis of Chu's estimate.
Cheers -- sylas
PS. I think skyhunter is probably correct though; the most important factor is probably efficiency and domestic energy use, rather than albedo.