A number of studies have recently shown an association between particle con
centrations in outdoor air and daily mortality counts in urban locations. I
n the public health interpretation of this evidence, a key issue is whether
the increased mortality associated with higher pollution levels is restric
ted to very frail persons for whom life expectancy is short in the absence
of pollution. This possibility has been termed the "harvesting hypothesis."
We present an approach to estimating the association between pollution and
mortality from times series data that is resistant to short term harvestin
g. The method is based in the concept that harvesting alone creates associa
tions only at shorter time scales. We use frequency domain log-linear regre
ssion to decompose the information about the pollution-mortality associatio
n into distinct time scales, and we then create harvesting resistant estima
tes by excluding the short-term information that is affected by harvesting.
We illustrate the methods with total suspended particles and mortality cou
nts from Philadelphia for 1974-1988. The total suspended particles mortalit
y association in Philadelphia is inconsistent with the harvesting-only hypo
thesis, and the harvesting-resistant estimates of the total suspended parti
cles relative risk are actually larger-not smaller-than the ordinary estima
tes.