This paper provides the results of a retrospective mathematical analys
is of the US NCLAN (National Crop Loss Assessment Network) open-top ch
amber data. Some 77% of the 73 crop harvests examined, showed no stati
stically significant yield differences between NF (non-filtered open-t
op chamber) and AA (chamberless, ambient air) treatments (no easily di
scernable chamber effects on yield). However, among these cases only s
even acceptable examples showed statistically significant yield reduct
ions in NF compared to the CF (charcoal filtered open-top chamber) tre
atment. An examination of the combined or cumulative hourly ambient O-
3 frequency distribution for cases with yield loss in NF compared to a
similar match of cases without yield loss showed that the mean, media
n and the various percentiles were all higher (greater than or equal t
o 3 X ) in the former in contrast to the latter scenario. The combined
frequency distribution of hourly O-3 concentrations for the cases wit
h yield loss in NF were clearly separated from the corresponding distr
ibution with no yield loss, at O-3 concentrations > 49 ppb. Univariate
linear regressions between various O-3 exposure parameters and per ce
nt yield losses in NF showed that the cumulative frequency of occurren
ce of O-3 concentrations between 50 and 87 ppb was the best predictor
(adjusted R(2) = 0.712 and p = 0.011). This analysis also showed that
the frequency distribution of hourly concentrations up to 87 ppb O-3 r
epresented a critical point, since the addition of the frequency distr
ibutions of > 87 ppb O-3 did not improve the R(2) values. In fact as t
he frequency of hourly O-3 concentrations included in the regression a
pproached 50-100 ppb, the R(2) value decreased substantially and the p
value increased inversely. Further, univariate linear regressions bet
ween the frequencies of occurrence of various O-3 concentrations betwe
en 50 and 90 ppb and: (a) cases with no yield difference in NF and (b)
cases with yield increase in NF compared to the CF treatment (positiv
e effect) provided no meaningful statistical relationship (adjusted R(
2) = 0.000) in either category. These results support the basis that a
dditional evaluation of the frequency of occurrence of hourly O-3 conc
entrations between 50 and 87 ppb for cases with the yield reductions c
ould provide a meaningful ambient O-3 standard, objective or guideline
for vegetation.