I am generating a river reach population estimate for a freshwater mussel
by summing point estimates made across a gridded point network (within the
reach) using a generalized linear mixed model framework. I have generated
95% confidence/prediction intervals at each of the ~150,000 point locations
in R. I have summed all of the point estimates to derive the reach
population estimate, but am unsure how to derive a single confidence
interval for the population estimate using the 150,000 individual-point
confidence intervals. My question: Is it statistically valid to simply sum
all the lower estimates and upper estimates to obtain the absolute upper
and lower most population confidence limits?

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