# How to treat negative confidence intervals in response scale for GLMM Poisson/negative binomial distribution

I am using emmeans to produce estimated marginal means from GLMMs with Poisson or negative binomial distributions, but for a few of my models the confidence interval is in the negative. I was not expecting this given the distribution. Can I simply set the lower bound to zero, or am I missing something?

m1<-glmmTMB(count ~ treatment + (1|nestBoxSlot), data=data, offset=log(noIndividual), ziformula=~1, family="nbinom2")

emmean <- emmeans(m1, "treatment", type="response", offset=0)


Result of emmean

  treatment  response        SE  df   lower.CL   upper.CL
1         C 8.1624947 8.0114700 528 -7.5757742 23.9007636
2         M 0.2043217 0.2637268 528 -0.3137608  0.7224043
3        MD 0.4341052 0.5491020 528 -0.6445876  1.5127979