hdi question

[Neon22]

Great work thanks for doing this.
My question is about the hdi which purports to show the uncertainty in the derived Rt.
It looks perfectly reasonable to me but if we look at the country data run through the same process here:

• https://github.com/sanzgiri/covid-19/blob/master/Realtime_R0_by_country.ipynb

and we look specifically at New Zealand which has a high testing rate and low infection rate - due to lockdown and cluster management - then we see the hdi increasing.

image where hdi seems wrong

This seems to mean we might be drawing the wrong conclusions about uncertainty.

Is there a way to factor in the testing per head of population here ?
Is that even the right thing to do ?
or is the low number of positive cases screwing up something else ?