There's between a third and a half as many Pillar 1 (NHS/PHE) tests as Pillar 2 (partner labs), depending on the week, and the latter are only given to people already showing symptoms.
This is a known issue in the data, btw, or at least people who've actually run the numbers have identified it too.
For example, one of PeteB's links a few pages back linked to this preprint
https://www.medrxiv.org/content/10.1101 ... 20128777v1 comparing different data sources during the first wave via a data assimilation technique borrowed from geosciences. What they call 'experiment DH' was a model using deaths and hospitalisation data only to model the progress of the epidemic in England.
As discussed in Section 5.1, the reported number of cases testing positive for SARS-Cov-2
underestimates significantly the actual number of people infected by the virus. We can assess the
magnitude of this underestimation by comparing the number of cases predicted by experiment DH
to the reported number of cases. We find that as the number of people infected grew exponentially
before the lockdown started and the reproduction number declined to below 1.0, the percentage
of positive cases not being reported increased due to a severe lack of testing kits. On March
25th, this number peaked, with reporting of only 1% of cases. As more tests became available,
and simultaneously the rate of infection reduced, the percentage of unreported cases decreased.
From the beginning of May, about 2% of the accumulated cases are reported. The UK government
achieved its self-imposed target of 100,000 tests per day for the first time on May 1st. The estimated
percentage of reported cases can be compared to the percentage of asymptomatic cases. Estimates
of the proportion of asymptomatic cases vary widely between studies. However, WHO suggests
that 80% of infections are mild or asymptomatic [61], supported by [34]. Therefore, due to the
testing strategy in the UK (only testing people displaying symptoms), we could conclude that
approximately 10% of the accumulated symptomatic cases are being reported from the beginning
of May.
I know there's more tests available now, but still not enough, so it seems reasonable to assume that the proportion of cases identified varies as a function of the number of cases in a way that systematically underestimates case number.
We have the right to a clean, healthy, sustainable environment.