Tuesday, November 28, 2023

Vallance vs Vallance vs SAGE: Letter to the UK Covid-19 Inquiry

I’ve sent the following letter to the Public Inquiry, noting the significant and repeated inconsistencies between what Vallance has recently testified about the events in mid-March 2020, and what the contemporaneous documentary evidence of that period actually says. This evidence includes, rather amusingly, Vallance himself in one of the daily PM statements and press conferences. I will of course post any response(s) received.

To: contact@covid19.public-inquiry.uk

To whom it may concern.

I have noticed a discrepancy between the witness statements made to the Inquiry by Sir Patrick Vallance concerning the events of March 2020, and documentary evidence from that period. It primarily concerns the estimation of the doubling time of the pandemic, which was of great importance in planning the policy response to it. The reason why this is important is that changing the estimate of doubling time from 5 days to 3 days would indicate that the problem was far greater, more urgent, and harder to deal with, than was previously thought. It would inevitably lead to an abrupt and urgent change in policy requirements. However, there is no evidence to support the claim made by Vallance that SAGE was calling for urgent and strict action from March 16 onwards, and that the Govt delayed action for a further week.

Vallance’s evidence to the UK Covid-19 Inquiry

To the Inquiry, Vallance stated that he, and other members of SAGE, changed their minds about the growth rate of the pandemic over the weekend of 14-15 March (bold emphasis added by me):

“I think the new understanding on the weekend of 14 and 15 March was that we were much further ahead in the pandemic than we realised, and the numbers that came in that week showed that there were many more cases, it was far more widespread, and was accelerating faster than anyone had expected.”

“We got information on 13 March which unambiguously showed that the pandemic was far more widespread and far bigger and moving faster than we had anticipated

“The advice given on 18 March was a consequence of our concerns about the rapid doubling time and number of infections”

“A major reason SAGE did not advise earlier and more extensive interventions, for example on 10 March rather than 16 March, was that we were unaware of how widely seeded the virus was in the UK and how short the doubling time had become.”

“I am asked if the models underestimated the spread of the virus early in the pandemic. I think that they did, at least in terms of speed until shortly before the four day period of 13 to 16 March, which I discuss above. This was a function of poor and time delayed data and a consequent under-estimation of the virus’ doubling time.”

The conclusions that we are inescapably being asked to draw from these multiple statements is that (a) SAGE was underestimating the growth rate of the pandemic prior to the weekend of 14/15 March, but corrected their error at that time and (b) the correction of this error was critical in changing their advice from a measured program of mitigation to a much more urgent suppression of the pandemic.

Vallance’s evidence to the House of Commons Science and Technology Committee, July 2020

This mirrors the testimony Vallance gave previously to the House of Commons Science and Technology committee in July 2020:

“When the SAGE sub-group on modelling, SPI-M, saw that the doubling time had gone down to three days, which was in the middle of March, that was when the advice SAGE issued was that the remainder of the measures should be introduced as soon as possible.”

“The advice changed because the doubling rate of the epidemic was seen to be down to three days instead of six or seven days. We did not explicitly say how many weeks we were behind Italy as a reason to change; it was the doubling time, and the realisation that, on the basis of the data, we were further ahead in the epidemic than had been thought by the modelling groups up until that time.”

SAGE minutes of mid-March and other contemporaneous evidence 

However, contrary to these claims, the minutes of the SAGE meeting on the 16th March very clearly stated:

“UK cases may be doubling in number every 5-6 days.”

and later that day, Vallance personally repeated the 5 day doubling figure live on TV:

“…the epidemic, you’d expect to double every 5 days or so…”

Two days later, the minutes of the SAGE meeting on the 18th March again stated:

Assuming a doubling time of around 5-7 days continues to be reasonable, but this is before any of the measures brought in have had an effect; these measures are likely to slow the doubling time even if there is still an exponential curve.”

The first time 3 day doubling was hinted at in any official documentation appears to be the SPI-M-O meeting on the 20th March:

“Nowcasting and forecasting of the current situation in the UK suggests that the doubling time of cases accruing in ICU is short, ranging from 3 to 5 days.”

and this was finally endorsed in the SAGE minutes of the 23rd March:

The doubling time for ICU patients is estimated to be 3-4 days

It looks like Sir Patrick may have confused the weekends of 14-15 March, with 21-22 March. For example, the SPI-M meeting he referred to above as taking place prior to SAGE’s change of heart “in the middle of March” is actually documented as having taken place on the 20th March. I hope you will be able to contact him to ask him about these discrepancies.

At the very least, the documentary evidence proves that SAGE was still underestimating the growth rate of the pandemic right through their meetings of the 16th and 18th March, only finally correcting their error on the 23rd. But perhaps a more worrying implication here is that Sir Patrick’s recollection of SAGE’s approach towards mitigation and lockdown at this time is also in error. In fact, the minutes of the meetings of the 16th and 18th appear entirely supportive of the Govt actions at that time, which were to continue with the gradual extension of the measured program of (mostly voluntary) measures. On the 16th:

“SAGE cannot be certain that the measures being considered by HMG will be sufficient to push demand for critical care below NHS capacity but they may get very close under the RWC scenario.

While SAGE’s view remains that school closures constitutes one of the less effective single measure to reduce the epidemic peak, it may nevertheless become necessary to introduce school closures in order to push demand for critical care below NHS capacity. However school closures could increase the risks of transmission at smaller gatherings and for more vulnerable groups as well as impacting on key workers including NHS staff. As such it was agreed that further analysis and modelling of potential school closures was required (demand/supply, and effects on spread).”

and on the 18th:

“SAGE advises that the measures already announced should have a significant effect, provided compliance rates are good and in line with the assumptions. Additional measures will be needed if compliance rates are low.”

They even argued that the measures implemented on the 18th (including the new school closures) were probably adequate to fully suppress the pandemic:

“SAGE reviewed available evidence and modelling on the potential impact of school closures. The evidence indicates that school closures, combined with other measures, could help to bring the R0 number below 1, although there is uncertainty.”


The claims that the Govt was responsible for a week of delay at this time, and that SAGE was arguing for much more immediate and stringent action, is not supported by a reasonable reading of the evidence. Indeed, SAGE had no reason to be doing this, since they still believed (contrary to Vallance’s testimony above) that the pandemic was doubling at a rate no more rapidly than 5 days (at worst) and furthermore, as they explicitly stated on the 18th, was probably being significantly slowed beyond this figure by existing policies already introduced at that time.

All of the quotations I have given above are directly copied from official documentation available on the Govt’s own web site, other than that taken from the youtube video of the PM statement and press conference of the 16th March which is my own transcription. Please contact me if you require any help in validating the provenance or accuracy any of this evidence.


James Annan


Saturday, November 25, 2023

Vallance vs Vallance vs SAGE: Why does doubling time matter?

One thing that all the protagonists (myself included) agree on is that SAGE’s estimate of doubling time in mid-March was of critical importance. Vallance testified forcefully to this effect in 2020:

When the SAGE sub-group on modelling, SPI-M, saw that the doubling time had gone down to three days, which was in the middle of March, that was when the advice SAGE issued was that the remainder of the measures should be introduced as soon as possible.

And then confirmed in this exchange with a committee member:

Sir Patrick Vallance: Knowledge of the three-day doubling rate became evident during the week before. 

Q1080 [ed – this number has changed from the previous time I posted about this] Graham Stringer: Did it immediately affect the recommendations on what to do?  

Sir Patrick Vallance: It absolutely affected the recommendations on what to do, which was that the remaining measures should be implemented as soon as possible. I think that was the advice given.

and again:

Sir Patrick Vallance: The advice changed because the doubling rate of the epidemic was seen to be down to three days instead of six or seven days. We did not explicitly say how many weeks we were behind Italy as a reason to change; it was the doubling time, and the realisation that, on the basis of the data, we were further ahead in the epidemic than had been thought by the modelling groups up until that time.

But why does the doubling time matter so much, and is the difference between 3 days and 5 day really important? The point of this post is to answer these questions.

I’ll start by repeating a couple of plots I first made way back in April 2020 when it was just dawning on me what a colossal cock-up SAGE had made of it. These graphs are generated by a simple SEIR model that I’ve shown to reasonably replicate more sophisticated ones. In the below, the blue “calibrated” line uses data up to 14 March to estimate doubling time, which comes out at 3 days. The red “uncalibrated” line uses parameters from Ferguson’s March 16 paper, which has a doubling time of 5 days.

So, one obvious point is that the blue curve does a much better job of predicting what was going to happen (ie, the magenta x, which were not used to calibrate either model). But that’s not the point of this particular post. Rather, it’s just that the predictions for 3d vs 5d doubling are radically different. Here is the longer-term view, now without the logarithmic scaling on the axis:

Note the “we are here” point is mid-March, when the red and blue curves are visually indistinguishable.

There are several reasons why the doubling time matters. Firstly, the estimate of current pandemic size is based on historic data. Edmunds specifically talks of a 12 day delay from infection to illness, to testing, to finally test data reporting. So 100 cases reportedtoday means 100 infections 12 days ago, and that’s 4 doublings at 3d doubling, meaning 1,600 cases now. If the doubling time was only 5d, then the 12 day delay is just over 2 doublings, and we wouldn’t be at 1,600 cases for another 8 days (4 doublings is 20 days, so that means 12 just past and another 8 in the future). So one immediate consequence of a change in perceived doubling time is that we’ve lost just over a week in terms of pandemic progression. (These calculations all ignore the proportion of infections that are undetected, which can reasonably assume to be roughly constant and thus not affect the argument.) 

Secondly, the 3d doubling means the pandemic comes much sooner, and (thirdly) reaches a much higher peak, as shown in the 2nd graph above. What was expected some time over the summer, is now happening next month, and it’s going to be a lot worse than expected – getting on for twice as many cases per day at peak.

Finally, the more rapid doubling implies a higher R0-number, and this makes it harder to control. With R0=2.4 (Ferguson’s 16 March number), a reduction of contacts to 40% of normal would control the virus, because 2.4 x 0.4 = 0.96 which is less than 1. Whereas a 3d doubling implies a rather higher R0, let’s say 3.2. This then requires much stiffer action, because 3.2 x 0.4 = 1.28 which is still greater than 1. A reduction to 30% of previous contact levels to get the R number below 1 (3.2 x 0.3 = 0.96 as before) is obviously much tougher to achieve especially given that family members, essential work etc mean we can’t really isolate perfectly. (Quibbling over the exact value of R0 to use doesn’t invalidate the general point that a higher R0 is harder to control.)

So, changing the estimate of doubling time from 5d to 3d would be a real “oh shit” moment for anyone involved in pandemic planning. It means (a) we’ve instantaneously lost 8 days of lead-time, (b) the pandemic peak is going to be coming a month sooner than expected, (c) the peak is going to be almost twice as big as expected, and (d) the control measures we were hoping to use are much less likely to be adequate. Any plan predicated on a 5d doubling time would immediately have to be revisited in the most extreme and urgent manner.

I hope I have convinced my reader that whatever plans were in place in early March under the assumption of a 5 day doubling, the new understanding that the doubling time was instead 3d would cause an abrupt and substantial change of perspective. This, from a scientific perspective, is inevitable and obvious.

Thursday, November 23, 2023

Vallance vs Vallance vs SAGE: Introduction

Ok I’m going to do a bit of analysis of Vallance’s evidence to the UK Covid-19 Inquiry, focussing specifically on the events of the mid-March 2020 period up to the imposition of the first “lockdown” on 23rd March. On Monday 20th Nov 2023 he was interviewed by the Inquiry and also provided some written testimony. This is broadly speaking a more detailed version of the testimony he provided back in July 2020 to the House of Commons Science and Technology Committee (which I blogged about at the time) but appears significantly inconsistent with the documentary evidence provided by the minutes of SAGE meetings and other records of that period. If you already agree with me that Vallance misled the S&TC with his testimony in 2020 then you might not find this very interesting, but I think I might as well go over it again as there’s a lot more testimony to consider (including other participants in SAGE).

I’ll break it up into sections in order to make it digestible, and also to avoid me going round in ever decreasing circles. To start with, let’s consider some background concepts…

Tuesday, November 21, 2023

UK Covid-19 Inquiry: Module 2

The currently ongoing Module 2 describes its aims thusly:

This module will look at, and make recommendations upon, the UK’s core political and administrative decision-making in relation to the Covid-19 pandemic between early January 2020 until February 2022, when the remaining Covid restrictions were lifted. It will pay particular scrutiny to the decisions taken by the Prime Minister and the Cabinet, as advised by the Civil Service, senior political, scientific and medical advisers, and relevant Cabinet sub-committees, between early January and late March 2020, when the first national lockdown was imposed.

I’m particularly interested in this period, as it’s the time that the expert scientific analysis and advice from SAGE was so woefully inadequate. I’ve blogged about this at length, but just to recap, the scientists were mistakenly thinking that the doubling time of the pandemic was about 5-6 days (various numbers appear in the SAGE minutes) and that we shouldn’t take too stringent measures as there was a genuine risk that by doing so we’d put the pandemic off to the following winter when it would add to the normal seasonal pressures on the NHS. They were quite anxious that we should get through it over the summer of 2020 instead.

Vallance misled the Science and Technology Select Committee a while ago about this, claiming that SAGE had recommended lockdown on the 16th or 18th of March. This is contradicted by the minutes of those meetings, and even if you try to argue that the minutes may not be completely definitive on that, it is also contradicted by his accompanying statement that their change of heart was due to correcting their estimate of the doubling time (to 3 days), which the SAGE minutes document very precisely to the 23rd March. He’s due to give evidence to the UK Covid-19 Inquiry on Monday, so I await with interest to see whether he will correct the record or also mislead them.

This error was not just an inconsequential comment in a committee that no-one cares about, but has been widely reflected in press comment. For example, the usually excellent Lewis Goodall on Xitter:

Monday, November 20, 2023

UK Covid-19 Inquiry

 I can see I’m going to have to go over all this again. It’s not a task I really face with much enthusiasm, but it doesn’t seem like anyone else is prepared to do it. To say I’m disappointed at the revisionism, sleight-of-hand and downright misleading testimony from several senior scientists to the UK Covid-19 Inquiry would be an understatement. I had naively hoped there might be some element of humility, introspection and self-reflection concerning their errors at the start of the outbreak, but I’ve seen no hint of this. (If anyone wants to reassure me that lessons have been learnt internally, then I’m all ears, but would want to see evidence of this.)

Unfortunately, neither the inquisitors themselves, nor the journalists following the process, nor the array of commentators eagerly quoting the juicy messages, seem to have the will or perhaps the scientific skills to unpick the story. That’s not to say it is hugely complicated, but a basic understanding of the underlying mathematics is vital for piecing together how it all played out, and why. And it’s very clear that most people start out with an agenda and go looking for support, rather than really being interested in understanding the truth. The scientists are delighted to have found a route to blaming the politicians, and the politicians are too focussed on knifing each other to question what the scientists are now claiming the history to be.

That’s not to say I’m perfect (far from it), but on this particular topic, I happen to be correct. A more difficult question, is whether anyone else cares. Anyway, on with the show….

Sunday, November 19, 2023


As you may have noticed, there hasn’t been a lot of science getting done here recently. 

The basic reason for this is that we’ve decided to retire and close down Blue Skies Research Ltd. We set it up about 10 years ago, when we returned from Japan, and have had a lot of fun continuing our research in a private setting but over the last few years have been gradually winding down the research activity and increasing the other-than-research activity and want to focus on the latter from now on.

There’s a paper in the works with paper charges still to pay so the company isn’t completely shut down yet. We aren’t looking for new projects but if something exciting comes up, we might change our minds.

To be honest, we haven’t been particularly inspired by new ideas for a while and simply don’t have any burning climate science questions that we need to answer. After all, we have worked out what Equilibrium Climate Sensitivity is (actually we worked it out in 2006, but everyone else took 15 years to catch up). There are lots of other scientists quite capable of taking the field wherever they choose to, and we look forward to seeing where they go!