James Ward Profile picture
Sep 9, 2021 25 tweets 8 min read Read on X
Apologies to those of you who’ve been waiting for a model update: I’ve been slowed down a bit by work, start-of-term chaos with the kids, and by trying to organise an U13 girls rugby team. But it’s finally here in its glorious 25-tweet thread detail. Hope you enjoy…. 1/25
The July iteration of my model did an OK job of predicting (at least in “ballpark” terms) the level of hospital admissions over the last couple of months – in fact it’s almost spot-on right now, albeit maybe in the same way that a stopped clock is correct twice a day. 2/25
But that model won’t be a good guide to what happens over the autumn and winter, because it’s missing two significant drivers: waning immunity, and booster vaccinations. So I’ve upgraded the model to include those factors, and am ready to give you the results. 3/25
My 10 high-level conclusions are:
1.Without any waning of immunity, we’d probably be facing a relatively benign autumn/winter. In fact, even if behaviour returned to a pre-pandemic normal, we could see relatively few hospitalisations and deaths after November: 4/25
2. But with waning immunity, the outlook is considerably less favourable, with the potential for sizeable waves both in the autumn of 2021, and in early 2022. The outcome depends (unsurprisingly) on the speed of waning – and the faster it is, the worse things get. 5/25
3. The outcomes are worse if there is an age gradient on waning, such that older people’s immunity wanes faster than youngsters’. But if there is no waning of severe-disease protection, outcomes are significantly better (but still not entirely benign). 6/25
4. In this model, vaccinating 12-15s makes little difference to population-level outcomes, but there may be other reasons for doing this, and the model isn’t fully age-stratified so may miss some effects. Hence I’d be cautious in using this analysis for policy-making. 7/25
5. Booster vaccinations for older / vulnerable people (I’ve used the old JCVI groups 1-4 here) improves the situation, with a 20-30% reduction in total deaths and hospitalisations, although at the cost of a slightly higher peak in January/February. 8/25
6. However, the case for boosters in other groups is less strong – and it could even be counter-productive. Here we see giving boosters quickly to 50-70s and then to 18-50s before Christmas actually tends to magnify and delay the peak, with worse overall results. 9/25
But we can do better. For example, if we give boosters quickly to the 70+, but then slow down to a more sustainable rate (~1m doses per week in England) then that tends to suppress the peak, not magnify it. There may be even better strategies I haven’t found yet. 10/25
(Note I’m conscious there is a lot of uncertainty in this analysis, and so again would be cautious before using it directly for policy-making. It would be helpful to see the results of other models, e.g. from SPI-M, to check if they give similar predictions). 11/25
(And please note I’m not addressing here the ethical question of whether the gains from booster vaccinations in the UK are sufficient to outweigh the case for sending those vaccines to other countries – I’m just giving you some analysis to inform that debate!) 12/25
7. So far I’ve assumed that the immunity from booster vaccinations wanes in the same way as for 2nd doses; however if booster immunity is “stickier” (as suggested by @andrew_croxford here ), then the outlook for 2022 is much better. 13/25
8. I’ve also assumed so far that behaviour remains fixed at its September levels, with some ongoing WFH, use of masks, etc. But if this caution falls away, reverting closer to a pre-pandemic “normal” over the winter, we could see much larger waves. 14/25
9. But even if we did get a large wave that needed “flattening” to protect NHS capacity, I don’t see a case for a full-on lockdown; moving back one step along the roadmap (i.e. to the position in England before July 19th) should be sufficient to bring R<1 for a period. 15/25
(please note I’m not advocating doing this – I’m hoping it won’t be needed, but it makes sense to have a contingency plan. Also, while it would “flatten the curve” by splitting a large peak into two smaller ones, it could actually increase the total number of admissions). 16/25
10.Overall, the number of covid-related deaths predicted by the model, across a plausible set of scenarios, ranges between 10k and 50k, for the period of Sept 2021 to June 2022. This is in addition to the ~130k already recorded to date in England. 17/25
PLEASE NOTE that I have relatively low confidence in using the model to make forecasts over the next few months – there are a lot of factors that are hard to predict (e.g. human behaviour) or for which we currently have relatively sparse data (e.g. immunity waning), and… 18/25
…which can make a big difference to outcomes. So rather than reading numerical predictions from the model, I would suggest using it to reach directional conclusions (e.g. faster waning makes things worse, boosters improve things – but not if delivered too fast, etc.) 19/25
I would also note that the model excludes some factors that may become relevant over a longer time horizon e.g. births, deaths and aging. And lacking a full age-stratification or regional breakdown, it may miss some important effects driven by those factors. 20/25
For that reason and others, it would be good to see a new set of SPI-M models released by SAGE, particularly if these are being used to inform decisions by JCVI / CMOs / government around booster vaccinations and for 12-15 year olds. 21/25
In the meantime, I can compare my new “mid waning” base case to my old model, and the previous set of SPI-M models. Note the dotted line is not really a forecast, because it doesn’t include any impact from booster vax – the reality should be (on average) lower than this. 22/25
One note: you can see the new model doesn’t match hospitalisations perfectly in July. This is because it isn’t great at fitting admissions when there are large swings in the age mix of cases, as there were in the summer. Please bear in this in mind for future forecasts! 23/25
Also to answer an obvious question; no, the model isn’t published (sorry) – maybe when I have a bit more time to spend on this. But I do try to be transparent with the assumptions, which are documented in the attached tables – with changes and additions flagged in green. 24/25
In particular I’ve updated the model to the latest vaccine take-up / supply / effectiveness data, and tweaked a few other parameters (e.g. generation time for delta is now 4 days, not 5 days). As always, questions and suggestions for improvement are very welcome. 25 & END.

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More from @JamesWard73

Dec 29, 2022
When I wrote my thread before Christmas (linked below) I promised you a postscript on the interaction between vaccines and NPIs, so here it is. And it’s good news – the combined effect is more powerful than I expected. 🧵 1/25
Let’s start with what I expected. In an endemic model, with no vaccines, there is essentially a “required” rate of infection which is needed to keep immunity levels topped up at their equilibrium (herd immunity threshold) level. 2/25
NPIs can reduce this equilibrium level, and hence also the required rate of infection – although as we’ve seen in other threads, the % reduction in the infection rate is usually less than the % impact of the NPIs on transmission. 3/25
Read 26 tweets
Dec 19, 2022
So Covid Twitter (and Twitter in general) seems to be dying… with just a few limbs still twitching. To be fair I haven’t been helping much this year, having held true to my New Year’s Resolution to spend time talking to my family rather than on Excel and Twitter. 🧵
So many thanks to those (including but not limited to @BristOliver @PaulMainwood @kallmemeg @john_actuary @chrischirp) who have kept things going this far. But I haven’t completely given up the modelling thing, and there’s a couple of new things I’d like to show you.
So for old times’ sake, and as an early Christmas present, here goes with probably my last ever Twitter thread (and yes, I know it would probably work better on Substack, and maybe I should replicate it on Mastodon &/or Post, but just for today, let’s remember Twitter as it was).
Read 46 tweets
Oct 11, 2022
@TAH_Sci @i_petersen @karamballes @chrischirp @CathNoakes @MichaelSFuhrer @MichaelPlankNZ I agree our biggest concern right now should be booster take-up in 65+, but I’d be a bit more open to the case for “clean air” interventions. It’s possible that the business case for doing this in some settings actually does stack up, and imo we should be investigating this, …
@TAH_Sci @i_petersen @karamballes @chrischirp @CathNoakes @MichaelSFuhrer @MichaelPlankNZ … while being very realistic about the costs and benefits. If we’re happy to start with a basic model (and then refine it) then there’s really only three things we need to work out:
1) what % of transmission do we expect to be interrupted in the specific settings it is used?
@TAH_Sci @i_petersen @karamballes @chrischirp @CathNoakes @MichaelSFuhrer @MichaelPlankNZ 2) what % of overall transmission is accounted for by those specific settings?

Multiplying 1) and 2) gives us the overall % reduction in transmission. And then we need to convert that into a reduction in medium-term prevalence. @MichaelPlankNZ gives us the formula here:
Read 9 tweets
Jul 26, 2022
really nice analysis from @Jean__Fisch here using the SIREN data to imply changing patterns in the amount of protection that previous infection is giving in each wave. A few points to note:
- infection seems to give strong protection through the autumn 2020 and the Alpha wave
- this reduces (through the combined effects of waning, immune escape and impact of vaccinations) for the Delta wave
- and for the first Omicron (BA.1) wave, there appears to be no benefit from prior infection. I don’t believe this is literally true: more likely there was a…
…small benefit but it may be offset by demographic confounders eg those more likely to be exposed in one wave are also more likely to be exposed in the next
- the good news is that the protection recovers in the later Omicron waves, suggesting that BA.1/BA.2 infection does…
Read 5 tweets
Jun 30, 2022
I’ve been looking at this question the other way around, but it’s still very gently encouraging I think. The case curve is continuing with exponential growth (straight line on the log plot) for much longer than we would have liked. We might have expected it to curve over by now
…as the effect of growing immunity to the latest variant starts to bring the R number down. We’ve had a couple of false dawns already (what do we call these, they can’t be “dead cat bounces” because we’re still going up… so maybe “live cat slumps”?), but still it keeps rising.
I *think* what’s going on here is not that immunity has suddenly stopped working, but rather that the effect of growing immunity is being offset by something else. The obvious candidate (as explored in Oliver’s thread) is the upwards pressure from continued variant mix changes.
Read 8 tweets
Jun 14, 2022
This is important from @AdamJKucharski – and consistent with the maths I outlined in threads about endemicity late last year: (which will have been very familiar territory to Adam and other experts in this field). To draw out a couple of key implications:
1. From a mathematical perspective, the arrival of new variants is a bit like waning host immunity, and has much the same effect (i.e. immunity gets lower). It arrives in a slightly different way (at the same time for everyone, rather than gradually across the population)
...which will affect the short-term dynamics, and mean that we’re more likely to get new peaks and troughs, rather than settling into a more stable equilibrium. But viewed over periods of several months or years, the impact on total infection rates will be similar.
Read 9 tweets

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