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Michael Plank

@michaelplanknz.bsky.social

Professor of Applied Mathematics at the University of Canterbury, NZ. Fellow @royalsocietynz.bsky.social. Math modelling in biology and epidemiology. Bicycles make the world a better place. He/him https://www.math.canterbury.ac.nz/~m.plank/

2,652 Followers  |  1,696 Following  |  1,045 Posts  |  Joined: 30.08.2023
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Posts by Michael Plank (@michaelplanknz.bsky.social)

Relevant meme from our blog post on the topic: www.the100.ci/2024/12/05/w...

04.03.2026 07:29 โ€” ๐Ÿ‘ 67    ๐Ÿ” 14    ๐Ÿ’ฌ 4    ๐Ÿ“Œ 2
Screenshot of the "Does that use a lot of energy?" online app

Screenshot of the "Does that use a lot of energy?" online app

Hannah Ritchie has built a fun little tool where you can compare energy usage of various products and activities.

This is super helpful imho, because it's so hard to develop intuitions even just about the scales involved here.

hannahritchie.substack.com/p/does-that-...

03.03.2026 09:27 โ€” ๐Ÿ‘ 139    ๐Ÿ” 61    ๐Ÿ’ฌ 3    ๐Ÿ“Œ 5
The Conservatives are, after all, well placed to know a lot about this morass, since they introduced it. In 2012, the coalition government launched the Plan 2 system of student loans and raised university fees across Britain to ยฃ9,000 per annum. To put Plan 2 in simple terms, loan repayments were laid out via a seemingly innocuous series of calculations. The first to consider is the threshold at which repayments begin. If you left education with, say, ยฃ27,000 worth of debt, you would only start paying it back once you met a predetermined salary. On its face, this might not seem like a particularly onerous demand. โ€œLow-earningโ€ graduates would avoid being saddled with repayments before they were financially able to begin making them, while their โ€œhigh earningโ€ peers could start chipping away at their debt, and provide an income stream for the state.

The Conservatives are, after all, well placed to know a lot about this morass, since they introduced it. In 2012, the coalition government launched the Plan 2 system of student loans and raised university fees across Britain to ยฃ9,000 per annum. To put Plan 2 in simple terms, loan repayments were laid out via a seemingly innocuous series of calculations. The first to consider is the threshold at which repayments begin. If you left education with, say, ยฃ27,000 worth of debt, you would only start paying it back once you met a predetermined salary. On its face, this might not seem like a particularly onerous demand. โ€œLow-earningโ€ graduates would avoid being saddled with repayments before they were financially able to begin making them, while their โ€œhigh earningโ€ peers could start chipping away at their debt, and provide an income stream for the state.

As any of my fellow literature or history graduates will tell you, however, the devil is in the details. For one thing, the threshold at which someone becomes a high earner was never particularly high and, following years of inflation, is now preposterously low. Rachel Reevesโ€™ announcement that the government are freezing the threshold at April 2026 levels (ยฃ29,385) for a further three years only makes this worse. The real living wage for London is currently calculated at ยฃ28,860, which means that any London-based graduate making just ยฃ40 more per month than the minimum needed to live there will automatically begin paying their debt. In real terms, this means practically any graduate in any form of full-time work will be paying as much as 9 per cent of their income to the state, and for a very, very long time. Worse still, the amount owed by those graduates below the threshold does not remain static โ€“ it accrues interest, year on year, whether youโ€™re working for low wages, volunteering, taking a career break or on maternity leave, ensuring that if you do pass the threshold some time later, you will be returning to find your original ยฃ27,000 much enlarged.

As any of my fellow literature or history graduates will tell you, however, the devil is in the details. For one thing, the threshold at which someone becomes a high earner was never particularly high and, following years of inflation, is now preposterously low. Rachel Reevesโ€™ announcement that the government are freezing the threshold at April 2026 levels (ยฃ29,385) for a further three years only makes this worse. The real living wage for London is currently calculated at ยฃ28,860, which means that any London-based graduate making just ยฃ40 more per month than the minimum needed to live there will automatically begin paying their debt. In real terms, this means practically any graduate in any form of full-time work will be paying as much as 9 per cent of their income to the state, and for a very, very long time. Worse still, the amount owed by those graduates below the threshold does not remain static โ€“ it accrues interest, year on year, whether youโ€™re working for low wages, volunteering, taking a career break or on maternity leave, ensuring that if you do pass the threshold some time later, you will be returning to find your original ยฃ27,000 much enlarged.

If the stateโ€™s attitude to what constitutes โ€œhigh earningsโ€ makes you think itโ€™s oblivious to the concept of inflation, let me put your mind at ease. When it comes to the calculation of student loan interest, they are very conscious of inflation indeed. Each year, the interest charged on student loans is calculated by two components. The first is the Retail Price Index (RPI), which generally records a higher number than the Consumer Price Index (CPI). Governments prefer the latter, lower figure for many of their other calculations, just not when it comes to adding extra debt to every graduate in the country. To this is added a second component, a percentage tied to each graduateโ€™s earnings, meaning that as your salary increases so too does the interest youโ€™re paying on the loan you took out. If you think this seems like a predatory and punitive way to bilk students for as much money, and over as long a period of time, as possible, then youโ€™re just about up to speed on this scandal, which amounts to a regressive stealth tax on every graduate in the UK. One which, itโ€™s calculated, you would need to be earning ยฃ66,000 per year to pay off in anything like a timely fashion.

If the stateโ€™s attitude to what constitutes โ€œhigh earningsโ€ makes you think itโ€™s oblivious to the concept of inflation, let me put your mind at ease. When it comes to the calculation of student loan interest, they are very conscious of inflation indeed. Each year, the interest charged on student loans is calculated by two components. The first is the Retail Price Index (RPI), which generally records a higher number than the Consumer Price Index (CPI). Governments prefer the latter, lower figure for many of their other calculations, just not when it comes to adding extra debt to every graduate in the country. To this is added a second component, a percentage tied to each graduateโ€™s earnings, meaning that as your salary increases so too does the interest youโ€™re paying on the loan you took out. If you think this seems like a predatory and punitive way to bilk students for as much money, and over as long a period of time, as possible, then youโ€™re just about up to speed on this scandal, which amounts to a regressive stealth tax on every graduate in the UK. One which, itโ€™s calculated, you would need to be earning ยฃ66,000 per year to pay off in anything like a timely fashion.

The debt burden of UK students is one of those things where, the more you look into the details, the more insane and predatory it is. So I tried my best to explain the numbers involved without making my, or your, head explode.

03.03.2026 09:12 โ€” ๐Ÿ‘ 285    ๐Ÿ” 107    ๐Ÿ’ฌ 13    ๐Ÿ“Œ 13

Suppose you know that x+y=100 and want to know what x and y are. Youโ€™re stuck right โ€“ thereโ€™s a whole range of possibilities for two numbers that sum to 100 (in maths we call this non-identifiability).

02.03.2026 03:46 โ€” ๐Ÿ‘ 10    ๐Ÿ” 5    ๐Ÿ’ฌ 1    ๐Ÿ“Œ 0
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How well did this year's flu shot work?

Interim results: Decently, not perfect.

"the risk of medically-attended influenza A(H3N2) illness was reduced by 40% among vaccinated relative to unvaccinated individuals."

tinyurl.com/emw36bfa by Separovic et al., in @eurosurveillance.org

02.03.2026 17:33 โ€” ๐Ÿ‘ 14    ๐Ÿ” 3    ๐Ÿ’ฌ 1    ๐Ÿ“Œ 0

We'd be in a better place if university leaders would constantly beat this drum. Teaching critical thinking makes for better neighbors and citizens, while creating knowledge for knowledge's sake has driven massive economic gains, often in unpredictable ways. Interfering with this is folly.

02.03.2026 07:27 โ€” ๐Ÿ‘ 21    ๐Ÿ” 6    ๐Ÿ’ฌ 0    ๐Ÿ“Œ 0

Thanks Tyler Cassidy for leading the charge on this, the excellent team of co-authors, and to @matrix-inst.bsky.social for hosting us.

02.03.2026 03:46 โ€” ๐Ÿ‘ 5    ๐Ÿ” 0    ๐Ÿ’ฌ 0    ๐Ÿ“Œ 0
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A Nonparametric Approach to Practical Identifiability of Nonlinear Mixed Effects Models - Bulletin of Mathematical Biology Mathematical modelling is a widely used approach to understand and interpret clinical trial data. This modelling typically involves fitting mechanistic mathematical models to data from individual tria...

Well it turns out if you know something about the distributions of x and y, you *can* (sometimes) separately estimate their population means.

We explored some biological applications of this idea here:
doi.org/10.1007/s115...

02.03.2026 03:46 โ€” ๐Ÿ‘ 12    ๐Ÿ” 3    ๐Ÿ’ฌ 1    ๐Ÿ“Œ 0

Now suppose you donโ€™t just have one measurement of x+y but many, clustered around 100 but with some variation.

How does this help? Surely x=y=50 is just as likely as x=10 and y=90?

02.03.2026 03:46 โ€” ๐Ÿ‘ 3    ๐Ÿ” 0    ๐Ÿ’ฌ 1    ๐Ÿ“Œ 0

Suppose you know that x+y=100 and want to know what x and y are. Youโ€™re stuck right โ€“ thereโ€™s a whole range of possibilities for two numbers that sum to 100 (in maths we call this non-identifiability).

02.03.2026 03:46 โ€” ๐Ÿ‘ 10    ๐Ÿ” 5    ๐Ÿ’ฌ 1    ๐Ÿ“Œ 0

Go on tell us how many life minutes you are losing each year

01.03.2026 02:48 โ€” ๐Ÿ‘ 1    ๐Ÿ” 0    ๐Ÿ’ฌ 0    ๐Ÿ“Œ 0

๐Ÿ˜ฎ

01.03.2026 02:46 โ€” ๐Ÿ‘ 1    ๐Ÿ” 0    ๐Ÿ’ฌ 1    ๐Ÿ“Œ 0

We're probably getting pretty close to 700 science jobs lost over this term of government, directly linked to reforms/cuts. And believe me: the country wasn't overflowing with them to start with.

26.02.2026 22:21 โ€” ๐Ÿ‘ 58    ๐Ÿ” 40    ๐Ÿ’ฌ 6    ๐Ÿ“Œ 0
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Introducing CAPphrase (Comparative and Absolute Probability phrase dataset), an open access dataset containing over 150,000 probability-based language judgements: adamkucharski.github.io/CAPphrase/

26.02.2026 10:45 โ€” ๐Ÿ‘ 40    ๐Ÿ” 14    ๐Ÿ’ฌ 1    ๐Ÿ“Œ 3

This recent RCT of an "AI stethoscope" claims the technology "shows promise" for diagnosing cardiovascular conditions.

It does not.

It is a textbook example of the risks of conducting unprincipled 'per protocol analyses'. Once again, peer review at a major medical journal has failed.

๐Ÿงต 1/

25.02.2026 16:44 โ€” ๐Ÿ‘ 415    ๐Ÿ” 184    ๐Ÿ’ฌ 8    ๐Ÿ“Œ 31
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There's some amazing work here - an incredible breadth of projects from drug discovery & clinical trials, to avian influenza surveillance, TB control, and community-led initiatives for drinking water safety. Very proud to have contributed in a small way to this
www.teniwha.com/news/ebook

26.02.2026 03:22 โ€” ๐Ÿ‘ 31    ๐Ÿ” 13    ๐Ÿ’ฌ 0    ๐Ÿ“Œ 0
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Bayesian joint modelling using @mc-stan.org of wastewater and hospital admissions in the US led by @kaitejohnson9.bsky.social and others at the US CDC

25.02.2026 15:23 โ€” ๐Ÿ‘ 13    ๐Ÿ” 4    ๐Ÿ’ฌ 2    ๐Ÿ“Œ 1
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Join us for the launch event! We are excited to invite you to the official launch of the Global Society for Infectious Disease Dynamics (GSIDD) on February 26th, 2026.This launch marks an important milestone for our global communi...

Launch of the Global Society of Infectious Disease Dynamics. ๐ŸŽ‰

2 online webinars on Thursday 26th.
Do join to see what it's all about, and get involved in the community as it kicks off!

www.gsidd.org/post/join-us...

25.02.2026 20:58 โ€” ๐Ÿ‘ 26    ๐Ÿ” 14    ๐Ÿ’ฌ 1    ๐Ÿ“Œ 1

Ah the animation's not working, maybe this will work
images.thespinoff.co.nz/1/2020/03/Co...

26.02.2026 03:30 โ€” ๐Ÿ‘ 3    ๐Ÿ” 1    ๐Ÿ’ฌ 0    ๐Ÿ“Œ 0
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You might be interested in this by the excellent @siouxsiew.bsky.social and @xtotl.bsky.social (not for vaccines but similar idea)

26.02.2026 03:29 โ€” ๐Ÿ‘ 2    ๐Ÿ” 0    ๐Ÿ’ฌ 2    ๐Ÿ“Œ 0

It drives me crazy that most people think that COVID-19 vaccines don't reduce transmission. They don't bring Reff <1, but the difference between spreading an infection to 2 people vs 1 person is huge at the scale of the population.

25.02.2026 19:05 โ€” ๐Ÿ‘ 705    ๐Ÿ” 143    ๐Ÿ’ฌ 24    ๐Ÿ“Œ 4
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There's some amazing work here - an incredible breadth of projects from drug discovery & clinical trials, to avian influenza surveillance, TB control, and community-led initiatives for drinking water safety. Very proud to have contributed in a small way to this
www.teniwha.com/news/ebook

26.02.2026 03:22 โ€” ๐Ÿ‘ 31    ๐Ÿ” 13    ๐Ÿ’ฌ 0    ๐Ÿ“Œ 0
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Except literally every data analysis or model I've ever asked AI to build has contained at least one error: www.nature.com/articles/d41...

Common response: "But someone just needs to give AI detailed instructions..."

But who is the "someone" in that sentence? And how did they get their expertise?

23.02.2026 11:37 โ€” ๐Ÿ‘ 116    ๐Ÿ” 27    ๐Ÿ’ฌ 5    ๐Ÿ“Œ 6

The last part abt how measles disrupts immunity vs other infections is, imo, underappreciated (& mechanism was recently clarified). It's part of why measles vaccination was seen to help beyond just reducing measles complications - not getting measles reduces severity of subsequent infections too.

22.02.2026 18:21 โ€” ๐Ÿ‘ 137    ๐Ÿ” 86    ๐Ÿ’ฌ 5    ๐Ÿ“Œ 6

Great talk on composable infectious disease modelling. Making real-time outbreak modelling more principled and flexible has been a long-standing challenge, and Sam has been leading the charge on solving it. With a growing group of people keen on this it feels like we're finally getting somewhere.

19.02.2026 10:43 โ€” ๐Ÿ‘ 12    ๐Ÿ” 4    ๐Ÿ’ฌ 1    ๐Ÿ“Œ 0

What could possibly go wrong?

17.02.2026 08:04 โ€” ๐Ÿ‘ 15    ๐Ÿ” 7    ๐Ÿ’ฌ 0    ๐Ÿ“Œ 0

"With user-pleasing AI agents getting faster at tasks โ€“ and potentially subject to less user scrutiny โ€“ thereโ€™s more need for statistical thinking than ever"

17.02.2026 06:05 โ€” ๐Ÿ‘ 6    ๐Ÿ” 6    ๐Ÿ’ฌ 0    ๐Ÿ“Œ 0
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I think news stories like this have been so frequent over the last six years that it's now "common knowledge" that covid ages your internal organs.

But, it's simply not true.

1/

14.02.2026 04:22 โ€” ๐Ÿ‘ 26    ๐Ÿ” 11    ๐Ÿ’ฌ 1    ๐Ÿ“Œ 1

Rakiura is a beautiful place - enjoy!

08.02.2026 00:04 โ€” ๐Ÿ‘ 1    ๐Ÿ” 0    ๐Ÿ’ฌ 0    ๐Ÿ“Œ 0

An example of how impacts of interventions can differ at individual and population levels, and are conditional on other events. Given a car hits you, the helmet helps. But mandating helmets could lower the # of bikes on the road & thus might increase the chance of getting hit in the first place.

05.02.2026 14:54 โ€” ๐Ÿ‘ 133    ๐Ÿ” 54    ๐Ÿ’ฌ 9    ๐Ÿ“Œ 4