Hot and bothered over climate maths
These are painful times for those hoping to see an international consensus and substantive action on global warming.
In the US, Republican presidential front-runner Mitt Romney said in June 2011: “The world is getting warmer” and “humans have contributed” but in October 2011 he backtracked to: “My view is that we don’t know what’s causing climate change on this planet.”
His Republican challenger Rick Santorum added: “We have learned to be sceptical of ‘scientific’ claims, particularly those at war with our common sense” and Rick Perry, who suspended his campaign to become the Republican presidential candidate last month, stated flatly: “It’s all one contrived phony mess that is falling apart under its own weight.”
Meanwhile, the scientific consensus has moved in the opposite direction. In a study published in October 2011, 97 per cent of climate scientists surveyed agreed global temperatures have risen over the past 100 years. Only 5 per cent disagreed that human activity is a significant cause of global warming.
The study concluded in the following way: “We found disagreement over the future effects of climate change, but not over the existence of anthropogenic global warming.
“Indeed, it is possible that the growing public perception of scientific disagreement over the existence of anthropocentric warming, which was stimulated by press accounts of [the UK’s] ”Climategate“ is actually a misperception of the normal range of disagreements that may persist within a broad scientific consensus.”
More progress has been made in Europe, where the EU has established targets to reduce emissions by 20 per cent (from 1990 levels) by 2020. The UK, which has been beset by similar denial movements, was nonetheless able to establish, as a legally binding target, an 80 per cent reduction by 2050 and is a world leader on abatement.
In Australia, any prospect for consensus was lost when Tony Abbott used opposition to the Labor government’s proposed carbon market to replace Malcolm Turnbull as leader of the Federal Opposition in late 2009.
It used to be possible to hear right-wing politicians in Australia or the US echo the Democratic congressman Henry Waxman, who said last year:
“If my doctor told me I had cancer, I wouldn’t scour the country to find someone to tell me that I don’t need to worry about it.”
But such rationality has largely left the debate in both the US and Australia. In Australia, a reformulated carbon tax policy was enacted in November only after a highly partisan debate.
In Canada, the debate is a tad more balanced. The centre-right Liberal government in British Columbia passed the first carbon tax in North America in 2008, but the governing Federal Conservative party now offers a reliable “anti-Kyoto” partnership with Washington.
Overviews of the evidence for global warming, together with responses to common questions, are available from various sources, including:
- Seven Answers to Climate Contrarian Nonsense, in Scientific American
- Climate change: A Guide for the Perplexed, in New Scientist
- Cooling the Warming Debate: Major New Analysis Confirms That Global Warming Is Real, in Science Daily
- Remind me again: how does climate change work?, on The Conversation
It should be acknowledged in these analyses that all projections are based on mathematical models with a significant level of uncertainty regarding highly complex and only partially understood systems.
As 2011 Australian Nobel-Prize-winner Brian Schmidt explained while addressing a National Forum on Mathematical Education:
“Climate models have uncertainty and the earth has natural variation … which not only varies year to year, but correlates decade to decade and even century to century. It is really hard to design a figure that shows this in a fair way – our brain cannot deal with the correlations easily.
“But we do have mathematical ways of dealing with this problem. The Australian academy reports currently indicate that the models with the effects of CO2 are with 90 per cent statistical certainty better at explaining the data than those without.
“Most of us who work with uncertainty know that 90 per cent statistical uncertainty cannot be easily shown within a figure – it is too hard to see …”
“ … Since predicting the exact effects of climate change is not yet possible, we have to live with uncertainty and take the consensus view that warming can cover a wide range of possibilities, and that the view might change as we learn more.”
But uncertainty is no excuse for inaction. The proposed counter-measures (e.g. infrastructure renewal and modernisation, large-scale solar and wind power, better soil remediation and water management, not to mention carbon taxation) are affordable and most can be justified on their own merits, while the worst-case scenario – do nothing while the oceans rise and the climate changes wildly – is unthinkable.
Some in the first world protest that any green energy efforts are dwarfed by expanding energy consumption in China and elsewhere. Sure, China’s future energy needs are prodigious, but China also now leads the world in green energy investment.
By blaming others and focusing the debate on the level of human responsibility for warming and about the accuracy of predictions, the deniers have managed to derail long-term action in favour of short-term economic policies.
Who in the scientific community is promoting the denial of global warming? As it turns out, the leading figures in this movement have ties to conservative research institutes funded mostly by large corporations, and have a history of opposing the scientific consensus on issues such as tobacco and acid rain.
What’s more, those who lead the global warming denial movement – along with creationists, intelligent design writers and the “mathematicians” who flood our email inboxes with claims that pi is rational or other similar nonsense – are operating well outside the established boundaries of peer-reviewed science.
Austrian-born American physicist Fred Singer, arguably the leading figure of the denial movement, has only six peer-reviewed publications in the climate science field, and none since 1997.
After all, when issues such as these are “debated” in any setting other than a peer-reviewed journal or conference, one must ask: “If the author really has a solid argument, why isn’t he or she back in the office furiously writing up this material for submission to a leading journal, thereby assuring worldwide fame and glory, not to mention influence?”
In most cases, those who attempt to grab public attention through other means are themselves aware they are short-circuiting the normal process, and that they do not yet have the sort of solid data and airtight arguments that could withstand the withering scrutiny of scientific peer review.
When they press their views in public to a populace that does not understand how the scientific enterprise operates, they are being disingenuous.
With regards to claims scientists are engaged in a “conspiracy” to hide the “truth” on an issue such as global warming or evolution, one should ask how a secret “conspiracy” could be maintained in a worldwide, multicultural community of hundreds of thousands of competitive researchers.
As Benjamin Franklin wrote in his Poor Richard’s Almanac: “Three can keep a secret, provided two of them are dead.” Or as one of your present authors quipped, tongue-in-cheek, in response to a state legislator who was skeptical of evolution: “You have no idea how humiliating this is to me – there is a secret conspiracy among leading scientists, but no-one deemed me important enough to be included!”
There’s another way to think about such claims: we have tens of thousands of senior scientists in their late-fifties or early-sixties who have seen their retirement savings decimated by the recent stock market plunge. These are scientists who now wonder if the day will ever come when they are financially well-off-enough to do their research without the constant stress and distraction of applying for grants (the majority of which are never funded).
All one of these scientists has to do to garner both worldwide fame and considerable fortune (through book contracts, the lecture circuit and TV deals) is to call a news conference and expose “the truth”. So why isn’t this happening?
The system of peer-reviewed journals and conferences sponsored by major professional societies is the only proper forum for the presentation and debate of new ideas, in any field of science or mathematics.
It has been stunningly successful: errors have been uncovered, fraud has been rooted out and bogus scientific claims (such as the 1903 N-ray claim, the 1989 cold fusion claim, and the more-recent assertion of an autism-vaccination link) have been debunked.
This all occurs with a level of reliability and at a speed that is hard to imagine in other human endeavours. Those who attempt to short-circuit this system are doing potentially irreparable harm to the integrity of the system.
They may enrich themselves or their friends, but they are doing grievous damage to society at large.
A version of this article first appeared on Math Drudge. Jon Borwein is a Laureate Professor of Mathematics at the University of Newcastle.
This article was originally published on The Conversation – theconversation.edu.au Reproduced with permission.

Comments on this article
Nice article...Tim, you don't understand climate change, do you.
This is an excellent but I must say disturbing article.
As for Tim, as an economist I can't see how any science journal of quality would accept your peer-reviewed paper (and who are these peers?).
I work with climate scientists by the score. Many of them work in the field and take real-world measurements. They test their models agains real world events and the results are impressively close to reality because they use basic physics.
Proof can be fond in the fact that the forecasts of IPCC 4 are mighty close to exactly what we are experiencing.
The capper was your comment about 7 degrees bringing joy to Europe. Seriously, you must be kidding. Have a look back into prehistory and see the Earth was like when it was only 5 degrees warmer.
And this cold winter, there is every indication it is caused by a warming Arctic Ocean creating a high pressure system north of Europe. The result, Arctic air goes south to Europe and warm air goes north. That may explain why for the past 3-6 weeks the refreezing of the Arctic in winter stopped and then reversed.
I'm sure the money markets can live with your bizarre predictions, but scientists and the rest of society cannot.
Back to the subject at hand...
I think it is depressing that the entire scientific process is under attack. We've already seen scientists themselves and their results abused pretty regularly, not to mention fake science. Look for news stories on the Heartland Institute. Looks like tactics that 'worked' for intelligent design are being recycled.
Also depressed at how easily these threads get off topic. It seems to happen when a scepticalist throws up a red herring and all the climate defenders rush off to chase it. Tends to degenerate into an off-putting slanting match. Which may be the point.
So, I'd like to say, good article Jon. Glad it's available on this site so that comments are possible.
Timothy Northcott and the cancer analogy
Pleistocene ice core records show that atmospheric [CO2] has rarely exceeded 300 ppm in the last 0.8 million years - up until the 20th century.
In "Target Atmospheric CO2: Where Should Humanity Aim?", Hansen et al review a lot of earth system science (other than Pleistocene ice core record) and conclude that we should not allow atmospheric CO2 to exceed 350 ppm.
Atmospheric [CO2] exceeded 350 ppm a quarter century ago, and has rocketed further up since then.
To use Timothy's analogy, the cancer may be as yet easily removed, but it is already metastasising.
Memo Timothy Curtin - how to give joy to wintry Europe.
I refer Mr Curtin to "Impact of sea ice cover changes on the Northern Hemisphere atmospheric winter circulation", Tellus A 2012, 64, 11595, DOI: 10.3402/tellusa.v64i0.11595; (Tellus A is the International Meteorological Institute's journal series with an emphasis on dynamic meteorology and oceanography), in which Jaiser et al explain how and why the extent of Arctic summer ice melting indicates the propensity of freezing Arctic air masses to intrude on the subsequent European winter.
That is, Mr Curtin, if we want Europeans to not suffer these savage winters, then we avoid destabilising Arctic air masses in the previous summer. We do this by not forcing melting of Arctic ice, in turn effected by limiting the extent to which we warm the North Atlantic, which we do by limiting CO2 emissions thereby allowing accumulating heat to dissipate back to space instead of heating the oceans.
I trust this clarifies the issue for Mr Curtin.
Ignore statistics?
Timothy, I am incredulous.
The first step in studying a climatic phenomenon (such as el NIño, the Southern Annular mode etc) is to question whether it is predictable or stochastic.
Of course one may build assumptions into a model to see what happens; this is experimentation.
I doubt anyone completely ignores statistics or relies totally on models.
No-one claims carbon dioxide is the root of all evil. It is just that when all known possible sources for the global warming we see are considered, the only one that fits the bill is that arising from the increased concentration in atmospheric carbon dioxide mankind is causing.
As Borwein points out, if you do indeed demonstrate statistically that this CO2 is insignificant you will be famous.
Bizarre
Tim Curtin has a new theory of global warming - you know the one where it only warms in winter to help us save on heating bills.
I had to read his contribution twice as I could not believe that it is possible to be that statistically innumerate.
Tim - where did the 7oC figure come from?
And global warming refers to a global average - you know average over the whole earth and year. And yes summers will still be warmer than winters - the earth will continue to orbit the sun.
The cancer analogy
If me doctor told me I had cancer I would expect him to treat it accordingly - that is if I had small skin neoplasm on my hand I would not expect him to advocate cutting my arm off followed closely by chemo & radiation therapy. The treatment would involve a small blast of N2 and I would be on my way. As much as the alarmist would like you to believe it, the world is not in it's death throes and does not require a prescription of radical surgery.
temperature rise
Jon,
Whichever way you look at the data, on many many counts things are going the wrong way. So regardless of the precise trajectory, we are making changes that are unprecedented ...like really fast.
7C in winter also means 7C in summer ... how would Europe fare with that?
Also if Europe got 7C, given current information, the arctic would probably be about 20C warmer .....
Jon Borwein
Climate scientists and mathematicians like Borwein do indeed assume the climate is deterministic, hence their total reliance on computer models, and complete avoidance of statistical analysis of the stochastic real climate world.
My peer-reviewed paper for an international science journal is now in galley proofs, watch this space for when it appears, as it shows how statistical (multi-variate regressions) analysis refutes the deterministic "CO2 is the root of all evil" view of the world exemplified by the article here.
Borwein's article also illustrates the lack of common sense of himself and all the 97% of 411 scientists he cites – an increase of even 7oC in current winter temperatures across Europe would create only joy and reduce current high mortality (always worse in winter everywhere than in summer).