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The Minard Map - "The best statistical graphic ever drawn"
Vital statistics of Napoleon's deadliest campaign
“The best statistical graphic ever drawn“, is how statistician Edward Tufte described this chart in his authoritative work ‘The Visual Display of Quantitative Information’.
The chart, or statistical graphic, is also a map. And a strange one at that. It depicts the advance into (1812) and retreat from (1813) Russia by Napoleon’s Grande Armée, which was decimated by a combination of the Russian winter, the Russian army and its scorched-earth tactics. To my knowledge, this is the origin of the term ‘scorched earth’ – the retreating Russians burnt anything that might feed or shelter the French, thereby severely weakening Napoleon’s army.
As a statistical chart, the map unites six different sets of data. • Geography: rivers, cities and battles are named and placed according to their occurrence on a regular map. • The army’s course: the path’s flow follows the way in and out that Napoleon followed. • The army’s direction: indicated by the colour of the path, gold leading into Russia, black leading out of it. • The number of soldiers remaining: the path gets successively narrower, a plain reminder of the campaigns human toll, as each millimetre represents 10.000 men. • Temperature: the freezing cold of the Russian winter on the return trip is indicated at the bottom, in the republican measurement of degrees of réaumur (water freezes at 0° réaumur, boils at 80° réaumur). • Time: in relation to the temperature indicated at the bottom, from right to left, starting 24 October (pluie, i.e. ‘rain’) to 7 December (-27°).
Pause a moment to ponder the horrific human cost represented by this map: Napoleon entered Russia with 442.000 men, took Moscow with only 100.000 men left, wandered around its abandoned ruins for some time and escaped the East’s wintry clutches with barely 10.000 shivering soldiers. Those include 6.000 rejoining the ‘bulk’ of the army from up north. Napoleon never recovered from this blow, and would be decisively beaten at Waterloo under two years later.
Almost exactly a century and three decades later, Hitler would repeat Napoleon’s mistake by again underestimating the vastness of Russia, the inhospitability of its winters and the determination of the Russians.
The Economist, which in its last issue of 2007 published a story on the way in which some charts succesfully visualise statistical data (yes, those editorial meetings must be a riot), pointed out that “As men tried, and mostly failed to cross the Berezina river under heavy attack, the width of the black line halves: another 20,000 or so gone. The French now use the expression C’est la Bérézina to describe a total disaster.”
The map was the work of Charles Joseph Minard (1781-1870), a French civil engineer who was an inspector-general of bridges and roads, but whose most remembered legacy is in the field of statistical graphics, producing this and other maps in his retirement. This is a translation of the legend at the top of the map:
Figurative chart of the successive losses in men by the French army in the Russian campaign 1812-1813. Drawn up by Mr Minard, inspector-general of bridges and roads (retired). Paris, 20 November 1869. The number of men present is symbolised by the broadness of the coloured zones at a rate of one millimetre for ten thousand men; furthermore, those numbers are written across the zones. The red signifies the men who entered Russia, the black those who got out of it. The data used to draw up this chart were found in the works of Messrs. Thiers, de Ségur, de Fezensac, de Chambray and the unpublished journal of Jacob, pharmacist of the French army since 28 October. To better represent the diminution of the army, I’ve pretended that the army corps of Prince Jerôme and of Marshall Davousz which were detached at Minsk and Mobilow and rejoined the main force at Orscha and Witebsk, had always marched together with the army.
Jas Ellis sent me this link to the aforementioned Economist article, which enumerates and shows several other interesting infographics. It also has the clearest, most detailed reproduction of the Minard map I’ve ever seen; the map had been suggested to me previously by several readers, among whom Brian Westley, M. Kranz and Stephen Eckett.
Strange Maps #229
Got a strange map? Let me know at email@example.com.
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The team caught a glimpse of a process that takes 18,000,000,000,000,000,000,000 years.
- In Italy, a team of scientists is using a highly sophisticated detector to hunt for dark matter.
- The team observed an ultra-rare particle interaction that reveals the half-life of a xenon-124 atom to be 18 sextillion years.
- The half-life of a process is how long it takes for half of the radioactive nuclei present in a sample to decay.
Gender and sexual minority populations are experiencing rising anxiety and depression rates during the pandemic.
- Anxiety and depression rates are spiking in the LGBTQ+ community, and especially in individuals who hadn't struggled with those issues in the past.
- Overall, depression increased by an average PHQ-9 score of 1.21 and anxiety increased by an average GAD-7 score of 3.11.
- The researchers recommended that health care providers check in with LGBTQ+ patients about stress and screen for mood and anxiety disorders—even among those with no prior history of anxiety or depression.
Study findings<p>For the study, <a href="https://link.springer.com/article/10.1007/s11606-020-05970-4" target="_blank">published in the Journal of General Internal Medicine</a><em>, </em>Flentje and her team evaluated survey responses from nearly 2,300 individuals who identified as being in the lesbian, gay, bisexual, transgender, and queer (LGBTQ+) community. Most of the participants were white, while nearly 19 percent identified as a racial or ethnic minority. Multiple genders were represented with cisgender women (27.2 percent) and men (24.6 percent) making up a majority of the participants. Sixty-three percent had been assigned female at birth. For the most part, participants identified their sexual orientations as queer (40.3 percent), gay (36.5 percent), and bisexual (30.3 percent).</p><p>The JGIM study participants were recruited from the 18,000-participant <a href="https://pridestudy.org/" target="_blank">PRIDE Study</a> (Population Research in Identity and Disparities for Equality), which is the first large-scale, long-term national study focusing on American adults who identify as LGBTQ+. It conducts annual questionnaires to understand factors related to health and disease in this population. </p><p>Participants filled out an annual questionnaire (starting in June 2019) and a COVID-19 impact survey this past spring. Flentje noted that on an individual level, some people may not have experienced a big change in anxiety or depression levels, but for others there was. Overall, depression increased by a <a href="https://patient.info/doctor/patient-health-questionnaire-phq-9" target="_blank">PHQ-9 score</a> of 1.21, putting it at 8.31 on average. Anxiety went up by a <a href="https://www.mdcalc.com/gad-7-general-anxiety-disorder-7" target="_blank">GAD-7</a> score of 3.11 to an average of 8.89. Interestingly, the average PHQ-9 scores for those who screened positive for depression at the first 2019 survey decreased by 1.08. Those who screened negative for depression saw their PHQ-9 scores increase by 2.17 on average. As for anxiety, researchers detected no GAD-7 change among the study participants who screened positive for anxiety in the first survey, but did see an overall increase of 3.93 among those who had initially been evaluated as negative for the disorder. </p>
Risks among gender and sexual minorities<span style="display:block;position:relative;padding-top:56.25%;" class="rm-shortcode" data-rm-shortcode-id="fc3fd1ae68b77bbbf58a6995638d6d65"><iframe type="lazy-iframe" data-runner-src="https://www.youtube.com/embed/EnUqDjCqg0A?rel=0" width="100%" height="auto" frameborder="0" scrolling="no" style="position:absolute;top:0;left:0;width:100%;height:100%;"></iframe></span><p>The LGBTQ+ community is a vulnerable population to mental health concerns because of their fear of stigmatization and previous discriminatory experiences.</p> <p>Previous research by the Human Rights Campaign has found "that LGBTQ Americans are more likely than the <a href="https://medicalxpress.com/tags/general+population/" target="_blank">general population</a> to live in poverty and lack access to adequate medical care, paid <a href="https://medicalxpress.com/tags/medical+leave/" target="_blank">medical leave</a>, and basic necessities during the pandemic," said researcher Tari Hanneman, director of the health and aging program at the campaign.</p> <p>"Therefore, it is not surprising to see this increase in anxiety and depression among this population," Hanneman said in the release. "This study highlights the need for <a href="https://medicalxpress.com/tags/health+care+professionals/" target="_blank">health care professionals</a> to support, affirm and provide <a href="https://medicalxpress.com/tags/critical+care/" target="_blank">critical care</a> for the LGBTQ community to manage and maintain their mental health, as well as their physical health, during this pandemic."</p>
What should health care providers do?<p>The authors of the study recommend that health care providers check in with LGBTQ+ patients about stress and screen for mood and anxiety disorders in members of that community—even among those with no prior history of anxiety or depression.</p><p>As cases of COVID-19 continue to mount, the sustained social distancing, potential isolation, economic precariousness, and personal illness, grief, and loss are bound to have increased and varied impacts on mental health. Effective treatments may include individual therapy and medications as well as more large-scale coronavirus support programs like peer-led groups and mindfulness practices. </p><p>"It will be important to find out what happens over time and to identify who is most at risk, so we can be sure to roll out public health interventions to support the mental health of our communities in the best and most effective ways," said Flentje.</p>
What we know about black holes is both fascinating and scary.
- When it comes to black holes, science simultaneously knows so much and so little, which is why they are so fascinating. Focusing on what we do know, this group of astronomers, educators, and physicists share some of the most incredible facts about the powerful and mysterious objects.
- A black hole is so massive that light (and anything else it swallows) can't escape, says Bill Nye. You can't see a black hole, theoretical physicists Michio Kaku and Christophe Galfard explain, because it is too dark. What you can see, however, is the distortion of light around it caused by its extreme gravity.
- Explaining one unsettling concept from astrophysics called spaghettification, astronomer Michelle Thaller says that "If you got close to a black hole there would be tides over your body that small that would rip you apart into basically a strand of spaghetti that would fall down the black hole."