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Eric Maugendre<p><span class="h-card" translate="no"><a href="https://a.gup.pe/u/data" class="u-url mention" rel="nofollow noopener" target="_blank">@<span>data</span></a></span> <span class="h-card" translate="no"><a href="https://a.gup.pe/u/datadon" class="u-url mention" rel="nofollow noopener" target="_blank">@<span>datadon</span></a></span> 🧵</p><p>How to assess a statistical model?<br>How to choose between variables?</p><p>Pearson's <a href="https://hachyderm.io/tags/correlation" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>correlation</span></a> is irrelevant if you suspect that the relationship is not a straight line.</p><p>If monotonic relationship:<br>"<a href="https://hachyderm.io/tags/Spearman" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Spearman</span></a>’s rho is particularly useful for small samples where weak correlations are expected, as it can detect subtle monotonic trends." It is "widespread across disciplines where the measurement precision is not guaranteed".<br>"<a href="https://hachyderm.io/tags/Kendall" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Kendall</span></a>’s Tau-b is less affected [than Spearman’s rho] by outliers in the data, making it a robust option for datasets with extreme values."<br>Ref: <a href="https://statisticseasily.com/kendall-tau-b-vs-spearman/" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">statisticseasily.com/kendall-t</span><span class="invisible">au-b-vs-spearman/</span></a></p><p><a href="https://hachyderm.io/tags/normality" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>normality</span></a> <a href="https://hachyderm.io/tags/normalDistribution" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>normalDistribution</span></a> <a href="https://hachyderm.io/tags/modeling" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>modeling</span></a> <a href="https://hachyderm.io/tags/dataDev" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>dataDev</span></a> <a href="https://hachyderm.io/tags/AIDev" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>AIDev</span></a> <a href="https://hachyderm.io/tags/ML" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ML</span></a> <a href="https://hachyderm.io/tags/modelEvaluation" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>modelEvaluation</span></a> <a href="https://hachyderm.io/tags/regression" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>regression</span></a> <a href="https://hachyderm.io/tags/modelling" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>modelling</span></a> <a href="https://hachyderm.io/tags/dataLearning" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>dataLearning</span></a> <a href="https://hachyderm.io/tags/featureEngineering" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>featureEngineering</span></a> <a href="https://hachyderm.io/tags/linearRegression" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>linearRegression</span></a> <a href="https://hachyderm.io/tags/modeling" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>modeling</span></a> <a href="https://hachyderm.io/tags/probability" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>probability</span></a> <a href="https://hachyderm.io/tags/probabilities" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>probabilities</span></a> <a href="https://hachyderm.io/tags/statistics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>statistics</span></a> <a href="https://hachyderm.io/tags/stats" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>stats</span></a> <a href="https://hachyderm.io/tags/correctionRatio" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>correctionRatio</span></a> <a href="https://hachyderm.io/tags/ML" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ML</span></a> <a href="https://hachyderm.io/tags/Pearson" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Pearson</span></a> <a href="https://hachyderm.io/tags/bias" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>bias</span></a> <a href="https://hachyderm.io/tags/regressionRedress" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>regressionRedress</span></a> <a href="https://hachyderm.io/tags/distributions" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>distributions</span></a></p>
Ariadne<p>“Climate change is now reaching the end-game, where very soon humanity must choose between taking unprecedented action, or accepting that it has been left too late and bear the consequences. Therefore, it is all the more important to listen to non-mainstream voices who do understand the issues and are less hesitant to cry wolf. Unfortunately for us, the wolf may already be in the house.”<br>- Hans-Joachim Schnellhuber, founding director of the Potsdam Institute for Climate Impact Research [1]</p><p>There is a 10% chance, according to <a href="https://kolektiva.social/tags/ClimateModels" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ClimateModels</span></a>, that we are on course for a total collapse of <a href="https://kolektiva.social/tags/Earth" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Earth</span></a>'s <a href="https://kolektiva.social/tags/climate" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>climate</span></a> (the <a href="https://kolektiva.social/tags/atmosphere" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>atmosphere</span></a> - <a href="https://kolektiva.social/tags/ocean" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ocean</span></a> <a href="https://kolektiva.social/tags/ClimateSystem" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ClimateSystem</span></a>) - 6°C of <a href="https://kolektiva.social/tags/GlobalWarming" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>GlobalWarming</span></a> above <a href="https://kolektiva.social/tags/PreIndustrial" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>PreIndustrial</span></a> (pre-1750) levels [1]. Which is what 700 ppm atmospheric <a href="https://kolektiva.social/tags/CO2" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>CO2</span></a> would bring. We are projected to reach 700 ppm CO2 in 2075 (and 950 ppm by 2100) [2]. This would mean not only <a href="https://kolektiva.social/tags/EconomicCollapse" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>EconomicCollapse</span></a> and complete breakdown of <a href="https://kolektiva.social/tags/human" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>human</span></a> <a href="https://kolektiva.social/tags/society" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>society</span></a>, but a 6th <a href="https://kolektiva.social/tags/MassExtinction" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MassExtinction</span></a> of nearly all <a href="https://kolektiva.social/tags/species" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>species</span></a>. And very likely near extinction of humans. Would you board an aircraft that you knew had a 10% <a href="https://kolektiva.social/tags/probability" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>probability</span></a> of crashing? Well, the <a href="https://kolektiva.social/tags/IPCC" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>IPCC</span></a> and most mainstream scientists apparently would. 38% of the denizens of <a href="https://kolektiva.social/tags/Mastodon" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Mastodon</span></a> who responded to a poll I did the other day would at least consider boarding an aircraft with a 1% chance of crashing. If 1% of aircraft flights ended in a crash, that would mean over 1,000 crashes per day. At 10% probability of a crash it would be 10,000 per day. Unthinkable, right? Apparently not. Not when it comes to playing with the earth's <a href="https://kolektiva.social/tags/climate" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>climate</span></a>. There's still a 90% chance of this not happening, after all, the IPCC reasons. So it is not “very likely”, not even “likely”. This represents ignorance of <a href="https://kolektiva.social/tags/risk" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>risk</span></a> and <a href="https://kolektiva.social/tags/RiskAnalysis" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>RiskAnalysis</span></a>, ignorance of the way <a href="https://kolektiva.social/tags/probability" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>probability</span></a> and <a href="https://kolektiva.social/tags/statistics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>statistics</span></a> works in <a href="https://kolektiva.social/tags/ComplexSystems" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ComplexSystems</span></a>, ignorance of <a href="https://kolektiva.social/tags/FatTail" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>FatTail</span></a> probability distributions, ignorance of the fact that all <a href="https://kolektiva.social/tags/NaturalSystems" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>NaturalSystems</span></a> are complex systems, which by their nature are subject to <a href="https://kolektiva.social/tags/TippingPoints" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>TippingPoints</span></a> – and a bizarre belief that the <a href="https://kolektiva.social/tags/NormalDistribution" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>NormalDistribution</span></a> (the so-called <a href="https://kolektiva.social/tags/BellCurve" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>BellCurve</span></a>) applies to natural systems, which it decidedly does not. Allow me to elaborate.</p><p>A couple of days ago, I ran a <a href="https://kolektiva.social/tags/ClimateCrisis" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ClimateCrisis</span></a> <a href="https://kolektiva.social/tags/poll" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>poll</span></a> masquerading as a poll asking if you would board an aircraft which you knew had a 1% chance of crashing. The hints that this poll was allegorical were the <a href="https://kolektiva.social/tags/Climate" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Climate</span></a> hashtags and the link to the straightforward climate poll I ran in parallel with it.) As to the latter, which asked “Can we ignore unlikely but high risk <a href="https://kolektiva.social/tags/GlobalWarming" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>GlobalWarming</span></a> scenarios?”, 80% of respondents to both the German and English versions said “Absolutely Not! We risk annihilation of <a href="https://kolektiva.social/tags/Earth" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Earth</span></a>!” Only 7% picked “the <a href="https://kolektiva.social/tags/IPCC" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>IPCC</span></a> ignores these [scenarios]. Me too.” This closely mirrors a statistically valid poll of 14,000 adult German citizens published in August 2021 in which 74% of people responded that humanity is about to face an <a href="https://kolektiva.social/tags/ecological" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ecological</span></a> <a href="https://kolektiva.social/tags/catastrophe" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>catastrophe</span></a> [3]. But surprisingly (shockingly?) 20% of respondents to the “aircraft crash” poll said they would board the aircraft even if they knew there was a 1% chance of it crashing, and 18% said they weren't sure and “would have to think about it” (94 people responded to the “aircraft” poll, 45 to the “climate” poll). Which means 38% of people would at least consider boarding such a plane. Very bad idea.</p><p>Now <a href="https://kolektiva.social/tags/Mastodon" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Mastodon</span></a> polls are in no way statistically valid (but then neither are many commercial polls that get touted by news organizations). Nonetheless, the results are very illuminating when it comes to how the IPCC, <a href="https://kolektiva.social/tags/governments" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>governments</span></a>, <a href="https://kolektiva.social/tags/business" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>business</span></a>, and indeed the <a href="https://kolektiva.social/tags/ScientificCommunity" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ScientificCommunity</span></a> are dealing, or rather not dealing, with the fact that there is not a 1% probability but a 10% chance that <a href="https://kolektiva.social/tags/humans" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>humans</span></a> have put our planet on a trajectory in which <a href="https://kolektiva.social/tags/humans" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>humans</span></a> and most <a href="https://kolektiva.social/tags/species" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>species</span></a> may well become <a href="https://kolektiva.social/tags/extinct" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>extinct</span></a> sometime in the 22nd Century. And <a href="https://kolektiva.social/tags/SocietalCollapse" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>SocietalCollapse</span></a> will likely happen later in our present century. The level of ignorance of <a href="https://kolektiva.social/tags/probability" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>probability</span></a> and <a href="https://kolektiva.social/tags/statistics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>statistics</span></a> in <a href="https://kolektiva.social/tags/NaturalSystems" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>NaturalSystems</span></a>, specifically the <a href="https://kolektiva.social/tags/ocean" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ocean</span></a> - <a href="https://kolektiva.social/tags/atmosphere" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>atmosphere</span></a> system – demonstrated by the IPCC and many mainstream scientists shockingly parallels the ignorance of these same subjects by 38% of the respondents to the “aircraft poll”. (For one thing, there are projected to be about 40,000,000 aircraft flights in 2023 [4]. If there were a 1% chance of a crash, that would mean 400,000 crashes this year, or over 1000 crashes per day. And yet, when we look dispassionately at the <a href="https://kolektiva.social/tags/ClimateScience" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ClimateScience</span></a>, we are treating the very real models of human-caused global-warming (Anthropogenic Global Warming, or <a href="https://kolektiva.social/tags/AGW" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>AGW</span></a>) as if we've intentionally boarded an aircraft that has a 10% chance of crashing. Which would mean 10,000 aircraft crashes every day. Unthinkable, right? Surely no one would ever board an aircraft if this were the case.</p><p>In the case of Earth's climate, what would constitute a “crash”, the complete collapse of human society, nearly complete <a href="https://kolektiva.social/tags/MassExtinction" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MassExtinction</span></a> of most terrestrial species, a broad band (± 20° latitude north and south of the equator) of our <a href="https://kolektiva.social/tags/oceans" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>oceans</span></a> at hot tub temperatures, and an even broader band (± 30° N/S of the equator) which would be uninhabitable for humans, and large regions even further north and south (the <a href="https://kolektiva.social/tags/American" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>American</span></a> <a href="https://kolektiva.social/tags/Southwest" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Southwest</span></a>, the interior of <a href="https://kolektiva.social/tags/Australia" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Australia</span></a>, most of the <a href="https://kolektiva.social/tags/Mediterranean" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Mediterranean</span></a>, <a href="https://kolektiva.social/tags/Arabia" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Arabia</span></a>, <a href="https://kolektiva.social/tags/Spain" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Spain</span></a>, <a href="https://kolektiva.social/tags/Portugal" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Portugal</span></a>, <a href="https://kolektiva.social/tags/India" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>India</span></a>, <a href="https://kolektiva.social/tags/Pakistan" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Pakistan</span></a>, the south of <a href="https://kolektiva.social/tags/France" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>France</span></a>, to name a few) which would be uninhabitable during the summer months? Scientists agree that 6°C of global warming above <a href="https://kolektiva.social/tags/PreIndustrial" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>PreIndustrial</span></a> (before 1750 CE) would certainly do it; quite possibly less than that, due to positive <a href="https://kolektiva.social/tags/FeedbackLoops" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>FeedbackLoops</span></a>, but let's be conservative, like most scientists, and go with 6°C. What are the chances of that? Well, the chance of 6°C of warming within the next 100 years is 10%! </p><p>Here is an excellent graphic (see attached screenshot) from the economists Gernot Wagner's and Martin Weitzman's 2015 book “Climate shock: the economic consequences of a hotter planet” [5] (well worth a read, by the way). That doesn't quite look like a Normal distribution, does it? A pretty wonky looking “bell curve”. That's because the statistics that underlie the curve are not Normally distributed. It is not a bell curve. A Normal distribution is based upon the statistical concept known as the Central Limit Theorem <a href="https://kolektiva.social/tags/CentralLimitTheorem" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>CentralLimitTheorem</span></a>, and the Law of [Statistical] Universality which arises from it. And that law works great – when it is applied to data whose variables do not interact with each other or with other systems, when there are no higher order interactions of variables, when there are no <a href="https://kolektiva.social/tags/FeedbackLoops" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>FeedbackLoops</span></a>, etc. If you're looking at a distribution of the heights or weights of 1000 randomly selected <a href="https://kolektiva.social/tags/penguins" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>penguins</span></a>, or people, the data will be Normally distributed, it will follow a “bell curve”, because the Central Limit Theorem tells us it will be so, and the Law of Universality must apply. But none of this is true for natural systems, whether a <a href="https://kolektiva.social/tags/biome" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>biome</span></a>, an <a href="https://kolektiva.social/tags/ecosystem" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ecosystem</span></a>, or the ocean-atmosphere system that is (primarily) responsible for Earth's climate. There is another kind of statistical universality, indeed a statistical law of universality, that applies to all complex systems, and thus all natural systems, called Tracy-Widom Universality (first elaborated in 1992 by the mathematicians Craig Tracy and Harold Widom) [6]. The statistical distributions that arise from Tracy-Widom Universality are not symmetrical “bell curves” but skewed distributions with “fat tails”. Exactly that of the statistical likelihood of reaching or exceeding 6°C of global warming as shown in Wagner's and Weitzman's figure.</p><p>Are we totally screwed? Or rather, have we totally screwed ourselves and the planet? As of now, it certainly looks that way. And perhaps we are collectively okay with this. There is after all a 90% chance we won't reach or exceed 6°C of warming. But even the mainstream climate science community acknowledges we are headed for 3°C - 4°C of global warming, and headed there very soon, which will probably be more than enough to set off the collapse of the climate, of the atmospheric and ocean circulation system. And a single species, in about 300 years time, will have managed to destroy the bluest and greenest and most living of planets, 4.5 billion years in the making. It is simply not right.</p><p>[1] <a href="https://www.breakthroughonline.org.au/whatliesbeneath" rel="nofollow noopener" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">breakthroughonline.org.au/what</span><span class="invisible">liesbeneath</span></a></p><p>[2] <a href="https://yaleclimateconnections.org/2019/06/data-from-earths-past-holds-a-warning-for-our-future-under-climate-change/" rel="nofollow noopener" target="_blank"><span class="invisible">https://</span><span class="ellipsis">yaleclimateconnections.org/201</span><span class="invisible">9/06/data-from-earths-past-holds-a-warning-for-our-future-under-climate-change/</span></a></p><p>[3] <a href="https://www.fom.de/2021/august/deutschlandweite-fom-umfrage-zur-klimakrise.html" rel="nofollow noopener" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">fom.de/2021/august/deutschland</span><span class="invisible">weite-fom-umfrage-zur-klimakrise.html</span></a></p><p>[4] <a href="https://www.statista.com/statistics/564769/airline-industry-number-of-flights/" rel="nofollow noopener" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">statista.com/statistics/564769</span><span class="invisible">/airline-industry-number-of-flights/</span></a></p><p>[5] <a href="https://archive.org/details/climateshockecon0000wagn/page/53/mode/1up?view=theater" rel="nofollow noopener" target="_blank"><span class="invisible">https://</span><span class="ellipsis">archive.org/details/climatesho</span><span class="invisible">ckecon0000wagn/page/53/mode/1up?view=theater</span></a></p><p>[6] <a href="https://www.quantamagazine.org/beyond-the-bell-curve-a-new-universal-law-20141015/" rel="nofollow noopener" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">quantamagazine.org/beyond-the-</span><span class="invisible">bell-curve-a-new-universal-law-20141015/</span></a></p><p><a href="https://kolektiva.social/tags/Klimakrise" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Klimakrise</span></a> <a href="https://kolektiva.social/tags/Klimawandel" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Klimawandel</span></a> <a href="https://kolektiva.social/tags/Klima" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Klima</span></a> <a href="https://kolektiva.social/tags/Erderw%C3%A4rmung" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Erderwärmung</span></a> <a href="https://kolektiva.social/tags/Erderhitzung" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Erderhitzung</span></a> <a href="https://kolektiva.social/tags/Atmosph%C3%A4re" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Atmosphäre</span></a> <a href="https://kolektiva.social/tags/Ozean" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Ozean</span></a> <a href="https://kolektiva.social/tags/Klimamodell" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Klimamodell</span></a></p>