{"id":11180,"date":"2012-03-23T11:51:53","date_gmt":"2012-03-23T16:51:53","guid":{"rendered":"http:\/\/www.realclimate.org\/?p=11180"},"modified":"2012-03-23T11:51:53","modified_gmt":"2012-03-23T16:51:53","slug":"data-presentation-a-trend-lesson","status":"publish","type":"post","link":"https:\/\/www.realclimate.org\/index.php\/archives\/2012\/03\/data-presentation-a-trend-lesson\/","title":{"rendered":"Data presentation: A trend lesson"},"content":{"rendered":"<div class=\"kcite-section\" kcite-section-id=\"11180\">\n<p>I just came across an interesting way to eliminate the impression of a global warming. A trick used to argue that the global warming had stopped, and the simple recipe is as follows:<\/p>\n<li>Cut off parts of the measurements and only keep the last 17 years. <\/li>\n<li>Plot all the months of these 17 years to get plenty of data points. <\/li>\n<li>A good idea is to show a streched plot with longer time axis. <\/li>\n<p><!--more--><\/p>\n<p>I&#8217;ve tried to reproduce the plot below (here is the <a href='http:\/\/www.realclimate.org\/images\/\/forskningno.txt'>R-script<\/a>):<\/p>\n<figure id=\"attachment_11183\" aria-describedby=\"caption-attachment-11183\" style=\"width: 650px\" class=\"wp-caption aligncenter\"><a href=\"http:\/\/www.realclimate.org\/images\/\/recenttrend2.jpg\"><img decoding=\"async\" data-src=\"http:\/\/www.realclimate.org\/images\/\/recenttrend2-1024x1024.jpg\" alt=\"\" title=\"FiveglobalmeanTanalyses\" width=\"650\" height=\"350\" class=\"size-large wp-image-11183 lazyload\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 650px; --smush-placeholder-aspect-ratio: 650\/350;\" \/><\/a><figcaption id=\"caption-attachment-11183\" class=\"wp-caption-text\">Plotting the monthly anomalies of the global mean temperature.<\/figcaption><\/figure>\n<p>At least, many different global analyses were shown &#8211; not just the one which indicates weakest trends since year 2000. The data presented in this case included both surface analyses (GISTEMP, NCDC, and HadCRUT3) in addition to satellite products for the lower troposphere (Microwave Sounding Unit &#8211; MSU). The MSU data tend to describe more pronounced peaks associated with the El Nino Southern Oscillation.<\/p>\n<p>A comparison between the <a href=\"http:\/\/static.forskning.no\/00\/31\/61\/79\/klimafigur1_None.full.jpg\">original version<\/a> of this plot and my reproduction (based on the same data sources) is presented below (here is a link to <a href='http:\/\/www.realclimate.org\/images\/\/sammenligning.pdf'>a PDF-version<\/a>). Note, my attempt is very close to the <a href=\"http:\/\/static.forskning.no\/00\/31\/61\/79\/klimafigur1_None.full.jpg\">original version<\/a>, but not identical. <\/p>\n<p><a href=\"http:\/\/static.forskning.no\/00\/31\/61\/79\/klimafigur1_None.full.jpg\"><a href=\"&lt;a href=&quot;http:\/\/static.forskning.no\/00\/31\/61\/79\/klimafigur1_None.full.jpg&quot;&gt;show&lt;\/a&gt;\"><img decoding=\"async\" alt=\"\" data-src=\"http:\/\/static.forskning.no\/00\/31\/61\/79\/klimafigur1_None.full.jpg\" title=\"Solheim-et-al\" class=\"alignnone lazyload\" width=\"300\" height=\"200\" align=left src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 300px; --smush-placeholder-aspect-ratio: 300\/200;\" \/><\/a><\/a> <a href=\"http:\/\/www.realclimate.org\/images\/\/recenttrend2.jpg\"><img decoding=\"async\" data-src=\"http:\/\/www.realclimate.org\/images\/\/recenttrend21.jpg\" alt=\"\" title=\"FiveglobalmeanTanalyses\" width=\"300\" height=\"200\" class=\"size-large wp-image-11183 lazyload\" align=right src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 300px; --smush-placeholder-aspect-ratio: 300\/200;\" \/><\/a><\/p>\n<p>One should note that plotting the same data over the their entire length (e.g. from the starting date of the satellites in 1979) will make global warming trends more visible (see figure below). Hence, the curves must be cropped to give the impression that the global warming has disappeared.  <\/p>\n<p><a href=\"http:\/\/www.realclimate.org\/images\/\/recenttrend3.jpg\"><img decoding=\"async\" data-src=\"http:\/\/www.realclimate.org\/images\/\/recenttrend3-1024x1024.jpg\" alt=\"\" title=\"recenttrend3\" width=\"550\" height=\"550\" class=\"aligncenter size-large wp-image-11198 lazyload\" data-srcset=\"https:\/\/www.realclimate.org\/images\/recenttrend3-1024x1024.jpg 1024w, https:\/\/www.realclimate.org\/images\/recenttrend3-150x150.jpg 150w, https:\/\/www.realclimate.org\/images\/recenttrend3-300x300.jpg 300w, https:\/\/www.realclimate.org\/images\/recenttrend3.jpg 1050w\" data-sizes=\"(max-width: 550px) 100vw, 550px\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 550px; --smush-placeholder-aspect-ratio: 550\/550;\" \/><\/a><\/p>\n<p>The real trick, however, is to show all the short-term variations. Hourly and daily values would be an over-kill, but showing monthly values works. Climate change involves time scales of many years, and hence if emphasis is given to much shorter time scales, the trends will drown in noisy variations. This can be seen if we show annual mean anomalies (as shown below for exactly the same data), rather than the monthly anomalies (again, done with the same <a href='http:\/\/www.realclimate.org\/images\/\/forskningno.txt'>R-script<\/a>)<\/p>\n<p><a href=\"http:\/\/www.realclimate.org\/images\/\/recenttrend1.jpg\"><img decoding=\"async\" data-src=\"http:\/\/www.realclimate.org\/images\/\/recenttrend1-1024x1024.jpg\" alt=\"\" title=\"recenttrend1\" width=\"550\" height=\"550\" class=\"aligncenter size-large wp-image-11199 lazyload\" data-srcset=\"https:\/\/www.realclimate.org\/images\/recenttrend1-1024x1024.jpg 1024w, https:\/\/www.realclimate.org\/images\/recenttrend1-150x150.jpg 150w, https:\/\/www.realclimate.org\/images\/recenttrend1-300x300.jpg 300w, https:\/\/www.realclimate.org\/images\/recenttrend1.jpg 1050w\" data-sizes=\"(max-width: 550px) 100vw, 550px\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 550px; --smush-placeholder-aspect-ratio: 550\/550;\" \/><\/a><\/p>\n<p>A linear trend fit to the annual mean anomalies the last 17 years suggest similar warming rates as reported by <span id=\"cite_ITEM-11180-0\" name=\"citation\"><a href=\"#ITEM-11180-0\">Grant Foster and Stefan Rahmstorf<\/a><\/span>. These trends are derived from exactly the same data as those used in the original figure, that was used to argue that the global warming had stopped &#8211; by two professors and a statistician, the very same who performed <a href=\"http:\/\/www.realclimate.org\/index.php\/archives\/2011\/12\/curve-fitting-and-natural-cycles-the-best-part\/\"> curve-fitting and removed data not fitting their conclusion<\/a>.<\/p>\n<h2>References<\/h2>\n    <ol>\n    <li><a name='ITEM-11180-0'><\/a>\nG. Foster, and S. Rahmstorf, \"Global temperature evolution 1979\u20132010\", <i>Environmental Research Letters<\/i>, vol. 6, pp. 044022, 2011. <a href=\"http:\/\/dx.doi.org\/10.1088\/1748-9326\/6\/4\/044022\">http:\/\/dx.doi.org\/10.1088\/1748-9326\/6\/4\/044022<\/a>\n\n\n<\/li>\n<\/ol>\n\n<\/div> <!-- kcite-section 11180 -->","protected":false},"excerpt":{"rendered":"<p>I just came across an interesting way to eliminate the impression of a global warming. A trick used to argue that the global warming had stopped, and the simple recipe is as follows: Cut off parts of the measurements and only keep the last 17 years. Plot all the months of these 17 years to [&hellip;]<\/p>\n","protected":false},"author":11,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_exactmetrics_skip_tracking":false,"_exactmetrics_sitenote_active":false,"_exactmetrics_sitenote_note":"","_exactmetrics_sitenote_category":0,"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"categories":[1,35,9,38,34],"tags":[],"class_list":{"0":"post-11180","1":"post","2":"type-post","3":"status-publish","4":"format-standard","6":"category-climate-science","7":"category-communicating-climate","8":"category-instrumental-record","9":"category-scientific-practice","10":"category-skeptics","11":"entry"},"aioseo_notices":[],"post_mailing_queue_ids":[],"_links":{"self":[{"href":"https:\/\/www.realclimate.org\/index.php\/wp-json\/wp\/v2\/posts\/11180","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.realclimate.org\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.realclimate.org\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.realclimate.org\/index.php\/wp-json\/wp\/v2\/users\/11"}],"replies":[{"embeddable":true,"href":"https:\/\/www.realclimate.org\/index.php\/wp-json\/wp\/v2\/comments?post=11180"}],"version-history":[{"count":61,"href":"https:\/\/www.realclimate.org\/index.php\/wp-json\/wp\/v2\/posts\/11180\/revisions"}],"predecessor-version":[{"id":11280,"href":"https:\/\/www.realclimate.org\/index.php\/wp-json\/wp\/v2\/posts\/11180\/revisions\/11280"}],"wp:attachment":[{"href":"https:\/\/www.realclimate.org\/index.php\/wp-json\/wp\/v2\/media?parent=11180"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.realclimate.org\/index.php\/wp-json\/wp\/v2\/categories?post=11180"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.realclimate.org\/index.php\/wp-json\/wp\/v2\/tags?post=11180"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}