{"id":59429,"date":"2021-11-30T14:23:00","date_gmt":"2021-11-30T14:23:00","guid":{"rendered":"https:\/\/www.lse.ac.uk\/granthaminstitute\/?post_type=publication&#038;p=59429"},"modified":"2022-04-05T14:27:49","modified_gmt":"2022-04-05T13:27:49","slug":"on-the-appropriate-and-inappropriate-uses-of-probability-distributions-in-climate-projections-and-some-alternatives","status":"publish","type":"publication","link":"https:\/\/www.lse.ac.uk\/granthaminstitute\/publication\/on-the-appropriate-and-inappropriate-uses-of-probability-distributions-in-climate-projections-and-some-alternatives\/","title":{"rendered":"On the appropriate and inappropriate uses of probability distributions in climate projections and some alternatives"},"content":{"rendered":"<!DOCTYPE html PUBLIC \"-\/\/W3C\/\/DTD HTML 4.0 Transitional\/\/EN\" \"http:\/\/www.w3.org\/TR\/REC-html40\/loose.dtd\">\n<?xml encoding=\"UTF-8\"><p>When do probability distribution functions (PDFs) about future climate misrepresent uncertainty? How can we recognise when such misrepresentation occurs and thus avoid it in reasoning about or communicating our uncertainty? And when we should not use a PDF, what should we do instead? In this paper, we address these three questions. We start by providing a classification of types of uncertainty and using this classification to illustrate when PDFs misrepresent our uncertainty in a way that may adversely affect decisions. We then discuss when it is reasonable and appropriate to use a PDF to reason about or communicate uncertainty about climate. We consider two perspectives on this issue. On one, which we argue is preferable, available theory and evidence in climate science basically exclude using PDFs to represent our uncertainty. On the other, PDFs can legitimately be provided when resting on appropriate expert judgement and recognition of associated risks. Once we have specified the border between appropriate and inappropriate uses of PDFs, we explore alternatives to their use. We briefly describe two formal alternatives, namely imprecise probabilities and possibilistic distribution functions, as well as informal possibilistic alternatives. We suggest that the possibilistic alternatives are preferable.<\/p>\n\n\n\n<p><strong><em>Katzav, J., Thompson, E.L., Risbey, J. et al. On the appropriate and inappropriate uses of probability distributions in climate projections and some alternatives. Climatic Change 169, 15 (2021). https:\/\/doi.org\/10.1007\/s10584-021-03267-x<\/em><\/strong><\/p>\n\n","protected":false},"excerpt":{"rendered":"<!DOCTYPE html PUBLIC \"-\/\/W3C\/\/DTD HTML 4.0 Transitional\/\/EN\" \"http:\/\/www.w3.org\/TR\/REC-html40\/loose.dtd\">\n<?xml encoding=\"UTF-8\"><p>When do probability distribution functions (PDFs) about future climate misrepresent uncertainty? How can we recognise when such misrepresentation occurs and&hellip;<\/p>\n\n","protected":false},"author":12,"featured_media":0,"template":"","tags":[775,269],"publication-type":[436],"topic_area":[],"class_list":["post-59429","publication","type-publication","status-publish","hentry","tag-probability","tag-uncertainty","publication-type-research-articles"],"acf":{"exclude_from_sync":{"ref_value":"field_560538b0e7350","value":"0","type":false,"post_type":""},"downloads":{"ref_value":"field_52f16cc1a80f2","value":false,"type":"repeater","post_type":""},"rss_newsletter":{"ref_value":"field_54f5c2c1544d8","value":"","type":false,"post_type":""},"profile_link":{"ref_value":"field_52f164b5189e9","value":["erica-thompson","david-stainforth"],"type":"relationship","post_type":"profile"},"article_link":{"ref_value":"field_52eee3c7f0586","value":"https:\/\/link.springer.com\/article\/10.1007\/s10584-021-03267-x","type":false,"post_type":""},"article_link_title":{"ref_value":"field_5322399d89d42","value":"external link to paper","type":false,"post_type":""},"spotlight":{"ref_value":"field_52f80896506d3","value":"","type":false,"post_type":""}},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>On the appropriate and inappropriate uses of probability distributions in climate projections and some alternatives - Grantham Research Institute on climate change and the environment<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.lse.ac.uk\/granthaminstitute\/publication\/on-the-appropriate-and-inappropriate-uses-of-probability-distributions-in-climate-projections-and-some-alternatives\/\" \/>\n<meta property=\"og:locale\" content=\"en_GB\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"On the appropriate and inappropriate uses of probability distributions in climate projections and some alternatives - Grantham Research Institute on climate change and the environment\" \/>\n<meta property=\"og:description\" content=\"When do probability distribution functions (PDFs) about future climate misrepresent uncertainty? How can we recognise when such misrepresentation occurs and...\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.lse.ac.uk\/granthaminstitute\/publication\/on-the-appropriate-and-inappropriate-uses-of-probability-distributions-in-climate-projections-and-some-alternatives\/\" \/>\n<meta property=\"og:site_name\" content=\"Grantham Research Institute on climate change and the environment\" \/>\n<meta property=\"article:modified_time\" content=\"2022-04-05T13:27:49+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Estimated reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/www.lse.ac.uk\\\/granthaminstitute\\\/publication\\\/on-the-appropriate-and-inappropriate-uses-of-probability-distributions-in-climate-projections-and-some-alternatives\\\/\",\"url\":\"https:\\\/\\\/www.lse.ac.uk\\\/granthaminstitute\\\/publication\\\/on-the-appropriate-and-inappropriate-uses-of-probability-distributions-in-climate-projections-and-some-alternatives\\\/\",\"name\":\"On the appropriate and inappropriate uses of probability distributions in climate projections and some alternatives - Grantham Research Institute on climate change and the environment\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/www.lse.ac.uk\\\/granthaminstitute\\\/#website\"},\"datePublished\":\"2021-11-30T14:23:00+00:00\",\"dateModified\":\"2022-04-05T13:27:49+00:00\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/www.lse.ac.uk\\\/granthaminstitute\\\/publication\\\/on-the-appropriate-and-inappropriate-uses-of-probability-distributions-in-climate-projections-and-some-alternatives\\\/#breadcrumb\"},\"inLanguage\":\"en-GB\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/www.lse.ac.uk\\\/granthaminstitute\\\/publication\\\/on-the-appropriate-and-inappropriate-uses-of-probability-distributions-in-climate-projections-and-some-alternatives\\\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/www.lse.ac.uk\\\/granthaminstitute\\\/publication\\\/on-the-appropriate-and-inappropriate-uses-of-probability-distributions-in-climate-projections-and-some-alternatives\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/www.lse.ac.uk\\\/granthaminstitute\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Publications\",\"item\":\"https:\\\/\\\/www.lse.ac.uk\\\/granthaminstitute\\\/?post_type=publication\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"All research\",\"item\":\"https:\\\/\\\/www.lse.ac.uk\\\/granthaminstitute\\\/publication-type\\\/new-research\\\/\"},{\"@type\":\"ListItem\",\"position\":4,\"name\":\"Research article\",\"item\":\"https:\\\/\\\/www.lse.ac.uk\\\/granthaminstitute\\\/publication-type\\\/research-articles\\\/\"},{\"@type\":\"ListItem\",\"position\":5,\"name\":\"On the appropriate and inappropriate uses of probability distributions in climate projections and some alternatives\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/www.lse.ac.uk\\\/granthaminstitute\\\/#website\",\"url\":\"https:\\\/\\\/www.lse.ac.uk\\\/granthaminstitute\\\/\",\"name\":\"Grantham Research Institute on climate change and the environment\",\"description\":\"The Grantham Research Institute at LSE carries out world-class research on climate change and the environment.\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/www.lse.ac.uk\\\/granthaminstitute\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-GB\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"On the appropriate and inappropriate uses of probability distributions in climate projections and some alternatives - Grantham Research Institute on climate change and the environment","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.lse.ac.uk\/granthaminstitute\/publication\/on-the-appropriate-and-inappropriate-uses-of-probability-distributions-in-climate-projections-and-some-alternatives\/","og_locale":"en_GB","og_type":"article","og_title":"On the appropriate and inappropriate uses of probability distributions in climate projections and some alternatives - Grantham Research Institute on climate change and the environment","og_description":"When do probability distribution functions (PDFs) about future climate misrepresent uncertainty? How can we recognise when such misrepresentation occurs and...","og_url":"https:\/\/www.lse.ac.uk\/granthaminstitute\/publication\/on-the-appropriate-and-inappropriate-uses-of-probability-distributions-in-climate-projections-and-some-alternatives\/","og_site_name":"Grantham Research Institute on climate change and the environment","article_modified_time":"2022-04-05T13:27:49+00:00","twitter_card":"summary_large_image","twitter_misc":{"Estimated reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/www.lse.ac.uk\/granthaminstitute\/publication\/on-the-appropriate-and-inappropriate-uses-of-probability-distributions-in-climate-projections-and-some-alternatives\/","url":"https:\/\/www.lse.ac.uk\/granthaminstitute\/publication\/on-the-appropriate-and-inappropriate-uses-of-probability-distributions-in-climate-projections-and-some-alternatives\/","name":"On the appropriate and inappropriate uses of probability distributions in climate projections and some alternatives - Grantham Research Institute on climate change and the environment","isPartOf":{"@id":"https:\/\/www.lse.ac.uk\/granthaminstitute\/#website"},"datePublished":"2021-11-30T14:23:00+00:00","dateModified":"2022-04-05T13:27:49+00:00","breadcrumb":{"@id":"https:\/\/www.lse.ac.uk\/granthaminstitute\/publication\/on-the-appropriate-and-inappropriate-uses-of-probability-distributions-in-climate-projections-and-some-alternatives\/#breadcrumb"},"inLanguage":"en-GB","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.lse.ac.uk\/granthaminstitute\/publication\/on-the-appropriate-and-inappropriate-uses-of-probability-distributions-in-climate-projections-and-some-alternatives\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/www.lse.ac.uk\/granthaminstitute\/publication\/on-the-appropriate-and-inappropriate-uses-of-probability-distributions-in-climate-projections-and-some-alternatives\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/www.lse.ac.uk\/granthaminstitute\/"},{"@type":"ListItem","position":2,"name":"Publications","item":"https:\/\/www.lse.ac.uk\/granthaminstitute\/?post_type=publication"},{"@type":"ListItem","position":3,"name":"All research","item":"https:\/\/www.lse.ac.uk\/granthaminstitute\/publication-type\/new-research\/"},{"@type":"ListItem","position":4,"name":"Research article","item":"https:\/\/www.lse.ac.uk\/granthaminstitute\/publication-type\/research-articles\/"},{"@type":"ListItem","position":5,"name":"On the appropriate and inappropriate uses of probability distributions in climate projections and some alternatives"}]},{"@type":"WebSite","@id":"https:\/\/www.lse.ac.uk\/granthaminstitute\/#website","url":"https:\/\/www.lse.ac.uk\/granthaminstitute\/","name":"Grantham Research Institute on climate change and the environment","description":"The Grantham Research Institute at LSE carries out world-class research on climate change and the environment.","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/www.lse.ac.uk\/granthaminstitute\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-GB"}]}},"taxonomies":{"post_tag":["probability","uncertainty"],"publication-type":["Research article"]},"_links":{"self":[{"href":"https:\/\/www.lse.ac.uk\/granthaminstitute\/wp-json\/wp\/v2\/publication\/59429","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.lse.ac.uk\/granthaminstitute\/wp-json\/wp\/v2\/publication"}],"about":[{"href":"https:\/\/www.lse.ac.uk\/granthaminstitute\/wp-json\/wp\/v2\/types\/publication"}],"author":[{"embeddable":true,"href":"https:\/\/www.lse.ac.uk\/granthaminstitute\/wp-json\/wp\/v2\/users\/12"}],"version-history":[{"count":2,"href":"https:\/\/www.lse.ac.uk\/granthaminstitute\/wp-json\/wp\/v2\/publication\/59429\/revisions"}],"predecessor-version":[{"id":59431,"href":"https:\/\/www.lse.ac.uk\/granthaminstitute\/wp-json\/wp\/v2\/publication\/59429\/revisions\/59431"}],"wp:attachment":[{"href":"https:\/\/www.lse.ac.uk\/granthaminstitute\/wp-json\/wp\/v2\/media?parent=59429"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.lse.ac.uk\/granthaminstitute\/wp-json\/wp\/v2\/tags?post=59429"},{"taxonomy":"publication-type","embeddable":true,"href":"https:\/\/www.lse.ac.uk\/granthaminstitute\/wp-json\/wp\/v2\/publication-type?post=59429"},{"taxonomy":"topic_area","embeddable":true,"href":"https:\/\/www.lse.ac.uk\/granthaminstitute\/wp-json\/wp\/v2\/topic_area?post=59429"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}