{"id":5417,"date":"2018-10-26T11:09:06","date_gmt":"2018-10-26T09:09:06","guid":{"rendered":"https:\/\/www.sciencespo.fr\/research\/cogito\/home\/?p=5417"},"modified":"2018-11-30T09:11:56","modified_gmt":"2018-11-30T07:11:56","slug":"distributing-trade-mapsthe-gravity-equation","status":"publish","type":"post","link":"https:\/\/www.sciencespo.fr\/research\/cogito\/home\/distributing-trade-mapsthe-gravity-equation\/?lang=en","title":{"rendered":"Distributing trade maps: the gravity equation"},"content":{"rendered":"<p><a href=\"https:\/\/www.sciencespo.fr\/research\/cogito\/wp-content\/uploads\/2018\/10\/continents-1757596_640.jpg\"><img decoding=\"async\" loading=\"lazy\" class=\"alignleft wp-image-5189\" title=\"International trade. Pixabay. CC0 Creative Commons\" src=\"https:\/\/www.sciencespo.fr\/research\/cogito\/wp-content\/uploads\/2018\/10\/continents-1757596_640-300x212.jpg\" alt=\"International trade. Pixabay. CC0 Creative Commons\" width=\"250\" height=\"177\" srcset=\"https:\/\/www.sciencespo.fr\/research\/cogito\/wp-content\/uploads\/2018\/10\/continents-1757596_640-300x212.jpg 300w, https:\/\/www.sciencespo.fr\/research\/cogito\/wp-content\/uploads\/2018\/10\/continents-1757596_640-207x146.jpg 207w, https:\/\/www.sciencespo.fr\/research\/cogito\/wp-content\/uploads\/2018\/10\/continents-1757596_640-50x35.jpg 50w, https:\/\/www.sciencespo.fr\/research\/cogito\/wp-content\/uploads\/2018\/10\/continents-1757596_640-106x75.jpg 106w, https:\/\/www.sciencespo.fr\/research\/cogito\/wp-content\/uploads\/2018\/10\/continents-1757596_640.jpg 640w\" sizes=\"(max-width: 250px) 100vw, 250px\" \/><\/a><\/p>\n<p><span style=\"font-weight: 400;\">Economics present a surprising empirical regularity expressed by what is called the gravity equation: <\/span><span style=\"font-weight: 400;\">in a given year, over at least the past century for which precise data exists, the value of exports has been approximately proportional to the size of countries, and inversely proportional to the geographical<br \/>\ndistance separating them.<\/span><span style=\"font-weight: 400;\"> In other words, two countries 500 km apart trade twice as much as two countries 1,000 km apart, all other things being equal.<\/span><\/p>\n<h4>Globalization doesn\u2019t change anything?<\/h4>\n<p><span style=\"font-weight: 400;\">The role played by geographical distance has remained a mystery since the Dutch economist Jan Tinbergen discovered the gravity equation in 1962. It runs counter the impression we have when we observe the power and global presence of increasingly global brands like Apple, Heineken, and Toyota. Yet the data confirm it: distance has the same impact on international trade activity today as it did in 1880. The world is not becoming flat!<a href=\"https:\/\/www.sciencespo.fr\/research\/cogito\/wp-content\/uploads\/2018\/10\/beer-676541_960_720.jpg\"><img decoding=\"async\" loading=\"lazy\" class=\"alignright wp-image-5217 size-medium\" title=\"Heineken. CC0 Creative Commons, Pixabay\" src=\"https:\/\/www.sciencespo.fr\/research\/cogito\/wp-content\/uploads\/2018\/10\/beer-676541_960_720-300x169.jpg\" alt=\"Heineken. CC0 Creative Commons, Pixabay\" width=\"300\" height=\"169\" srcset=\"https:\/\/www.sciencespo.fr\/research\/cogito\/wp-content\/uploads\/2018\/10\/beer-676541_960_720-300x169.jpg 300w, https:\/\/www.sciencespo.fr\/research\/cogito\/wp-content\/uploads\/2018\/10\/beer-676541_960_720-768x432.jpg 768w, https:\/\/www.sciencespo.fr\/research\/cogito\/wp-content\/uploads\/2018\/10\/beer-676541_960_720-260x146.jpg 260w, https:\/\/www.sciencespo.fr\/research\/cogito\/wp-content\/uploads\/2018\/10\/beer-676541_960_720-50x28.jpg 50w, https:\/\/www.sciencespo.fr\/research\/cogito\/wp-content\/uploads\/2018\/10\/beer-676541_960_720-133x75.jpg 133w, https:\/\/www.sciencespo.fr\/research\/cogito\/wp-content\/uploads\/2018\/10\/beer-676541_960_720.jpg 960w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/a><\/span><\/p>\n<p><span style=\"font-weight: 400;\">This empirical consistency is all the more intriguing that it is precise and stable. It is one of the empirical regularities in economics that most closely resembles regularities observed in physics. <\/span><\/p>\n<h4>The world is different depending on whether one is big or small!<\/h4>\n<p><span style=\"font-weight: 400;\">Thomas Chaney, a professor in Sciences Po\u2019s department of economics, offers a simple explanation for this apparent mystery. In his article \u201c<\/span><a href=\"https:\/\/www.journals.uchicago.edu\/doi\/abs\/10.1086\/694292?journalCode=jpe\"><span style=\"font-weight: 400;\">The Gravity Equation in International Trade: An Explanation<\/span><\/a><span style=\"font-weight: 400;\">\u201d, published in the prestigious &#8220;The Journal of Political Economy&#8221;, he observes that geographical distance has a negligible impact on the largest firms, which are also the most visible ones. He notes on the contrary that distance is of considerable importance for small companies. The main reason for this is that direct relationships with clients and suppliers are essential for them, and maintaining these relationships over long distances is cost-prohibitive.<\/span><\/p>\n<h4><a href=\"https:\/\/www.sciencespo.fr\/research\/cogito\/wp-content\/uploads\/2018\/10\/shutterstock_70779100.jpg\"><img decoding=\"async\" loading=\"lazy\" class=\"wp-image-5212 size-medium alignleft\" title=\"container-ship @Shutterstock\" src=\"https:\/\/www.sciencespo.fr\/research\/cogito\/wp-content\/uploads\/2018\/10\/shutterstock_70779100-300x199.jpg\" alt=\"container-ship @Shutterstock\" width=\"300\" height=\"199\" srcset=\"https:\/\/www.sciencespo.fr\/research\/cogito\/wp-content\/uploads\/2018\/10\/shutterstock_70779100-300x199.jpg 300w, https:\/\/www.sciencespo.fr\/research\/cogito\/wp-content\/uploads\/2018\/10\/shutterstock_70779100-768x510.jpg 768w, https:\/\/www.sciencespo.fr\/research\/cogito\/wp-content\/uploads\/2018\/10\/shutterstock_70779100-220x146.jpg 220w, https:\/\/www.sciencespo.fr\/research\/cogito\/wp-content\/uploads\/2018\/10\/shutterstock_70779100-50x33.jpg 50w, https:\/\/www.sciencespo.fr\/research\/cogito\/wp-content\/uploads\/2018\/10\/shutterstock_70779100-113x75.jpg 113w, https:\/\/www.sciencespo.fr\/research\/cogito\/wp-content\/uploads\/2018\/10\/shutterstock_70779100.jpg 1000w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/a>The national distribution of firm size as the key to unlocking the mystery<\/h4>\n<p><span style=\"font-weight: 400;\">From this observation, Thomas Chaney infers that the effect of geographical distance on trade flows between countries depends on the relative importance \u2013 the distribution \u2013 of small and large exporting firms in a given country. And he mathematically demonstrates that depending on the distribution of the size of exporters, aggregate exports remain inversely proportional to the distance to their destination. In other words, even if all the firms end up escaping gravity as they grow, so long as the distribution of the size of exporting firms in a country remains stable, dividing the distance of its exports by two will continue to double their value.<\/span> <span style=\"font-weight: 400;\">\u00a0He is therefore suggesting that the key to understanding the mystery of the precise role of distance in international trade lies in the distribution of the size of firms. <\/span><\/p>\n<h4><strong><a href=\"https:\/\/www.flickr.com\/photos\/cvalette\/9629292621\"><img decoding=\"async\" loading=\"lazy\" class=\"alignright wp-image-5197\" title=\"Tablettes archa\u00efques Sumer 1a\/3. Image : Claude Valette. CC BY-ND 2.0\" src=\"https:\/\/www.sciencespo.fr\/research\/cogito\/wp-content\/uploads\/2018\/10\/9629292621_2ea99a61bf_z-300x252.jpg\" alt=\"Tablettes archa\u00efques Sumer 1a\/3. Image : Claude Valette. CC BY-ND 2.0\" width=\"200\" height=\"168\" srcset=\"https:\/\/www.sciencespo.fr\/research\/cogito\/wp-content\/uploads\/2018\/10\/9629292621_2ea99a61bf_z-300x252.jpg 300w, https:\/\/www.sciencespo.fr\/research\/cogito\/wp-content\/uploads\/2018\/10\/9629292621_2ea99a61bf_z-174x146.jpg 174w, https:\/\/www.sciencespo.fr\/research\/cogito\/wp-content\/uploads\/2018\/10\/9629292621_2ea99a61bf_z-50x42.jpg 50w, https:\/\/www.sciencespo.fr\/research\/cogito\/wp-content\/uploads\/2018\/10\/9629292621_2ea99a61bf_z-89x75.jpg 89w, https:\/\/www.sciencespo.fr\/research\/cogito\/wp-content\/uploads\/2018\/10\/9629292621_2ea99a61bf_z.jpg 640w\" sizes=\"(max-width: 200px) 100vw, 200px\" \/><\/a><\/strong>And 4,000 years ago?<\/h4>\n<p><span style=\"font-weight: 400;\">Moreover, in a recent study on trade during the Bronze Age (\u201c<\/span><a href=\"https:\/\/economics.stanford.edu\/sites\/default\/files\/bcch-bronzeagetrade.pdf\"><span style=\"font-weight: 400;\">Trade, Merchants, and the Lost Cities of the Bronze Age<\/span><\/a><span style=\"font-weight: 400;\">\u201d), Thomas Chaney and his coauthors show that 4,000 years ago geographical distance had double the impact on trade that it has today: moving from 1,000 to 500 km multiplied trade flows by 4, versus the current 2 today. A possible explanation is that during the Bronze Age there were no coalitions of merchants as important as today\u2019s big businesses. It would be a challenging but worthy hypothesis to test! <\/span><\/p>\n<p>&nbsp;<\/p>\n<div class=\"idea_box\"><div class=\"icon\"><i class=\"icon-lamp\"><\/i><\/div><div class=\"desc\"><a href=\"http:\/\/spire.sciencespo.fr\/hdl:\/2441\/3prr99c1788e0996vprsotar33\" target=\"_blank\" rel=\"noopener\">Thomas Chaney publications<\/a> <\/div><\/div>\n\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Economics present a surprising empirical regularity expressed by what is called the gravity equation: in a given year, over at least the past century for<span class=\"excerpt-hellip\"> [\u2026]<\/span><\/p>\n","protected":false},"author":3,"featured_media":5207,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[33,172],"tags":[78],"_links":{"self":[{"href":"https:\/\/www.sciencespo.fr\/research\/cogito\/home\/wp-json\/wp\/v2\/posts\/5417\/?lang=en"}],"collection":[{"href":"https:\/\/www.sciencespo.fr\/research\/cogito\/home\/wp-json\/wp\/v2\/posts\/?lang=en"}],"about":[{"href":"https:\/\/www.sciencespo.fr\/research\/cogito\/home\/wp-json\/wp\/v2\/types\/post\/?lang=en"}],"author":[{"embeddable":true,"href":"https:\/\/www.sciencespo.fr\/research\/cogito\/home\/wp-json\/wp\/v2\/users\/3\/?lang=en"}],"replies":[{"embeddable":true,"href":"https:\/\/www.sciencespo.fr\/research\/cogito\/home\/wp-json\/wp\/v2\/comments\/?lang=en&post=5417"}],"version-history":[{"count":5,"href":"https:\/\/www.sciencespo.fr\/research\/cogito\/home\/wp-json\/wp\/v2\/posts\/5417\/revisions\/?lang=en"}],"predecessor-version":[{"id":5716,"href":"https:\/\/www.sciencespo.fr\/research\/cogito\/home\/wp-json\/wp\/v2\/posts\/5417\/revisions\/5716\/?lang=en"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.sciencespo.fr\/research\/cogito\/home\/wp-json\/wp\/v2\/media\/5207\/?lang=en"}],"wp:attachment":[{"href":"https:\/\/www.sciencespo.fr\/research\/cogito\/home\/wp-json\/wp\/v2\/media\/?lang=en&parent=5417"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.sciencespo.fr\/research\/cogito\/home\/wp-json\/wp\/v2\/categories\/?lang=en&post=5417"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.sciencespo.fr\/research\/cogito\/home\/wp-json\/wp\/v2\/tags\/?lang=en&post=5417"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}