Measuring Intergenerational Mobility Multidimensionally

Measuring Intergenerational Mobility Multidimensionally | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Measuring Intergenerational Mobility Multidimensionally Kan Sun This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4685303/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract This paper proposes a multidimensional approach to measuring intergenerational mobility. First, we briefly review the three primary approaches for measuring intergenerational mobility in the current literature, where mobility is measured in one dimension at a time. We then propose an oriented approach capable of separately measuring upward and downward mobility, considering multiple dimensions simultaneously, and addressing fully ordinal and cardinal data. For fully ordinal data, we advocate using the standard AF identification (Alkire and Foster, 2011a) process, tracking changes in the number of deprivations across generations. For fully cardinal data, we propose utilizing the modified AF identification (Sun, 2024) to construct a comprehensive individual-based index representing overall well-being tracked over generations. The proposed method adheres to critical properties, including decomposability, replication invariance, symmetry, and properties derived from the axiom of expansion. Application of our method to data from the Panel Study of Income Dynamics (PSID) reveals less upward mobility and overall mobility from 2011 to 2021 compared to 2001 to 2011, offering valuable insights for longitudinal comparisons. Multidimensional Intergenerational Mobility Measurement Alkire-Foster Method Cardinal variables Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. 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Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-4685303","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":333908879,"identity":"07572032-36b6-48aa-a836-5b67dcb7d3a6","order_by":0,"name":"Kan Sun","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAoUlEQVRIiWNgGAWjYBACCRDxAcI2IF4L4wyStTDzkKRFsv+M2WObX4cTG9ibt0kQpUVaIsfcOLcPqIXnWBlxWuQkeMykc3tuJzZI5JgRqYX/jJm0JUiL/BsitUgz5JhJM/wA2cJDpBbJGWllkr0N/43beNKKLYjSInH+8DaJH3/SZPvZD2+8QZQWMGBsY2BgI145GPwhUf0oGAWjYBSMLAAAd9oqVnMTj+UAAAAASUVORK5CYII=","orcid":"","institution":"Fudan University","correspondingAuthor":true,"prefix":"","firstName":"Kan","middleName":"","lastName":"Sun","suffix":""}],"badges":[],"createdAt":"2024-07-04 09:14:15","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-4685303/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-4685303/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":63116056,"identity":"26f351be-b0d8-4df7-a9a2-c2042871b13b","added_by":"auto","created_at":"2024-08-23 09:54:26","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":319680,"visible":true,"origin":"","legend":"","description":"","filename":"SpringerNatureMobility.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4685303/v1_covered_780a27ab-0348-4521-a973-4e8a3d72c91a.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Measuring Intergenerational Mobility Multidimensionally","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"Multidimensional Intergenerational Mobility Measurement, Alkire-Foster Method, Cardinal variables","lastPublishedDoi":"10.21203/rs.3.rs-4685303/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4685303/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eThis paper proposes a multidimensional approach to measuring intergenerational mobility. 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