<!doctype html><html lang="en" class="no-js"><head><meta charset="utf-8"> <!-- begin SEO --><title> Equivalisation (once again) - Barra Roantree Trinity College Dublin</title><meta property="og:locale" content="en-UK"><meta property="og:site_name" content="Barra Roantree | Trinity College Dublin"><meta property="og:title" content="Equivalisation (once again)"><link rel="canonical" href="https://barraroantree.github.io/publications/2026-06-30-equiv.md"><meta property="og:url" content="https://barraroantree.github.io/publications/2026-06-30-equiv.md"><meta property="og:description" name="description" content="Estimated equivalence scales for adults and children over time.AdultsChildren"><meta property="og:type" content="article"><meta property="article:published_time" content="2026-06-30T00:00:00+00:00"> <script type="application/ld+json"> { "@context" : "http://schema.org", "@type" : "Person", "name" : "Barra Roantree", "url" : "https://barraroantree.github.io", "sameAs" : null } </script> <!-- end SEO --><link href="https://barraroantree.github.io/feed.xml" type="application/atom+xml" rel="alternate" title="Barra Roantree | Trinity College Dublin Feed"> <!-- http://t.co/dKP3o1e --><meta name="HandheldFriendly" content="True"><meta name="MobileOptimized" content="320"><meta name="viewport" content="width=device-width, initial-scale=1.0"> <script> document.documentElement.className = document.documentElement.className.replace(/\bno-js\b/g, '') + ' js '; </script> <!-- For all browsers --><link rel="stylesheet" href="https://barraroantree.github.io/assets/css/main.css"><meta http-equiv="cleartype" content="on"> <!-- start custom head snippets --><link rel="apple-touch-icon" sizes="57x57" href="https://barraroantree.github.io/images/apple-touch-icon-57x57.png?v=M44lzPylqQ"><link rel="apple-touch-icon" sizes="60x60" href="https://barraroantree.github.io/images/apple-touch-icon-60x60.png?v=M44lzPylqQ"><link rel="apple-touch-icon" sizes="72x72" href="https://barraroantree.github.io/images/apple-touch-icon-72x72.png?v=M44lzPylqQ"><link rel="apple-touch-icon" sizes="76x76" href="https://barraroantree.github.io/images/apple-touch-icon-76x76.png?v=M44lzPylqQ"><link rel="apple-touch-icon" sizes="114x114" href="https://barraroantree.github.io/images/apple-touch-icon-114x114.png?v=M44lzPylqQ"><link rel="apple-touch-icon" sizes="120x120" href="https://barraroantree.github.io/images/apple-touch-icon-120x120.png?v=M44lzPylqQ"><link rel="apple-touch-icon" sizes="144x144" href="https://barraroantree.github.io/images/apple-touch-icon-144x144.png?v=M44lzPylqQ"><link rel="apple-touch-icon" sizes="152x152" href="https://barraroantree.github.io/images/apple-touch-icon-152x152.png?v=M44lzPylqQ"><link rel="apple-touch-icon" sizes="180x180" href="https://barraroantree.github.io/images/apple-touch-icon-180x180.png?v=M44lzPylqQ"><link rel="icon" type="image/png" href="https://barraroantree.github.io/images/favicon-32x32.png?v=M44lzPylqQ" sizes="32x32"><link rel="icon" type="image/png" href="https://barraroantree.github.io/images/android-chrome-192x192.png?v=M44lzPylqQ" sizes="192x192"><link rel="icon" type="image/png" href="https://barraroantree.github.io/images/favicon-96x96.png?v=M44lzPylqQ" sizes="96x96"><link rel="icon" type="image/png" href="https://barraroantree.github.io/images/favicon-16x16.png?v=M44lzPylqQ" sizes="16x16"><link rel="manifest" href="https://barraroantree.github.io/images/manifest.json?v=M44lzPylqQ"><link rel="mask-icon" href="https://barraroantree.github.io/images/safari-pinned-tab.svg?v=M44lzPylqQ" color="#000000"><link rel="shortcut icon" href="/images/favicon.ico?v=M44lzPylqQ"><meta name="msapplication-TileColor" content="#000000"><meta name="msapplication-TileImage" content="https://barraroantree.github.io/images/mstile-144x144.png?v=M44lzPylqQ"><meta name="msapplication-config" content="https://barraroantree.github.io/images/browserconfig.xml?v=M44lzPylqQ"><meta name="theme-color" content="#ffffff"><link rel="stylesheet" href="https://barraroantree.github.io/assets/css/academicons.css"/> <!-- Support for MatJax --> <script src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6"></script> <script id="MathJax-script" async src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js"></script> <!-- end custom head snippets --></head><body> <!--[if lt IE 9]><div class="notice--danger align-center" style="margin: 0;">You are using an <strong>outdated</strong> browser. Please <a href="http://browsehappy.com/">upgrade your browser</a> to improve your experience.</div><![endif]--><div class="masthead"><div class="masthead__inner-wrap"><div class="masthead__menu"><nav id="site-nav" class="greedy-nav"> <button><div class="navicon"></div></button><ul class="visible-links"><li class="masthead__menu-item masthead__menu-item--lg"><a href="https://barraroantree.github.io/">Barra Roantree | Trinity College Dublin</a></li><li class="masthead__menu-item"><a href="https://barraroantree.github.io/publications/">Research</a></li><li class="masthead__menu-item"><a href="https://barraroantree.github.io/portfolio/">Working Papers</a></li><li class="masthead__menu-item"><a href="https://barraroantree.github.io/reports/">Policy Reports</a></li><li class="masthead__menu-item"><a href="https://barraroantree.github.io/teaching/">Teaching</a></li><li class="masthead__menu-item"><a href="https://barraroantree.github.io/cv/">CV</a></li></ul><ul class="hidden-links hidden"></ul></nav></div></div></div><div id="main" role="main"><div class="sidebar sticky"><div itemscope itemtype="http://schema.org/Person"><div class="author__avatar"> <img src="https://barraroantree.github.io/images/profile.jpg" class="author__avatar" alt="Barra Roantree"></div><div class="author__content"><h3 class="author__name">Barra Roantree</h3><p class="author__bio">Assistant Professor in Economics and Programme Director of the MSc in Economic Policy</p></div><div class="author__urls-wrapper"> <button class="btn btn--inverse">Follow</button><ul class="author__urls social-icons"> <!-- Font Awesome icons / Biographic information --><li class="author__desktop"><i class="fas fa-fw fa-building-columns icon-pad-right" aria-hidden="true"></i>Trinity College Dublin, Ireland</li><li><a href="https://howtotaxandspendit.substack.com"><i class="fas fa-fw fa-link icon-pad-right" aria-hidden="true"></i>Website</a></li><li><a href="mailto:barra.roantree@tcd.ie"><i class="fas fa-fw fa-envelope icon-pad-right" aria-hidden="true"></i>Email</a></li><!-- Font Awesome and Academicons icons / Academic websites --><li><a href="https://scholar.google.com/citations?hl=en&user=efmNnHUAAAAJ"><i class="ai ai-google-scholar icon-pad-right"></i>Google Scholar</a></li><li><a href="https://orcid.org/0000-0002-8738-8225""><i class="ai ai-orcid ai-fw icon-pad-right"></i>ORCID</a></li><!-- Font Awesome icons / Repositories and software development --><li><a href="https://github.com/barraroantree"><i class="fab fa-fw fa-github icon-pad-right" aria-hidden="true"></i>Github</a></li><!-- Font Awesome icons / Social media --><li><a href="https://bsky.app/profile/barratree.bsky.social"><i class="fab fa-fw fa-bluesky icon-pad-right" aria-hidden="true"></i>Bluesky</a></li><li><a href="https://www.linkedin.com/in/barra-roantree-85748013"><i class="fab fa-fw fa-linkedin icon-pad-right" aria-hidden="true"></i>LinkedIn</a></li></ul></div></div></div><article class="page" itemscope itemtype="http://schema.org/CreativeWork"><meta itemprop="headline" content="Equivalisation (once again)"><meta itemprop="description" content="Estimated equivalence scales for adults and children over time.AdultsChildren"><meta itemprop="datePublished" content="June 30, 2026"><div class="page__inner-wrap"><header><h1 class="page__title" itemprop="headline">Equivalisation (once again)</h1><p>Published in <i>Fiscal Studies</i>, 2026</p></header><section class="page__content" itemprop="text"><h2 id="estimated-equivalence-scales-for-adults-and-children-over-time">Estimated equivalence scales for adults and children over time.</h2><p>Adults <!-- ![figure](/files/figures/2026-esr-figure1a.png) --> Children <!-- ![figure](/files/figures/2026-esr-figure1b.png) --></p><h2 id="abstract">Abstract</h2><p>Income inequality and poverty statistics are often adjusted for differences in the size and composition of households, with common practice being to use a set of “equivalence scales”: a function of the number of adults and children in the household. However, different – largely ad-hoc – scales have been adopted by international organisations and national statistical organisations with little explicit justification. We derive equivalence scales from the expenditure patterns of households using data from the 1987-2015 Irish Household Budget Survey. We find that the Engel, Rothbarth and demand system approaches all yield scales for children that are substantially smaller than those used by ad-hoc official scales, with estimates from AIDS and QUAIDS demand systems appearing to decline over time. Such a decline is particularly noticeable when a 3SLS estimator is used to correct for the potential endogeneity of total expenditure, which also leads to substantially smaller estimated scales for both adults and children. This suggests an increase in economies of scale over the period we examine, with important implications for the measurement of poverty and inequality.</p><p><a href="https://doi.org/10.1111/1475-5890.70025">Paper available here</a> <a href="https://github.com/barraroantree/fs-2025-equiv-replication">Replication code here</a></p><p style="font-size: smaller">Recommended citation: Doorley, K., Duggan, L., Kakoulidou, T., Roantree, B. (2026). Equivalisation (once again). Fiscal Studies, 1–17. https://doi.org/10.1111/1475-5890.70025<br /><a href="https://doi.org/10.1111/1475-5890.70025">Download Paper</a></p></section><footer class="page__meta"></footer><section class="page__share"> <a href="https://twitter.com/intent/tweet?text=https://barraroantree.github.io/publications/2026-06-30-equiv.md" class="btn btn--twitter" title="Share on Twitter"><i class="fab fa-twitter" aria-hidden="true"></i><span> Twitter</span></a> <a href="https://www.facebook.com/sharer/sharer.php?u=https://barraroantree.github.io/publications/2026-06-30-equiv.md" class="btn btn--facebook" title="Share on Facebook"><i class="fab fa-facebook" aria-hidden="true"></i><span> Facebook</span></a> <a href="https://www.linkedin.com/shareArticle?mini=true&url=https://barraroantree.github.io/publications/2026-06-30-equiv.md" class="btn btn--linkedin" title="Share on LinkedIn"><i class="fab fa-linkedin" aria-hidden="true"></i><span> LinkedIn</span></a></section><nav class="pagination"> <a href="https://barraroantree.github.io/publications/2025-08-31-EoI-book" class="pagination--pager" title="Taxation ">Previous</a> <a href="#" class="pagination--pager disabled">Next</a></nav></div></article></div><div class="page__footer"><footer> <!-- start custom footer snippets --> <a href="/sitemap/">Sitemap</a> <!-- end custom footer snippets --><div class="page__footer-follow"><ul class="social-icons"><li><a href="http://github.com/barraroantree"><i class="fab fa-github" aria-hidden="true"></i> GitHub</a></li><li><a href="https://barraroantree.github.io/feed.xml"><i class="fa fa-fw fa-rss-square" aria-hidden="true"></i> Feed</a></li></ul></div><div class="page__footer-copyright"> &copy; 2026 Barra Roantree, Powered by <a href="http://jekyllrb.com" rel="nofollow">Jekyll</a> &amp; <a href="https://github.com/academicpages/academicpages.github.io">AcademicPages</a>, a fork of <a href="https://mademistakes.com/work/minimal-mistakes-jekyll-theme/" rel="nofollow">Minimal Mistakes</a>.<br /> Site last updated 2026-06-29</div></footer></div><script src="https://barraroantree.github.io/assets/js/main.min.js"></script></body></html>
