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  <title>How did Lula turn around the 2026 Presidential Election?</title>
  <link>https://blog.lenmetson.com/posts/how-lula-won/</link>
  <description><![CDATA[ 





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<p><a href="../../posts/how-lula-won/pt/index.html" class="btn btn-outline-secondary btn-sm">🇧🇷 Leia em português</a></p>
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<span class="screen-reader-only">Note</span>TL;DR
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<p>Without individual-level information we can’t be sure, but analysis of the available data suggests that Lula won because people who voted for third candidates or spoiled their ballot in the first round voted tactically to keep Bolsonaro out.</p>
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<p><img src="https://blog.lenmetson.com/posts/how-lula-won/ganhar-no-whatsapp.jpg" class="img-fluid figure-img"></p>
<figcaption>Screenshot from the WhatsApp channel “Exército do Lula” (Lula’s Army), reading “We’re gonna win on WhatsApp” and “You guys are killing it”</figcaption>
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<p>Lula’s shock re-election on 25 October followed a first-round loss, in which Flávio Bolsonaro won 47% of the vote to Lula’s 45%. Bolsonaro led the opinion polls right up to election day and between-round polling suggested he’d get most of the third-candidate votes. But to many people’s surprise, we woke up to news that Lula had gained 10M votes in the second round, and won with 51.8% of the vote.</p>
<p>It was the first time in Brazilian democratic history that a presidential candidate had won the second round after losing the first. Early write-ups of the election pointed to an energetic between-round campaign by Lula’s supporters, with <a href="https://www.theguardian.com/world/2026/oct/24/lula-da-silva-supporters-rally-eve-brazil-election-runoff-bolsonaro">rallies</a> attended by millions, key “clippable” moments in the TV debates, and late spending promises by the incumbent president.</p>
<p>In particular, there has been a lot of focus on the grassroots online campaigns run by Lula’s supporters. Most notably, André Janones, an allied<sup>1</sup> member of the Câmara dos Deputados, ran a WhatsApp channel called “Exército do Lula” (Lula’s Army) <span class="citation" data-cites="ft_brazil">(Dyer et al., 2026)</span>. It broadcast mobilisation messages to over 11M supporters, encouraging them to share social media posts to boost pro-Lula content in the algorithms. Alexandre Afonso has written an excellent <a href="https://alexandreafonso.substack.com/p/inside-lulas-army-a-playbook-for?r=1uyrf2&amp;utm_medium=ios&amp;utm_source=notes-share-action">blog post</a> analysing the content of the channel.</p>
<div class="no-row-height column-margin column-container"><div id="fn1"><p><sup>1</sup>&nbsp;Janones is not a member of Lula’s party, having left in 2015. But his new party, REDE, formed part of Lula’s pre-election coalition, “O Brasil está pronto para mais” (Brazil Ready for More) <span class="citation" data-cites="wiki_election2026 wiki_janones">(Wikipedia, n.d.-a, n.d.-b)</span>.</p></div></div><p>In his book <em>Prototype Politics</em>, <span class="citation" data-cites="kreiss_prototype_2016">Kreiss (2016)</span> describes election post-mortems as a social process of “meaning-making”, in which particular elements of a campaign are picked out and narratives emerge that these elements “won” (or lost) the election. In short, we all tend to pick out particular elements of a campaign and attribute its success to them.</p>
<p>In reality, working out <em>why</em> a campaign won is very challenging. Among political scientists, there is a long-running and unresolved debate about whether campaign periods matter <em>at all</em> for election outcomes, and even if they do, isolating the effects of particular interventions requires careful research design <span class="citation" data-cites="foos_electioncampaigns2026">(Foos &amp; Metson, 2026)</span>.</p>
<p>Nonetheless, the sheer scale of the mobilisation achieved warrants some exploration. Beyond the “Exército do Lula” WhatsApp mobilisation, other smaller initiatives shed some light on the nature of the between-round campaign. In particular, the webpage “<a href="https://www.ondedapraconversar.com.br/#/sobre">Onde dá pra conversar</a>” (Where you can have a conversation) showed which areas could be swung towards Lula and encouraged voters to reach out to their neighbours to persuade and mobilise them. This tactic echoes the decentralised “relational organising” popularised by Obama’s 2012 campaign <span class="citation" data-cites="mckenna_groundbreakers_2014">(McKenna &amp; Han, 2014)</span>.</p>
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<p><img src="https://blog.lenmetson.com/posts/how-lula-won/ondedapraconversar.png" class="img-fluid figure-img" style="width:80.0%"></p>
<figcaption>Screenshot from <a href="https://www.ondedapraconversar.com.br/#/sobre">Onde dá pra conversar</a>, showing target polling sections (seções de votação) in the Copacabana area of Rio de Janeiro.</figcaption>
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<p>The site highlighted polling sections (seções de votação) where the number of abstentions and invalid votes was larger than the gap between Lula and Bolsonaro. It also offered detailed suggested scripts for talking to voters who had abstained, spoiled their ballot or voted for another candidate in the first round.</p>
<p>Political scientists may be interested to learn that the advice on persuasion appears to draw very closely on the logic of “deep canvassing” interventions tested in a series of experiments in the US <span class="citation" data-cites="broockman_durably_2016 kalla_which_2023">(Broockman &amp; Kalla, 2016; Kalla &amp; Broockman, 2023)</span>:</p>
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<p>How to start the conversation</p>
<ul>
<li>Begin by acknowledging what the other person likes about their chosen candidate. People lower their guard when they feel respected.</li>
<li>Highlight common ground by placing two excerpts side by side. Each includes its source and page number: just tap to view.</li>
<li>Avoid speaking ill of their candidate. Like you, they want a better country. The question now is: who is best placed to take that forward on the 25th?</li>
<li>If they don’t reach a decision right away, that’s perfectly fine. Thank them and leave the door open. Deciding how to vote takes time.</li>
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<p><a href="https://www.ondedapraconversar.com.br/#/conversas" class="quote-source">Source (translated)</a></p>
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<!-- > [!quote]
> Como puxar a conversa
>   - Comece pelo que a pessoa gostou no candidato dela. Quem se sente respeitado baixa a guarda.
>   - Mostre um ponto em comum, com os dois trechos lado a lado. Cada um tem fonte e página, é só tocar. 
>   - Não fale mal do candidato dela. Ela quer um país melhor, igual a você. A pergunta agora é quem leva isso adiante no dia 25.
>    - Se ela não decidir na hora, tudo bem. Agradeça e deixe a porta aberta. Voto se decide com tempo. -->
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<p>Beyond persuasion, supporters of Lula’s party, the Workers’ Party (Partido dos Trabalhadores, PT) placed a strong emphasis on mobilising people who hadn’t voted in the first round. <!-- Neighborhoods with the highest rates of abstention, blank ballots, and null votes in the first round are home to more people who could still cast a vote.  --> At first this might seem puzzling: Brazil has compulsory voting for much of the population (literate adults aged 18–70). Even so, turnout does vary. For voters over 70 and illiterate voters, voting is voluntary. Voters can also justify their absence, and the penalty for not voting is small: usually around R$3.51 (US$0.70), though it can be up to R$35 for wealthier voters <span class="citation" data-cites="morales2026">(Morales, 2026)</span>. <!-- https://www.riotimesonline.com/punishment-for-not-voting-in-brazil-2026/ --></p>
<p>On the surface, mobilisation appears to have played a major role in this election: the first round saw the lowest first-round turnout since 2002, and turnout increased substantially in the second round (Figure&nbsp;1).</p>
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Figure&nbsp;1: <a href="https://bsky.app/profile/did:plc:26tsf647wqnoo7umh4ywwz7a/post/3myqig2eaj222">Source: Adam Schwarz</a>
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<p>Analyses of <em>where</em> Lula gained the most votes between rounds suggest that Lula won by gaining voters in areas that we wouldn’t typically expect to vote for the PT (see posts by <a href="https://x.com/_juancmac/status/2114542831373332627">Juan Machado</a> and <a href="https://bsky.app/profile/owenwntr.bsky.social/post/3myrlrjinv223">Owen Winter</a>). This doesn’t fit comfortably with a pure mobilisation story, where we’d expect generally supportive areas to have been where gains were strongest.</p>
<p>To dig into this more, I use section-level data to describe how the election played out between the two rounds, and to see what we can learn about how Lula achieved his historic win. Seções de votação (polling sections) are the smallest unit at which results are reported. Each is a single urna eletrônica (voting machine), to which around 300 voters are assigned (μ=318, σ=66).</p>
<section id="what-did-lula-need-to-win" class="level2 page-columns page-full">
<h2 class="anchored" data-anchor-id="what-did-lula-need-to-win">What did Lula need to win?</h2>
<p>Before exploring how Lula won, it’s worth outlining the scale of the challenge as it looked before the second round.</p>
<p>Figure&nbsp;2 shows the results of the first round, using all registered voters as the denominator. Lula trailed Bolsonaro by 2.2M votes. 21.1% of registered voters abstained, 5.9% voted for third candidates and 3.8% spoiled their ballot.<sup>2</sup></p>
<div class="no-row-height column-margin column-container"><div id="fn2"><p><sup>2</sup>&nbsp;Voters vote by entering a candidate’s number on the voting machine. A “blank” vote is when a voter enters no number and a “null” vote is when they enter a number not associated with any candidate.</p></div></div><div class="cell" data-layout-align="center">
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<figcaption class="quarto-float-caption-bottom quarto-float-caption quarto-float-fig quarto-uncaptioned" id="fig-r1-caption-0ceaefa1-69ba-4598-a22c-09a6ac19f8ca">
Figure&nbsp;2
</figcaption>
</figure>
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<p>No candidate reached 50% of valid votes, triggering a runoff between Bolsonaro and Lula. After the first round, most of the other candidates endorsed one of the two runoff candidates. Five endorsed Bolsonaro, three Lula and two remained neutral or endorsed a null vote (sources in Table&nbsp;1).</p>
<p>The left panel of Figure&nbsp;3 shows the third-candidate vote grouped by whom each candidate endorsed in the second round. If every third-candidate voter had followed their candidate’s endorsement, Bolsonaro could have counted on 6.4M additional votes, and Lula on just under 200K.</p>
<p>However, a <a href="https://www.band.com.br/politica/eleicoes/flavio-lidera-migracao-de-votos-de-caiado-e-renan-lula-herda-mais-com-cury">poll of 2,154 voters conducted by Quaest</a> suggested that third-candidate voters wouldn’t necessarily follow their candidate’s endorsement.</p>
<p>The right panel of Figure&nbsp;3 shows how many votes each runoff candidate would have received according to this poll (see the appendix for more details). Even with some voters not following their candidate’s endorsement, Lula would still win 1.1M fewer of these votes than Bolsonaro.</p>
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632.17,382.40 629.29,382.40 626.42,382.40 623.55,382.40 620.68,382.40 617.81,382.40 614.94,382.40 612.07,382.40 609.20,382.40 606.33,382.40 603.46,382.40 600.59,382.40 597.72,382.40 594.84,382.40 591.97,382.40 589.10,382.40 564.79,382.40' fill='#E4142C' fill-opacity='0' stroke='none' title='Others → Lula: 210.2K' data-id='1 8'/>\n   <polygon id='svg_d8742900e3cb16b2_e23' points='564.79,373.91 589.10,373.91 591.97,373.66 594.84,372.92 597.72,371.72 600.59,370.07 603.46,368.00 606.33,365.53 609.20,362.67 612.07,359.46 614.94,355.90 617.81,352.03 620.68,347.86 623.55,343.42 626.42,338.72 629.29,333.79 632.17,328.65 635.04,323.32 637.91,317.82 640.78,312.17 643.65,306.39 646.52,300.51 649.39,294.54 652.26,288.51 655.13,282.43 658.00,276.34 660.87,270.24 663.74,264.17 666.62,258.14 669.49,252.17 672.36,246.29 675.23,240.51 678.10,234.86 680.97,229.36 683.84,224.03 686.71,218.88 689.58,213.95 692.45,209.26 695.32,204.81 698.19,200.65 701.07,196.77 703.94,193.22 706.81,190.01 709.68,187.15 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</div>
<figcaption class="quarto-float-caption-bottom quarto-float-caption quarto-float-fig quarto-uncaptioned" id="fig-r1end-caption-0ceaefa1-69ba-4598-a22c-09a6ac19f8ca">
Figure&nbsp;3
</figcaption>
</figure>
</div>
</div>
<p>Adding these (very rough) projected vote transfers to the first-round votes<sup>3</sup>, Figure&nbsp;4 demonstrates how weak Lula’s position looked before the second round. Based on the information available at the time, a back-of-the-envelope projection would have had <strong>Lula trailing Bolsonaro by 3M votes</strong>.</p>
<div class="no-row-height column-margin column-container"><div id="fn3"><p><sup>3</sup>&nbsp;By default, the projection uses Quaest’s transfer rates, with undecided respondents redistributed proportionally. First-round abstainers are held as abstaining, and first-round Lula and Bolsonaro voters are assumed to stay loyal.</p></div></div><style>
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<div class="cell hidden">
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font-style: inherit;">"none"</span>)))<span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">,</span> <span class="dt" style="color: #AD0000;
background-color: null;
font-style: inherit;">label</span><span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">:</span> <span class="st" style="color: #20794D;
background-color: null;
font-style: inherit;">"Cast a valid vote (%)"</span>})<span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">,</span></span>
<span id="cb1-307">  <span class="dt" style="color: #AD0000;
background-color: null;
font-style: inherit;">lula</span><span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">:</span> Inputs<span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">.</span><span class="fu" style="color: #4758AB;
background-color: null;
font-style: inherit;">range</span>([<span class="dv" style="color: #AD0000;
background-color: null;
font-style: inherit;">0</span><span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">,</span> <span class="dv" style="color: #AD0000;
background-color: null;
font-style: inherit;">100</span>]<span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">,</span> {<span class="dt" style="color: #AD0000;
background-color: null;
font-style: inherit;">step</span><span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">:</span> <span class="dv" style="color: #AD0000;
background-color: null;
font-style: inherit;">1</span><span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">,</span> <span class="dt" style="color: #AD0000;
background-color: null;
font-style: inherit;">value</span><span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">:</span> <span class="bu" style="color: null;
background-color: null;
font-style: inherit;">Math</span><span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">.</span><span class="fu" style="color: #4758AB;
background-color: null;
font-style: inherit;">round</span>(<span class="dv" style="color: #AD0000;
background-color: null;
font-style: inherit;">100</span> <span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">*</span> <span class="fu" style="color: #4758AB;
background-color: null;
font-style: inherit;">share</span>(src<span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">,</span> <span class="st" style="color: #20794D;
background-color: null;
font-style: inherit;">"lula"</span>) <span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">/</span> (<span class="dv" style="color: #AD0000;
background-color: null;
font-style: inherit;">1</span> <span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">-</span> <span class="fu" style="color: #4758AB;
background-color: null;
font-style: inherit;">share</span>(src<span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">,</span> <span class="st" style="color: #20794D;
background-color: null;
font-style: inherit;">"none"</span>))) <span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">||</span> <span class="dv" style="color: #AD0000;
background-color: null;
font-style: inherit;">50</span><span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">,</span> <span class="dt" style="color: #AD0000;
background-color: null;
font-style: inherit;">label</span><span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">:</span> <span class="st" style="color: #20794D;
background-color: null;
font-style: inherit;">"Of whom vote Lula (%)"</span>})</span>
<span id="cb1-308">})</span></code></pre></div></div>
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<div class="cell">
<div class="code-copy-outer-scaffold"><div class="sourceCode cell-code hidden" id="cb2" data-startfrom="314" data-source-offset="0" style="background: #f1f3f5;"><pre class="sourceCode js code-with-copy"><code class="sourceCode javascript" style="counter-reset: source-line 313;"><span id="cb2-314">{</span>
<span id="cb2-315">  <span class="kw" style="color: #003B4F;
background-color: null;
font-weight: bold;
font-style: inherit;">const</span> settings <span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">=</span> {<span class="st" style="color: #20794D;
background-color: null;
font-style: inherit;">"Third candidates"</span><span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">:</span> third<span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">,</span> <span class="st" style="color: #20794D;
background-color: null;
font-style: inherit;">"Blank/null"</span><span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">:</span> blank<span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">,</span> <span class="st" style="color: #20794D;
background-color: null;
font-style: inherit;">"Abstained (1st round)"</span><span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">:</span> abst}</span>
<span id="cb2-316">  <span class="kw" style="color: #003B4F;
background-color: null;
font-weight: bold;
font-style: inherit;">const</span> loyal <span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">=</span> {<span class="st" style="color: #20794D;
background-color: null;
font-style: inherit;">"Lula (1st round)"</span><span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">:</span> <span class="st" style="color: #20794D;
background-color: null;
font-style: inherit;">"Lula"</span><span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">,</span> <span class="st" style="color: #20794D;
background-color: null;
font-style: inherit;">"Bolsonaro (1st round)"</span><span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">:</span> <span class="st" style="color: #20794D;
background-color: null;
font-style: inherit;">"Bolsonaro"</span>}</span>
<span id="cb2-317">  <span class="kw" style="color: #003B4F;
background-color: null;
font-weight: bold;
font-style: inherit;">const</span> rows <span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">=</span> <span class="bu" style="color: null;
background-color: null;
font-style: inherit;">Object</span><span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">.</span><span class="fu" style="color: #4758AB;
background-color: null;
font-style: inherit;">keys</span>(fills)<span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">.</span><span class="fu" style="color: #4758AB;
background-color: null;
font-style: inherit;">flatMap</span>(source <span class="kw" style="color: #003B4F;
background-color: null;
font-weight: bold;
font-style: inherit;">=&gt;</span> {</span>
<span id="cb2-318">    <span class="kw" style="color: #003B4F;
background-color: null;
font-weight: bold;
font-style: inherit;">const</span> n <span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">=</span> <span class="fu" style="color: #4758AB;
background-color: null;
font-style: inherit;">total</span>(source)</span>
<span id="cb2-319">    <span class="cf" style="color: #003B4F;
background-color: null;
font-weight: bold;
font-style: inherit;">if</span> (loyal[source]) <span class="cf" style="color: #003B4F;
background-color: null;
font-weight: bold;
font-style: inherit;">return</span> [{source<span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">,</span> <span class="dt" style="color: #AD0000;
background-color: null;
font-style: inherit;">choice</span><span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">:</span> loyal[source]<span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">,</span> <span class="dt" style="color: #AD0000;
background-color: null;
font-style: inherit;">projected</span><span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">:</span> n}]</span>
<span id="cb2-320">    <span class="kw" style="color: #003B4F;
background-color: null;
font-weight: bold;
font-style: inherit;">const</span> v <span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">=</span> settings[source]<span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">.</span><span class="at" style="color: #657422;
background-color: null;
font-style: inherit;">turnout</span> <span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">/</span> <span class="dv" style="color: #AD0000;
background-color: null;
font-style: inherit;">100</span><span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">,</span> l <span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">=</span> settings[source]<span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">.</span><span class="at" style="color: #657422;
background-color: null;
font-style: inherit;">lula</span> <span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">/</span> <span class="dv" style="color: #AD0000;
background-color: null;
font-style: inherit;">100</span></span>
<span id="cb2-321">    <span class="cf" style="color: #003B4F;
background-color: null;
font-weight: bold;
font-style: inherit;">return</span> [</span>
<span id="cb2-322">      {source<span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">,</span> <span class="dt" style="color: #AD0000;
background-color: null;
font-style: inherit;">choice</span><span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">:</span> <span class="st" style="color: #20794D;
background-color: null;
font-style: inherit;">"Lula"</span><span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">,</span> <span class="dt" style="color: #AD0000;
background-color: null;
font-style: inherit;">projected</span><span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">:</span> n <span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">*</span> v <span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">*</span> l}<span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">,</span></span>
<span id="cb2-323">      {source<span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">,</span> <span class="dt" style="color: #AD0000;
background-color: null;
font-style: inherit;">choice</span><span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">:</span> <span class="st" style="color: #20794D;
background-color: null;
font-style: inherit;">"Bolsonaro"</span><span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">,</span> <span class="dt" style="color: #AD0000;
background-color: null;
font-style: inherit;">projected</span><span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">:</span> n <span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">*</span> v <span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">*</span> (<span class="dv" style="color: #AD0000;
background-color: null;
font-style: inherit;">1</span> <span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">-</span> l)}<span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">,</span></span>
<span id="cb2-324">      {source<span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">,</span> <span class="dt" style="color: #AD0000;
background-color: null;
font-style: inherit;">choice</span><span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">:</span> <span class="st" style="color: #20794D;
background-color: null;
font-style: inherit;">"Blank/null/abstain"</span><span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">,</span> <span class="dt" style="color: #AD0000;
background-color: null;
font-style: inherit;">projected</span><span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">:</span> n <span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">*</span> (<span class="dv" style="color: #AD0000;
background-color: null;
font-style: inherit;">1</span> <span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">-</span> v)}</span>
<span id="cb2-325">    ]</span>
<span id="cb2-326">  })</span>
<span id="cb2-327">  <span class="kw" style="color: #003B4F;
background-color: null;
font-weight: bold;
font-style: inherit;">const</span> totals <span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">=</span> [<span class="st" style="color: #20794D;
background-color: null;
font-style: inherit;">"Bolsonaro"</span><span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">,</span> <span class="st" style="color: #20794D;
background-color: null;
font-style: inherit;">"Lula"</span><span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">,</span> <span class="st" style="color: #20794D;
background-color: null;
font-style: inherit;">"Blank/null/abstain"</span>]<span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">.</span><span class="fu" style="color: #4758AB;
background-color: null;
font-style: inherit;">map</span>(choice <span class="kw" style="color: #003B4F;
background-color: null;
font-weight: bold;
font-style: inherit;">=&gt;</span> ({choice<span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">,</span> <span class="dt" style="color: #AD0000;
background-color: null;
font-style: inherit;">total</span><span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">:</span> d3<span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">.</span><span class="fu" style="color: #4758AB;
background-color: null;
font-style: inherit;">sum</span>(rows<span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">.</span><span class="fu" style="color: #4758AB;
background-color: null;
font-style: inherit;">filter</span>(d <span class="kw" style="color: #003B4F;
background-color: null;
font-weight: bold;
font-style: inherit;">=&gt;</span> d<span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">.</span><span class="at" style="color: #657422;
background-color: null;
font-style: inherit;">choice</span> <span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">===</span> choice)<span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">,</span> d <span class="kw" style="color: #003B4F;
background-color: null;
font-weight: bold;
font-style: inherit;">=&gt;</span> d<span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">.</span><span class="at" style="color: #657422;
background-color: null;
font-style: inherit;">projected</span>)}))</span>
<span id="cb2-328">  <span class="kw" style="color: #003B4F;
background-color: null;
font-weight: bold;
font-style: inherit;">const</span> gap <span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">=</span> totals[<span class="dv" style="color: #AD0000;
background-color: null;
font-style: inherit;">1</span>]<span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">.</span><span class="at" style="color: #657422;
background-color: null;
font-style: inherit;">total</span> <span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">-</span> totals[<span class="dv" style="color: #AD0000;
background-color: null;
font-style: inherit;">0</span>]<span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">.</span><span class="at" style="color: #657422;
background-color: null;
font-style: inherit;">total</span></span>
<span id="cb2-329">  <span class="cf" style="color: #003B4F;
background-color: null;
font-weight: bold;
font-style: inherit;">return</span> <span class="fu" style="color: #4758AB;
background-color: null;
font-style: inherit;">html</span><span class="vs" style="color: #20794D;
background-color: null;
font-style: inherit;">`&lt;div style="color: #8c8c8d; font-family: Inter, sans-serif"&gt;</span></span>
<span id="cb2-330"><span class="vs" style="color: #20794D;
background-color: null;
font-style: inherit;">    &lt;p style="font-weight: bold; margin-bottom: 0"&gt;Projected second-round vote&lt;/p&gt;</span></span>
<span id="cb2-331"><span class="vs" style="color: #20794D;
background-color: null;
font-style: inherit;">    &lt;p&gt;</span><span class="sc" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">${</span>gap <span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">&gt;</span> <span class="dv" style="color: #AD0000;
background-color: null;
font-style: inherit;">0</span> <span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">?</span> <span class="st" style="color: #20794D;
background-color: null;
font-style: inherit;">"Lula"</span> <span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">:</span> <span class="st" style="color: #20794D;
background-color: null;
font-style: inherit;">"Bolsonaro"</span><span class="sc" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">}</span><span class="vs" style="color: #20794D;
background-color: null;
font-style: inherit;"> wins by </span><span class="sc" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">${</span><span class="fu" style="color: #4758AB;
background-color: null;
font-style: inherit;">fmt</span>(<span class="bu" style="color: null;
background-color: null;
font-style: inherit;">Math</span><span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">.</span><span class="fu" style="color: #4758AB;
background-color: null;
font-style: inherit;">abs</span>(gap))<span class="sc" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">}</span><span class="vs" style="color: #20794D;
background-color: null;
font-style: inherit;"> votes&lt;/p&gt;</span></span>
<span id="cb2-332"><span class="vs" style="color: #20794D;
background-color: null;
font-style: inherit;">    </span><span class="sc" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">${</span>Plot<span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">.</span><span class="fu" style="color: #4758AB;
background-color: null;
font-style: inherit;">plot</span>({</span>
<span id="cb2-333">      <span class="dt" style="color: #AD0000;
background-color: null;
font-style: inherit;">width</span><span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">:</span> <span class="dv" style="color: #AD0000;
background-color: null;
font-style: inherit;">760</span><span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">,</span></span>
<span id="cb2-334">      <span class="dt" style="color: #AD0000;
background-color: null;
font-style: inherit;">height</span><span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">:</span> <span class="dv" style="color: #AD0000;
background-color: null;
font-style: inherit;">300</span><span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">,</span></span>
<span id="cb2-335">      <span class="dt" style="color: #AD0000;
background-color: null;
font-style: inherit;">marginLeft</span><span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">:</span> <span class="dv" style="color: #AD0000;
background-color: null;
font-style: inherit;">130</span><span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">,</span></span>
<span id="cb2-336">      <span class="dt" style="color: #AD0000;
background-color: null;
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<span id="cb2-344">      ]</span>
<span id="cb2-345">    })<span class="sc" style="color: #5E5E5E;
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font-style: inherit;">}</span></span>
<span id="cb2-346"><span class="vs" style="color: #20794D;
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<div class="cell-output cell-output-display">
<div id="ojs-cell-2" data-nodetype="expression">

</div>
</div>
</div>
</div>
<figcaption class="quarto-float-caption-bottom quarto-float-caption quarto-float-fig quarto-uncaptioned" id="fig-frProjection-caption-0ceaefa1-69ba-4598-a22c-09a6ac19f8ca">
Figure&nbsp;4
</figcaption>
</figure>
</div>
<div class="proj-controls">
<div class="callout callout-style-default callout-tip no-icon callout-titled">
<div class="callout-header d-flex align-content-center collapsed" data-bs-toggle="collapse" data-bs-target=".callout-2-contents" aria-controls="callout-2" aria-expanded="false" aria-label="Toggle callout">
<div class="callout-icon-container">
<i class="callout-icon no-icon"></i>
</div>
<div class="callout-title-container flex-fill">
<span class="screen-reader-only">Tip</span>Adjust turnout and transfer estimates to see how the runoff projection would have looked under different assumptions:
</div>
<div class="callout-btn-toggle d-inline-block border-0 py-1 ps-1 pe-0 float-end"><i class="callout-toggle"></i></div>
</div>
<div id="callout-2" class="callout-2-contents callout-collapse collapse">
<div class="callout-body-container callout-body">
<!-- You can also use @fig-frProjection to play around with the turnout and Lula-lean of third-candidate voters, blank/null voters and abstainers, to see how the runoff projection would have looked under different assumptions. -->
<div class="grid">
<div class="g-col-12 g-col-md-4">
<p><strong>First-round abstainers</strong></p>
<div class="cell">
<div class="code-copy-outer-scaffold"><div class="sourceCode cell-code hidden" id="cb3" data-startfrom="364" data-source-offset="0" style="background: #f1f3f5;"><pre class="sourceCode js code-with-copy"><code class="sourceCode javascript" style="counter-reset: source-line 363;"><span id="cb3-364">viewof abst <span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">=</span> (reset<span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">,</span> <span class="fu" style="color: #4758AB;
background-color: null;
font-style: inherit;">groupForm</span>(<span class="st" style="color: #20794D;
background-color: null;
font-style: inherit;">"Abstained (1st round)"</span>))</span></code></pre></div></div>
<div class="cell-output cell-output-display">
<div id="ojs-cell-3" data-nodetype="declaration">

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<div class="g-col-12 g-col-md-4">
<p><strong>Blank/null voters</strong></p>
<div class="cell">
<div class="code-copy-outer-scaffold"><div class="sourceCode cell-code hidden" id="cb4" data-startfrom="372" data-source-offset="0" style="background: #f1f3f5;"><pre class="sourceCode js code-with-copy"><code class="sourceCode javascript" style="counter-reset: source-line 371;"><span id="cb4-372">viewof blank <span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">=</span> (reset<span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">,</span> <span class="fu" style="color: #4758AB;
background-color: null;
font-style: inherit;">groupForm</span>(<span class="st" style="color: #20794D;
background-color: null;
font-style: inherit;">"Blank/null"</span>))</span></code></pre></div></div>
<div class="cell-output cell-output-display">
<div id="ojs-cell-4" data-nodetype="declaration">

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<div class="g-col-12 g-col-md-4">
<p><strong>Third-candidate voters</strong></p>
<div class="cell">
<div class="code-copy-outer-scaffold"><div class="sourceCode cell-code hidden" id="cb5" data-startfrom="380" data-source-offset="0" style="background: #f1f3f5;"><pre class="sourceCode js code-with-copy"><code class="sourceCode javascript" style="counter-reset: source-line 379;"><span id="cb5-380">viewof third <span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">=</span> (reset<span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">,</span> <span class="fu" style="color: #4758AB;
background-color: null;
font-style: inherit;">groupForm</span>(<span class="st" style="color: #20794D;
background-color: null;
font-style: inherit;">"Third candidates"</span>))</span></code></pre></div></div>
<div class="cell-output cell-output-display">
<div id="ojs-cell-5" data-nodetype="declaration">

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<div class="cell">
<div class="code-copy-outer-scaffold"><div class="sourceCode cell-code hidden" id="cb6" data-startfrom="387" data-source-offset="0" style="background: #f1f3f5;"><pre class="sourceCode js code-with-copy"><code class="sourceCode javascript" style="counter-reset: source-line 386;"><span id="cb6-387">viewof reset <span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">=</span> Inputs<span class="op" style="color: #5E5E5E;
background-color: null;
font-style: inherit;">.</span><span class="fu" style="color: #4758AB;
background-color: null;
font-style: inherit;">button</span>(<span class="st" style="color: #20794D;
background-color: null;
font-style: inherit;">"Reset defaults"</span>)</span></code></pre></div></div>
<div class="cell-output cell-output-display">
<div id="ojs-cell-6" data-nodetype="declaration">

</div>
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</div>
<p>By default, the projection uses Quaest’s transfer rates, with undecided respondents redistributed proportionally. First-round abstainers are held as abstaining, and first-round Lula and Bolsonaro voters are assumed to stay loyal.</p>
</div>
</div>
</div>
</div>
<p>To be explicit, the path to turning it around in the second round was steep, but <em>certainly</em> not “impossible” as <a href="https://www.theguardian.com/world/2026/oct/26/lula-wins-brazil-election">a certain recently-US-based Brazilian presidential candidate claimed</a>. Excluding both candidates’ first-round voters, there was a pool of nearly 50M voters from which Lula could win the 10M votes he did.</p>
</section>
<section id="second-round-results" class="level2 page-columns page-full">
<h2 class="anchored" data-anchor-id="second-round-results">Second-round results</h2>
<p>As we now know, Lula did meet the challenge. Figure&nbsp;5 shows the previous projection with the actual second-round results overlaid. We see that Lula gained 10.4M votes between rounds, 5.3M more votes than the simple projection predicted. Bolsonaro, by contrast, won 2.2M fewer than projected and added just 3.7M to his first-round total. And 3.1M more people than projected cast a valid vote.</p>
<div class="cell" data-layout-align="center">
<div id="fig-frProjOver" class="cell-output-display quarto-float quarto-figure quarto-figure-center anchored">
<figure class="quarto-float quarto-float-fig figure">
<div aria-describedby="fig-frProjOver-caption-0ceaefa1-69ba-4598-a22c-09a6ac19f8ca">
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stroke-linejoin='miter' stroke-linecap='butt' title='Third candidates: 1.2M' data-id='Third candidates'/>\n   <rect id='svg_dc7d9ebf51ac19c2_e17' x='472.54' y='272.45' width='11.41' height='46.78' fill='#C3DADB' fill-opacity='1' stroke='#FFFFFF' stroke-opacity='1' stroke-width='0.64' stroke-linejoin='miter' stroke-linecap='butt' title='Third candidates: 1.1M' data-id='Third candidates'/>\n   <rect id='svg_dc7d9ebf51ac19c2_e18' x='92.02' y='64.52' width='581.59' height='46.78' fill='#0B3C8C' fill-opacity='1' stroke='#FFFFFF' stroke-opacity='1' stroke-width='0.64' stroke-linejoin='miter' stroke-linecap='butt' title='Bolsonaro (1st round): 56.1M' data-id='Bolsonaro (1st round)'/>\n   <text x='486.93' y='299.46' font-size='7.47pt' font-family='Inter' fill='#8C8C8D' fill-opacity='1'>37.8M<\/text>\n   <text x='705.27' y='195.5' font-size='7.47pt' font-family='Inter' fill='#8C8C8D' fill-opacity='1'>59M<\/text>\n   <text x='736.66' y='91.53' font-size='7.47pt' font-family='Inter' fill='#8C8C8D' fill-opacity='1'>62M<\/text>\n   <line x1='92.02' y1='235.54' x2='758.11' y2='235.54' stroke='#F2C230' stroke-opacity='1' stroke-width='14.94' stroke-linejoin='round' stroke-linecap='butt'/>\n   <line x1='92.02' y1='131.58' x2='712.18' y2='131.58' stroke='#F2C230' stroke-opacity='1' stroke-width='14.94' stroke-linejoin='round' stroke-linecap='butt'/>\n   <line x1='92.02' y1='339.5' x2='408.28' y2='339.5' stroke='#F2C230' stroke-opacity='1' stroke-width='14.94' stroke-linejoin='round' stroke-linecap='butt'/>\n   <line x1='408.28' y1='339.5' x2='451.34' y2='339.5' stroke='#F8DE8A' stroke-opacity='1' stroke-width='14.94' stroke-linejoin='round' stroke-linecap='butt'/>\n   <text x='764.14' y='238.85' font-size='6.83pt' font-family='Inter' fill='#F2C230' fill-opacity='1'>Actual: 64.3M<\/text>\n   <text x='718.18' y='134.88' font-size='6.83pt' font-family='Inter' fill='#F2C230' fill-opacity='1'>Actual: 59.8M<\/text>\n   <text x='457.32' y='342.81' font-size='6.83pt' 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font-family='Inter' fill='#8C8C8D' fill-opacity='1'>Blank/null/abstain<\/text>\n   <text x='67.83' y='195.36' font-size='7.2pt' font-family='Inter' fill='#8C8C8D' fill-opacity='1'>Lula<\/text>\n   <text x='41.05' y='91.4' font-size='7.2pt' font-family='Inter' fill='#8C8C8D' fill-opacity='1'>Bolsonaro<\/text>\n   <text x='88.99' y='370.57' font-size='7.2pt' font-family='Inter' fill='#8C8C8D' fill-opacity='1'>0<\/text>\n   <text x='289.05' y='370.57' font-size='7.2pt' font-family='Inter' fill='#8C8C8D' fill-opacity='1'>20M<\/text>\n   <text x='496.2' y='370.57' font-size='7.2pt' font-family='Inter' fill='#8C8C8D' fill-opacity='1'>40M<\/text>\n   <text x='703.65' y='370.57' font-size='7.2pt' font-family='Inter' fill='#8C8C8D' fill-opacity='1'>60M<\/text>\n   <text x='299.42' y='400.61' font-size='9pt' font-family='Inter' fill='#8C8C8D' fill-opacity='1'>Source of votes<\/text>\n   <rect x='299.85' y='408.31' width='16.43' height='16.43' fill='#E4142C' fill-opacity='1' stroke='#FFFFFF' 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round)<\/text>\n   <text x='322.68' y='443.27' font-size='7.2pt' font-family='Inter' fill='#8C8C8D' fill-opacity='1'>Bolsonaro (1st round)<\/text>\n   <text x='448.59' y='420.01' font-size='7.2pt' font-family='Inter' fill='#8C8C8D' fill-opacity='1'>Abstained (1st round)<\/text>\n   <text x='448.59' y='443.27' font-size='7.2pt' font-family='Inter' fill='#8C8C8D' fill-opacity='1'>Blank/null<\/text>\n   <text x='574.45' y='420.01' font-size='7.2pt' font-family='Inter' fill='#8C8C8D' fill-opacity='1'>Third candidates<\/text>\n   <text x='5.98' y='16.45' font-size='10.8pt' font-weight='bold' font-family='Inter' fill='#8C8C8D' fill-opacity='1'>Projected and actual second-round vote<\/text>\n   <text x='5.98' y='466.92' font-size='6.75pt' font-family='Inter' fill='#8C8C8D' fill-opacity='1'>Note: Projection from first-round results and transition rates from Quaest's between-round poll. 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</div>
<figcaption class="quarto-float-caption-bottom quarto-float-caption quarto-float-fig quarto-uncaptioned" id="fig-frProjOver-caption-0ceaefa1-69ba-4598-a22c-09a6ac19f8ca">
Figure&nbsp;5
</figcaption>
</figure>
</div>
</div>
<p>The bottom panel of Figure&nbsp;6 shows that Lula gained votes almost everywhere: he lost votes in only 3% of Brazil’s nearly 500,000 sections. Abstention and spoiled-ballot voting fell on average, but not uniformly, with a sizeable proportion of sections seeing increases.</p>
<p>Runoff elections are, of course, designed so that third-candidate voters can reallocate their votes to the leading candidates. Therefore, we would expect both to have gained votes. The map (<a href="https://lenmetson.com/br26/where-lula-won">interactive version</a>) and top-right density plot in Figure&nbsp;6 therefore show Lula’s and Bolsonaro’s <em>relative</em> gains by section:</p>
<blockquote class="blockquote">
<p><em>Relative gain = (Lula<sub>R2</sub> − Lula<sub>R1</sub>) − (Bolsonaro<sub>R2</sub> − Bolsonaro<sub>R1</sub>)</em></p>
</blockquote>
<p>Lula outgained Bolsonaro in 85% of sections and, on average, gained 13 more votes per section than Bolsonaro did between rounds.<sup>4</sup></p>
<div class="no-row-height column-margin column-container"><div id="fn4"><p><sup>4</sup>&nbsp;<a href="https://lenmetson.com/br26/where-lula-won">This page</a> shows an interactive version of the map and a lookup table for vote shares and gains for each municipality and city for voters abroad.</p></div></div><div class="cell" data-layout-align="center">
<div class="cell-output-display">
<div id="fig-gains" class="quarto-float quarto-figure quarto-figure-center anchored" width="3600" data-fig-align="center">
<figure class="quarto-float quarto-float-fig figure">
<div aria-describedby="fig-gains-caption-0ceaefa1-69ba-4598-a22c-09a6ac19f8ca">
<img src="https://blog.lenmetson.com/posts/how-lula-won/index_files/figure-html/fig-gains-1.png" id="fig-gains" class="img-fluid quarto-figure quarto-figure-center anchored figure-img" width="3600">
</div>
<figcaption class="quarto-float-caption-bottom quarto-float-caption quarto-float-fig quarto-uncaptioned" id="fig-gains-caption-0ceaefa1-69ba-4598-a22c-09a6ac19f8ca">
Figure&nbsp;6
</figcaption>
</figure>
</div>
</div>
</div>
</section>
<section id="where-did-these-gains-come-from" class="level2 page-columns page-full">
<h2 class="anchored" data-anchor-id="where-did-these-gains-come-from">Where did these gains come from?</h2>
<p>The bulk of each candidate’s runoff votes likely came from their first-round voters. In theory, there are four sources from which candidates could have gained new votes between rounds:</p>
<ol type="1">
<li><strong>Mobilisation</strong>: getting people who did not vote in the first round to vote (i.e.&nbsp;get-out-the-vote, or GOTV).</li>
<li><strong>Spoiled-ballot persuasion</strong>: persuading voters who spoiled their ballot in the first round (by voting blank or null).</li>
<li><strong>Third-candidate persuasion</strong>: persuading voters who backed a third candidate in the first round.</li>
<li><strong>Opponent persuasion</strong>: persuading voters who backed their opponent in the first round to change their vote.</li>
</ol>
<p>We’ve already mentioned the difficulty of attributing the result of an election to a campaign, but interpreting how votes flowed between candidates raises a second problem with the data we have.</p>
<p>To understand how much of Lula’s runoff vote came from each of these sources, we need to know how first-round voters voted in the second round. This type of information is exactly what the poll we used to project the second round (Table&nbsp;2) contained. However, that poll represents voting intention, and we don’t (yet) have a similar poll for how voters actually changed their vote.</p>
<p>At this point in time, we only have election results at the aggregate level, so we can only look at changes in shares and averages. Methods for ecological inference attempt to use this information to infer how individuals changed their vote, but doing so risks making an <a href="https://en.wikipedia.org/wiki/Ecological_fallacy">ecological fallacy</a>.</p>
<p>To be honest, I’m not an expert in these methods, but very roughly, the idea is to use areas that have very high or low rates of one type of voter in the first round to learn about what those types of voters do in the second (see the appendix for a more detailed explaination of the intuition). Crucially, to transfer information from one area to others, we have to believe that the transition rates are constant <em>across</em> areas <span class="citation" data-cites="romero_assessing_2020">(Romero et al., 2020)</span>. Unfortunately, this is a <em>very strong</em> assumption and everything that follows should be read with that caveat in mind.</p>
<section id="descriptive-predictors-of-lulas-gain" class="level3">
<h3 class="anchored" data-anchor-id="descriptive-predictors-of-lulas-gain">Descriptive predictors of Lula’s gain</h3>
<p>Figure&nbsp;7 plots correlations between Lula’s relative gain and various predictors. It shows that Lula tended to gain more in polling sections where there were larger increases in turnout and larger decreases in blank/null votes. In sections where turnout rose by 10 more voters, Lula’s gain over Bolsonaro was about 3 votes larger; where blank/null votes fell by 10 more, about 9 votes larger.</p>
<p>Interestingly, Lula’s gains also appear to be stronger in sections with more first-round votes for Cury, who, recall, endorsed Bolsonaro for the runoff. For every 10 more first-round Cury voters in a section, Lula’s relative gain was 5 votes larger.</p>
<div class="cell" data-layout-align="center">
<div class="cell-output-display">
<div id="fig-gainPreds" class="quarto-float quarto-figure quarto-figure-center anchored" width="3600" data-fig-align="center">
<figure class="quarto-float quarto-float-fig figure">
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<img src="https://blog.lenmetson.com/posts/how-lula-won/index_files/figure-html/fig-gainPreds-1.png" id="fig-gainPreds" class="img-fluid quarto-figure quarto-figure-center anchored figure-img" width="3600">
</div>
<figcaption class="quarto-float-caption-bottom quarto-float-caption quarto-float-fig quarto-uncaptioned" id="fig-gainPreds-caption-0ceaefa1-69ba-4598-a22c-09a6ac19f8ca">
Figure&nbsp;7
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</div>
</section>
<section id="ecological-inference-model" class="level3 page-columns page-full">
<h3 class="anchored" data-anchor-id="ecological-inference-model">Ecological inference model</h3>
<p>To directly estimate vote transfers, I turn to a more formal ecological inference model. To be clear, these methods allow us to produce <em>estimates</em>, and can improve on simple associations, but none of them solve the fundamental problem of identifying vote shifts from aggregate data.</p>
<p>I use an LPHOM (“Linear Programming under Homogeneity”) estimator <span class="citation" data-cites="romero_assessing_2020">(see Romero et al., 2020)</span>, mostly because it is relatively fast to run and has a neat <a href="https://cran.r-project.org/web/packages/lphom/index.html">R package</a> to implement it.<sup>5</sup> To further ease fitting the model, I aggregate the data up to much larger electoral zones (zonas eleitorais), which contain a median of 46,651 voters.</p>
<div class="no-row-height column-margin column-container"><div id="fn5"><p><sup>5</sup>&nbsp;Admittedly, this is not my finest estimator-selection moment… sorry! But similar analyses (e.g.&nbsp;<a href="https://x.com/danyscht/status/2114891236309901546">Daniel Schteingart</a>) by people with higher standards and bigger computers, using different estimators, appear to concur with what I find.</p></div></div><p>Figure&nbsp;8 shows the estimated shares of how each first-round group voted in the second round (see the appendix for a comparison to the polling estimates we used earlier).</p>
<p>The model suggests that both candidates retained almost all of their first-round voters. Voters who spoiled their ballot are estimated to have overwhelmingly split to Lula in the second round, alongside voters for Cury, Renan Santos and the left-wing third candidates. Amongst those who abstained, we predict 8% voted for Lula and 3% for Bolsonaro. Whilst these are small percentages, remember that this group is much bigger than any third candidate’s vote.</p>
<div class="cell" data-layout-align="center">
<div class="cell-output-display">
<div id="fig-transitions" class="quarto-float quarto-figure quarto-figure-center anchored" width="2400" data-fig-align="center">
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<div aria-describedby="fig-transitions-caption-0ceaefa1-69ba-4598-a22c-09a6ac19f8ca">
<img src="https://blog.lenmetson.com/posts/how-lula-won/index_files/figure-html/fig-transitions-1.png" id="fig-transitions" class="img-fluid quarto-figure quarto-figure-center anchored figure-img" width="2400">
</div>
<figcaption class="quarto-float-caption-bottom quarto-float-caption quarto-float-fig quarto-uncaptioned" id="fig-transitions-caption-0ceaefa1-69ba-4598-a22c-09a6ac19f8ca">
Figure&nbsp;8
</figcaption>
</figure>
</div>
</div>
</div>
<p>Building on that intuition, multiplying these shares by each group’s first-round size gives us an estimate of the composition of Lula’s second-round vote, shown in Figure&nbsp;9.</p>
<div class="cell" data-layout-align="center">
<div id="fig-channels" class="cell-output-display quarto-float quarto-figure quarto-figure-center anchored">
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fill-opacity='1'>Third-candidate<\/text>\n   <text x='87.13' y='585.75' font-size='7.2pt' font-family='Inter' fill='#8C8C8D' fill-opacity='1'>0<\/text>\n   <text x='145.87' y='585.75' font-size='7.2pt' font-family='Inter' fill='#8C8C8D' fill-opacity='1'>1M<\/text>\n   <text x='206.9' y='585.75' font-size='7.2pt' font-family='Inter' fill='#8C8C8D' fill-opacity='1'>2M<\/text>\n   <text x='268.86' y='585.75' font-size='7.2pt' font-family='Inter' fill='#8C8C8D' fill-opacity='1'>3M<\/text>\n   <text x='330.73' y='585.75' font-size='7.2pt' font-family='Inter' fill='#8C8C8D' fill-opacity='1'>4M<\/text>\n   <text x='392.91' y='585.75' font-size='7.2pt' font-family='Inter' fill='#8C8C8D' fill-opacity='1'>5M<\/text>\n   <text x='241.72' y='599.55' font-size='9pt' font-family='Inter' fill='#8C8C8D' fill-opacity='1'>Votes<\/text>\n   <text x='11.96' y='310.95' font-size='9pt' font-family='Inter' fill='#8C8C8D' fill-opacity='1'>Retained group (53.4M) omitted.<\/text>\n   <text x='11.96' y='293.12' font-size='10.8pt' font-weight='bold' font-family='Inter' fill='#E4142C' fill-opacity='1'>Lula<\/text>\n   <polyline points='516.18,573.39 516.18,319.51' fill='none' stroke='#8C8C8D' stroke-opacity='1' stroke-width='0.43' stroke-linejoin='round' stroke-linecap='butt'/>\n   <polyline points='578.18,573.39 578.18,319.51' fill='none' stroke='#8C8C8D' stroke-opacity='1' stroke-width='0.43' stroke-linejoin='round' stroke-linecap='butt'/>\n   <polyline points='640.18,573.39 640.18,319.51' fill='none' stroke='#8C8C8D' stroke-opacity='1' stroke-width='0.43' stroke-linejoin='round' stroke-linecap='butt'/>\n   <polyline points='702.18,573.39 702.18,319.51' fill='none' stroke='#8C8C8D' stroke-opacity='1' stroke-width='0.43' stroke-linejoin='round' stroke-linecap='butt'/>\n   <polyline points='764.18,573.39 764.18,319.51' fill='none' stroke='#8C8C8D' stroke-opacity='1' stroke-width='0.43' stroke-linejoin='round' stroke-linecap='butt'/>\n   <polyline points='826.18,573.39 826.18,319.51' fill='none' stroke='#8C8C8D' stroke-opacity='1' stroke-width='0.43' stroke-linejoin='round' stroke-linecap='butt'/>\n   <line x1='516.18' y1='537.13' x2='516.18' y2='537.13' stroke='#0B3C8C' stroke-opacity='0.4' stroke-width='4.27' stroke-linejoin='round' stroke-linecap='butt'/>\n   <line x1='516.18' y1='416.23' x2='579.9' y2='416.23' stroke='#0B3C8C' stroke-opacity='0.4' stroke-width='4.27' stroke-linejoin='round' stroke-linecap='butt'/>\n   <line x1='516.18' y1='476.68' x2='516.45' y2='476.68' stroke='#0B3C8C' stroke-opacity='0.4' stroke-width='4.27' stroke-linejoin='round' stroke-linecap='butt'/>\n   <line x1='516.18' y1='355.78' x2='726.14' y2='355.78' stroke='#0B3C8C' stroke-opacity='0.4' stroke-width='4.27' stroke-linejoin='round' stroke-linecap='butt'/>\n   <circle cx='516.18' cy='537.13' r='2.69pt' fill='#0B3C8C' fill-opacity='1' stroke='#0B3C8C' stroke-opacity='1' stroke-width='0.77' stroke-linejoin='round' stroke-linecap='round'/>\n   <circle cx='579.9' cy='416.23' r='2.69pt' fill='#0B3C8C' fill-opacity='1' stroke='#0B3C8C' stroke-opacity='1' stroke-width='0.77' stroke-linejoin='round' stroke-linecap='round'/>\n   <circle cx='516.45' cy='476.68' r='2.69pt' fill='#0B3C8C' fill-opacity='1' stroke='#0B3C8C' stroke-opacity='1' stroke-width='0.77' stroke-linejoin='round' stroke-linecap='round'/>\n   <circle cx='726.14' cy='355.78' r='2.69pt' fill='#0B3C8C' fill-opacity='1' stroke='#0B3C8C' stroke-opacity='1' stroke-width='0.77' stroke-linejoin='round' stroke-linecap='round'/>\n   <text x='525.48' y='541.26' font-size='8.54pt' font-family='Inter' fill='#8C8C8D' fill-opacity='1'>0<\/text>\n   <text x='572.44' y='406.3' font-size='8.54pt' font-family='Inter' fill='#8C8C8D' fill-opacity='1'>1M<\/text>\n   <text x='525.75' y='480.81' font-size='8.54pt' font-family='Inter' fill='#8C8C8D' fill-opacity='1'>4.4K<\/text>\n   <text x='712.17' y='345.86' font-size='8.54pt' font-family='Inter' fill='#8C8C8D' fill-opacity='1'>3.4M<\/text>\n   <text x='465.89' y='540.61' font-size='7.2pt' font-family='Inter' fill='#8C8C8D' fill-opacity='1'>Opponent<\/text>\n   <text x='447.68' y='480.17' font-size='7.2pt' font-family='Inter' fill='#8C8C8D' fill-opacity='1'>Spoiled-ballot<\/text>\n   <text x='456.19' y='419.72' font-size='7.2pt' font-family='Inter' fill='#8C8C8D' fill-opacity='1'>Mobilisation<\/text>\n   <text x='437.98' y='359.27' font-size='7.2pt' font-family='Inter' fill='#8C8C8D' fill-opacity='1'>Third-candidate<\/text>\n   <text x='513.15' y='585.75' font-size='7.2pt' font-family='Inter' fill='#8C8C8D' fill-opacity='1'>0<\/text>\n   <text x='571.89' y='585.75' font-size='7.2pt' font-family='Inter' fill='#8C8C8D' fill-opacity='1'>1M<\/text>\n   <text x='632.92' y='585.75' font-size='7.2pt' font-family='Inter' fill='#8C8C8D' fill-opacity='1'>2M<\/text>\n   <text x='694.88' y='585.75' font-size='7.2pt' font-family='Inter' fill='#8C8C8D' fill-opacity='1'>3M<\/text>\n   <text x='756.75' y='585.75' font-size='7.2pt' font-family='Inter' fill='#8C8C8D' 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<figcaption class="quarto-float-caption-bottom quarto-float-caption quarto-float-fig quarto-uncaptioned" id="fig-channels-caption-0ceaefa1-69ba-4598-a22c-09a6ac19f8ca">
Figure&nbsp;9
</figcaption>
</figure>
</div>
</div>
<p>Figure&nbsp;9 suggests that, aside from retained first-round voters, Lula made most of his <em>gains</em> from third-candidate and spoiled-ballot persuasion. The estimated votes gained from these two groups of voters alone would have been enough to swing it for Lula. These models match the patterns suggested in Figure&nbsp;7, where Lula’s gains correlated most strongly with falls in blank/null votes, Cury vote share and changes in turnout. Mobilisation is estimated to have added 2.7M votes which, whilst sizeable, would not have been enough alone to win the runoff.</p>
</section>
</section>
<section id="why-did-third-candidate-and-blanknull-voters-switch-to-lula" class="level2">
<h2 class="anchored" data-anchor-id="why-did-third-candidate-and-blanknull-voters-switch-to-lula">Why did third-candidate and blank/null voters switch to Lula?</h2>
<p>What might explain this pattern? A chunk of these voters may have been using the first round as an opportunity to send a clear, and potentially costly, signal to Lula that they were dissatisfied with him, but disliked Bolsonaro more, so voted tactically for Lula in the runoff.</p>
<p>These voters are both groups who showed up to vote, but deliberately chose <em>against</em> the top two in some way. This explanation makes most sense for voters who voted for a third candidate in the first round. The runoff is only called if no candidate reaches 50% of <em>valid</em> votes. Voting for a third candidate counts as a valid vote and increases the chance of a runoff round. Spoiling the ballot risks one of the top-two candidates winning in the first round. However, since the runoff system was introduced, all Brazilian elections but two presidential elections (1994 and 1998) have gone to a runoff, so voters probably don’t perceive this as a big risk.</p>
<p>Political science research does show that Brazilian voters use the runoff system strategically. In <em>mayoral</em> elections, there is only a runoff in municipalities with more than 200K voters. A paper by <span class="citation" data-cites="fujiwara_regression_2011">Fujiwara (2011)</span> uses this cut-off to compare how many votes third candidates get in municipalities just above and below this threshold. The reproduced figure from the paper (Figure&nbsp;10) shows evidence that Brazilian voters do indeed use the runoff system in this way.</p>
<div id="fig-rdd" class="quarto-float quarto-figure quarto-figure-center anchored">
<figure class="quarto-float quarto-float-fig figure">
<div aria-describedby="fig-rdd-caption-0ceaefa1-69ba-4598-a22c-09a6ac19f8ca">
<img src="https://blog.lenmetson.com/posts/how-lula-won/rdd.png" class="img-fluid figure-img" style="width:50.0%">
</div>
<figcaption class="quarto-float-caption-bottom quarto-float-caption quarto-float-fig" id="fig-rdd-caption-0ceaefa1-69ba-4598-a22c-09a6ac19f8ca">
Figure&nbsp;10: A regression discontinuity design (RDD) plot from <span class="citation" data-cites="fujiwara_regression_2011">Fujiwara (2011)</span> showing Brazilian voters are more likely to vote for third candidates in mayoral elections when they have a runoff election.
</figcaption>
</figure>
</div>
</section>
<section id="concluding-thoughts" class="level2">
<h2 class="anchored" data-anchor-id="concluding-thoughts">Concluding thoughts</h2>
<p>Using the data we have available now, it appears that Lula’s turnaround of the 2026 Brazilian presidential election was driven primarily by third-candidate and spoiled-ballot voters voting tactically to keep Bolsonaro out.</p>
<p>The models I’ve used to estimate this rely on <em>very strong</em> assumptions about electoral behaviour. Ultimately, we can only assess their usefulness in light of additional individual-level survey data when it is released.</p>
<p>Even if we take these results at face value, it doesn’t mean that mobilisation didn’t matter. The increase in turnout between rounds was unprecedented and appears to have gained a substantial portion of votes.</p>
<p>Additionally, whilst I’ve spoken about the source of second-round votes, we don’t know what caused first-round voters to reallocate their votes to Lula. There are many potential causes, all of which likely played some role. The scale of Lula’s between-round ground and social media campaign was remarkable. Equally, between the rounds, Lula promised substantial additional spending targeting entrepreneurs and welfare recipients, and the government brought forward welfare payments. Lula was also seen to have performed well at key moments in the TV debates. These elements of what scholars of American campaigns would call the “air war” could have played an equally or more important role in securing votes.</p>
<p>What does this mean for Lula’s presidency? Governing will already be challenging, given the big gains for right-wing parties in legislative elections, which coincided with the first round. If we buy the tactical-voting story of the turnaround, then Lula’s presidential electoral coalition is fragile and may not survive a less extreme opponent.</p>
<hr>
</section>






<div id="quarto-appendix" class="default"><section id="sec-app-endorsements" class="level2 appendix"><h2 class="anchored quarto-appendix-heading">Sources for third-candidate endorsements</h2><div class="quarto-appendix-contents">

<div id="tbl-endorsements" class="quarto-float quarto-figure quarto-figure-center anchored">
<figure class="quarto-float quarto-float-tbl figure">
<figcaption class="quarto-float-caption-top quarto-float-caption quarto-float-tbl" id="tbl-endorsements-caption-0ceaefa1-69ba-4598-a22c-09a6ac19f8ca">
Table&nbsp;1: Second-round endorsements by eliminated first-round candidates.
</figcaption>
<div aria-describedby="tbl-endorsements-caption-0ceaefa1-69ba-4598-a22c-09a6ac19f8ca">
<table class="caption-top table">
<thead>
<tr class="header">
<th>Candidate</th>
<th>Party</th>
<th>Second-round endorsement</th>
<th>Source</th>
</tr>
</thead>
<tbody>
<tr class="odd">
<td>Augusto Cury</td>
<td>Avante</td>
<td>Flávio Bolsonaro</td>
<td><a href="https://www.correio24horas.com.br/eleicoes/pco-rompe-com-lula-apos-apoio-em-2022-e-orienta-voto-nulo-no-segundo-turno-1026">Correio 24 Horas</a></td>
</tr>
<tr class="even">
<td>Ronaldo Caiado</td>
<td>PSD</td>
<td>Flávio Bolsonaro</td>
<td><a href="https://www.correio24horas.com.br/eleicoes/pco-rompe-com-lula-apos-apoio-em-2022-e-orienta-voto-nulo-no-segundo-turno-1026">Correio 24 Horas</a></td>
</tr>
<tr class="odd">
<td>Romeu Zema</td>
<td>Novo</td>
<td>Flávio Bolsonaro</td>
<td><a href="https://www.correio24horas.com.br/eleicoes/pco-rompe-com-lula-apos-apoio-em-2022-e-orienta-voto-nulo-no-segundo-turno-1026">Correio 24 Horas</a></td>
</tr>
<tr class="even">
<td>Clariana Barão</td>
<td>DC</td>
<td>Flávio Bolsonaro</td>
<td><a href="https://www.correio24horas.com.br/eleicoes/pco-rompe-com-lula-apos-apoio-em-2022-e-orienta-voto-nulo-no-segundo-turno-1026">Correio 24 Horas</a></td>
</tr>
<tr class="odd">
<td>Wilson Grassi</td>
<td>Democrata</td>
<td>Flávio Bolsonaro</td>
<td><a href="https://www.gazetadopovo.com.br/eleicoes/2026/wilson-grassi-junior-anuncia-apoio-a-flavio-bolsonaro-e-cobra-propostas-para-causa-animal/">Gazeta do Povo</a></td>
</tr>
<tr class="even">
<td>Renan Santos</td>
<td>Missão</td>
<td>Neutral</td>
<td><a href="https://www.correio24horas.com.br/eleicoes/pco-rompe-com-lula-apos-apoio-em-2022-e-orienta-voto-nulo-no-segundo-turno-1026">Correio 24 Horas</a></td>
</tr>
<tr class="odd">
<td>Samara Martins</td>
<td>UP</td>
<td>Lula</td>
<td><a href="https://www.correio24horas.com.br/eleicoes/pco-rompe-com-lula-apos-apoio-em-2022-e-orienta-voto-nulo-no-segundo-turno-1026">Correio 24 Horas</a></td>
</tr>
<tr class="even">
<td>Edmilson Costa</td>
<td>PCB</td>
<td>Lula</td>
<td><a href="https://www.correio24horas.com.br/eleicoes/pco-rompe-com-lula-apos-apoio-em-2022-e-orienta-voto-nulo-no-segundo-turno-1026">Correio 24 Horas</a></td>
</tr>
<tr class="odd">
<td>Hertz Dias</td>
<td>PSTU</td>
<td>Lula</td>
<td><a href="https://www.correio24horas.com.br/eleicoes/pco-rompe-com-lula-apos-apoio-em-2022-e-orienta-voto-nulo-no-segundo-turno-1026">Correio 24 Horas</a></td>
</tr>
<tr class="even">
<td>Rui Costa Pimenta</td>
<td>PCO</td>
<td>Null vote</td>
<td><a href="https://www.correio24horas.com.br/eleicoes/pco-rompe-com-lula-apos-apoio-em-2022-e-orienta-voto-nulo-no-segundo-turno-1026">Correio 24 Horas</a></td>
</tr>
<tr class="odd">
<td>Leonardo Avalanche</td>
<td>PRTB</td>
<td>None (withdrew before first round)</td>
<td><a href="https://www.maisgoias.com.br/politica/goiano-leonardo-avalanche-desiste-de-candidatura-a-presidencia/">Mais Goiás</a></td>
</tr>
</tbody>
</table>
</div>
</figure>
</div>
</div></section><section id="sec-app-quaest" class="level2 appendix"><h2 class="anchored quarto-appendix-heading">Polling of third-candidate voters</h2><div class="quarto-appendix-contents">

<p>In a survey by Quaest, run between 10 and 13 October (<a href="https://www.band.com.br/politica/eleicoes/flavio-lidera-migracao-de-votos-de-caiado-e-renan-lula-herda-mais-com-cury">source</a>), respondents were asked whether and how they voted on 4 October, and their second-round voting intention (Table&nbsp;2).</p>
<div id="tbl-quaest" class="quarto-float quarto-figure quarto-figure-center anchored">
<figure class="quarto-float quarto-float-tbl figure">
<figcaption class="quarto-float-caption-top quarto-float-caption quarto-float-tbl" id="tbl-quaest-caption-0ceaefa1-69ba-4598-a22c-09a6ac19f8ca">
Table&nbsp;2: Second-round vote intention by first-round vote, Quaest poll (10–13 October).
</figcaption>
<div aria-describedby="tbl-quaest-caption-0ceaefa1-69ba-4598-a22c-09a6ac19f8ca">
<table class="caption-top table">
<colgroup>
<col style="width: 20%">
<col style="width: 20%">
<col style="width: 20%">
<col style="width: 20%">
<col style="width: 20%">
</colgroup>
<thead>
<tr class="header">
<th>First-round group (share of sample)</th>
<th>Bolsonaro</th>
<th>Lula</th>
<th>Undecided</th>
<th>Blank/null/won’t vote</th>
</tr>
</thead>
<tbody>
<tr class="odd">
<td>Caiado (2%)</td>
<td>42%</td>
<td>23%</td>
<td>2%</td>
<td>33%</td>
</tr>
<tr class="even">
<td>Renan Santos (2%)</td>
<td>40%</td>
<td>14%</td>
<td>3%</td>
<td>43%</td>
</tr>
<tr class="odd">
<td>Augusto Cury (2%)</td>
<td>30%</td>
<td>34%</td>
<td>6%</td>
<td>30%</td>
</tr>
<tr class="even">
<td>Others (&lt;1%)</td>
<td>38%</td>
<td>33%</td>
<td>7%</td>
<td>22%</td>
</tr>
<tr class="odd">
<td>Abstained or blank/null</td>
<td>38%</td>
<td>43%</td>
<td>2%</td>
<td>17%</td>
</tr>
</tbody>
</table>
</div>
</figure>
</div>
<p>The poll also reported runoff vote intention among voters who had abstained or spoiled their ballot in the first round. 43% said they would vote for Lula and 38% for Bolsonaro. However, we might have reason to doubt these estimates. Only 17% of them said they would abstain or spoil their ballot again.</p>
<p>It is unclear what population this group really represents, which makes using it for extrapolation difficult. It is very unlikely to be a representative sample of all first-round abstainers and spoiled-ballot voters.</p>
<p>If it were, it would imply a runoff valid-vote share of 93.6%, whereas the actual figure was 78.1%. Given how hard it is to reach non-voters in general, and especially in a compulsory-voting context, I assume this subgroup mostly represents voters who spoiled their ballot.</p>
<p>It may also include 16- and 17-year-olds, for whom voting is voluntary. For the projection, I therefore apply these figures only to first-round blank and null votes. Even applying them to abstainers as well, the projection still has Bolsonaro winning (see Figure&nbsp;11).</p>
<div class="cell" data-layout-align="center">
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Figure&nbsp;11
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</div></section><section id="sec-ei-sankey" class="level2 appendix"><h2 class="anchored quarto-appendix-heading">How do the ecological inference and between-round polling estimates compare?</h2><div class="quarto-appendix-contents">

<p>Figure&nbsp;12 compares transition rate estimates from our ecological inference model and the between-round poll. The most striking difference is that the ecological inference estimates predict that almost no blank or null votes went to Bolsonaro. The ecological inference estimates also suggest far more Renan Santos voters split to Lula than predicted.</p>
<p>Neither of these is a “ground truth” of how voters voted in the second round. The poll may be based on an unrepresentative sample, or have missed changes that happened closer to the second round. The ecological inferences are subject to strong assumptions, as discussed.</p>
<p>We will have to see which, if either, was closer once high-quality individual-level post-election polling is released.</p>
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</div>
<figcaption class="quarto-float-caption-bottom quarto-float-caption quarto-float-fig quarto-uncaptioned" id="fig-sankey-compare-caption-0ceaefa1-69ba-4598-a22c-09a6ac19f8ca">
Figure&nbsp;12
</figcaption>
</figure>
</div>
</div>
</div></section><section id="sec-ei-intuition" class="level2 appendix"><h2 class="anchored quarto-appendix-heading">My understanding of the intuition behind ecological inference</h2><div class="quarto-appendix-contents">

<p>We are trying to discover what proportion of each first-round group voted for each option in the second round (i.e.&nbsp;the empty cells in Table&nbsp;3). This would let us see <em>where</em> Lula got his additional votes from: multiplying the size of each first-round group by the proportion of that group who voted for Lula in the second round. However, with only aggregate vote counts, we can’t observe these proportions directly.</p>
<div id="tbl-missing" class="quarto-float quarto-figure quarto-figure-center anchored">
<figure class="quarto-float quarto-float-tbl figure">
<figcaption class="quarto-float-caption-top quarto-float-caption quarto-float-tbl quarto-uncaptioned" id="tbl-missing-caption-0ceaefa1-69ba-4598-a22c-09a6ac19f8ca">
Table&nbsp;3
</figcaption>
<div aria-describedby="tbl-missing-caption-0ceaefa1-69ba-4598-a22c-09a6ac19f8ca">
<table class="caption-top table">
<colgroup>
<col style="width: 11%">
<col style="width: 18%">
<col style="width: 18%">
<col style="width: 18%">
<col style="width: 18%">
<col style="width: 14%">
</colgroup>
<thead>
<tr class="header">
<th>First round ↓ / Second round →</th>
<th style="text-align: center;">Lula</th>
<th style="text-align: center;">Bolsonaro</th>
<th style="text-align: center;">Blank/null</th>
<th style="text-align: center;">Abstained</th>
<th style="text-align: right;"><strong>First-round total</strong></th>
</tr>
</thead>
<tbody>
<tr class="odd">
<td>Lula</td>
<td style="text-align: center;">?</td>
<td style="text-align: center;">?</td>
<td style="text-align: center;">?</td>
<td style="text-align: center;">?</td>
<td style="text-align: right;"><strong>53.9M</strong></td>
</tr>
<tr class="even">
<td>Bolsonaro</td>
<td style="text-align: center;">?</td>
<td style="text-align: center;">?</td>
<td style="text-align: center;">?</td>
<td style="text-align: center;">?</td>
<td style="text-align: right;"><strong>56.1M</strong></td>
</tr>
<tr class="odd">
<td>Third candidates</td>
<td style="text-align: center;">?</td>
<td style="text-align: center;">?</td>
<td style="text-align: center;">?</td>
<td style="text-align: center;">?</td>
<td style="text-align: right;"><strong>9.3M</strong></td>
</tr>
<tr class="even">
<td>Blank/null</td>
<td style="text-align: center;">?</td>
<td style="text-align: center;">?</td>
<td style="text-align: center;">?</td>
<td style="text-align: center;">?</td>
<td style="text-align: right;"><strong>6.0M</strong></td>
</tr>
<tr class="odd">
<td>Abstained</td>
<td style="text-align: center;">?</td>
<td style="text-align: center;">?</td>
<td style="text-align: center;">?</td>
<td style="text-align: center;">?</td>
<td style="text-align: right;"><strong>33.5M</strong></td>
</tr>
<tr class="even">
<td><strong>Second-round total</strong></td>
<td style="text-align: center;"><strong>64.3M</strong></td>
<td style="text-align: center;"><strong>59.8M</strong></td>
<td style="text-align: center;"><strong>4.2M</strong></td>
<td style="text-align: center;"><strong>30.5M</strong></td>
<td style="text-align: right;"><strong>158.8M</strong></td>
</tr>
</tbody>
</table>
</div>
</figure>
</div>
<p>From aggregate data, we can see the totals from each round (the margins), but not the combinations of first- and second-round choices (the cells).</p>
<p>The idea of ecological inference is to use variation across areas to estimate these cells. Areas with a very high or very low share of a group tell us most about how that group behaves. If we assume that people transfer their votes at similar rates everywhere (a strong assumption), we can in principle recover the national transition rates. The toy example below shows an extreme version of this, and how it can go wrong.</p>
<p><strong>Example</strong></p>
<p>Imagine there are only two candidates, A and B, and everyone votes in both rounds. There are three areas with 1,000 voters each. We want to know what share of each first-round group voted A in the second round. The true rates, which we never get to see, are:</p>
<ul>
<li>90% of first-round A voters vote A again, and 10% switch to B.</li>
<li>30% of first-round B voters switch to A, and 70% stay with B.</li>
</ul>
<p>Across the three areas, we observe the totals for each round, but not how many voters switched between rounds (Table&nbsp;4).</p>
<div id="tbl-toy-missing" class="quarto-float quarto-figure quarto-figure-center anchored">
<figure class="quarto-float quarto-float-tbl figure">
<figcaption class="quarto-float-caption-top quarto-float-caption quarto-float-tbl quarto-uncaptioned" id="tbl-toy-missing-caption-0ceaefa1-69ba-4598-a22c-09a6ac19f8ca">
Table&nbsp;4
</figcaption>
<div aria-describedby="tbl-toy-missing-caption-0ceaefa1-69ba-4598-a22c-09a6ac19f8ca">
<table class="caption-top table">
<thead>
<tr class="header">
<th>Round 1 ↓ / Round 2 →</th>
<th style="text-align: center;">A</th>
<th style="text-align: center;">B</th>
<th style="text-align: right;"><strong>Round 1 total</strong></th>
</tr>
</thead>
<tbody>
<tr class="odd">
<td>A</td>
<td style="text-align: center;">?</td>
<td style="text-align: center;">?</td>
<td style="text-align: right;"><strong>1,500</strong></td>
</tr>
<tr class="even">
<td>B</td>
<td style="text-align: center;">?</td>
<td style="text-align: center;">?</td>
<td style="text-align: right;"><strong>1,500</strong></td>
</tr>
<tr class="odd">
<td><strong>Round 2 total</strong></td>
<td style="text-align: center;"><strong>1,800</strong></td>
<td style="text-align: center;"><strong>1,200</strong></td>
<td style="text-align: right;"><strong>3,000</strong></td>
</tr>
</tbody>
</table>
</div>
</figure>
</div>
<p>These totals are consistent with many possible transition rates, so we can’t recover the true rates from this information alone. For example, all 1,500 first-round A voters could have voted A again, with 300 B voters switching to A. Or 1,200 A voters could have stayed, with 600 B voters switching. Both give exactly the same totals.</p>
<p>Now let’s break the results down into the three areas. Imagine that in the first round one area voted 100% for A, another voted 0% for A (i.e.&nbsp;100% for B), and the third was split 50/50 (Table&nbsp;5).</p>
<div id="tbl-toy-areas" class="quarto-float quarto-figure quarto-figure-center anchored">
<figure class="quarto-float quarto-float-tbl figure">
<figcaption class="quarto-float-caption-top quarto-float-caption quarto-float-tbl quarto-uncaptioned" id="tbl-toy-areas-caption-0ceaefa1-69ba-4598-a22c-09a6ac19f8ca">
Table&nbsp;5
</figcaption>
<div aria-describedby="tbl-toy-areas-caption-0ceaefa1-69ba-4598-a22c-09a6ac19f8ca">
<table class="caption-top table">
<colgroup>
<col style="width: 16%">
<col style="width: 27%">
<col style="width: 27%">
<col style="width: 27%">
</colgroup>
<thead>
<tr class="header">
<th>Area</th>
<th style="text-align: center;">First-round A share</th>
<th style="text-align: center;">Second-round A votes</th>
<th style="text-align: center;">Second-round A share</th>
</tr>
</thead>
<tbody>
<tr class="odd">
<td>1</td>
<td style="text-align: center;">100%</td>
<td style="text-align: center;">900</td>
<td style="text-align: center;">90%</td>
</tr>
<tr class="even">
<td>2</td>
<td style="text-align: center;">0%</td>
<td style="text-align: center;">300</td>
<td style="text-align: center;">30%</td>
</tr>
<tr class="odd">
<td>3</td>
<td style="text-align: center;">50%</td>
<td style="text-align: center;">600</td>
<td style="text-align: center;">60%</td>
</tr>
</tbody>
</table>
</div>
</figure>
</div>
<p>Area 1 contains <em>only</em> first-round A voters, so we can tell that 90% of them voted A again. Area 2 contains <em>only</em> first-round B voters, so A’s 30% share there in the second round means 30% of B voters must have switched to A.</p>
<p>If the rates are the same everywhere, then in Area 3, 90% of first-round A voters and 30% of first-round B voters vote A. That gives A a second-round share of 0.5 × 90% + 0.5 × 30% = 60%. All three areas lie on a straight line (Figure&nbsp;13). Its value where first-round A share is 0% is the B → A rate, and its value at 100% is the A → A rate.</p>
<div class="cell" data-layout-align="center">
<div class="cell-output-display">
<div id="fig-toy-line" class="quarto-float quarto-figure quarto-figure-center anchored" width="1800" data-fig-align="center">
<figure class="quarto-float quarto-float-fig figure">
<div aria-describedby="fig-toy-line-caption-0ceaefa1-69ba-4598-a22c-09a6ac19f8ca">
<img src="https://blog.lenmetson.com/posts/how-lula-won/index_files/figure-html/fig-toy-line-1.png" id="fig-toy-line" class="img-fluid quarto-figure quarto-figure-center anchored figure-img" width="1800">
</div>
<figcaption class="quarto-float-caption-bottom quarto-float-caption quarto-float-fig quarto-uncaptioned" id="fig-toy-line-caption-0ceaefa1-69ba-4598-a22c-09a6ac19f8ca">
Figure&nbsp;13
</figcaption>
</figure>
</div>
</div>
</div>
<p>In real data we have far more areas, but we almost never see areas made up entirely of one group. Instead, we fit a line through many mixed areas and extend it to estimate the rates at each end, where the group makes up 0% or 100% of voters. This logic <em>depends</em> on transition rates being the same across areas.</p>
<div class="cell" data-layout-align="center">
<div class="cell-output-display">
<div id="fig-toy-sim" class="quarto-float quarto-figure quarto-figure-center anchored" width="1800" data-fig-align="center">
<figure class="quarto-float quarto-float-fig figure">
<div aria-describedby="fig-toy-sim-caption-0ceaefa1-69ba-4598-a22c-09a6ac19f8ca">
<img src="https://blog.lenmetson.com/posts/how-lula-won/index_files/figure-html/fig-toy-sim-1.png" id="fig-toy-sim" class="img-fluid quarto-figure quarto-figure-center anchored figure-img" width="1800">
</div>
<figcaption class="quarto-float-caption-bottom quarto-float-caption quarto-float-fig quarto-uncaptioned" id="fig-toy-sim-caption-0ceaefa1-69ba-4598-a22c-09a6ac19f8ca">
Figure&nbsp;14
</figcaption>
</figure>
</div>
</div>
</div>
<p>Figure&nbsp;14 shows simulated data from 200 areas in two worlds. In green, the circles and solid line show what we would observe if transition rates were the same everywhere. Extending the line to 0% and 100% first-round A share correctly recovers the true rates (the red crosses). In orange, the triangles and dashed line show a world with the same average rates, but where behaviour varies with local support: where A did well, A voters were more loyal and B voters were more likely to switch to A.</p>
<p>Extending this line underestimates the B → A rate (18% rather than 30%) and overestimates the A → A rate (103% rather than 90%).</p>
<p>This example also shows how linear extrapolation can lead to implausible estimates (we estimate a transition rate for A → A of 103%).</p>
<p>Crucially, the orange points still sit on a tidy straight line, so nothing in the data warns us that something is wrong. The ends of the line tell us how voters behave in the most A-heavy and B-heavy areas, and in this world those voters aren’t typical.</p>
<p>The methods used for ecological inference in practice are far more sophisticated than this. They can control for background features of places, partly relax the assumption that transition rates are the same everywhere, and rule out impossible estimates. But fundamentally, none of them can get around the need to make some strong assumptions.</p>



</div></section><section class="quarto-appendix-contents" id="quarto-bibliography"><h2 class="anchored quarto-appendix-heading">References</h2><div id="refs" class="references csl-bib-body hanging-indent" data-entry-spacing="0" data-line-spacing="2">
<div id="ref-broockman_durably_2016" class="csl-entry">
Broockman, D., &amp; Kalla, J. (2016). Durably reducing transphobia: A field experiment on door-to-door canvassing. <em>Science</em>, <em>352</em>(6282), 220–224. <a href="https://doi.org/10.1126/science.aad9713">https://doi.org/10.1126/science.aad9713</a>
</div>
<div id="ref-ft_brazil" class="csl-entry">
Dyer, G., Pooler, M., &amp; Beatriz, L. (2026). <em>How lula turned his election fortunes around in three weeks</em>. Financial Times. <a href="https://www.ft.com/content/629894c7-e753-4e77-9794-c363c64dce9a">https://www.ft.com/content/629894c7-e753-4e77-9794-c363c64dce9a</a>
</div>
<div id="ref-foos_electioncampaigns2026" class="csl-entry">
Foos, F., &amp; Metson, L. (2026). Election campaigns. <em>Preprint</em>. https://doi.org/<a href="https://osf.io/preprints/socarxiv/sf7cv_v1">https://osf.io/preprints/socarxiv/sf7cv_v1</a>
</div>
<div id="ref-fujiwara_regression_2011" class="csl-entry">
Fujiwara, T. (2011). A regression discontinuity test of strategic voting and duverger’s law. <em>Quarterly Journal of Political Science</em>, <em>6</em>(3), 197–233. <a href="https://doi.org/10.1561/100.00010037">https://doi.org/10.1561/100.00010037</a>
</div>
<div id="ref-kalla_which_2023" class="csl-entry">
Kalla, &amp; Broockman. (2023). Which narrative strategies durably reduce prejudice? Evidence from field and survey experiments supporting the efficacy of perspective‐getting. <em>American Journal of Political Science</em>, ajps.12657. <a href="https://doi.org/10.1111/ajps.12657">https://doi.org/10.1111/ajps.12657</a>
</div>
<div id="ref-kreiss_prototype_2016" class="csl-entry">
Kreiss, D. (2016). <em>Prototype politics: Technology-intensive campaigning and the data of democracy</em>. Oxford University Press.
</div>
<div id="ref-mckenna_groundbreakers_2014" class="csl-entry">
McKenna, E., &amp; Han, H. (2014). <em>Groundbreakers: How obama’s 2.2 million volunteers transformed campaigning in america</em>. Oxford University Press.
</div>
<div id="ref-morales2026" class="csl-entry">
Morales, A. (2026). <em>Punishment for not voting in brazil and how to fix it</em>. The Rio Times. <a href="https://www.riotimesonline.com/punishment-for-not-voting-in-brazil-2026/">https://www.riotimesonline.com/punishment-for-not-voting-in-brazil-2026/</a>
</div>
<div id="ref-romero_assessing_2020" class="csl-entry">
Romero, R., Pavía, J. M., Martín, J., &amp; Romero, G. (2020). Assessing uncertainty of voter transitions estimated from aggregated data. Application to the 2017 french presidential election. <em>Journal of Applied Statistics</em>, <em>47</em>(13), 2711–2736. <a href="https://doi.org/10.1080/02664763.2020.1804842">https://doi.org/10.1080/02664763.2020.1804842</a>
</div>
<div id="ref-wiki_election2026" class="csl-entry">
Wikipedia. (n.d.-a). <em>2026 brazilian general election</em>. Wikipedia. Retrieved October 26, 2026, from <a href="https://en.wikipedia.org/wiki/2026_Brazilian_general_election#Campaign">https://en.wikipedia.org/wiki/2026_Brazilian_general_election#Campaign</a>
</div>
<div id="ref-wiki_janones" class="csl-entry">
Wikipedia. (n.d.-b). <em>André janones</em>. Wikipedia. Retrieved October 26, 2026, from <a href="https://en.wikipedia.org/wiki/Andr%C3%A9_Janones">https://en.wikipedia.org/wiki/Andr%C3%A9_Janones</a>
</div>
</div></section></div> ]]></description>
  <category>ELECTIONS</category>
  <category>BRAZIL</category>
  <guid>https://blog.lenmetson.com/posts/how-lula-won/</guid>
  <pubDate>Fri, 30 Oct 2026 00:00:00 GMT</pubDate>
  <media:content url="https://blog.lenmetson.com/posts/how-lula-won/thumbnail.png" medium="image" type="image/png" height="68" width="144"/>
</item>
<item>
  <title>Attention Please</title>
  <dc:creator>Lennard Metson</dc:creator>
  <link>https://blog.lenmetson.com/posts/attention-please/</link>
  <description><![CDATA[ 





<!-- ::: {.callout-note}
## tl;dr



::: -->
<p>The average study testing a campaign message goes something like this: a sample of (mostly) human<sup>1</sup> online respondents is <em>randomly</em> selected to be shown a message or video and then asked questions about whatever the campaign is interested in finding out about, often how they will vote. The analyst then compares the answers of those who saw the message with those who didn’t to work out the effect of the message.</p>
<div class="no-row-height column-margin column-container"><div id="fn1"><p><sup>1</sup>&nbsp;See this <a href="https://laurenleek.substack.com/p/the-quiet-collapse-of-surveys-fewer">post</a> by Lauren Leek and its <a href="https://laurenleek.substack.com/p/the-quiet-collapse-of-surveys-part">follow-up</a>.</p></div></div><p><span class="citation" data-cites="hewitt_how_2024">Hewitt et al. (2024)</span> study an archive of such message tests conducted by the company Swayable during the 2018 and 2020 US elections. Their conclusion is simple: pre-testing online messages creates huge electoral advantages by allowing campaigns to identify the most persuasive ads and focus their budget on these.</p>
<p>But there’s a slight problem. From academic research at least, we don’t know that <em>any</em> online ads really persuade voters. Our best guess is that, when deployed in the real world, online ads increase vote share by about 0.7 of a percentage point <span class="citation" data-cites="coppock_does_2022">(Coppock et al., 2022)</span>. Moreover, we can’t take it for granted that other, more intensive forms of voter contact - such as door-to-door canvassing - persuade voters to change their vote either <span class="citation" data-cites="kalla_minimal_2017">(Kalla &amp; Broockman, 2017)</span>.</p>
<p>A more direct comparison comes from a brilliant paper by two researchers interested in how to persuade the public to support policies addressing the climate crisis. <span class="citation" data-cites="carnes_not_2025">Carnes &amp; Henderson (2025)</span> essentially replicate a pre-testing-to-deployment pipeline, but carry on testing the interventions as they are sent out into the world. They found that messages which looked promising in pre-testing didn’t work when mailed out to people.</p>
<p>So what goes wrong? In a <a href="https://www.benmtappin.com/publication/survey-value-note/">note</a>, Ben Tappin has outlined a framework for understanding, from the perspective of practitioners, what surveys are useful for. Surveys can be misleading when the population who take them differs from the population who receive the message in the real world, or when the message simply doesn’t reach its audience in the real world. For an extensive description of all these features, do make sure to read the note.</p>
<p><span class="citation" data-cites="carnes_not_2025">Carnes &amp; Henderson (2025)</span> focus on attention. In a follow-up survey experiment they vary the extent to which respondents are forced to pay attention to the treatment, and find that messages only work when respondents are <em>made</em> to pay attention to them.</p>
<p>Attention requires people to actually receive a message. In experimental design, we call this “compliance”. Broadly, analysts have two options when dealing with non-compliance: ignore it or model it. Ignoring it, we can look at the effect of <em>trying</em> to deliver the intervention - the intent-to-treat (ITT) effect. Modelling it, we can first look at the effect of trying to give people the intervention on whether they actually get it, and use this to scale the ITT. This gives us the complier-average-causal-effect (CACE): the effect of the intervention among the type of people who would receive it if you attempted to contact them.</p>
<p>Often, however, there are multiple ways to define compliance in each case, so the CACE can mean very different things between studies. For example, when can we say someone has actually ‘received’ a political leaflet - when it’s gone through their letterbox, or only when they’ve seen it? What if they’ve seen it but not read it, or read it but not processed it? The point is that we can only measure one of these, so the CACE in this case would tell us something about the effect of the leaflet among people who can be successfully reached by mail.</p>
<p>It’s not just about attention, though. Sometimes treatments are simply easier to execute in a survey setting. In a project I’m working on, we randomly assigned campaign supporters to messages tailored to the issue they had previously stated they cared most about. The problem here is that the treatment (tailored messaging) requires the sender to know something about the person receiving it - in this case, the issue they cared about most. In a survey, this is trivial: ask them. But in the real world this type of information is hard to obtain, and quickly gets outdated. So whilst this type of issue tailoring has been shown to work in surveys, we found it didn’t work in the field (unless the message explicitly mentioned that the recipient had previously raised the issue).</p>
<p>What can practitioners do? Firstly, they should pay close attention to what a message test <em>can</em> tell them. In Tappin’s <span class="citation" data-cites="tappin_thinking_2026">(2026)</span> framework, they should reflect on whether they want to know <em>whether</em> to deploy a particular message, or <em>which</em> message to deploy. Message tests from surveys are rarely useful for understanding whether a message will be effective overall, because so many factors differ between a survey and the real world that the effect size estimated in a survey is often much larger than the effect in the field.<sup>2</sup> In political campaigns, this is generally not the question practitioners are asking (although perhaps it should be, given how little we know about the effects of persuasion interventions). Instead, they are often interested in finding out <em>which</em> message to use. Surveys can be more helpful here, as it’s less likely that something about the survey setting changes the <em>relative</em> effectiveness of messages. Secondly, practitioners are generally well placed to test things in the field, as they are delivered. This can be costly, and is certainly more costly than message testing in surveys. However, doing a few well-executed field tests can buy valuable knowledge about how future surveys may, or may not, tell us what might work.</p>



<div class="no-row-height column-margin column-container"><div id="fn2"><p><sup>2</sup>&nbsp;It’s worth noting this suggests that if we see only a very small effect in surveys, it is very unlikely to work in the field.</p></div></div>

<div id="quarto-appendix" class="default"><section class="quarto-appendix-contents" id="quarto-bibliography"><h2 class="anchored quarto-appendix-heading">References</h2><div id="refs" class="references csl-bib-body hanging-indent" data-entry-spacing="0" data-line-spacing="2">
<div id="ref-carnes_not_2025" class="csl-entry">
Carnes, N., &amp; Henderson, G. L. (2025). Not getting the message on climate? Attention as a key barrier to mass-marketing experimentally-validated messages. <em>British Journal of Political Science</em>, <em>55</em>, e106. <a href="https://doi.org/10.1017/S000712342510063X">https://doi.org/10.1017/S000712342510063X</a>
</div>
<div id="ref-coppock_does_2022" class="csl-entry">
Coppock, A., Green, D. P., &amp; Porter, E. (2022). Does digital advertising affect vote choice? Evidence from a randomized field experiment. <em>Research &amp; Politics</em>, <em>9</em>(1), 2053–1680. <a href="https://doi.org/10.1177/20531680221076901">https://doi.org/10.1177/20531680221076901</a>
</div>
<div id="ref-hewitt_how_2024" class="csl-entry">
Hewitt, L., Broockman, D., Coppock, A., Tappin, B. M., Slezak, J., Coffman, V., Lubin, N., &amp; Hamidian, M. (2024). How experiments help campaigns persuade voters: Evidence from a large archive of campaigns’ own experiments. <em>American Political Science Review</em>, <em>118</em>, 1–19. <a href="https://doi.org/10.1017/S0003055423001387">https://doi.org/10.1017/S0003055423001387</a>
</div>
<div id="ref-kalla_minimal_2017" class="csl-entry">
Kalla, J., &amp; Broockman, D. E. (2017). The minimal persuasive effects of campaign contact in general elections: Evidence from 49 field experiments. <em>American Political Science Review</em>, <em>112</em>(1), 148–166. <a href="https://doi.org/10.1017/s0003055417000363">https://doi.org/10.1017/s0003055417000363</a>
</div>
<div id="ref-tappin_thinking_2026" class="csl-entry">
Tappin, B. (2026). <em>Thinking clearly about the value of survey pretesting for practitioners</em>. <a href="https://www.benmtappin.com/publication/survey-value-note/">https://www.benmtappin.com/publication/survey-value-note/</a>
</div>
</div></section></div> ]]></description>
  <category>EXPERIMENTS</category>
  <guid>https://blog.lenmetson.com/posts/attention-please/</guid>
  <pubDate>Fri, 03 Jul 2026 00:00:00 GMT</pubDate>
  <media:content url="https://blog.lenmetson.com/posts/attention-please/pexels-samma97-6162932.jpg" medium="image" type="image/jpeg"/>
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