Lebanon, welcome to open alliance lists!

Lebanon’s election is coming up (6 May), and the country is getting its first look at a new open-list proportional electoral system (profiled previously here by Amal Hamdan).

An interesting blog post from 12 March by Gino Raidy has just come to my attention*: “Why Political Parties are Terrified of Forming Lists”. The author discusses the perils for parties joining on an alliance list. Because the lists are open, it is possible for one party to help boost its partner’s seats but elect none of its own candidates. On the other hand, it is also possible that parties (and alliances) will want to recruit relatively independent figures who can appeal to a wider electorate.

These sorts of issues may be new to Lebanon, but they will be familiar to readers of this blog. I have talked about them before, most recently in a discussion of Brazil and Finland, where open alliance lists have been in place for some time.

*Thanks, Dan W.!

Emerging signs of clarity in Colombian presidential contest?

Colombia Report notes that the leading center-right candidate for the presidency, Ivan Duque, has surged dramatically, according to a recent poll. The main candidate of the left, Gustavo Petro, also has surged, albeit less dramatically.

The article indicates that:

The poll was the first since legislative elections that were held on March 11.

As I noted before those elections, that is what counter-honeymoon congressional elections do: clarify the field. It’s also why they tend to be so highly fragmented, with parties associated with many potential presidential candidates running to show their strength in advance of the actual presidential contest.

The surges by Duque and Petro come on the heels of their victories in presidential nominating primaries held at the same time as the congressional elections.

The Colombian presidential election is held in two rounds if (as is expected to be the case) no one wins over half the votes in the first round. If this poll is capturing a trend, rather than an outlier, there may not be much drama in who the top two will be, but the runoff campaign would be critical to consolidating support from the many also-rans. The poll in question has Duque at 40%, and runner-up Petro at only 24%. The third candidate, Sergio Fajardo, is way back, under 10%.

It is possible that the surges of Duque and Petro are temporary boosts from the primaries, and that the one or two of the other candidates–who did not run in primaries–will recover. On the other hand, it is just as possible that running in (and winning!) a primary is a smashingly good way to advertise your presidential campaign.

Colombia 2018: Counter-honeymoon elections and presidential primaries

Colombians have voted today in elections for the two chambers of the congress and in (optional) presidential primaries. I believe Colombia is the only country to hold assembly and presidential-primary elections on the same day. Notably, these are the first elections in which the political party formed by the former guerrilla movement, FARC, is participating.

Colombia is rare among presidential (or semi-presidential) democracies in using counter-honeymoon elections over a long time frame. A counter-honeymoon election is one held late in the presidential term, much closer to the next presidential election.

In fact, I believe that since 1958, only three Colombian congressional elections have not been in the counter-honeymoon: 1970 and 1974 (which were concurrent) and 1991 (which was an early election called by the Constituent Assembly that had been elected the preceding year to create a new constitution).

By the measure of elapsed time between presidential elections, Colombia is about as extreme as can be. The elapsed time of its recent elections, including today’s, has been around 0.95. In other words, when the congress is elected, only 5% of the time between presidential elections remains.

Among all elections from presidential systems in the dataset used for Votes from Seats, the mean elapsed time is 0.268. However, most assembly elections in the wider world of presidential democracies are concurrent. If we eliminate these from the sample, the mean is 0.540. In other words, on average, non-concurrent elections tend to be held around the midterm. But the range is large. The minimum is 0.164 (France 1988; the 2017 honeymoon election France also had a similar value). The maximum is 0.992 (Poland 2005; another near the maximum was El Salvador 2009).

When an election is this late in a presidential term it is likely to be essentially a preliminary round of competition for the upcoming presidential election. I wrote about this effect in Colombia in 2010. That would be the expected effect even if there were no presidential candidates on the ballot, but in Colombia, there are. Parties that choose to hold a presidential primary (consulta) hold them on the same date as the congressional elections. The first such primary was held by the Liberal Party at the same time as the 1990 congressional elections. And most congressional elections since then have featured one or more primaries.

There were two primaries in Colombia today. They were not actually party primaries, but something new for Colombia (and rare anywhere): alliance primaries. There is a right-wing alliance holding a primary among three candidates, including those of the Democratic Center (the party led by former President Alvaro Uribe and strongly opposed to the peace terms the FARC received) and the Conservative Party. Then there is a left-wing alliance holding a primary among two candidates. In addition, there are other parties that already have nominated candidates for the upcoming first round of the presidential contest itself, and thus are not holding primaries. The primaries are “open” in the sense that any voter may request either one of the primary ballots. (See details at AS-COA.)

According to data graphed and analyzed statistically in Votes from Seats, counter-honeymoon elections tend to be more fragmented than those at other points in the term. The Seat Product Model, predicting the effective number of parties (both seat-winning and vote-earning) tends to be quite accurate for assemblies in presidential democracies* except when held with an elapsed time greater than roughly 0.90. Really late-term elections have a tendency to an effective number of parties significantly higher than the Seat Product Model prediction (depicted in Figure 12.1 in the book).

We suspect that is precisely because with the current president’s term almost up, and politicians jockeying for position in the next presidential election, more parties enter and receive votes as a sort of “testing of the waters” prior to the presidential election.

Would holding presidential primaries on the same day dampen this fragmenting effect of the counter-honeymoon? I see no reason why it would. It simply inflates the number of presidential candidates (or “pre-candidates”) testing the waters. Moreover, if the primary is for an alliance, rather than a single party–as is the case in Colombia this year–then the parties have every incentive to run separately and seek to boost their legislative vote as well as their preferred candidate for the presidency.

Thus Colombia’s high fragmentation in recent elections might be explained both by the counter-honeymoon assembly election and the primaries. Moreover, the presidential election itself is a two-round process, and the Senate is a single nationwide district (M=100). That is a lot of things pointing towards a high number of parties!

As for the FARC’s electoral debut, how many seats will it win? I will predict five in each house.***


* Despite more variation overall than is the case in parliamentary democracies.

** This is one of the easier predictions I will ever make. This is what the peace accord guarantees them. They could win more, if they won sufficient votes to elect more. That is highly unlikely.
</small >


The Salvadoran result 2018: The electoral cycle counts!

[Note: the following has been revised based on updated voting results– 9 March, 17:17 PM PST]

Before the assembly election in El Salvador, I suggested that the FMLN should be expected to win 24.2% of the vote. I hedged, saying I thought the Salvadoran party system probably was still too rigid to allow one of its two leading parties to fall off that far. I should not have hedged, because the preliminary results show that the largest party will be the opposition ARENA, which won 42.3%. The FMLN got 24.4%. How about that. I was off by a tenth of a percentage point in my pre-election prediction!

Well, as nice as that would be as a story, it is more complicated than that…

now realize that I made an error in calculating my expectation of 24.2%. I based the expectation on the fact that the FMLN is the party of the incumbent president, that this election was being held with 80% of the president’s inter-electoral time lapsed, and the president’s own (first-round) vote total (in 2013). It was in the latter factor that I made a mistake, using 39.0%; that was the ARENA total, but the FMLN candidate, Salvador Sánchez Cerén, had 48.9%. Plugging that into the formula (shown below), I should have “expected” the FMLN to get 30.3% of the vote in this past Sunday’s assembly election. So the party actually did a good deal worse than the corrected expectation. And I did worse in my prediction.

Perhaps the party system is no longer so rigid; one of the leading parties can fall below a quarter of the votes after all. Alternatively, as I shall explore here, perhaps I made a second countervailing mistake, which was not to include a coalition partner. If we add the votes of GANA, a center-right party but one that has supported FMLN presidencies since 2010 and, importantly, did not compete against Sánchez Cerén in the presidential contest, we get 35.9%. That’s greater that my (corrected) expectation of 30.3%, but somewhat closer to it than the FMLN’s own vote. I will return to this issue of party vs. alliance later.

The FMLN’s 24.4% is its worst showing in the votes for assembly since its debut election in 1994 (21.4%); that election was concurrent with the presidential election and the party ran just behind its presidential candidate (24.9%) who was a very distant second. Since then, the party has won 33.0%, 35.2%, 34.0%, 39.7%, 42.6%, 36.8%, 37.2%, and now 24.4%.

The party’s high-water mark was 2009, the “counter-honeymoon” election that presaged the leftist, ex-guerrila, party’s first presidential win a few months later.* Then, holding the presidency, it slipped in 2012, an election held with about 60% of the president’s term elapsed. In 2014, it won the presidency again, then held its own in the 2015 election, held with 20% of the new president’s term elapsed.

GANA first appeared, as a split from ARENA, in 2010, just under a year after the election of the first FMLN president. It has now run in three assembly elections staring with 2012, and its votes have been 9.6%, 9.2%, and 11.5%. Interestingly, it gained in 2018 even while the FMLN lost badly. If we add the two parties’ votes together for the last three elections, we get 46.4% (not much less than Sánchez Cerén’s own percentage in 2014), 46.4% (yes, again) in 2015, and 35.9%. That is obviously a sharp decline in the two parties’ combined votes, even if one of the partners did experience an increase. FMLN and GANA will now will have around 40% of the assembly seats, whereas they held half the seats after both the 2012 and 2015 elections.

What led to the sharp decline this time? Many political factors, no doubt. But what really counts is the elapsed time–an election this late in a presidential term tends to be bad for the presidential party–or alliance. The FMLN in 2018 is just the latest example of an effect I first researched in my dissertation (1988) and published about in the APSR in 1995.

Now, via Votes from Seats, we have a formula:


where Rp is the “presidential vote ratio”– vote share of the president’s party in the assembly election, divided by the president’s own vote share (in the first round, if two-round system)–and E is the elapsed time (the number of months into the presidential inter-electoral period in which the assembly election takes place).

The key question around which this post is based is whether we should mean “party” literally as the party of which the president is nominee, or if we should include supporting parties that do not compete against the candidate. If you think it is cheating to use the alliance, I am being transparent and reporting the party totals. If you think it is OK to use the alliance when the two parties in question do not compete against each for presidency and cooperate in the assembly–despite running separately–we can compute the totals that way, too.

The formula above expects Rp=0.620 because E=0.80 for this election. Using only the FMLN assembly vote only, observed Rp=0.244/0.489=0.489. Using the FMLN+GANA vote, observed Rp=0.359/0.489=0.734. With the expected Rp=0.620, we get the previously mentioned expectation of 0.303 for the president’s alliance vote share. Obviously the president’s own vote does not change with these calculations, because any GANA-aligned voters who voted for the FMLN candidate are already included. This is why I think it makes sense to use the combined votes–not only because it makes the formula “work” better. (Honest! But F&V readers get to do peer review here!)**

This is the second nonconcurrent assembly election I have watched closely since Rein Taagepera and I developed the formula for our book (published in October, 2017). The other was in France. In April, 2017, I “predicted” that the brand new party of Emmanuel Macron would win around 29% of the vote. This was the day after the first round, and assuming he would win the second round (which he did, easily). At the time, much media commentary was of a hand-wringing character: Macron would be weak, maybe even face cohabitation, because he didn’t have any party to speak of. I said no, the electoral cycle will ensure he gets a good boost in votes in the assembly election. An elapsed time (E) of 0.017, an extreme “honeymoon” election, would almost guarantee it.

In fact, the election resulted in Macron’s party winning 32% of the vote. (And, a large majority of seats, due to the disproportional electoral system.)

So, that’s two elections in the past year called (more or less) correctly, within a few percentage points, based only on the elapsed time and the president’s own initial vote share.

I still hesitate to call this a prediction, because the parameters in the formula (1.20 and 0.725, above) are not themselves based on deductive logic. And perhaps I also should hesitate because of the ambiguity over party vs. alliance, as discussed in this post. But there just may be something to these electoral cycle effects, after all.

[Note: lightly edited since posting.]

______ Notes
* The 2009 presidential election featured only two candidates. So the party’s presidential vote was inflated due to the abstention of all but the two big parties from the presidential race that year. This is the only time smaller parties have not contested the first round. As I said at the time, the decision by the then-ARENA majority to shift from a concurrent to counter-honeymoon assembly election that year converted the assembly election into a “de-facto first round of the presidential election”. The right got spooked, perhaps, by the strong showing of the FMLN, and did not want to risk a division, even in the two-round election. The left followed suit and, with a sole candidate, narrowly won.

** In the 2015 election, based on the new president’s 48.9% of the (first round) vote in 2014 and elapsed time, E=0.20, we would have expected a votes ratio Rp=1.055. That would mean an assembly vote percentage of 51.6%. The FMLN itself won only 37.2%, but if we include GANA, as noted, we get 46.4% (Rp=0.949), which is a small under-performance. (Consequential, of course, as they failed to get the majority predicted.) How about one election farther back in the cycle? In 2012, GANA existed, but that party had not existed at the time the then-incumbent president of the FMLN was elected. So we certainly can’t include it in the calculation for 2012! For that election E=0.60, and so expected Rp=0.765. The president had won 51.3%, so we’d expect the FMLN to have won 39.2%. It actually won 36.8% (observed Rp=0.719), so it did only a little worse than the formula suggests it could have expected.


Italy 2018: Assessing the electoral-system effect

[Note: data calculations in this post are based on preliminary results. For some updated information, see the comments by Manuel below.]

The Italian election of 4 March produced an “inconclusive” result, as the media (at least English-language) are fond of saying when no party wins a majority. However, there are many aspects of the Italian result that are being reported with considerable confusion over how the electoral system works. In this post, I want to try to offer a corrective, based on the results published in La Repubblica.

These summaries will apply to the Chamber of Deputies only. The interested reader is invited to perform the equivalent calculations on the Senate and report them to the rest of us.

One common note of confusion I have seen in media accounts is insufficient clarity about the distinction between alliance (or “coalition”) and party. The design of the electoral system is fundamentally one that works on pre-election alliances, each consisting of one or more parties. Obviously, if an “alliance” consists of only one party, it is just that–a party. Rather than invent some encompassing term, I will use “alliance” when referring to the set of vote-earning entities (that would be a “more encompassing term”!) that includes pre-electoral coalitions, and “party” only when looking at the sub-alliance vote-earning entities. In the case of the Five State Movement (M5S), the “alliance” and “party” are the same thing. In the case of the other two main entities, they are different. Centrodestra (Center-right, or CDX) is a pre-electoral alliance consisting of the Lega, Forza Italia, and other parties. Centrosinistra (Center-left or CSX) is a pre-electoral alliance consisting of the Democrats (PD) and other parties.

No alliance has achieved a majority of seats. The M5S is the biggest party, while the CDX is the biggest alliance. As the table below shows, CDX leads with 263 seats, with M5S second on 222. The CSX has 118.

The breakdown is as follows, showing the three main alliances, plus a fourth one, Liberi e Uguale, which was the only other to clear the 3% threshold for individual parties or 10% for multiparty alliances:

Alliance % votes seats % seats
Centrodestra 37.0 263 42.5
M5S 32.7 222 35.9
Centrosinistra 22.8 118 19.1
Liberi e uguali 3.4 14 2.3
others 4.1 2 0.3

(There are two other seats indicated as being won by “Maie” [Associative Movement Italians Abroad] and “Usei” [South American Union Italian Emigrants]; no vote totals are given.)

The total comes to 619. Another summation from the same sources yields 620. I will not worry about the small discrepancy.

As an aside, I have seen at least two accounts of the result that have had phrasing referring to no party having won the 40% “required” to form a majority. There is no such requirement. It is true that no alliance or party attained 40% of the overall votes cast. However, the understanding that some authors (even one Italian political scientist writing on a UK blog) seem to have is that had someone cleared 40%, that alliance or party would have been assured of a majority of seats. That is incorrect. In fact, given the way the system is designed (more below), it is highly unlikely that an alliance with just over 40% could have won more than half the seats. Possible, but very unlikely (and we might say not significantly less likely had it won 39.99%). This “40%” idea floating around is just totally wrong.

The presentation of the overall result leads me to a second key point: the outcome is not terribly disproportional. However, it would be wrong to conclude from this observation that the electoral system was “proportional”. It is not designed to be such, and the disproportional elements of the design have significant consequences that I shall explain.

In terms of the Gallagher index of disproportionality (D), the result, based on alliances, yields D=5.40%. That is slightly greater than the median for my set of over 900 elections, and somewhat less than the mean of the same set (4.9 and 7.1, respectively). It is very slightly greater than the mean for PR systems (4.6; median 3.8).

Thus, based on the outcome measure of disproportionality, the Italian system looks like a moderately disproportional variant of PR. however, it is not a PR system! We do not ordinarily classify electoral systems based on their outputs, but on their rules. By that common standard, the Italian system is not PR, it is mixed-member majoritarian (MMM). It consists of two components–one that is nominal and the other than is list. The nominal component is plurality rule in single-seat districts, while the list component is nationwide PR (for alliances or parties that clear the threshold). Crucially the list seats are not allocated in compensatory fashion, but in parallel; this is the feature that makes it MMM, not MMP.

Unusually for MMM, but not disqualifying it from that category, the list-PR component is a good deal larger than the nominal (plurality) component. The nominal component is only around 35% of the total. However, the lack of compensation means that any alliance (or party) that can win pluralities in a substantial number of single-seat districts (SSDs) will be over-represented even after adding on all those list-PR seats. And such over-representation is precisely what happened.

If we look at the 398 list-PR seats and their allocation to parties (and here I do mean parties), we see a substantially more proportional output than overall. The Gallagher index is D=3.93%. This is, as reported above, right near the mean and median for pure PR systems. Just as we would expect! And most of the disproportionality comes from parties below the threshold, not from disparities among the over-threshold alliances. Around 4% of the vote was cast for alliances (or individual parties) that did not qualify for any seats. Some other votes are lost due to a provision that sub-alliance parties that get under 1% of the vote also have their votes wasted. If a party is between 1% and 3%, its votes are still credited to the alliance of which it is a part, even though such a party is barred from winning any seats in the list component.

Focusing on some of the major parties, we see that the major CDX partners were not much over-represented in the list component of the system: Lega has 17.4% of the vote and 73 seats (18.3%) for an advantage ratio (%seats/%votes) of A=1.05. Forza Italia has 14% of votes and 59 seats (14.8%) for A=1.06. The second largest alliance, the stand-alone party M5S has 32.7% of votes and 33.7% of seats for A=1.03. In the CSX, the PD is more over-represented, with 18.7% of the votes but 91 seats (22.9%), and A=1.22. I suppose this is because its partners mostly failed to qualify for seats, but the votes still get credited to the alliance (as explained above), and hence to the PD.

We see from these results that, with the partial exception of the PD, the parties are represented quite proportionally in the list-PR component of the MMM system. What gets us from D=3.93% in the list component to D=5.40% overall is precisely the fact that the nominal tier of SSDs exists and favored, as one would expect, the larger alliances. The following tables shows just how dramatic this was.

Nominal result
seats % seats % votes
Centrodestra 109 49.1 37.0
Centrosinistra 24 10.8 22.8
M5S 89 40.1 32.7
total 222 100.0

The vote percentages are the same as those shown in the first table, because there is no ticket-splitting between the two components. Each alliance presents a single candidate in each district, and the voter can vote for either a party list or an alliance candidate. Votes for a list are attributed to the candidate, and a vote for the candidate is proportionally divided among the lists in the alliance that nominated the candidate (with the previously noted caveat about parties whose national vote is in the 1-3% range).

The seats in the nominal component are distributed quite disproportionally: the largest alliance, CDX has nearly half of them, despite only 37% of the vote. The M5S is also over-represented, with about 40% of seats on just under a third of the votes. As is typical under SSDs with plurality, the third-place finisher, CSX, is significantly underrepresented, with a percentage of seats not even half its votes percentage.

Also as is typical, candidates often won their district seats on vote percentages in the low 40s or less. The mean district winner had 43.9% of the vote. For the M5S the mean was 45.4%, while for CDX it was 43.7%. As might be expected for a third force winning some seats, the CSX tended to benefit most of all from fragmented competition, with its mean winner having 39.2%. The lowest percentage for any SSD winner was 24.1% (M5S in Valle d’Aosta). Four winners had over 60%, including two from M5S and two from CSX; the maximum was 65% (CSX in Trentino-Alto Adige/Südtirol).

The media focus is on the “inconclusive” result, and many are blaming “PR” and the failure of any party (or alliance) to reach 40% of the votes for the lack of a “clear” verdict. However, we have seen here that the system is not proportional, even if the overall level of disproportionality is modest. If the entire system had been based on the allocation used in the list-PR component, we would be looking at CDX with 38.7% of seats, M5S with 33.7%, and CSX with 23.6%. However, given the actual MMM system, and its inherent disproportionality, the result is CDX 42.5%, M5S 35.9%, and CSX 19.1%. The non-PR aspect of the system thus has made a difference to the seat balance. The bargaining context would be difficult either way, but the two largest alliances are both boosted somewhat by features of the electoral system. Had the leader reached 40%, it would have netted only slightly more seats, surely still short of a majority, because–contrary to some claims circulating–there was no guarantee of a seat majority for reaching any given vote percentage. To form a majority of parliament, an alliance would have to win a very large percentage of the single-seat districts as well as some substantial percentage of the votes (probably a good deal higher than 40%). That the outcome is “inconclusive” says more about the divisions of the Italian electorate than it does about the supposed problems of a proportional system that Italy doesn’t actually have.

Thank you to Gianluca Passrrelli for sharing the link from which I based my calculations and for his excellent chapter in the forthcoming Oxford Handbook of Electoral Systems.