Last week on Survivor, tacked onto the end of another disappointing episode in a season full of unpleasant people, Jeff Probst announced that the next cycle is going to be an all-star season, and that the twist this time is that the fans will decide the cast. Within limits, of course! While CBS went so far as to tweak the fine print to guarantee that fans’ votes alone would determine the Season 31 cast, it has narrowed the field quite a bit. Viewers will vote 20 players in from a pool of 32 possible returnees. The criteria are that the contestants can’t have won the game before, nor can they have already come back for an all-star season. Because Probst has wrapped this returning cast around the vague theme of “second chances,” there are quite a few names on the list who didn’t live up to their potential and won’t be super familiar to even the more dedicated Survivor viewers. Probst and the producers obviously have their favorites (pretty brunettes and grizzled old lions, from the looks of it), and that’s only natural. But there should be a better way to select the most deserving second-chancers than simply the whims of Probst and a voting public with limited options. After 29 and a half seasons, don’t we have the raw data to compile the stats necessary to cast next season with only the most deserving gamers inside or outside CBS’s pool of 32?

That’s what I’m about to find out.

I decided to stick with the “no previous winners, no one who’s returned before” rule. It’s a good one, it allows for a more interesting season, and, at some point, measuring players who have played three, four, or five times against those who have only played once gets uninteresting and unfair.

First task: settling on the criteria. What makes someone good at Survivor? The first column on my spreadsheet was “Individual Challenge Wins.” Obviously. It’s the clearest indicator of dominance in the game. “Team Challenge Wins” comes second, but it’s valued less, for obvious reasons. But Survivor is a game, not a sport. It takes more than just athletic and puzzle prowess to succeed. Figuring out how to quantify the strategy part of the game was tricky, because there are lots of ways to play well. Making big moves and engineering blind sides gets you the glory, but it makes you too big of a target. Using big targets as a shield and opportunistically voting with the majority gets you far, but it risks losing the respect of the jury. Ultimately, I decided that the only real, objective measure of good strategy in the game is a vote at tribal council. Did your vote send someone home or was it in vain?

The problem: Judging merely by gameplay doesn’t work. Bad or boring players make it to the end all the time, and while I fully support their right to point at the scoreboard when they face the jury, it doesn’t mean they played an all-star-level game. There’s something to be said for panache. Style points. Being good TV. Survivor is a game, but it’s also a TV show, and entertainment value counts for a lot. Again, though, how do we express this in ones and zeros? My solution was twofold: (1) a tally of appearances in YouTube “Best of Survivor” videos. I entered the search term “Survivor Best Moments” and added up appearances in all the videos that made the first page of that search. And (2) a tally of appearances in the “next time on … Survivor” episode previews. If CBS decided you were important enough to feature as a lure for viewers, who am I to argue? Does this mean I watched every preview at the end of every episode of 29 seasons’ worth of Survivor? Yes it does. Probst narrates my dreams now. Most of them involve him yelling at me to pick it up!

One final wrinkle: Not every season of Survivor is created equal. It seems logical enough that players who excelled on good seasons should get more points than players who excelled on bad seasons. So I went to my two most-trusted sources on the subject of ranking Survivor seasons: EW’s Dalton Ross, who’s basically Probst’s wartime consigliere and who ranked all 29 seasons earlier this year; and, uh, me. I published a ranked list for The Atlantic a year ago. I averaged those lists and arrived at a factor that I applied to every player’s game score.

The results were … interesting. It’s not at all the group I would have selected if I were just picking favorites. Some of my most pined-for returnees — Lindsey from Africa, Brian from Guatemala, Peih-Gee from China — either didn’t last long enough in the game or made too many wrong votes to score high enough. Still, these are the 20 former Survivors (remember: no winners; no previous returnees) that pure statistics have determined most deserving of a spot on a “second chances” season. Enjoy. Argue. It’s the Internet, you know what to do.

Terry Deitz

Survivor: Exile Island, Season 12

Total Score: 75.49

(Game Score: 49.49 / Best Moments Score: 5 / Episode Preview Score: 21)

Terry’s like Tom Westman from the Palau season, except without the Long Island accent or shark hunting or anything else that made Tom fun. Terry thoroughly dominated the immunity challenges in his season, which is pretty much the only reason he made it to third place, since he was surrounded by players like Cirie and Aras and Shane who wanted him out. Socially, he played the your-friend’s-judgy-dad card a lot, making him hard to really like. He’s eligible for Season 31, he’s 55 now, and he probably still takes the presidential physical fitness test every year, for fun.

Woo Hwang

Survivor: Cagayan, Season 28

Total Score: 69.68

(Game Score: 53.68 / Best Moments Score: 1 / Episode Preview Score: 15)

Woo’s presence so high on the list opens this process up to accusations that coattail-riding has been overvalued. After all, Tony ran a zig-zag pattern all over this season like a prison escapee trying to avoid a searchlight, and Woo just kind of … voted with him. And when Woo had the opportunity to vote Tony out at the final three and take obvious goat Kass to the finals, he didn’t. But the guy won a lot of challenges, he was all over the episode previews, and at the end of the day, he finished second on one of Survivor’s best-received seasons. And who’s to say Woo was so wrongheaded in his assumption that his jury might have found Tony too obnoxious to vote for?

Matthew von Ertfelda

Survivor: The Amazon, Season 6

Total Score: 67.39

(Game Score: 54.39 / Best Moments Score: 10 / Episode Preview Score: 3)

Matthew’s another runner-up who was mostly an enhancement vote for a more strategic mind, in this case Rob Cesternino. But Matthew was also weird as hell, just constantly doubling down on crazy-eyed intensity every week. Alliances formed and shifted and double-crossed each other, and Matthew just kept on sharpening that machete.

https://www.youtube.com/watch?v=9JFXUvkIXms

Ian Rosenberger

Survivor: Palau, Season 10

Total Score: 65.84

(Game Score: 48.84 / Best Moments Score: 5 / Episode Preview Score: 12)

Out of all the players who have ever been on Survivor, Ian is the one I have most wanted to see come back and win the game. He was basically Tom Westman’s right hand all season, letting Tom be the shark-hunting hero while he went about the sometimes dirty business of voting out their allies. That lasted until the end of the game, when Ian made a move against Tom, at which point Tom spent the entirety of an immunity challenge (one of those long endurance ones) laying on the worst disappointed-dad guilt trip you have ever seen. It was bad enough that Ian not only apologized but voluntarily lost the challenge, which he knew meant his certain elimination from the game. Every season since, I’ve hoped for Ian to return, hardened by life and with an unquenchable thirst for revenge against dads.

Kass McQuillen

Survivor: Cagayan, Season 28

Total Score: 65.38

(Game Score: 35.38 / Best Moments Score: 15 / Episode Preview Score: 15)

Was Kass good at playing Survivor? I’m honestly asking. She made the game delightfully unpredictable, and she was a lot of fun to watch, but did her “Chaos Kass” style of alliance-hopping count as smart strategy? You could argue it should have taken her to the finals, if Woo had made the smart move and ditched Tony for her, where she would have had a decent jury argument that she’d made more and bigger moves. But if she comes back for Season 31 (she’s eligible, and I’d be shocked if she doesn’t), she’s going to have a hard time convincing anyone to trust her again.

Rafe Judkins

Survivor: Guatemala, Season 11

Total Score: 65.30

(Game Score: 51.30 / Best Moments Score: 5 / Episode Preview Score: 9)

There was an early challenge in Survivor: Guatemala in which Rafe was tasked with climbing a rope ladder out of a pool, and he could barely manage it. That kind of set his reputation on the show, which is too bad, because his strategic game was strong (he was at the heart of all the post-merger blind sides), he ended up winning four immunity challenges, and who even climbs a rope ladder anyway?

Jaison Robinson

Survivor: Samoa, Season 19

Total Score: 64.24

(Game Score: 43.24 / Best Moments Score: 5 / Episode Preview Score: 16)

You’d think sharing a season with Russell Hantz would have meant there was no oxygen available to maintain normal life functions, much less get any attention on TV, but looking back, Jaison was all over this season, if only as a perpetual “maybe this is the week somebody figures out Russell’s mess and sends him packing” guy. Jaison was a smart player, though, and if he’d have eked out one or two more immunities, he’d have probably won.

Dre “Dreamz” Herd

Survivor: Fiji, Season 14

Total Score: 63.76

(Game Score: 32.76 / Best Moments Score: 5 / Episode Preview Score: 26)

Dreamz talked about Dreamz a lot. An inspirational figure in his own mind, in reality Dreamz was a decent player whose loose lips sank a lot of alliances’ ships. He made it to the end, though, where he was on the receiving end of a lot of sanctimonious B.S. You know the kind, about playing with integrity. The integrity levels among Survivor jurors are uncommonly high; Captain America could have gone to Fiji and mined enough integrity from the Season 14 jury to forge a second shield.

Stephen Fishbach

Survivor: Tocantins, Season 18

Total Score: 63.65

(Game Score: 43.65 / Best Moments Score: 6 / Episode Preview Score: 14)

Stephen was a driving force behind a tiny three-person alliance that managed to make it to the very end, somehow besting the strategic genius of Coach in the process. Stephen did everything he needed to do to make it in front of the jury, at which point he received zero votes as J.T. won. All things being equal — and Stephen and J.T. made pretty much all the same moves \ — people will almost always give a million dollars to a handsome Southern charmer over a brainy city boy, because America is drunk on archetypes and Dukes of Hazzard reruns.

Twila Tanner

Survivor: Vanuatu, Season 9

Total Score: 61.28

(Game Score: 38.28 / Best Moments Score: 10 / Episode Preview Score: 13)

In many ways, Twila was a perfect Survivor player. A hard worker, she performed well in team challenges and was willing to opportunistically switch alliances when necessary. She was on the right side of every vote she participated in. She’s a blunt older lady to whom nobody wanted to give a million dollars, making her the perfect woman to sit next to at the end. It’s too bad people have feelings, because Twila easily played the best game in her season.

Kelly Wiglesworth

CBS

Survivor: Borneo, Season 1

Total Score: 60.75

(Game Score: 53.75 / Best Moments Score: 0 / Episode Preview Score: 7)

First of all, it’s bunk that Kelly gets no points for best moments, since she’s on the receiving end of the best moment in all of Survivor, as Sue Hawk curses her to forever dwell with the snakes and rats of Pulau Tiga. That’s where we were left to assume Kelly stayed, since she was never asked back for an all-star season despite being the show’s first runner-up, its first immunity beast, and possibly losing only because juror Greg Buis asked Kelly and Richard to pick a number between one and 10.

NaOnka Mixon

Survivor: Nicaragua, Season 21

Total Score: 59.25

(Game Score: 20.25 / Best Moments Score: 15 / Episode Preview Score: 24)

OK, here’s where this process might start catching some heat. The one thing NaOnka is known for in Survivor lore is quitting the game in seventh place with mere days remaining. And she had a hidden immunity idol! But she made for gangbusters TV before she left, and it’s easy to forget that she had a strategic mind beyond all the fire-starting (figuratively speaking). Just know that if you feel, on principle, that quitters shouldn’t be asked back, the 11th-place woman on this list was Katie Gallagher, who recently celebrated her 10th anniversary of doing absolutely nothing on Survivor: Palau.

Burton Roberts

Survivor: Pearl Islands, Season 7

Total Score: 57.94

(Game Score: 42.94 / Best Moments Score: 0 / Episode Preview Score: 15)

Probst isn’t shy of saying that Season 7’s “Outcast Tribe” twist, where the first six ousted contestants competed for the chance to reenter the game, was a regrettable misfire. (Weird, because he never mentions how Redemption Island was the exact same thing.) That probably explains why Burton, who fits the young, athletic, Type-A mode that is Probst’s Platonic ideal, has never been asked back. He was a hugely influential player in his season, though. He even took out Rupert, which admittedly seemed like a bigger accomplishment back before we found out Rupert is very bad at the game of Survivor.

Neleh Dennis

Survivor: Marquesas, Season 4

Total Score: 56.86

(Game Score: 36.86 / Best Moments Score: 8 / Episode Preview Score: 12)

Marquesas gets a bit of a bum rap, mostly because its winner, Vecepia, didn’t have a very strong narrative. She just kind of weathered enough tribal councils to stay standing at the end, and not even in the fun, combative way that Sandra Diaz-Twine did (twice). As runner-up, Neleh arguably played the stronger strategic game. She was smart enough to flip on her original alliance the second it showed how low she was on its totem pole. And I will go to my grave believing she purposefully psyched Kathy out at the final immunity challenge by telling Kathy that her blouse wasn’t covering her up.

Ciera Eastin

Survivor: Blood vs. Water, Season 27

Total Score: 55.52

(Game Score: 26.52 / Best Moments Score: 20 / Episode Preview Score: 9)

Ciera will show up on every Survivor clip reel until the end of time simply for doing the producers a solid and being the only player in two Blood vs. Water seasons to vote out her own loved one. Ciera’s a great choice to come back for Season 31, as she handled the learning curve and had really become quite the gamer by the end of her season.

Taj Johnson-George

Survivor: Tocantins, Season 18

Total Score: 55.37

(Game Score: 20.37 / Best Moments Score: 15 / Episode Preview Score: 20)

Taj’s game score should probably be higher; she just had an odd habit of throwing away votes when she didn’t need to. Otherwise, Taj was a great strategic player, great at building alliances, and preeeetty good at breaking those alliances when needed. She was also among the most purely likable characters the show ever produced, and it is crazy it didn’t include her among the candidates for this coming season.

Chelsea Meissner

Survivor: One World, Season 24

Total Score: 55.07

(Game Score: 38.07 / Best Moments Score: 5 / Episode Preview Score: 12)

Nobody really liked the One World season, but everybody seems to agree that winner Kim Spradlin played a flawless game. But if Kim had been any less likable, we might well be talking about how winner Chelsea Meissner played a flawless game. Chelsea made all the same moves Kim did, and she kept Kim out front as a more attractive blind-side option, too, which is the really smart play. But when that blind side never happens, you get stuck sitting next to a more outwardly dominant player at the end, and you lose. Chelsea, by the way, was rumored to be among those eligible for the Season 31 vote but cut at the last minute, because like I said, nobody liked One World.

Crystal Cox

Survivor: Gabon, Season 17

Total Score: 54.24

(Game Score: 26.24 / Best Moments Score: 21 / Episode Preview Score: 7)

Gabon was probably the last season with as many awful and unpleasant personalities as the one that’s currently airing. Which is why it was nice that Crystal was around to roll her eyes at those people and holler at them during voting sessions. A former Olympic athlete, Crystal turned out to be underwhelming as a physical threat, but she had enough moves to wind her way to a sixth-place finish.

Spencer Bledsoe

Survivor: Cagayan, Season 28

Total Score: 54.16

(Game Score: 34.16 / Best Moments Score: 5 / Episode Preview Score: 15)

In real life, Spencer is going to be way more of a lock for Season 31 than he was on this list, where he barely edged out Albert from South Pacific for the 10th and final male slot. Spencer’s biggest problem, score-wise, is that he often wound up either out of the loop or spearheading quixotic attempts to oust Tony when it came to voting. In 12 tribal councils, Spencer was outvoted six times. In Survivor history, only one player has ever cast more wrong votes. But Spencer was also a strategic perpetual-motion machine, constantly looking for the angle that might get him ahead. He’ll be brought back to see if he can finally find the right angle.

Lisa Whelchel

Survivor: Philippines, Season 25

Total Score: 52.76

(Game Score: 23.76 / Best Moments Score: 5 / Episode Preview Score: 24)

Our erstwhile Blair from The Facts of Life played the game with a bunch of kids who had never seen The Facts of Life, which was probably more of a blessing (albeit an incredibly depressing one) than a curse, considering it kept her from becoming a target for no reason. Lisa was a ton of fun to watch, the rare player whose self-professed morality made her more compelling. She wasn’t sanctimonious, just principled, and you could tell she wanted to play as strategic a game as she possibly could without crossing whatever lines she’d drawn for herself. And she finished second! Maybe that’s as good as you can do without crossing those lines. We won’t find out next year, as Lisa isn’t on the ballot.

♦♦♦

If you’re curious, the players who are eligible to return next season — just the contestants in CBS’s 32-player pool — who scored the highest were:

Men: Terry, Woo, Stephen, Spencer, Shane Powers (Exile Island), Troyzan Robertson (One World), Vytas Baskauskas (Blood vs. Water), Keith Nale (San Juan Del Sur), Brad Culpepper (Blood vs. Water), and Jeremy Collins (San Juan Del Sur).

Women: Kass, Kelly, Ciera, Sabrina Thompson (One World), Natalie Tenerelli (Redemption Island), Tasha Fox (Cagayan), Abi-Maria Gomes (Philippines), Peih-Gee Law (China), Kimmi Kappenberg (Australia), and Teresa Cooper (Africa).

Joe Reid (@joereid) is a writer living in Brooklyn who is fully aware of the cliché he embodies.