The Great Stanford Buffy Population Equilibrium Study 317
Suture writes "A PhD candidate in ecology at Stanford University has done an ecological analysis of humans and vampires in Sunnydale, the home of Buffy the Vampire Slayer.
He took some initial assumptions on rates of population growth, vampire feeding, etc and plugged them into a differential equations model. What he got was an equilibrium human population of 36,346, and an vampire population of around 18, and furthermore the equilibrium is stable. His conclusion was that even though the show's designers are not ecologists, they managed to come up with ideas that actually made ecological sense.
Scroll to the bottom of the page to see a pretty cool spiral graph of human population vs vampire population."
Wow (Score:5, Funny)
Re:Wow (Score:4, Funny)
Re:Wow (Score:5, Funny)
Chemical (in)stability of Dilitium cyrstals (Score:2)
I thought "Wow, this is really funny", and then I was somewhat disapointed that the cyrstals couldn't work. Kinda like being told there was no Santa
Re:Wow (Score:2)
The moose would go into orbit. I know that now.
SW (Score:5, Funny)
Re:SW (Score:2, Interesting)
- philipd
Re:SW (Score:2)
How can I look this up? I would actually read it.
Re:SW (Score:2)
I think the real question is: (Score:5, Funny)
Re:I think the real question is: (Score:2)
It appears not, from TVTome [tvtome.com]
Spike Quote (Score:3, Funny)
Spike: And I should do what with my spare time? Sit at home knitting cunning sweater sets? Ep: Out of My Mind
Just in case people think I have way too much time on my hands, I did a Google search and this [angelfire.com] was at the top of the list.
I must say the spiral curve the guy did looks a bit hallucinogenic... maybe he was on something?
Re:Spike Quote (Score:5, Funny)
There are better Spike quotes out there. Such as:
Spike: I like people. They're like Happy Meals with legs.
(And note, that is an on-topic quote with regards to the article.)
Hmm (Score:5, Interesting)
"And to be fair, I'll tell you that my first order guesses, while probably not too far off, were chosen at least partly to obtain a reasonable result on our first try."
Now THAT is my idea of effort!
Re:Hmm (Score:2)
Looks like a shoe in... (Score:2, Insightful)
But what about taking account for... (Score:2, Insightful)
Hmmmmmm..... (Score:5, Funny)
Which, since Sunnyvale is where the hellmouth is - it sort of all works out. In a strange, sort of demented way.
(I think I'll go watch the Buffy musical again. It's got class. It's got style. And until you burn up - it sticks with you for a while.)
It's obviously in jest! (Score:5, Insightful)
-- L.
Re:It's obviously in jest! (Score:4, Interesting)
Valid enough to be published and silence the critics? No way... far too little data do have that kind of certainty. Valid enough to get me an A+ on the project... yep. This was for a stats class, all I needed was to prove that I knew how to write a statistical report, not that I could collect solid data or pick a topic that meant anything to the world.
Maybe there was a serious reason for him to do the "study"... but I don't think it's gonna get published in any place with scientific credibility.
Re:It's obviously in jest! (Score:2)
What are you talking about?? It's on Slashdot!
Re:It's obviously in jest! (Score:2)
Re:It's obviously in jest! (Score:2)
But! all the best research is done when people have a personal itch to scratch. That's what makes this so engaging...
A good page... (Score:5, Interesting)
And, of course, you have to check out TV Tome's Buffy page [tvtome.com], with good reviews, show guide and spoilers...
Any other good ones?
Actually, (Score:2)
Re:Actually, (Score:2)
With an attitude like that you may want to think about picking a new handle. :)
Another stat; good writers do their homework (Score:4, Funny)
Maybe the writers did their research.
Successful shows usually have good writers who often do their homework.
Writers could even have first hand vampire experience!
You never know. Only a slayer can tell!
There's one problem with this paper... (Score:4, Insightful)
Anybody with half a brain would have moved out of that town long ago... and people ceratinly wouldn't be moving in.
Re:There's one problem with this paper... (Score:3, Informative)
Imagine a vampire grabbing someone from behind and sucking them till they pass out.
That's how they did it in Vampire:The Masquerade from White Wolf [white-wolf.com], furthermore, in that game, if a avampire licks the bite wound it closes quickly, hiding the evidence...clever...
Of course one may wonder how many Sunnydale vamps get a chance to feed before being staked...
Rabbits and Foxes (Score:2, Interesting)
I think the point (mentioned in the ed. comments) (Score:5, Interesting)
Why would it work out, what made these writers different than other writers? I think it's a plot driven element, and a reflection of the real causes of social attitudes. I'm willing to venture a guess that they (the writers) kept the number of vampires and incidents in the series low so that it would seem more likely people wouldn't realize that there were real vampires around in the fictional Buffy scenario. From this, we determine vampires could exist in stable equilibrium if this was the case. If the prey on the show knew about the predators in a larger sense, the equations wouldn't be so simple any longer, and the stable equilibrium would be lost. What we consider "under the radar" and thus unnoticed is a perfect niche for small, select groups of predators to operate within, in REAL life. So in conclusion, the writers are clearly not buffoons, and your neighboor IS a vampire.
QED.
Re:I think the point (mentioned in the ed. comment (Score:2)
I'm not sure that's fair to the writers and directors. The predator-prey/vampire-human problem is fairly fundamental to the internal realism of the show, and IMO the writers of Buffy took care to try and keep the internal realism of the show fairly high.
Re:I think the point (mentioned in the ed. comment (Score:2)
Re:I think the point (mentioned in the ed. comment (Score:4, Insightful)
And I mean really watched it, sat down and watched the two-hour roughly-in-order shots on FX at 7:00 EST?
It's quite possibly the best-written low-budget hot chick show ever. Every inconsistency is either explained away or simply believable, given a simple modicum of suspension_of_disbelief.
Contrast this with, oh, Star Trek or Andromeda or Farscape, or the other common "sci fi" series setups, and you'll see the "internal realism" he was talking about.
Re:I think the point (mentioned in the ed. comment (Score:2)
Re:I think the point (mentioned in the ed. comment (Score:4, Insightful)
It takes a handful of episodes to 'get it'. It really is phenominally deeply well written. It also has self parodying fluff on top that is, at it's best, witty banter that rivals Oscar Wilde. Once you're in, you realize that these are really well written episodes. As you watch, you realize the season has a structure. As you watch seasons, you realize that the seasons have a pattern and the entire show, has a structure where things from season three play out in season six, and themes that are treated one way in season two (when they are in high school) are revisited and reexamined in season six (when she's trying to raise her little sister after her mother dies).
It does parody itself, but it's a tongue in cheek, knowing parody when it does. Buffy will acknowledge in side comments about her wardrobe. In season five and six, when things get much more 'real' and very gritty, they still have their Rosencrantz and Guildenstern (and Johnathan), who lighten things up, but wind up with a similar end.
Good writing, surprisingly good acting (even Sarah Michelle Gellar, who I thought was a ditzy figurehead of the show until Season 5's 'The Body')... it's a great show. There's a reason some people say it's the best thing on television.
--
Evan
No! This is nuts! (Score:2)
One had a disease and died from that.
I think there were two others - people I didn't know. I went to a High School of about 2000 in Orlando, Fl.
If there was JUST ONE person at my high school whose neck was nearly ripped out and blood drained, it would have been a big deal - it would have seemed unreal.
I remember watching an episode of this show where the principal was eaten by a pack of werewolves, who themselves were students who were later killed.
And in the graduation episode, the mayor turned into a giant monster and destroyed the school.
Someone from the High School dies almost every episode. There is no way this is realistic . There is no way this accounts for a stable population - its B.S. Vampires aren't the only thing that kill in Sunnydale.
Of course, I must admire such a great work of BS.
A few more population genetics propositions... (Score:4, Insightful)
- Buffy's success at finding a mate versus others' successes (hers should be assumed to be higher, which would increase the incidence of vampire-killing traits in the population),
- the (Dubya) Bush administration's environmental policy, and whether increased pollution is more harmful to the living or undead, and
- If you introduce population genetics to "The WB Frog," will he suddenly change sex and have the potential to bear young (as do amphibians when populations are all female, i think)?
the plot thickens...
what a bunch of whiners (Score:5, Insightful)
One factor that he left out was the attrition of vampires due to recovered conscience or suicide, which might be high considering their lifestyle. There must be a percentage of vampires that accidentally get caught in sunlight as well, although those dim bulbs might be the kinds that get slayed eventually anyway. Other than that the numbers look good.
Re:what a bunch of whiners (Score:2)
As far as suicide goes... only Darla (when she gave birth to Connor) and the vampire in the first episode of Angel season 3 (who had a magical operation to remove his heart, making him unkillable for 24 hours before he self-destructed) have ever really "committed suicide". There might be others but I don't think they would have a significant impact on the population.
Article is a joke (Score:5, Funny)
Re:Article is a joke (Score:3, Funny)
Indeed! I shudder to think of the droves of vampires moving to communities which can't possibly support them!
vampire migration factor (Score:5, Funny)
It seems the author is forgetting about Angel --- Buffy spinoffs could make m, the rate of vampire migration negative. And should the exodus of VC's from Silicon Valley count as ex-migration of humans or of vampires?
Re:vampire migration factor (Score:2)
I almost never use them, but sometimes I hate not having mod points...
I was a dot-com burnout.
In other Buffy-esq News... (Score:3, Informative)
Re:In other Buffy-esq News... (Score:4, Informative)
And, uh, Angel is still on the air. WB keeps screwing up its air time (went from Tuesday to Monday to Sunday and it will be moving to Wednesday soon) apparently because they want the show to fail out of spite, but it's still running.
Re:In other Buffy-esq News... (Score:2)
Re:In other Buffy-esq News... (Score:2)
Some People are just obsessed! (Score:4, Funny)
Oh, shit, wait, I didn't mean.... damn.
Firefly on tonight (Score:4, Informative)
For those of you who don't know, Joss Whedon, the creator of Buffy the Vampire Slayer, also has another genre show called Firefly.
I just watched the latest episode (War Stories) tonight, and believe me when I tell you that if it hasn't aired in your timezone yet, you do not want to miss it. This one episode has got more character development, action (and I mean combat) and humor (and none of that slapstick stuff) than the entire season of Enterprise so far.
Again, if you like Buffy (and even if you don't), don't miss tonight's Firefly. This one deserves high ratings, but that can only happen if people know it's being aired. So now you know.
Re:Firefly on tonight (Score:2)
Re:Firefly on tonight (Score:3, Insightful)
I've never been a big Buffy fan, but I have watched a few shows, and I've been impressed with the quality of the writing and the chemistry between the actors.
Firefly has the same kind of humor that Buffy does. Joss seems to like poking fun at cliches (although this time, the good guys let the bad guy go instead of kicking him into an engine.) The acting is good. The characters are realistic and each have their own reasons for being on the ship.
People have put Firefly down as a ripoff of Gene Rodenberry's 'Wagontrain to the Stars' idea, but from what I have seen, they have taken the idea literally and created a frontier that is more low tech and 'old west' in feel than anything in the Star Trek universe.
As for MIB II, I wish I had a neuralyzer so I could wipe the memory from my mind.
Oh yeah, and to everyone who didn't think the human-vampire ecology article was funny, or who thought it was a waste of time: good lord! you need a new humor chip upgrade.
I hate buffy.. (Score:2)
The show has great characters, great writing, some of the best villians, great action sequences, surprise tweists and really cool effects.
But in tonight episode, that had all that AND a lesbian encounter.
in short...
Best...show...ever.
Smile, it was funny.
Re:Firefly on tonight (Score:2, Funny)
No problem; here's how you do it:
Do you have a Neilsen box on your TV?
Yes
No
An NDA prevents me from answering that
I don't have TV, you insensitive clod
Cowboy Neal is on my TV
meanwhile, in another universe... (Score:5, Funny)
The Camarilla Princes are going to be really pissed when they find out they've been running at ( 1 / 10^5 ) / ( 18 / 36346 ) of their optimal capacity.
We Sabbat knew better, of course.
Cousin Ellen
Re:meanwhile, in another universe... (Score:2)
The Princes are aware they could sustain a greater population level of Kindred, but seek to hide their presence by keeping their numbers few. The real trick in a Camarilla vampire/human ecology is for the vampires to keep the humans unaware of their presence.
The Sabbat believe they could live openly, and control their human herds through liberal application of Disciplines. The Camarilla know this would lead to another Dark Age of war and death, for if Buffy were to ever pierce the Masquerade, all Hellmouth would break lose.
This can't possibly be right (Score:3, Funny)
We need to calculate the buffy factor... (Score:3, Funny)
Re:We need to calculate the buffy factor... (Score:2)
only 2 so far.
dracula got close...
Re:We need to calculate the buffy factor... (Score:2)
Re:We need to calculate the buffy factor... (Score:2)
His numbers are way off !!! (Score:2, Funny)
Assuming an average of 3 Vamps dusted per episode, and there are, what, about 24 episodes per season? That's 72 per year, or 4 times the total vamp population !
Mind you, you could change your assumptions for Vampire 'birth rate' to have each vamp sire a new one on average every 3 months, and the sums would probably work out ok.
Guys chill out (Score:2)
Only 6 vamps dusted per year ???? (Score:3, Interesting)
The average is probably 3 per episode, or 72 per season.
You'd have to substantially increase the vampire 'birth rate' to maintain a population of 18 vamps.
If each vamp sired a new one every 3 months or so it should work.
Re:Only 6 vamps dusted per year ???? (Score:2)
Since I presume Brian Thomas will read this.... (Score:4, Insightful)
Specifically -- you set up the derivatives very clearly. You make it clear what the overall results are going to be, and it is intuitive why. Why not show casual mathematicians like me the equations as you've worked them out on a step-by-step basis? They might seem simple to you, but they aren't to other people less familiar with differential equations....
Simple telling us what the equilibrium outcome is isn't as powerful as actually showing us the mathetical logic that leads us to that outcome on a step-by-step basis. I mean, I've done some economics, game theory, etc., but I still get lost reading your write-up.
If you really want to spend your career helping non-professionals understand the merits of formal modelling, help us out by not cutting corners on the actual mathematical proofs.
Re:Since I presume Brian Thomas will read this.... (Score:2, Informative)
The concept in a nutshell is that you take the two differential equations (Hdot,Vdot), set them equal to zero, and solve for the roots (H,V) that solve that system of equations. This works since you're interested in equilibria, i.e., points where the state does not change if you are at that particular point. If the velocity (STATEdot) is zero, it's obviously not changing.
To find the stability of each equilibrium, you examine the eigenvalues of the Jacobian of the system of differential equations. In the case which Brian discusses, each of the two eigenvalues would be of equal negative real part, and opposite nonzero imaginary part.
The only issue I have is that the system he is talking about is discrete (you can't have portions of people, and I'm guessing you can't have portions of vampires, though not being a Buffy fan, the lore may prove to state otherwise). With a number of vampires not much larger than the resolution of the vampire population state, the effect is likely to be nontrivial. I wonder what analysis of the discrete-state system would reveal.
Re:Since I presume Brian Thomas will read this.... (Score:2)
Re:Since I presume Brian Thomas will read this.... (Score:2)
Traditional Vampires (Score:2)
hrm @ the graph (Score:3, Funny)
*cough*.
well, yeah, you know.
Apocalypse as Intermediate Disturbance (Score:2, Interesting)
In this case, does apocalypse help regulate demon diversity as a sort of intermediate disturbance?
Also, kudos to ecology geekiness on
But.... (Score:2)
The equation between vampires and humans is interesting; but why ignore these other elements? (unless ofcourse this is a BUFFY fan analysis)
Sunnydale is much too easy (Score:3, Interesting)
There must be someone out there prepared to sponsor a Chair of Imaginary Population Studies and give this guy a job.
Total bollocks (Score:2)
Rabbits and foxes are not a good model since humans can and would leave the area as fast as they could. Even Willow wouldn't be enough to keep me around that bloodbath. Probably. Well...
TWW
Re:A Few Too many assumptions (Score:3, Funny)
A clandistine manage-a-trois our parents were thankfully unaware of? Bring on the
Re:A Few Too many assumptions (Score:2)
Michael
Re:Right... (Score:2, Funny)
Re:Right... (Score:2)
He photoshopped what? (Score:2)
Oh wait, you're not replying to the article are you.
OMG!!!!
Ok, this is going to get me branded a geek... (Score:2, Informative)
Of course, it might be that vamps require a soul to be fertile...
Re:Ok, this is going to get me branded a geek... (Score:2, Informative)
Re:Ok, this is going to get me branded a geek... (Score:5, Funny)
Well, yeah, I am a geek and a think too much- so sue me.
graspee
but (Score:2)
Re:Ok, this is going to get me branded a geek... (Score:2)
Re:What A Waste (Score:5, Insightful)
And in that supposed "free time" that Ph.D. students don't have, they'd never think about writing a mock paper using some differential equations that any second-year science student would understand because it amuses them.
For Christ's sake, the guy watches Buffy (Yes, Ph.D. students at Universities do other things besides do research and contribute to "political, social, and scientific development;" sometimes they even watch television!) and ran some variables through a model, wrote up a silly paper, and published it on his web page.
It's funny. Laugh.
Re:What A Waste (Score:2)
yeah, but Buffy?
It's funny. Laugh.
Re:What A Waste (Score:2)
Normally I'm a big fan, but really this seems unrealistically harsh. This entire thing couldn't have taken him more than a couple hours, and I'm sure as a sum total many many more hours are wasted by PhD students WATCHING buffy than presenting this. And probably orders of magnitude more than that are spent reading and posting to slashdot! (to say nothing of the work force
Re:What A Waste (Score:2)
Re:What A Waste (Score:2)
That stopped being true the moment College became a natural extention of ones learning and not for the professionals. Let's face it, so many people that have a degree would have been better off just entering the work force. Their degree does nothing for them, they're still low paid and they're 4 years behind practical experience.
Re: (Score:2)
Re:Excuse me? (Score:5, Informative)
Did you think, at all, before you wrote that? What do you think "equilibrium" means?
In dynamics, an equilibrium point is a steady-state of the system: that is, a set of values for the system such that, if the system is set to that point, the system will no longer change.
What do you think "stable" means?
In this context, "stable" means that, if you move the system slightly away from the equilibrium point, it will naturally move back to the equilibrium point. On the other hand, an unstable system, when perturbed from the equilibrium point, will not return to that point.
So, for example, the point of an inverted cone is an unstable equilibrium point. I can balance a ball on it, and it won't go anywhere; but move it ever-so-slightly, and it will fall down. On the other hand, the bottom of a conical pit is stable; move the ball anywhere up from the bottom, and it will just fall back down again.
These are basic definitions for this sort of mathematics. It probably wouldn't hurt, under the circumstances, to assume the author knows what's he talking about, you know.
Re:Excuse me? (Score:2, Informative)
A stable equilibrium is one that's robust to little nudges - it tends to go back towards the equilibrium point all by itself.
An unstable equilibrium is more like a ball on top of a hill. It's in equilibrium because it isn't going anywhere; but the equilibrium is unstable because a small push will destroy this particular equilibrium permanently.
That's the concept underlying the big spiral graph, by the way.
Re:Or how about this one... (Score:3, Insightful)
J.
This should be put in the Slashdot faq temporarily (Score:2, Informative)
In any case, this was picked up by Family Guy and The Simpsons recently, involving a russian language feature of one of those navigation computers in a car. I assume this is where the Slashbots picked it up. Trolls use it at the drop of a hat now, without thought.
I, on the other hand, am genuinely trying.
PS - The believe whole "insensitive clod" thing has an origin on British TV of yesteryear, and then later in crusty manpages and fortune files. It surfaces on slashdot because we're into that sort of crap. We spell demon with an æ (aelig) too!
Re:Or how about this one... (Score:2)
I imagine the forums goons over at Fark [fark.com] and Something Awful [somethingawful.com] have a lot to do with this particular cliche.
Re:You can get a Ph.D for that?! (Score:3, Informative)
To quote a famous movie: (Score:2)
Re:No no, allow /me/ (Score:2)
So I guess your real problem is that Slashdot doesnt have "Fucking Moron" listed as a reason. [I do protest this, I sorely wish for a "Fucking Moron" option, as I have been forced to mod many non-trollic posts as 'troll' simply because it is the closest option availible]
Re:another boring slashdot story (Score:2)
Another No-name company adopts linux
Intel releases faster processors
Microsoft products have bugs
New software released
DMCA used in another crappy suit
Another stupid patent granted
Come on. If Slashdot was meant to be exciting, it wouldn't be news for nerds.
Note: The above is not flamebait or trolling, it was self depreciating humor.