Growth
Special thanks to Elie Tanaka, Keith Devlin, Deven Patel, Chris Gole, James Raymo and Jessica Savage
EPISODE CREDITS: Reported by - Matt Kielty, Becca Bressler, Pat Walters, Sindhu Gnanasambandun, Annie McEwen, Simon Adlerwith help from - Rae MondoProduced by - Matt Kielty, Becca Bressler, Pat Walters, Sindhu Gnanasambandun, Annie McEwen, Simon AdlerSound design contributed by - Jeremy Bloomwith mixing help from - Jeremy BloomFact-checking by - Emily Krieger and Natalie Middletonand Edited by - Pat Walters
EPISODE CITATIONS:Audio:
“The Joy of Why,”(https://www.quantamagazine.org/tag/the-joy-of-why/) Steve Strogatz’s podcast.
Articles:
“The End of Children,”(https://zpr.io/WBdg6bi8xwnr) The New Yorker, by Gideon Lewis-Kraus
Books:
Finding Fibonacci (https://zpr.io/3EjviAttUFke) by Keith Devlin
Do Plants Know Math (https://zpr.io/bfbTZDJ8ehx5) by Chris Gole
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Transcript
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Oh, wait, you're listening.
Okay.
Door listening to Radio Lab.
Lab.
Radio Lab.
From
WN Weiss.
Okay, so we're going to begin with producer Matt Kilty.
Okay, Latzif.
Let me take you to the land of the midnight sun.
Whoa, is that Japan?
No.
No, rising sun is Japan.
Oh, the midnight sun's probably got to be Antarctica or something.
Alaska?
Alaska.
Oh, do you see the mountains all the way out there?
Those are snowy.
That's beautiful.
Specifically.
Jagged mountains kind of everywhere.
Palmer, Alaska, which is like an hour north of Anglo.
I've never heard of it.
Yeah, it's a little town where they host
every summer the Alaska State Fair.
Got a wallet?
I have a phone.
Okay.
Which is where I went last August with.
You know, I've never seen a corn dog that I don't like.
My childhood best friend, Mike Gladney.
So I'm pretty excited.
And Mike and I were from Minnesota, which has a really big state fair.
Alaska's.
It's like a small county fair.
It's a little bit smaller, but
it does have a lot of good food.
Oh, right there.
A lot of classics, but also
Alaska crab cakes.
A lot of great seafood.
Salmon quesip.
Yeah.
And then, of course, games, rides.
But
Latif.
Yeah.
This little fair does have something very, very,
very
big.
Which is the annual Great pumpkin way off.
Ooh, so this is like competition, like a state fair competition.
That's right.
A competition to see who can grow the biggest, heaviest pumpkin in the state, but also maybe in the world.
Okay.
Because in Alaska.
We grow the best pumpkins in Alaska.
We grow the biggest pumpkins around.
I know.
Why is that?
I think they put milk in them.
And they just water them with milk the whole time.
That's what I heard.
Mike and I talked to one of the workers, Kathy Liska.
This is my 31st year working in the crops department.
And I've seen maybe, I think, about 25 Guinness World Records.
Wait, pumpkin-specific.
No, no, no, all sorts of stuff.
Carrots, beets, cabbages.
What's Alaska, you know, what's the fair known for?
It's the giant vegetables.
Because in Alaska, the land of the midnight sun, plants can get a ton of sunlight.
And so essentially, you can grow these plants to like really, really big sizes.
There's a lot of growers all around the world that'll be keeping their eye out around here to see what's going on.
So.
Okay, wait, we should describe what we got.
We got it.
Mike, Kathy, me.
You call it a barn, farm.
It's an open-air arena, arena, yeah.
This is our ag building.
We're standing in the ag building.
Smells like not good in here.
And we are standing inside this like cattle pen.
This little fenced-in area.
We are surrounded by bleachers.
So here we are, center ring.
When out comes...
Where's the...
Oh, my God.
Oh, my God.
This huge...
Wow.
It's enormous.
It's gigantic.
It's gigantic.
Orange pumpkin.
It's intimidating.
Look, Andrew.
Kathy, is it okay if I touch the pumpkin?
And this pumpkin...
Do Do you feel the magic?
You're touching it too.
It's about the size of a Volkswagen beetle.
Wow.
It's got like a heartbeat.
Well, it does actually wait.
It's alive.
It's just so big.
Except it's like lumpy and like kind of blobby.
Like job of the hut, kind of.
Yeah.
Could you and Mike have fit in the pumpkin?
We could have crawled inside the pumpkin and held each other.
Weird.
That's 98 days old right there, that pumpkin.
So the pumpkin belongs to this guy, Dale Marshall of Anchorage.
Yeah, I'm about sick of that thing, tell you the truth, you know.
He's a seasoned grower.
Are Are you pleased with your pumpkin this year?
Oh, yeah, just getting one here.
It's half the battle, you know.
Like, when I see something this big, I'm like, this is frightening.
I like it.
I like the color.
You know how long it took me to paint all those little spots on there?
And while we're talking...
Okay, oh, oh, they're putting a thing.
Dale rushes over to his pumpkin.
Something's happening.
Here we go.
Here we go.
And basically, Michael, get over here, Mike.
Mike and I get in position.
And then we watch them as they push this pumpkin so it's underneath this crane.
And everybody looks like they're excited, they're anticipating.
And dangling from the crane, bated breath are these straps.
Everyone's circling.
Okay, Dale's getting the straps ready.
Dale takes the straps from the crane, wraps them down around the pumpkin.
Pumpkin appears to be strapped in there, securing the rope, ties it all together with a rope.
That's a curve rocket.
And then
you could hear a pin drop in here.
The crane begins.
The straps are tightening to lift the pumpkin.
Here we go.
It's up.
It's up off the pallet.
If it's off the pallet.
Up into the air, so it's dangling like two feet off the ground.
And then.
Jody, careful, Jody.
Yep.
A volunteer named Jodi gets on her back, climbs underneath this pumpkin.
So it's just dangling above her, and she inspects the pumpkin for like any holes, any tampering.
All right.
She gives a thumbs up.
Jodi is a wild woman.
And then...
Okay, all right.
They're transporting it over to the scale.
The crane begins to lower the pumpkin onto this huge metal scale.
Okay, all right.
They're taking the straps off and the rope.
All of it's coming off.
Wow.
Okay.
It's fully on the scale.
Dale steps back from his pumpkin.
It's on the scale.
It's being weighed.
Okay.
And then
the moment of truth.
All right, here we are.
Oh my God.
2,000 pounds.
Oh my God.
Oh my God.
First place,
grand prize-winning 2,035-pound pumpkin.
Oh my god.
Oh my god.
To put that into perspective,
that is about eight to ten panda bears.
Okay.
Just to give you a sense of the weight out of pandas.
Anyway, high fives all around for Dale Dale's sake.
Dale's got his arms in the air.
He's running around his pumpkin.
Dale, how you feeling?
Wow, I'm ecstatic.
That's about 150 pounds more than I thought I was going to get.
And then pretty quickly.
Moving it, we're moving it.
We're moving it.
I'm out of here.
I'm out of here.
The local news crews surrounded Dale.
He gets a ribbon, $1,000.
And then
that's pretty much it.
Okay.
Yeah, that's kind of everything.
Huh.
And was this a record-setting pumpkin then?
No.
Actually, it didn't even beat Dale's previous pumpkin record in the state.
But
it was a good pumpkin, first place pumpkin.
But then, like, what happens to the pumpkin afterwards?
Well, Dale typically takes his home.
He says his grandkids like to play on it.
And, or if you don't do that, you can donate it to the Alaska Zoo or the Wildlife Conservation Center where they will feed it to bears.
Bears?
Yeah, grizzly bears.
That feels like an Alaska punchline joke that you would make up, right?
No, it can't feed bears.
It is bears.
Because it's not fit for human consumption?
Or is like, could you eat these?
Yeah, yeah, you can eat them.
I don't think they taste very good the bigger they get.
They're not being grown for flavor.
It's just so hard to imagine the point of this.
What do you mean?
Like, what are we, what,
what are we doing?
What are we doing here?
Well, I mean,
for the growers, I think it's just like, it's like pushing the limits.
Like, just you're trying to grow something really stronger, faster, bigger, better.
Yeah, exactly.
But I think for us
to be there like if you average it out dale's pumpkin grew 20 pounds a day and to just come
and look upon that i think it's cray cray to see something that's just so incomprehensibly big i think it's crazy how big it is it just stirs up look how big that thing is this real sense it's gorgeous i think it's beautiful really of awe i do because it's so big i mean where else do you see something like that because seeing something like that just sort of makes you think about the fact that everything
has this blueprint for growth, for how it's supposed to grow, for what it's supposed to grow into.
And yet, here you are confronted by something that seemingly doesn't fit that blueprint
at all.
And that is what we're doing there, Latif.
Coming together to feel a little bit of joy, a little bit of terror, brought on
by an enormous pumpkin.
Okay.
All right.
Sure.
All right.
This is Radio Lab.
I'm Lulu Miller.
I'm Lathafnaser.
And today we are looking at growth,
which is actually an episode we started working on when you were off growing a person.
Yeah, actually my belly was just like that pumpkin.
It was like
two ties my toes or tie my shoes.
And then the baby came out and she has already doubled in just a few months.
She's already doubled in size.
But we have more.
This is not an hour about pumpkins.
As much as I know you would have wanted that, we have three different stories about growth.
Growth that happens in places you'd never expect.
Growth that follows a pattern that seems woven into the universe itself.
And even a growth that has taken over the whole planet and, for better or worse, the surprising thing that might stop it.
All right.
Let's do this thing.
Yeah.
First up, we have a story from Becca Bressler.
Hello.
Hey.
Okay, so I'm going to take you from pumpkins to carrots.
Okay.
Huge leap, huge leap.
Orange vegetable to orange vegetable.
Stick with me.
This story starts in a kitchen.
Okay.
So this was a few years ago, November 30th, 2021.
With this woman named Ray Mondo.
All of my housemates were away for the evening and I was making dinner.
I have vegetables out.
There's broccoli, there's carrots.
Music is playing.
Vibes are good.
Pretty normal evening.
And as I'm chopping, chop, chop, chop, chop, chop, chop,
all of a sudden,
she looks down and was like, I just cut off my fingertip.
The end of her left middle finger from halfway down the nail was just gone.
The wound was just white for a moment, and then I saw just like the river of blood like rise.
So she grabs paper towel, presses it up against her finger that's gushing blood.
And she immediately calls her friend, Amy.
My best friend, Amy, used to be a trauma nurse.
Person to call, right person to call.
So Amy picks up, they tell Ray to bandage it, keep pressure on it, go on the couch, elevate it, and just like dissociate for a while.
Wait, but she didn't go to the ER or something?
So actually, that was the question that consumed her.
I'm like, how much is having a fingertip worth to me?
Like, can I put a dollar amount on it?
Her deductible was super high.
If the emergency room bill were going to be $5,000, nah, I'm good.
Like, I can live life without a fingertip.
If it's $1,000,
I'm like tempted, but like, geez.
Yeah.
I do really like having like all my fingertips.
Like,
but eventually she decides it's not worth it.
No.
And at that point, I was like, I'm done.
I have a short middle finger now.
This is just my life.
Yeah.
But
over the next few days, as Ray gets into a routine of changing out the bloody bandage,
she starts to notice a couple things happening.
Uh-huh.
One, what I noticed was my fingernail continued to grow outward
in the same shape that it grew before.
And two, the finger started to fill in underneath the fingernail that was growing outward.
And after a few weeks, I was like, wait a minute, like,
is my fingertip growing back?
And
slowly but surely, it was just sort of like,
My finger was back.
What?
Like her whole fingertip grew back?
Yeah.
Like you couldn't even tell if anything happened to it?
No.
Now it's like, I would say 99.5%
back to normal.
Man, this feels so like, I mean, I've heard of human, like you can regrow skin.
I get that.
I feel like I've vaguely heard of someone regrowing part of a liver.
Yeah.
Maybe.
Yeah.
Yeah.
But like,
this is different.
This is like, there's a whole, there's a bone in there.
There's like, there's so much going on.
Yeah, it does feel more complicated.
There's layers.
It's a, it's a, it's a flesh lasagna that you're growing back.
Actually, totally.
I had never heard of this before.
And obviously this was very surprising to Ray.
Oh, totally.
And so actually she emailed us to tell us about this.
To be like, what?
I mean, how, like, am I a mutant with superpowers?
Kind of, yeah.
She wanted us to find out, how did this happen?
Like, how did my fingertip grow back?
Right.
So Ray and I together called up.
It's nice to meet you, Ray.
Oh, it's so nice to meet you, too.
This guy.
Can I see your finger?
Oh, yeah.
So this is Ken Munioka.
He actually studies fingertip regeneration.
Currently at
Texas A ⁇ M University.
And Ken wasn't that surprised to hear about Ray's fingertip.
I felt bad for you, but I suspected it all came back.
He says that people have been writing about this for nearly 100 years.
Yeah.
That story begins back in the 1930s.
A physician in Canada had a severely infected finger, and he basically removed the bone out of his finger.
Just the tip of it.
And he, he, but he x-rayed it, and he sort of followed it with time, and he found out that his whole finger regenerated.
Whoa.
Ken also told us that back in the 70s, doctors in the UK saw a bunch of kids with chopped-off fingertips.
There was a reasonable number of them coming into the clinic.
No idea what was going on over there, but.
They documented hundreds of children regenerating their fingertips.
So Ken studies this stuff at a microscopic level.
In fact, I spend most of my time working with mice.
Unfortunately, or fortunately, there aren't a lot of controlled studies around chopping off human fingertips and seeing how they grow back.
But thanks to our good friends, the mice.
We were able to follow the regeneration process using this machine called a micro-CT.
What's that?
So it's like a CT scanner, but it's like for tiny little things.
And Ken says that when you cut off your fingertip, a few things happen.
You know, the initial response to a trauma like that is an inflammatory response that cleans up the wound.
Pretty standard stuff.
But then,
sometime after that, something very unusual happens.
Stem cells that are in the nail bed that are normally required for having your nails grow continuously throughout your life, they sort of kick off this rebuilding process.
Forming this sort of organizing response to make the other parts of the tissue in that lost fingertip.
So this is Chris Arnold.
He's a professor at West Virginia University.
In the biology department.
And he says that these stem cells under the nail call up a bunch of other stem cells in the body.
You know, cells that can make bone.
Skin tissue.
Nerves.
muscle tissue.
And so these different types of cells basically start regrowing what was lost.
And eventually you have a whole brand new fingertip.
Huh.
Like we plumped back out to what it was.
Yeah.
How does it know when to stop, right?
Like if your fingertip grows back, it doesn't become bigger than it was before.
There's apparently there are signals to stop regeneration, but we don't know exactly where it's happening, when it's happening.
Got it.
Weird.
Also, can I just say, what a weird use of stem cells.
It's like you have these miracle cells in your body that can do whatever, regrow whatever.
And then it's like, okay, you know what we need you for?
Just keep regrowing nails that we're going to have to cut anyway.
Seems like so futile, right?
That's so, yeah.
So that's exactly what I said to Chris.
Yeah.
So it doesn't make a lot of sense for us, right?
As like, why is it our nails like just keep growing and growing?
But if you think a little earlier for earlier mammalian ancestors, maybe that's where you actually get more of the answer of why this is happening.
Because, I mean, from our earlier sort of kind of rodent-like ancestors, known for the ability to dig, burrow into new environments where you're getting this constant damage.
And so that may came along with it, this ability to constantly regrow from that damaged kind of part.
Wow.
It's kind of crazy to just like look down at them and be like, I have these because of rodents.
Exactly.
Yeah.
Like, should I use them and burrow?
I don't know.
Yeah.
Are you burrowing with them?
Like, well, what are you, what are you using your nails for?
I know.
Really?
I'm never going to look at my fingernails the same.
It's like the former us hunched over trying to dig away.
Yeah.
But when Chris started telling me about other animals, there's animals that regenerate even better than that.
I realized that we're not that impressive at all.
Yeah, so if I could regenerate like a salamander, if I cut off my hand, a new hand would grow back in its place.
And as you told me about more and more of these creatures, it just kept getting weirder.
Like our friend the planaria.
Mm-hmm.
So there's this tiny little flatworm called a planaria.
And if you cut it into small pieces, even hundreds of them.
Those pieces can regenerate the entire animal over again.
Wow.
So the whole body can grow from any part.
Some starfish can also do this.
You can cut cut off one of their arms and that can become a whole new starfish.
There was a famous story where scuba divers were trying to get rid of a starfish population in their area by going down and cutting them into little pieces, only to find to their dismay that the next day they were, well, the next few weeks, they're even more starfish than they started with.
Okay, now this is my favorite thing.
So, you know, the classic one, lizards, right?
Right.
How they can break off their tails and grow them back.
Yeah.
What's amazing, though, is that they have this tearaway site on their tail.
Kind of of like, I think of like the perforated part of like a ketchup packet or something.
It's like a coupon.
Exactly.
But they're not the only animal that has one of these.
The sea slug.
Oh.
But it's not the tail they're losing.
They actually lose all of their body from the neck down.
It turns out that when they're sick, they can just shed their entire body.
And at the end, it's just a head that's swimming around that will then go on to regenerate all the rest.
Oh my God.
Wow.
I've been sick over the last few weeks and that is just so relatable.
Like I have thought about doing that so many times.
No, I'm coughing.
It is wild that you can just dispense of a body and be a head and then grow a new body.
I mean, when it goes to that level, it feels like, it does feel like a superpower.
No, totally.
And I know these things feel like superpowers to us.
Yeah.
We generally think of animals more like a planaria, something that could regenerate regenerate its whole body as just something sort of weird and alien.
But Chris told me that this thing that seems just like a strange little cork of nature is really not that strange at all.
When we look at the tree of life, the ability of an organism to regenerate itself from a small piece, whole body regeneration, the most extreme form of regeneration, that is actually very widely distributed throughout the tree of life.
Wow.
And it's only been lost in a couple of branches.
Ours is one of them.
And so it's not really weird that an animal can regenerate its whole body.
It actually might be more weird that we can't.
Why can't we do this, though?
Like, why are we the ones left out?
Yeah, I mean, scientists think that it's because we're complex, right?
Like, they typically see these regenerative properties in simpler organisms.
The more
complex, the more many parts there are to a structure, the more interdependent those parts are.
It makes sense that if you lose a part of that, it's really hard to recreate it.
It's like a devil's bargain thing.
Like, this is the price you pay for complexity.
Yeah, it's the price we pay for like having our big old brains.
And
it costs a way more to fix a fancy car, you know what I mean?
Than an off-the-shelf thing.
Yeah.
Yeah.
Totally.
You know, I am curious,
what does Ray think about all this?
You know, how does this reporting change change her?
Because she wrote to you feeling like she had a superpower.
And now you've told her that not only doesn't she,
we are, we pale in comparison to what most animals can do, that we are the outliers.
We're the odd men out of being unempowered.
Does it, did it, did it change her sense of specialness?
I mean,
I don't think I feel less special.
I think I feel
way more connected to the tree of life.
Like, oh, I got to experience this thing that like
all the other, like, or like so many of the other, maybe the majority of the other like branches of the tree get to experience.
And like,
how cool that, you know, it was just a fingertip, but like
I'm out there with all those other guys.
Yeah.
Yeah, you're in good company.
Yeah, you know, before this story, I would not have associated my fingertips with sea slugs in the slightest.
But I hope that going forward, that is what I continue to think of when I look at my, I don't even know what sea slugs look like.
I'm going to have to go home, look at a picture of them, and then just like hold my fingertip up next to it and be like, that's me.
Yeah.
Producer Becca Bressler.
We're going to take a quick break.
And if you don't know what a sea slug looks like, or even you think you do,
just look it up during the break because they're,
I mean, it's like a Martian fashion show down there.
So beautiful, so strange.
We'll be right back with two more stories of growth.
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Hey, I'm Lothif Nasser.
I'm Lula Miller.
This is Radiolab.
Today's episode is about growth.
Pumpkins that can grow 20 pounds a day.
Fingertips that miraculously grow back after they've been chopped off.
Slugs that can chop off their own body and then grow the whole thing back.
This growth I have at the bottom of my toenail.
Yeah, so they're obviously all different kinds of growth, but it it seems like they must be like tied together by some underlying rules of nature.
Oh, hello, Pat.
Hi, I am here.
I've invaded your host intro.
Okay, great.
This is Pat Walters.
He's our managing editor.
Yeah, and whenever we get curious about the rules governing nature and the universe,
we tend to call this one particular guy.
Hey, old man.
Hey, how are you?
This is actually very comfortable here.
Let's talk all day.
His name is Steve Strogatz.
I'm a mathematician and math professor at Cornell University.
Also has a great podcast called The Joy of Why.
And I asked him, just like, what are the different ways things can grow?
Okay, here we go.
There's linear growth.
A simple kind of growth, basically adding.
Like one, two, three, four.
This, if you're like me, is how that stack of the magazines grows on your desk each month.
And then there's exponential.
Growth that feeds on itself.
The kind of growth that multiplies.
Like one, two, four, eight.
Picture each magazine on the stack giving birth to another issue of the magazine each month.
No.
The more of something there is, the faster it grows.
This, of course, is how diseases spread and pandemics happen.
Now, there are kinds of growth that are faster than exponential.
What's that?
There's something called blow-up.
What's blow-up?
Which sounds like what it is.
Something goes from nothing, boom, to infinity in a finite amount of time.
But Steve says this doesn't actually happen in in the real world.
Because we don't believe there are infinite anythings in our existence.
Oh, thank God.
And then there are these other kinds of growth that are a little more, I don't know, peculiar.
And Steve told me about this one that completely took me by surprise and showed me how these patterns, these invisible blueprints of growth, can sometimes stretch out and connect parts of the world that I didn't think had anything to do with each other.
Hmm.
So you've heard the name Fibonacci.
There's the famous Fibonacci sequence, which is where I take a number like one and two, and then I add them to make three.
And then I always take the two most recent numbers and add them to make the next number.
So two plus three is five.
Five plus three is eight.
Where am I?
Eight plus five is thirteen.
These are all Fibonacci numbers, and you can keep going like that, and you can see they're getting big.
So the sequence goes one, two, three, five, eight.
And each number in the sequence is the sum of the two that came before it.
So it keeps getting bigger in this strange and yet oddly
predictable way.
Yeah.
Okay.
And I think when I started talking to Steve about it, I had the vague sense that what was interesting about it is that it sort of shows up in nature,
maybe in plants.
Yeah.
But according to Steve.
The Fibonacci sequence was originally posed as a problem about rabbits growing, where there was some made-up population biology rule about how many rabbits give birth to how many other rabbits that led to the Fibonacci sequence.
That's from 1200 A.D.
And it's not even...
They observed something in rabbits or something?
No, it's a made-up, it's a textbook problem.
It's fake.
Rabbits don't really grow according to the Fibonacci sequence.
Wait a minute.
So they came up with the,
where did the sequence come from?
Well, it's got a good backstory.
Yeah, what's that?
So Fibonacci,
Fibonacci, whose real name was Leonardo, but of Pisa, not of Vinci.
Weirdly, Steve says a historian sort of randomly stuck him with the name Fibonacci in the 1800s, but all this happened about 600 years before that, when he was still just Leonardo of Pisa.
So Leonardo of Pisa, a.k.a.
Fibonacci, is an Italian mathematician whose dad was working in North Africa.
It's a really interesting, vibrant place.
He's getting to meet people from Egypt and all over the Middle East as well as Sicily.
And there's a lot of trading going on.
It's 1200, a very vibrant time in the Middle Ages.
And this Leonardo learns about a fantastic new kind of math that has come from a different part of the world, from the traders coming from the Middle East.
from Arabic world, including who have themselves learned math developed in India.
And so when we talk about Hindu-Arabic numerals, the ones that we all use today to write with, 0, 1, 2, 3, up to 9, those digits are from India by way through Baghdad and finally into Europe through dun, dun, dun, Leonardo of Pisa.
Fibonacci brought Hindu-Arabic numerals to Europe.
So this, it's a really ironic thing that Fibonacci gave us the numbers that we all use today, and nobody really remembers that that's what he did.
He wrote this book called Liba Rabachi, basically the book of counting, the book of reckoning, how to work with numbers in a really practical way.
That merchants of the type that he was encountering in all these trading spots in the Middle East, everybody had to work with money, and Roman numerals were terrible.
So everybody wanted a better way, and these Hindu-Arabic numerals were fantastic.
You could do really good calculations in your head.
So, anyway, he introduced this fantastic system of Indian numerals to Europe around 1200, and he just, as a little footnote in his book, not really a footnote, but the book is filled with practice problems about taxes, about interest, about all kinds of money problems.
But he made up this problem about growth, that the rabbits take one month to mature, and then when they mature, they give birth to another set of rabbits, a pair of rabbits, and then that pair can mate, blah, blah, blah.
Anyway, he made up this story about rabbits where the Fibonacci Fibonacci sequence comes out.
Where did this, but the sequence, even though he applied it to a made-up story about rabbits.
But don't we see the Fibonacci sequence
represented in the future?
Yeah, yeah, yeah, we totally do.
Sure.
Plants really do have it.
I mean, there's a million places we could go.
We could, if you look at a pine cone,
if you start following the straightest line that you can, you can make a certain number of windy spirals.
So if you count them up, the number will end up being a Fibonacci number of these spirals.
And no matter how you do it, you'll always get a Fibonacci number.
Trevor Burrus, Jr.
So
did he just wing it and throw it on some rabbits and then it turned out magically to be true?
Or did it
come from India?
Well, okay, that's another good story.
It's nice of you to keep asking me these kind of questions.
Okay, so it turns out...
that Fibonacci was not the first to think of the Fibonacci sequence.
Oh.
It's a misnomer, and we're only gradually starting to appreciate how much of European math is really Indian math or Arabic math.
I mean, a lot of it is European.
I don't want to pretend it's not.
But the Fibonacci sequence was known 400 years before Fibonacci, if not longer,
in India.
And in a really surprising place.
It's in connection with poetry.
With poetry.
Yeah, let me, can I try to explain it to you?
Yes.
This will take a minute.
Okay, yeah, do it.
We can try.
I guess there.
Yeah, okay.
So going way back a few hundred years before the birth of Christ, there are scholars in ancient India who are really interested in, let's call it meter, you know, like rhythm, patterns of rhythm in poetry.
The poems
have certain rules to them because the rules make it easier to remember.
And in a time before people had books, because remember the printing press is in the future.
Oh, right.
Right.
So like if you want to remember the Odyssey in ancient Greece or memorize the Koran,
you're going to sing it.
So it's not just because it sounds nice or is pretty, it's because it's a tool for remembering.
It's the way human psychology works.
Right.
So
these ancient scholars in India were trying to just think what exactly are the possible patterns if we obey,
if our poetry obeys a certain rule, which is that you can build it out of two types of syllables.
You can have something that lasts one beat or something that lasts two beats.
And so one question that people interested in the sort of the science of poetry were concerned with was,
suppose I want to make a line that is, for example, four beats long.
How many different ways can I make something that's four beats?
Basically, I have two things I can play with.
Something that's one beat long or two beats long, right?
There's these two kinds of syllables.
So I could do one plus one plus one plus one, that adds up to four.
Or I could do a rhythm that was
two, one, one.
That would also add up to four.
Or I could do one, two, one.
That would be four.
Or I could do two two.
Or I could do one one two.
I've said five possibilities.
Now, what's interesting about that is that five is the fourth Fibonacci number.
Oh.
And in general, if I want to make something that's n beats long, there is the nth Fibonacci number ways of doing it.
Whoa, wait.
Okay.
So to make a five-beat line, there would be...
eight ways of doing that.
And to make a six-beat line, there would be 13 ways of doing that.
Yes.
And a seven-beat line, there would be 21 ways of doing
that.
It's a growth problem, right?
It's the growth of possibilities.
It's the growth of creative possibilities in Sanskrit poetry.
This was figured out in India by a person named Virahanka four centuries before Fibonacci was born.
Wow.
So
they noticed this phenomenon present in poetry, studying the possibilities in Sanskrit poetry.
And then like when I google the Fibonacci sequence and Wikipedia tells me it's like really all over nature, not just in pine cones, but pineapples and on sunflower seeds.
Apparently, lots of flowers have a Fibonacci number of petals.
Yes.
I'm just now trying to like wrap my head around like, is that because there's something
in the universe that like made its way into the Sanskrit poetry by way of humans that's that also made its way into the trees and the pineapples?
And like, what's the, that's crazy.
That's That's wild because I think about poetry as being so separate from
a pineapple or
the leaves on a tree.
Yes.
Well, okay.
It's not a question.
That's just a question.
No,
it's an expression of wonder, which is appropriate.
Why are Fibonacci numbers in botany?
Why are they in so many plant structures?
There are various theories out there.
Some people will say that it has to do with like when a branch shoots out of a tree.
it doesn't want to shoot out in a direction where it's covered over by another branch.
It needs to get its own sunlight.
So if the branches have to grow, I mean, natural selection, evolution will have disfavored the trees that don't follow this principle.
That may have something to do with it.
I'm not giving you a clear explanation because I don't honestly know.
This is helpful.
And then like
maybe the same thing holds true for the poetry where people are trying to create new
newness.
You're trying to make,
I don't know, create space in a sense.
Yes.
You're trying to create novelty subject to constraints.
Right.
Right?
And you could say novelty subject to constraints is art.
Like growth in creativity subject to constraints.
That's what art is, right?
Hmm.
Yeah.
Anyway.
Huh.
So what do you make of all that?
I guess, I don't know.
It sort of makes me see the plants as
a little bit more artistic than it did before.
And
the poetry as
like
a little bit more
from nature.
That gives me goosebumps.
That's really cool.
Yeah.
You're also missing the other takeaway here, which is that
Fibonacci didn't discover the Fibonacci sequence, and that's not even his real name.
He wasn't even named Fibonacci.
That is the point.
Let's bring it back down to Earth and focus on what really matters.
What really matters is that he's not a family.
Just that Fibonacci.
He's a fraud.
Let's just call him out.
He's not who...
We thought he was.
Well, thank you, Pat.
That was beautiful.
And we will be back in just a moment with one last growth story of planetary scale and import.
And the little humans trying to control it.
Stick with us.
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We are back.
Okay, so
with one more story of growth from producers Annie McEwen, I've just detangled my headphones.
And Simon Adler.
But go on, go on.
All right.
Let us begin.
All right.
So I think, like,
I think, like most people, I thought for the longest time that the human population was growing really fast.
We already have between three and seven times more people than we can permanently support.
Maybe exponentially.
The growth rate is just incredible.
You know, people were popping kids out and blah, blah, blah.
We are destroying our fossil fuels.
We are dispersing our mineral resources.
And that this was like a really big
problem.
We're freaked.
Yeah, a ball of flesh expanding at the speed of light, I think.
A ball of flesh expanding at the speed of light.
Oh, God.
This is Philip Cohen.
I'm a professor of sociology at the University of Maryland.
And I called him up to talk about this fear.
It's one that I really took deep into my soul at some point in my life.
And he told me that, like, yes, this was a real concern starting around the 1950s.
Population did start increasing exponentially.
You know, 2 billion, 4 billion, 8 8 billion.
Population bomb kind of thing.
Yes, yeah, yeah, yeah.
But that by the time I had even started worrying about it, by the 90s, really, it was no longer a problem.
Right.
You know, it's obviously a long, complicated story, and it's different around the world.
But with better health care, better contraception, and access to education, a lot of women started having fewer children.
Fewer kids meant slower growth.
And as growth slowed, demographers predicted that population would just plateau.
Yes.
The idea was that the average woman was going to have two children and that world population would hit a peak around 10 billion, around 2060 or so.
And after that, be stable.
And we would all live happily ever after.
Oh, thank God.
Yeah, it's great.
Big ol' exhale for Annie McEwen on the population front.
That's right.
But then.
Like 10 seconds after I learned about this plateau and felt great about it, I learned that that is not what's happening.
Hmm.
Well,
it would be in Europe the panic first started.
Because instead of like watching things come to settle at a peaceful plateau, demographers noticed that, especially in Europe, but also in other parts of the world, you know, South Korea, China, Japan, that this drop in birth rates accelerates.
The fall accelerates.
Exactly.
Birth rates in a bunch of places were now dipping too low.
Okay, so I've got the latest fertility rate information here in front of me.
So like, ask me, ask me a country and I'll tell you.
Okay, France, France, France.
Okay, so remember, for us to keep replacing ourselves, the number to hit is 2.1.
France is 1.8.
France is 1.8.
Okay.
Au revoir.
Poland.
Poland is 1.5.
1.5.
Wow.
Yeah.
Mexico?
Mexico.
1.8.
Cameroon.
4.29.
So they're above representative.
Oh, they're high.
Yeah, they're high.
They're high.
But they're falling.
Like in the 80s, I think it was 6.7.
Whoa.
What about Ghana?
3.5.
But they also fell from over 6.
Oh, wow.
Italy?
Italy is 1.3.
Italy's low.
Whoa.
Italy's 1.3.
Wow.
Yeah.
What are we?
What's the U.S.?
1.7.
1.7.
Yeah.
Wow.
And where's it?
The lowest?
The lowest are like Korea and Japan, which I think Korea Korea is at like 0.6.
No
point six point seven.
Yeah.
Wow, that's so low.
Wait, and Earth as a whole is what right now?
It's 2.3.
So we're just above total.
Yeah.
And Philip says that this downward trend is going to continue.
The world population is going to hit a peak.
around 10 billion, around 2060 or so.
And after that, it will almost certainly start to taper downward.
So we are on the verge of beginning to shrink.
Really?
That makes me so happy.
Yes.
In a couple hundred years, it's projected that the Earth's population will actually be about 6 billion.
Wow.
That far down.
So less than now.
Oh, yeah.
We were going a roller coaster and we're like, we're coming at that.
We're like,
it's like the tukka-tuka-tuka on the roller coaster before the the drop.
Exactly.
I am really pumped to hear that.
Whoa.
I don't know.
I think I kind of like the plateau.
The plateau sounds so nice because the stability, it's like you can, you know what to plan for.
Like, you know what to do.
But it's a stability of like un of a, of a herding earth and like strapped resources.
How about a little less
to drive cars and share weeds?
That's fair, but I don't know.
There's something that sounds sad about less people.
It's like the parties ended.
No.
Like it's like the parties.
It's really not sad.
It's like, that's great.
The parties, there's still so many people.
The club is popping.
Yes, the club is popping.
Yeah.
I think, I think when I heard this, I was like, okay, great.
I feel relieved.
The skin ball is not going to happen.
But I guess the thing that I was most struck by is just
while I was freaking out about humans exploding off the planet, eating everything, there was a whole other group of people freaking out about the exact opposite.
Really?
Hey, would they be worried?
Well, you know, some of them are the billionaires.
You know, if we don't make enough people to at least sustain our numbers, perhaps increase a little bit, then civilization is going to crumble.
Who are just like, let's grow, grow, grow so we can all make more money.
I'd rather civilization went out with a bang than a whimper and adult diapers.
But then there are like also regular economists, especially in like the Western capitalist economies, who say that the shrinking is a problem because our economy needs workers to just, you know, keep things chucking along.
But I mean, what about immigration?
Forget all the other reasons.
Just looking at it from this economic viewpoint, I mean, people in the United States might not be having that many kids, but there are lots of people who would love to come and live here and therefore be workers in the economy.
Yes.
Anybody who says there's a population shortage or problem in any rich country has to at least answer the question of what about immigration?
Like, were it not for immigration, the U.S.
population would be falling right now.
Really?
Yes.
Or it would be falling very soon.
Which is so crazy that the
administration in power right now, the whole thing is like, get people out, get people out.
And it's like, yeah, we kind of need people right now.
Yeah.
And actually, when I spoke with another demographer on the phone, James Ramo, he told me that like all these countries that are, you know, really not immigrant friendly, in 50 years' time, they're going to be fighting to attract immigrants.
Oh, I bet.
I bet.
But like, even with all these wealthy countries holding their doors wide open, that's that's only a temporary fix.
That works for, you know, maybe a hundred years or 50 years.
Because by the year 2100, 97% of the world's countries will be below replacement levels.
So this sort of decline in fertility is happening everywhere.
And it's happening more slowly in some countries than others, but it is happening.
So basically in 70 years or so, most of the planet will be dipping.
Yes.
Hmm.
And like, I think talking about the economy, especially the economy in the future, it can feel just very abstract.
But for me, like the whole thing started to get kind of unsettling when I called up another demographer.
Hello?
Oh, I hear them.
Hello.
This one named Leslie Root.
I am assistant professor of research at the University of Colorado Boulder.
Who told me that fundamentally, this whole thing is a question of how will we care for each other.
So this is, this is true of like any human society, right?
That you have people who need to be supported and you have people who are capable of supporting.
And people who need to be supported are the very young, right?
Like human children are pretty hopeless.
And like compared to other primates, right?
They can't do anything.
Yeah.
Exactly.
And the elderly.
And then sort of the prime working years is when we are supposed to be able to produce more than we consume so that we can share it with other people.
And so a big concern is that when you have lower fertility and imagine your population with like people flowing into and out of it, fewer people are flowing in and the people who are already in it are getting older and older.
So you have what's called an aging population.
So like in 200 years, when the population is down to 6 billion, that's going to be a very different 6 billion than the one we just experienced in the year 2000 because a lot of those people are going to be very old.
And the worry is that like as society becomes more and more top heavy.
What does that mean for our ability to support each other?
Like, just super practically, you know, like, who are all the doctors going to be to take care of these old people, and who's going to staff the nursing homes, and like, who will grow the food to feed these old people?
Like, you can sort of see that, like, as the proportion of young to old people shifts more and more out of whack, you have on the backs of these few young people kind of the burden of everything.
Unless
a whole bunch of us right now Pope told Italians to have more babies start to breed like rabbits Which is what a bunch of governments around the world are trying to get their citizens to do Putin has urged a Russian woman to have eight or more babies
Here's a bunch of stuff that countries have tried
Japan tried government-sponsored speed dating night
Russia they're like hey if you have more than two kids we'll give you seven thousand dollars four times the average monthly wage Taiwan there was a presidential candidate in 2023 who was like hey the gift of yet another furry child.
Everyone who has a baby should get a free pet as well.
A free pet?
That's like more, more worth it.
There's also things like Sweden has these like amazing parental leave policies.
480 days.
Germany has got free daycare.
That's money.
And of course, there have also been some darker attempts to control, like in the U.S.
and North Korea, where abortion has been banned.
But the crazy thing is that, like, carrot or stick,
none of this has worked.
None of it has worked?
Yeah.
And the one thing I'll add to that is like with
few exceptions and the exceptions are sort of explainable away, no country that has dipped below replacement rate has ever come back, gone back above.
Wow.
Interesting.
Right.
There really is no success story out there.
Nobody has shown how you can turn this around.
Huh, that's wild.
I mean, do people have any idea why not?
I don't know.
I think it's because it's just really hard to answer the question, why does someone choose to have a kid or not?
Yeah, there's a lot of like casting about for explanations of what exactly drives lower fertility.
There are going to be a hundred reasons, big and small, why someone becomes a parent or not.
You know, we meet a partner or we don't, and our partner has the same preferences that we do or they don't.
We can find affordable housing or we can't.
We have access to great health care or we don't.
We get a good job with flexible hours, or we don't.
We live near family who can babysit the kids, or we don't.
You know, for every one person, the decision is going to be this like really complicated mess of reasons and circumstances.
And if you zoom out from there to the national or like the global level, looking down and trying to understand this is just total chaos.
Hmm.
Right.
You're not going to solve the mystery of why.
And basically, there's nothing you can do about it.
So what does this look like?
You know, like, what does it look like when a society stops having children?
This is Gideon Lewis Krause.
I'm a staff writer at the New Yorker.
He recently wrote an essay about declining population called The End of Children.
And as he was starting to report the piece, he noticed that there were all these articles in Western media about South Korea.
Obviously, South Korea with with the lowest fertility rate in the world comes up all the time in all of these columns.
And I noticed that everybody invoked South Korea, but it didn't seem like anyone had gone there.
And I thought, like, it would be interesting to hear from some South Koreans about this.
South Korea is a country that has more deaths than births every year.
And it's not an easy country to immigrate to.
So its population is getting older and smaller.
And so it's sort of seen as almost like this bellwether for where the rest of us are headed.
And so I got there, there and
I got into the center of Seoul and I went to the subway at rush hour and you saw no children anywhere.
But at first I thought like, oh, well, you know, in New York, like, would I take my kids on the rush hour subway?
Like, probably not.
But then pretty immediately, like, you really just don't, you know, you don't see playgrounds or like the handful of playgrounds that I saw were completely empty at any time of day.
And you just don't see a lot of children.
And there were these no kids zones everywhere.
There were signs on restaurants and other establishments that said no kids here.
And I mean, so much of it is about a rapid shift in cultural norms about kids.
So in fact, I met with this young economics reporter who writes about this for a living.
And she was in her late 20s or early 30s.
And she said, like, I understand all of this stuff on a deep economic level.
But when I write about it, I think, like, well, what would change my mind?
And the answer is nothing.
There's nothing that would make me want to have kids because it's the norm to not want to have kids.
Gideon eventually made his way out to some of the more rural areas of the country where it's projected that about 2,000 schools are going to be closing in the next 10 years.
And so I wanted to go visit one of these schools.
So I went to one in the far south.
And this school, I think it had, as Max, it had about 1,300 students.
Now it has five.
It had...
With five students.
Five students, yeah.
What grades?
It had three first graders and two sixth graders.
And when I was talking to the sixth grade teacher, I said to him, like, so you have two kids, like, do they get along?
And he like looked at me like I was a complete idiot.
And he was like, what do you mean, like, do they get along?
Like, they don't know anyone else.
They've been in school together since they started school.
Like, the other child is like the only other child they know.
What was it like walking through this school?
Like, what did it look like?
Well, there, you know, there's a feeling of great dignity and resignation about this stuff.
So this, you know, the outside of the school had been freshly painted, and the inside was bright and totally broom swept and spotless.
And everything was in perfect order, except it was empty.
And like there was no heat on in the hallways.
And almost all the classrooms were dark.
And some of the classrooms had photos of the last group of kids that occupied that classroom.
And like the classroom was dark and just hadn't been opened in a couple of years.
And
the cafeteria had like a little proscenium stage with a curtain.
And clearly they had had like school plays there and stuff.
And like, you know, you probably could have seated 300 people in this cafeteria.
Um, so it just felt like everyone had a like, there was no sense of decay.
It just felt like everyone had evaporated.
Right.
It does feel like children are disappearing.
Yeah.
And
something like 200 nursery schools have been converted into retirement homes because there's like a radical dearth of retirement homes.
And you can see that some of these nursery schools that have been turned into retirement homes, they've kept the same directors and they had kept the same like rubberized play floors.
for the old people.
And they even had, actually my fact checker, Emily, found this.
When she talked to them, she was like, not only do we have the same rubberized play floors, we have the same crayons that like the kids used to use the crayons and now we just like the seniors use the crayons.
There's something really dark about that.
Yeah.
Yeah.
Yeah.
The bell curve of life.
But this is our projection.
Yeah.
We've already in this very story been wrong twice about projections.
We thought, oh my God, it was going to be a population bomb explosion.
Too many people.
Then we were like, oh, it's going to level out so nicely, perfectly.
That didn't happen.
How do we know that these projections are worth anything?
Yeah.
Yes.
That's a great question.
That is a great question.
I think that
we just don't know.
We just don't know what's going to happen next.
But what we're heading towards is like really unprecedented.
And there is no way to be like, oh, yeah, last time this happened.
So we can project forward and imagine.
That's right, right.
And I do think that.
It's the last planet we were on.
Yeah.
And as fewer people have have fewer kids, those fewer kids are going to have fewer kids.
And this is just, mathematically, it seems tricky to get out of that spiral.
However, we totally don't quite know.
And I think that's very fair.
What is very much agreed upon is that the population of the world is going to start declining.
And that is a totally new thing for humanity.
And that is set to happen pretty soon.
Yeah, yeah, it's pretty soon.
I hope to live to see it.
It's just interesting to imagine being on the planet and sort of looking around and being like, this is the most people there might ever be alive at one time.
At that moment, yeah.
It's big.
It's like, yes, it's like going to the moon or,
you know, our first nuclear bomb.
I mean,
it's a big moment in human history when
we turn that around and for the first time, the global population is declining.
You know, feeling like you might never come back from it.
Like
you've changed direction.
Yeah, it's a shift from growth to something else.
Something new.
Right, exactly.
Producers Annie McEwen and Simon Adler.
So that's the end of the growth show,
a story about shrinking.
Yeah.
Yeah, from a pumpkin that was kind of growing uncontrollably to a population that seems to be shrinking uncontrollably.
Well, at least we're making room for more giant pumpkins.
There's always that, the silver lining, the orange lining.
That, I guess, is our show.
This episode was reported and produced by Matt Kilty, Becca Bressler, Pat Walter, Sindhun Yana Sambandan, Annie McEwen, and Simon Adler with additional reporting by Ray Mondo, and it was edited by Pat Walters.
Mixing and sound design by Jeremy Bloom, fact-checking by Emily Krieger and Natalie Middleton, and special thanks to Ellie Tanaka, Keith Devlin, Devin Patel, Chris Golay, James Raymond, and Jessica Savage.
I'm Lula Miller.
And I'm Loftus Nasser.
Thanks for listening.
We'll see you soon.
Hi.
I'm Paolo Mara Biggs and I'm calling from Nuoli, American Sahamoa.
And here are the staff credits.
Radiolab was created by Jad Abimrad and is edited by Soren Wheeler.
Lulu Miller and Matapnasser are our co-hosts.
Dylan Keefe is our director of sound design.
Our staff includes Simon Adler, Jeremy Bloom, Becca Bressler, W.
Harry Fortuna, David Gable, Maria Paz Gutierrez, Sindhu Namasamadam, Matt Kealty, Enna McEwen, Alex Neeson, Sara Kari, Sara Sandback, Anissa Vitsa, Arianne Wack, Pat Walters, and Molly Webster.
Our fact-checkers checkers are Diane Kelly, Emily Krieger, and Natalie Middleton.
Bakatai, Tele Laba, Maro.
Hey, I'm Steph.
I'm from Melbourne, Australia.
Leadership support for Radiolab science programming is provided by the Gordon and Betty Moore Foundation, Science Sandbox, a Simons Foundation Initiative, and the John Templeton Foundation.
Foundational support for Radiolab was provided by the Alfred P.
Sloan Foundation.
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