Video summary
The speaker, who identifies as both a paleontologist and a mathematician, introduces the critical challenge of predicting extinction risk by combining historical fossil data with modern mathematical frameworks. Unlike the Hollywood stereotype of staring at numbers to solve impossible equations, his work focuses on determining the probability that any given species will vanish in the near future. This research is driven by urgent conservation needs, particularly in light of climate change, which is projected to raise global temperatures by four degrees by 2100. Such drastic shifts threaten ecosystems through severe droughts and heatwaves, making it essential to identify vulnerable species before they disappear forever.
To assess these risks, the speaker outlines two primary approaches. The first involves looking at historical analogues, where current conditions like high CO2 levels are compared to past periods of intense volcanism that caused mass extinctions. The second approach, which is the focus of his research, examines the abundance patterns of species over time. Traditionally, this pattern appears symmetrical: a species starts with low abundance (teenage years), grows to a peak (adulthood), and then declines (retirement) before extinction. This has led to the hypothesis that species literally possess life cycles similar to humans.
However, the speaker challenges this biological interpretation by proposing an alternative explanation rooted in mathematics rather than biology. He argues that the observed symmetrical curve is not necessarily a real life cycle but an artifact of "noise" and observation bias. Using the concept of Brownian motion, he explains how random fluctuations in population numbers across different geographic groups, when averaged together, create a smooth, zig-zagging pattern that looks regular despite being chaotic. Furthermore, because we only observe species from their origin until they go extinct (where abundance hits zero), we retrospectively impose a symmetrical shape onto data that might otherwise be irregular.
The talk concludes with an ongoing scientific debate regarding which hypothesis is correct: the biological life cycle or the mathematical noise model. Applying Occam's Razor, the speaker notes that the noise hypothesis requires fewer assumptions and may be the simpler explanation, though recent papers still support the life cycle theory. He emphasizes that this uncertainty is exciting for science, as it represents a hard problem without a definitive answer yet. Additionally, he addresses questions about human extinction, suggesting that while humans are geologically young, we may already be close to our decline, and notes that these patterns often collapse during major mass extinction events, further supporting the randomness of survival in catastrophic scenarios.
Read the full video transcript
[Music]
this one
right okay
so hi so as
a as a paleontologist
i study life on this planet as it used
to be because everything i study
is already dead so according
okay i'm sorry can you all see the
screen
okay because i'm a mathematician so i
can either show formulas or pictures
so seeing the pictures is really really
important to my talk
if you want to get the most of my talk
please come close enough
so you can actually see the screen okay
and as a mathematician i should
accordingly to hollywood
spend most of my time staring at numbers
solving
impossible equations and probably also
develop a serious mental health issue
the thing is this is all horrible cliche
and the reality is
very very different from that and what i
spent my time with
is actually looking at the question
can we predict extinction risk so can we
determine the probability
that any species on this planet will
vanish forever
in the near future and
from my paleontology site i use the fact
that
well everything i look at is already
extinct so there has been six major mass
extinction on this planet
and i can take the fossils from all
these extinctions
and use them as a basis for my study
whereas from the mathematical part i can
use
all the framework that is usually used
to predict the weather or the stock
market
and trying to get the prediction part of
predicting
extinction risk right
and this is not only a purely academic
question it is actually a very very
interesting and important question for
conservation
because we're not doing this for fun
we're doing this to identify species
that are very vulnerable and will most
likely go extinct in the near future
so we can then protect them from going
extinct
and one of the major reasons to protect
them is
why they might go extinct is actually
climate change so what you can hopefully
see here
is the predicted temperature change on
earth until the year 2100
and if we continue as we do at the
moment we will have
a temperature change of 4 degrees on
average until the year 2100
and that has really really strong and
strong effect on all ecosystems and will
put a lot of
species at risk just because droughts
are more severe
temperatures are higher and a lot of the
ecosystems will actually
most likely collapse
so there's different approaches to
trying to
assign extinction risk to a species and
one approach is what i
just called this has happened before
approach
and it's pretty straightforward the idea
is really simple you just look at
come on
you just look at what is happening right
now so what we are doing is putting a
lot of co2 into the atmosphere
which leads to a global warming and to
ocean acidification
and then as a paleontologist we go back
in life's history
and try to identify time intervals where
this has happened before
and there are actually really good
analogues and these are
time intervals where there was a lot of
volcanism that also put a lot of co2
into the atmosphere and then we're
looking at the
species that went extinct during these
intervals
of a lot of volcanism and then we try to
find
the analogues of these species in the
current situation
and then conclude that they will have a
elevated extinction risk
another approach that i will now
continue talking about in this talk is
the so-called
life cycle approach and i will focus on
this just because
this is my my research topic so this is
what i do all the time
and it is based on a very simple
empirical pattern
oh come on and that is that the
abundance of a species so how common a
species is
is very low when the species first
appears and then it slowly increases
until it reaches a maximum at the middle
of its life span
and then it slowly decreases again until
it's
going extinct and what's really striking
is that this pattern is really really
symmetrical
so you could say the way to success of a
species
is always the is also the way of
downfall of a species
and a common hypothesis is that this
pattern actually reflects the life cycle
of a species just like
humans have a life cycle this species
also has a life cycle
starting with the teenage years close to
the origination where the species is
young and dynamic
so it will spread out become very
abundant then the adulthood where it
will become very established and very
abundant and then
it will slowly approach retirement there
will be less and less of that species
until
it's going extinct it's pretty much like
humans
and using this pattern to predict
extinction risk
is also pretty straightforward
as an example here's a curve of a
species that still lives so it's still
around in the present
and we trace how common it was in the
past
so we see it's had it's had its teenage
years
it had its adulthood and it's slowly
approaching retirement
and with the knowledge of that common
pattern of the life cycle
we can then predict okay
it will most likely go extinct in the
near future
so it has a high extinction risk as
a counterpart
come on here the blue species is
constantly increasing so it's
no sign of adulthood still in its
teenage years
and if we make a projection into the
future we assume it will still
constantly increase
so this species has a low extinction
risk
and this is a pretty straightforward
approach you can do this for every
species for which we have fossils
and that are still around
the thing is this is based on the
hypothesis that
this is actually a life cycle
and when i looked at this i found a
second hypothesis which we can use to
explain this pattern
this very very symmetrical pattern and
that argues for that this is actually
not a life cycle but it's rather an
expression
of purely noise and an observation bias
that we introduce
simply because well everything we look
at is already dead
of course it has to drop before it's
going extinct right
and i will run you through this for uh
then the rest of my talk
and the effect of noise is uh best
explained by the brownian motion which
was
uh discovered by a very wealthy
british guy that looked through his
microscope and realized that
the poland in the water he observed are
not still but they're actually moving
and if you if he traced his their
movement
they showed a very very distinct zig
zaggy pattern
so they moved away from the original
position and
came back and moved away again and he
first thought this is actually
well the pollen are obviously alive
they're moving right
but after a while people fought into
this and looked at the polling more
closely and it turns out this is not
that the pollen are alive
but it's that they're like randomly
shuffled around by the water molecules
just because at some point
more water molecules are bumping into
the pollen from one side
it will move in the other and at some
other point randomly
more pollen will bump from the other
side so it will just always shuffle
around
and this brownian motion is very common
in all systems
that are governed by a lot of background
noise for example
if you look at the news from the stock
market you will always find curves that
are very very similar to this and
there's
people arguing that the stock market is
on
short time intervals actually behaving
like a poland under a microscope
but how does this actually connect to
our extinction
and just assume there's a
very simple example assume there's a
group of individuals of one species
that is living somewhere on this planet
and it's relatively stable so it's
moving
it's not changing its abundance and then
at some point it's hitting by a
catastrophe
and you have this sudden drop and then
slowly get get a recovery
and then we add another
group of individuals from the species
that is also hit by a catastrophe
but just at some other point because
they're living somewhere else
and when we combine these two groups
just because we don't have the
resolution to we just want to combine
them to get more information
something very interesting happens and
that is the catastrophe
does not look that catastrophic at all
and they look a lot more smoother and a
lot more regular
than the original than the original
curves
and you can continue this for example if
i average
10 groups from all around the globe that
are independent of each other
it looks a lot more smoother and if i
add more
you will always end up with a brownian
motion so in any system
that develops through time and you add a
lot of noise to it you will always end
up
with a brownian motion so in this case
there's a strong
argument for the abundance of a species
to actually follow a brownian motion
and now comes the second part which is
the observation bias
so we know this is a brownian motion so
this is suppose
this this is how the abundance of a
species is supposed to look like if
there's a lot of
random noise from all over the globe
contributing to it
we know two very important pieces of
information and the first is
well at some point
there is an origination and at some
point there will also be
an extinction so it will originate so
this is where we set up the curve to
zero
and it will also go extinct at the
moment the abundance drops to zero
and so now we have a curve that looks
surprisingly symmetrical and we can
retrospectively
assign it teenage years adulthood
and retirement so we we tend to see
these life cycles
even in random patterns just because
well it starts at zero and
ends at zero there's not that many
different patterns then an increase
and then a drop to zero again and
the cool thing is this is actually
pretty independent where i choose the
the origination so i can
place it up here and it's always
symmetrical or i can place it up here
and it's
still symmetrical it will always look
symmetrical
just by introducing the additional
information of the extinction
and this is kind of like a bummer as a
scientist
because we have this very beautiful
empirical pattern
um this is the data there's nothing we
can do about the data the data is like
unchangeable it's like pristine and
there's nothing we can do about
we have two very very different
hypotheses
that explain this pattern one is well
this is a life cycle
and there's this teenage year adulthood
and retirement and this is borrowed from
a metaphor that species are in a way
like humans on the other hand we have
this other hypothesis
that is well it we're just seeing
background noise and like
retrospectively
attributing these life cycles into
the data that are not really there
and so what do we do in science there's
a very fundamental principle in science
that's called occam's razor
and occam's razor pretty much says if
you have
two hypotheses then the simpler one
is most likely the better one and here
is simple
explicitly means not easier to
understand
but thus it requires less assumptions
so now the question is which one of
those hypothesis
is simpler
okay okay everybody who thinks that the
life cycle hypothesis
is simpler please raise their hands
okay everybody who thinks that the noise
hypothesis is simpler raise their hands
this is perfect because actually this is
not a rhetorical question
like we simply don't know so this is
this is
my research it's an ongoing debate
there's just
two weeks ago a new paper has been
published arguing for the
life cycle hypothesis but i can't tell
maybe in five years and this is actually
for me the most exciting part about
science
it's not finding the answer the moment
you have the answer it's kind of boring
because you know it it's actually that
you actually get to work on a really
hard problem
thank you
nicholas thank you for your talk i
really hope we don't get extinct
otherwise
it might get rough so who of the
audience has any questions nicholas
please raise your hands
the lady on the first row sorry for that
by the way
are there any contemporary species that
you consider with that life cycle
thing is it useful or is it just useful
for things where you can already see the
whole bow
the thing is so this is um this is
commonly used but it's always arguable
whether it's like retrospectively
assigned or whether it's a real life
cycle
so nobody really knows because you will
always find
like a maximum and then assign okay this
is adulthood
but it's the the problem with this
metaphor about humans is a bit
that for a human you see whether they're
adult nobody has an idea what it looks
like that the species is adult
so that that's the main difference and
so we cannot like go to a species and
say
this is in its teenage years it doesn't
work like that
there is one more question from the guy
over there
where are human beings as a specie on
that curve are we have we reached the
top or are we continuing to
continue to destroy the planet very good
question i think we're probably at all
of these stages
because as a species we're extremely
young from a paleontological perspective
so for example the data i'm working here
with the temporal resolution is 10
million years
so that's like the finest i can achieve
um and if you're trying to apply these
methods to human they just don't work
they don't have the resolution but
i would personally i think we're pretty
close to extinction
that's some bad news
any more positive questions
there is one over there
yeah hi um i was wondering like when you
talk about the species here
um to what extent um is like evolution a
part of that like um the very same thing
might change enough that you might
recognize it as a different thing and
count it differently maybe
or um some other animal
is taking over the same role basically
and then it doesn't matter if there's an
extinction
because the same thing keeps getting
done or
that's that's a very good question the
the thing is that it's um
so this is what you would call macro
evolution so it takes
usually evolution takes one individual
and looks at its
success what we're doing is we look at
one species and look at its success
the question you're asking is a
ecological question
that is most of the time at a much lower
temporal resolution and for the species
we also these are not like strict
species
in what like biologists use as species
these are morpho species so they're only
distinct by their morphology
and most of the time we don't have a
species resolutions on but we do it on a
higher taxonomic taxonomic level okay
we'll have time for one more question
any willing ones there is one race hand
over there
do you see taxonomic consistency when
you come and predict the life cycles
so perhaps at i don't know um what's
above gmos
family levels um
so everything is symmetric at
all taxonomic levels but it gets worse
with the higher levels because the
resolution gets
so the samples get smaller that's the
problem what's probably more interesting
is that
the pattern does not persist through
mass extinctions
so the broad if the moment you have a
very big impulse a very big destruction
the symmetry collapses which is also an
argument for the the random noise
uh argument i think to translate answer
species
go extinct by chance yeah great thank
you very much for this talk
if you have any further questions to him
you'll probably find him at the ice
cream shop after the talk
so thank you very much
[Music]
you