How life grows exponentially
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- čas přidán 19. 06. 2018
- In this video, we go beyond equilibrium and think about how populations of replicators grow, or don't. The second in a series on evolution.
Made with Blender and python.
Special thanks to supporters on Patreon, especially:
Jordan Scales
Eric Helps
Ben Kamens
Support Primer on Patreon:
/ primerlearning
For discussion and updates
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Streaming myself working on these monstrosities:
- Twitch: / primerjustin
Explanation of how exponential growth comes from a linear rate function. (Promised at 7:00)
www.khanacademy.org/math/ap-c...
License information:
Creative Commons 4.0 (CC-BY-NC). More info at creativecommons.org/licenses/...
Speaking of attribution:
The music is "A remedy for melancholy" by Kai Engel, distributed under a CC-BY license via the Free Music Archive. freemusicarchive.org/music/Kai...
The chicken is from a public domain contribution to www.blendswap.com/
This channel is just a treasure buried in the sea that is youtube. I hope you don't stop uploading videos and that your channel grows to infinity. Superb content, just astounding, terrific.
So many adjectives :S
Much like population, subscribers level out eventually.
i found this treasure and don't know how
@@darkkrafter You and me both.
@@tenv And the more subscribers a channel gets, the more views it gets, and the more is recommended to even more people.
So it grows exponentially.
Finally the CZcams algorithm suggests some really nice channels. Like this one. Just one video watched and subscribed. Quality beats quantity. This how it should be.
I used the algorithm to find the algorithm
I was looking for AI playing games 😶
but nothing in six months is taking it to far
@@slickgamer-qf9dy What a fucking coincidence, My God.
@@memeboi6017 People can do what they need to, and quality content is worth the wait. To add on to that, if they are taking time on their videos then it means it will beither longer, or have better quality.
Can we just talk about how this man not only made a very very very minor error in part of one of his past videos and is apologizing for it, but the fact that he apologized better than any youtube apology video ever. Like, I wasn't even disappointed or upset that he made that mistake, yet, I feel inclined to accept the apology for something that doesn't even need one. I must say, props to you Primer! Keep up the amazing content!
His name is justin BTW
@@DinoltrxOfficial Actually, I kinda did wanna know what his name is, so that I could properly call him something.
@@DinoltrxOfficial and nobody asked you to pull out mediocre insults for no reason whatsoever. It doesn’t make you funny or cool to do this, you’re just being a nuisance.
@@DinoltrxOfficial That was related to the comment. Waht are you talking about?
@@DinoltrxOfficial fool
Man, when those simulations mapped perfectly onto the exponential prediction I got the chills...maths truly is the language of the universe!
Read some “Limits to Growth”, that’ll give you a hint on an unavoidable impending doom.
It‘s more like the language we use to speak with the Universe. So it’s like the language the universe and we have in common.
Music too I guess
VortechBirb Music is just a bunch of random sounds that somehow affect the way humans act and feel
@@colinwilliams3459 I laughed but.. Music is maths... There's a lot of math in music.. It is not just random btw
Please upload more frequently! You have no idea how impatiently I waited for this second video!
Thanks! I'm still building out the software part and figuring out the most efficient workflow, but videos should come out progressively more frequently as time goes on.
@@PrimerBlobs a higher replication rate I presume
Quality beats quantity. I am willing to wait for months to get a good video.
@@erikziak1249 agreed, it takes a long time to make this kind of quality in a video.
@@potatozz7408 It's like Alan, who creates brilliant animations, but took a very long time to develop the masterpieces
Let's just all admire the animation skill that went into making this video
2040: So now we will be teaching our blobs how to apply quantum physics in everyday life.
imagine if he actually did THAT very thing in 2040, probably wont happen. BUT we can never be sure...
get him to 1,000,000 subs! (993k [live])
2050:so now we will be teaching our blobs how to code and create simulations for now we will be using blobs but we may change later
To be honest, they already have a government and a city in 2021, I wouldn’t be surprised if that happened
take his upload schedule into count
Well brother, this channel is gona soon to touch million subscribers i.e. by high replication inducing quality videos
And I'll put myself here in this amazing science channel comment section.
It would appear that the replication chance and death chance have similar odds, as they currently aren't growing all too often.
Soon
It literally will Tomorrow :D
I am here after it happened
Equilibrium; perfectly balanced as all things should be....
Was looking for this
You are not the only one cursed with knowledge
You are a bold one, mr ken mc donald
Many people believe perfection is when something is 100% good. But that is an unrealistic view of life. Perfection is Equilibrium and it only lasts for so long.
That sounds like Thanos 😂
Life: No one understands me, I'm an unsolvable mystery!!!
Primer: Hold my blob.
Some biology classes teach these things if you are intrested
Good video man, I'm loving this framing of creating a mathematical model of evolution. Keep up the good work :)
I'll never understand why people would dislike videos like this. Then I remember the words "statistical fluctuations" and I feel safe again
Hi I notice I'm one of the 30 people who disliked and I can provide at least one answer to your question. You may not like it but it's just an opinion. The video is easy enough to comprehend but I find the way he gets his points across convoluted - picking a simple enough mathematical concept and over-complicating it unnecessarily. I see that often in classes and teachings and it irks me.
Edit: Then you can go into "oh but is that enough to devoid the video of any merit" absolutely not but the like/dislike is just that, not that big of a deal, and I disliked it for the above reason.
@@cello1993 Just a quick personal thought here (sorry if it offense you), but it seems like he's trying to introduce the math concept that he'll inevitably use in future videos, by applying it right from the beginning. Therefore, when he introduce something more complex, he can just talk about the new stuff and add it to the equation, instead of bringing out a super weird-looking complex equation all of a sudden and explaining everything. That's a friendlier approach, don't you think ?
Every one that disliked beleives the earth is 6000 year old
I just found a young earther
Dislike bots are made to dislike everything in order to not be thought to be bots... Probably
Man I want to play with this sim. You could develop it into a game
Xavier Cockerton i would play...
This should be an idle game
Thought that too
This series sort of reminds me of this national geographic natural selection game i played when i was younger. This obviously goes more into depth but it was still the basic concepts of figuring out what traits gave your species an advantage
You can, he has his code posted on GitHub: github.com/Helpsypoo/primer
It was weird to realize there were only like 10 videos on this channel, this just seemed like a channel that would have dozens if not hundreds of these little educational simulations I love!
This is really good content, hope to see more of it in the future.
Me too! :D
If anyone is confused about how the growth rate translates into a population graph, take note that the growth rate equation is a differential equation
y' = B + (R - D)y.
If you work out the math for it, you will find that the population equation is
y = B / (D - R) + ce^(R - D)t,
where t is time and c is some constant. Note that y is actually a family of functions, so there are infinite possible equations that fit this curve with different c values. To find c, we would need to know the value of y at some time t. If we assume the population is 0 at t=0, then c = - B / (D - R) = B / (R - D). It doesn't really matter that much though.
We can explore the three cases of D > R, D = R, and D < R using this equation.
If D > R, then the exponential term has a negative exponent. A property of such exponential terms is that they approach 0 as t goes to infinity. This leads to the equilibrium state described in the video, where the population will stabilize at B / (D - R) individuals.
If D = R, then the curve is flat at B / (D - R) + c.
If D < R, then you get a positive exponent and exponentially increasing growth.
Thank you, i was really confused because after the video i couldn’t understand why the growth rate was exponential, and not quadratic, yet you explained this well. Guess i should brush up on my calc skills...
Those videos are so informative ! Hope more people will get to discover and learn from them.
I've never thought about those simple relations, that can produce radically different behaviors. Thank you!
The evolution model is going to be interesting. Looking forward to the next episode.
You do this amazingly well, it so easy to understand. The graphics are nice and the graphs are easy to read. Very impressed, good content 10/10.
I love how subtly you’re introducing concepts of differential equations without actually getting into DE’s. Complex topics explained so simply.
I love the background music it makes me chill so much while learning more about life, thanks Primer blob, keep up the good work!
I only found your channel today but it is truly a hidden gem of CZcams! I’ve already watched like 8 videos and am subscribed. Great content!
I’m looking forward to the rest of this series. Good job!
holy cow this is so soothing??? Subscribed and excited for more!
He is back
His voice is just so soothing and calming. Makes even the difficult topic less daunting
Man, I love this channel! Please continue making videos!
I love your channel never quit!
Excellent videos! Loving your series
I love your series ! ... the content, animation and tune in the background ...
I just discovered this channel and it's just amazing!
Your Videos are amazing! Keep it going.
Just found this amazing channel, i love this type of content!!!!
I've watched several of these for the past couple of months, and everything you day makes more sense than any of my classes
I watched one video and I subscribed, this channel is awesome, hope you keep making these videos.
Amazing channel. I feel so blessed to have found this channel
I fell in love with this channel, I hope you reach 1 million soon
I feel like you could use this series as an introduction to calculus. Great videos ! :)
This content is truly gold! You explained differential equations and solutions to differential equations, without actually going into the depths of calculus! But instead, you made it intuitive. Even more importantly, you used simulations to show that real world examples are not as neatly packaged as the precise equations; there is randomness and chaos.
What a nice way to teach people about differential equations, without them realising it! That's some quality content!
It's really interesting how you got to make qualitative analysis of differential equations *without* the need to introduce any derivative. Kudos for that.
Awesome content bro.Please keep uploading
I love this channel, keep it up👍🏻
amazing series :D I love the animation !
Dude please keep up the good work. These videos are extremely impressive for an independent creator. I can't believe you don't have more success yet.
When you showcased the replication rate being equal to the death rate and when it’s greater, I noticed the function graph integrates to the population graph which is so cool, my face lit up when I realized that connection
Someone linked one of your videos on reddit, and now I'm in full binge mode. Your presentation reminds me a lot of 3B1B, here's hoping you get a similar subscriber count soon!
Came from 3B1B, stayed for the great content.
Great video as always please keep making more videos
Thank you so much for such a wonderful video
You are awesome. Definitly going to show some of your videos in my science class :)
I just discovered this series and I'm using it to help me create species for my stories more logically
Totally just realized while watching that this could be nicely modeled with a Markov chain. Are you going to get into higher-level stuff like that later, or stick with these basics?
Thanks for the video - really cool channel, I'm excited to see where it goes! Subscribed.
Thanks for the sub! For now, I'm planning to keep using sims as a tool but not make any videos directly about the sim methods. It's an interesting idea to make a video about that, though, since building the sim is a great way to deeply understand the system. I'd be interested to see an implementation of this that uses a Markov chain. If you end up building something like this, it could be cool to discuss on the subreddit. If you want to look at my code, it's on github: github.com/Helpsypoo/primer. I warn you, though, it's a bit spaghetti and doesn't have a readme yet.
Nice videos! I love mathematical biology and it's great to see you tackling this topic this way.
I love all your sims on Khan Academy!
really interesting video, subscribed! :)
very stylish video, love it
Almost at 1million! Great channel
Holy shit, how is content this good this unknown? God damn
The music is so good as well. What a pleasure to wstch
Literally the best channel I have come across since stampycat when I was 8
for The RSLW
SALUTE!
(Republic of Stampys Lovely World)
I love this so much. Keep making videos, this is a rare treasure of the CZcams algorithms
I could watch these for hours I love biology please don’t stop
The music in the background is a banger. Love it
What program do you use to code the simulation? Love the videos btw.
Good content. Keep up the good work!
These are superb.
The thumbnail with the blob going up the exponential curve like a rollercoaster is just perfect
I have watched these videos over and over then stopped and came back right now at my 7th grade. Pretty cool finding some things froms school ( the triangle meaning the change between two parameters for example)
amazing! thanks
Ay man try and upload more. this one of the best channels btw
this series is really cool
Just discovered your videos, watched through them all. Commenting to aid the algorithm
If I told my child self that my future would be sitting in front of a screen watching blobs populate instead of a higher purpose, I would be surprised too
When you say it, it makes so much sense. You show how the different rates of birth death and spontaneous growth levels it self out even when the death in higher, but if the spontaneous rate were to be 0% than you would have to have the birth and death ratio the same or it will loose control. But if the growth is too high obviously like your other video it will start to level its self out but due to different mutations can change population but maintain a ongoing civilisation. Man your smart!!! I would love to see more!!!!
This man is out here teaching calculus. This is one of the greatest channels.
sadly everyone else prefers seeing dommed shit like pewdiepie
PS, im subscribed from 2 years ago
I just found this channel, and I find it oddly relaxing.
This so interesting yet educational
Really smooth
Good work bro
you are probably the smartest CZcamsr ever and you deserve more views
One of the best channels of youtube
Great vid!!
Wonderful!!
I love this, thank you
Hello, Can you share the source code of your simulations? I am interested in knowing your techniques. Ty. PD: Excellent videos. One of the best channels!.
Nice video!
Just discovered this channel ... totally love it ... love the background music ... but a slight adjustment to the music volume ... just a tad too loud .... but otherwise this is just marvelous!
What this channel is is the beginning stages of simulation theory, a whole field of study in the near future, it's practical use will help us learn economics, human behavior, health, and many other applications. This will be highly beneficial for all of us.
excellent educational videos. I hope this brilliant content helps you reach your goal.
Will you eventually add into the model the concept of the Death Rate itself changing as the number of creatures changes? Basically like logistic growth?
Yes! I was actually planning to put that in this video when I was originally outlining it, but I ended up deciding to split it up. It'll be in the next video or the one after.
Cool!
My only complaint is that the background music sounds like my old alarm sound and I’m getting PTSD.
Other than that, I think this channel is a hidden gem buried in the depths of boring repetitive content of CZcams
how does this only have 10k views
Talking about exponential growth, 1 day later ands its 32k. This guy is going to be deservedly big.
And now it got 512k
@@YituTG AAAAHHHH ITS 692K!!
0:30 - my favorite sentence in this video.
Thanks!
Nice job sneaking in some differential equations
I’m watching the ads in full. Because I really like your videos. I hope it helps.
Primer: This is called extinction, it’s over for those creatures
Aldabra Rail bird: cha cha real smooth
Hey! What are the algorithms you use for running these simulations?
Also, great videos! Thanks a lot.
There is a (painfully disorganized) github repo in the description.
This is together with Kurzgesagt how all of CZcams should look like (I know that there are a lot of very good channels, and not all of them are educational, but I like this kind of videos the most)
I honestly wish you were my 8th grade science teacher. You make me interested and want to learn science and math even though it's 12am, you also make it more memorable and you not a blatantly obvious a perv!
This is beautiful