I’ve watched all your videos and really love them, and I just sort of assumed you were a pretty popular channel. It’s only occurred to me just now that you haven’t even reached 500 subs and I think that’s absolutely criminal! Keep up the great work! I think you’ll find your foothold soon and take off like a rocket!! 🚀
That's the highest score I've seen so far, very well done. I'd love it if you joined our discord and discussed your thought process with the other members.
Questions: 7:14 How does random change in total population size mean that it must become zero over time? 13:12 Is there a name for this? 14:57 Is there a general formula for this set up?
ruclips.net/video/GDyoGl-QRcs/видео.htmlsi=y_ERtGQt--ZD-pcz I do explain it more in depth in this video. That video is about fixation, not extinction, but the general concept is the same. As an intuitive example, imagine you have 10 marbles and a coin. You're playing a game with a friend where you flip the coin: if you get tails he gives you a marble, if you get heads you give him a marble. His dad is filthy rich, so he has essentially infinite marbles. If you play that game for a short time, you maybe win or lose a few marbles. But if you play for long enough, you will eventually, statistically, run out of marbles. Mathematically, you would say that, as time approaches infinity, your probability of having had 0 marbles at any point approaches 1. And if you ever reach 0 marbles, you can't keep playing. The technical name for this process is a random walk. There are some few nice articles about it. Because you accumulate variance with each stochastic event (each "step" in the random walk), the probability of you hitting any specific point increases with you increasing the number of steps you take. 0 is just one of those points, with the only particularity being that it ends the game. The more you play, the higher your cumulative chance of reaching it. If you prefer it, though, I prefer just trying these things in a simulation so you can actually SEE them. The video linked above has some, but you could easily code the coinflip example I outlined above in, like, 10 minutes. If you want to read about these of effects in nature, they occur mostly in allele competition. I would personally recommend the book 'Evolution' by Mark Ridley, the section on Population Genetics. It's a great into to population genetics (better than a youtube comment anyway) and might help make sense of the way to apply the statistics to an evolutionary system.
12/15 Embarrassingly low for someone with an msc in genetics, especially as evolutionary genetics was one of my strong suits in university, but as you said, not even you got a perfect score and I could tell these were things I would really want to simulate to check.
It can be a little bit unintuitive if you're used to the theory, but not to seeing it play out in a simulation, especially in such a simplified (and different from any real ecosystem) case. Hope you enjoyed :) I added you to the leaderboard. Let me know if you do more puzzles and I'll update your score
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This could’ve saved me if this was released a year ago 😢
Science was so hard 😭
I’ve watched all your videos and really love them, and I just sort of assumed you were a pretty popular channel. It’s only occurred to me just now that you haven’t even reached 500 subs and I think that’s absolutely criminal!
Keep up the great work! I think you’ll find your foothold soon and take off like a rocket!! 🚀
Thank you! These videos take a lot of work to make and I really appreciate all the love I receive.
i love the effort you put into your videos, criminally underrated
Prof makes me water his plants
Are you being paid for doing that since you're his assistant?
He gets compensated fairly for his efforts.
*ProfsAssistant can no longer reply to comments in this thread*
Loved the video. I got 10 points!
Engagement for the algorithm
great video. thanks for your work.
Algorithm boost! These are so high quality, I'm shocked that you don't have more hype.
The love from fans like you is what fuels these videos
This is an amazing concept for a video series and I am so excited for more.
I got a score of 14, only getting wrong with not realizing end of day for the last question
That's the highest score I've seen so far, very well done. I'd love it if you joined our discord and discussed your thought process with the other members.
Questions:
7:14 How does random change in total population size mean that it must become zero over time?
13:12 Is there a name for this?
14:57 Is there a general formula for this set up?
ruclips.net/video/GDyoGl-QRcs/видео.htmlsi=y_ERtGQt--ZD-pcz I do explain it more in depth in this video. That video is about fixation, not extinction, but the general concept is the same.
As an intuitive example, imagine you have 10 marbles and a coin. You're playing a game with a friend where you flip the coin: if you get tails he gives you a marble, if you get heads you give him a marble. His dad is filthy rich, so he has essentially infinite marbles.
If you play that game for a short time, you maybe win or lose a few marbles. But if you play for long enough, you will eventually, statistically, run out of marbles. Mathematically, you would say that, as time approaches infinity, your probability of having had 0 marbles at any point approaches 1. And if you ever reach 0 marbles, you can't keep playing.
The technical name for this process is a random walk. There are some few nice articles about it. Because you accumulate variance with each stochastic event (each "step" in the random walk), the probability of you hitting any specific point increases with you increasing the number of steps you take. 0 is just one of those points, with the only particularity being that it ends the game. The more you play, the higher your cumulative chance of reaching it.
If you prefer it, though, I prefer just trying these things in a simulation so you can actually SEE them. The video linked above has some, but you could easily code the coinflip example I outlined above in, like, 10 minutes.
If you want to read about these of effects in nature, they occur mostly in allele competition. I would personally recommend the book 'Evolution' by Mark Ridley, the section on Population Genetics. It's a great into to population genetics (better than a youtube comment anyway) and might help make sense of the way to apply the statistics to an evolutionary system.
@@professor_ghost Could we name it the "Random Walk of Doom"?
@@4984christian Most certainly what it is
12/15 Embarrassingly low for someone with an msc in genetics, especially as evolutionary genetics was one of my strong suits in university, but as you said, not even you got a perfect score and I could tell these were things I would really want to simulate to check.
It can be a little bit unintuitive if you're used to the theory, but not to seeing it play out in a simulation, especially in such a simplified (and different from any real ecosystem) case. Hope you enjoyed :)
I added you to the leaderboard. Let me know if you do more puzzles and I'll update your score
@@professor_ghost Thank you
I got 9 points and as launch said. How is this channel having only under 500 subs? ._.
I guess the amount of videos (not that I blame you. These probably take time, but it's probably the reason)
Yes, I think you're probably right. I expect we'll start getting more people once I manage to start uploading at a more decent frequency :)
If I was a science teacher I’d play this video and do it with my class