Population Simulator - 물류지도 - 4+
생태와 생물학 로지스틱 사상 와 인구 모델 시뮬레이터
TAIKI HIRATA
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설명
"Population simulator" is an application to visually see the changes in the population by using "Logistic Map".
"Population simulator" is an application to visually see the changes in the population by using "Logistic Map".
You can see the change in the population by the Logistic Map by a line graph and colony size.
You can observe the variation pattern of population variety by changing slightly the initial value.
Logistic Map is not only used in Population Ecology but also considered one of the starting point of Chaos Theory. I developed this app to help people who are studying Population Ecology or Chaos Theory.
*Logistic Map may not necessarily apply to changes in population of actual organisms, because Logistic Map is a model of a simple change of the population.
■What is Logistic Map?
The Logistic Map is the map that is generated from the Logistic Function that has been devised as a variation model of the population of an organism.
It is expressed by the following function.
X(n+1) = a・X(n)・(1-X(n))
In the above equation, the meaning of each symbol is as follows.
・n:Generation (n=1,2,3,...)
・X(n):Value obtained by normalizing the Population of Generation n-th(0≦X(n)≦1)
・a:Value obtained by normalizing the Reproductive Rates(0≦a≦4)
You can calculate the population of the next generation from a population of a certain generation by using this function. In addition, You can predict the variation of the population over the long term by calculating the population of individuals repeatedly in this function.
■Pattern of Logistic Map
Logistic map vary widely depending on the value of "a".
・In case (0≦a≦1) : X(n) converges to 0.
・In case (1<a≦2) : X(n) converges to 1-(1/a).
・In case (2<a≦3) : X(n) converges to 1-(1/a) while oscillating.
・In case (3<a≦3.5699456・・・) : X(n) oscillate between the periodic point individual Power of 2
・In case (3.5699456・・・<a≦4) : X(n) Change irregularly.(Chaotic region)*It may become periodically by the value of a.
Please try to observe the changes of Logistic Map by changing the various initial values.
■Main function of App
1. Simulation of changes in colony size
2. Line graph of changes in population
3. Output CSV file(Need to purchase add-on.)
4. Output Graph Image(Need to purchase add-on.)
새로운 기능
버전 2.0
・Supported iOS16.
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정보
- 제공자
- TAIKI HIRATA
- 크기
- 5.2MB
- 카테고리
- 교육
- 호환성
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- iPhone
- iOS 15.0 이상 필요.
- iPad
- iPadOS 15.0 이상 필요.
- iPod touch
- iOS 15.0 이상 필요.
- Mac
- macOS 12.0 이상 및 Apple M1 칩 이상이 탑재된 Mac이 필요.
- Apple Vision
- visionOS 1.0 이상 필요.
- 언어
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영어, 일본어
- 연령 등급
- 4+
- 저작권
- © TAIKI HIRATA
- 가격
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- Add Output Function ₩1,100