Simulateur de population
Étude de la carte logistique
GratuitOffers In-App Purchases
2.0for iPhone, iPad and more
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Simulateur de population Captures d'écran
About Simulateur de population
"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.）
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.）
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Quoi de neuf dans la dernière version 2.0
Last updated on Apr 25, 2023
Vieilles Versions
・Supported iOS16.
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Version History
2.0
Apr 25, 2023
・Supported iOS16.
1.9
Sep 30, 2021
Support iOS15.
1.8.1
Dec 21, 2020
Updated advertising SDK.
1.8
Oct 8, 2020
Support iOS14.
1.7
Oct 7, 2019
1. Support iOS13.
2. Support Dark Mode on iOS13.
3. Support screen rotation and multitasking on iPad.
2. Support Dark Mode on iOS13.
3. Support screen rotation and multitasking on iPad.
1.6.1
Dec 4, 2018
Support iPad Pro (3rd gen) screen size.
1.6
Oct 3, 2018
Support iOS12.
1.5.1
Nov 10, 2017
Support iPhone X screen size.
1.5
Oct 10, 2017
Support iOS11.
1.4
Aug 23, 2017
Support iOS10
1.3
Jul 27, 2016
Support iOS9
1.2
Apr 9, 2015
Added CSV file output function.
＊If you want to use this function, you need to purchase the Add-on.
＊If you want to use this function, you need to purchase the Add-on.
1.1.1
Dec 19, 2014
Updated Ad SDK.
1.1
Oct 16, 2014
1.0
May 29, 2014
Simulateur de population FAQ
Cliquez ici pour savoir comment télécharger Simulateur de population dans un pays ou une région restreints.
Consultez la liste suivante pour voir les exigences minimales de Simulateur de population.
iPhone
Nécessite iOS 15.0 ou version ultérieure.
iPad
Nécessite iPadOS 15.0 ou version ultérieure.
iPod touch
Nécessite iOS 15.0 ou version ultérieure.
Simulateur de population prend en charge Anglais, Japonais
Simulateur de population contient des achats intégrés. Veuillez vérifier le plan tarifaire ci-dessous:
Add Output Function
$0.99
