Population Simulator

Population Simulator

Study Ecology By Logistic Map

FreeOffers In-App Purchases

2.0for iPhone, iPad and more
5.2 MB
Apr 25, 2023
Update Date
Age Rating
Age Rating
Apps in this category do not contain restricted content.
Apps in this category may contain mild or occasional cartoon, fantasy or real-life violence, as well as occasional or mild adult, sexually suggestive or horrifying content and may not be suitable for children under 9 years of age.
Apps in this category may contain occasional mild indecent language, frequent or intense cartoon or real-life violence, minor or occasional adult or sexually suggestive material, and simulated gambling, and may be for children under 12 years of age.
You must be at least 17 years old to access this App.
Apps in this category may contain frequent and intense offensive language; Frequent and intense cartoon, fantasy or realistic violence: frequent and intense adult, scary and sexually suggestive subjects: as well as sexual content, nudity, tobacco, alcohol and drugs, may not be suitable for children under 17 years of age.
Population Simulator Screenshots
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About Population Simulator

"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.)
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What's New in the Latest Version 2.0

Last updated on Apr 25, 2023
Old Versions
・Supported iOS16.
Show More
Version History
Apr 25, 2023
・Supported iOS16.
Sep 30, 2021
Support iOS15.
Dec 21, 2020
Updated advertising SDK.
Oct 8, 2020
Support iOS14.
Oct 7, 2019
1. Support iOS13.
2. Support Dark Mode on iOS13.
3. Support screen rotation and multitasking on iPad.
Dec 4, 2018
Support iPad Pro (3rd gen) screen size.
Oct 3, 2018
Support iOS12.
Nov 10, 2017
Support iPhone X screen size.
Oct 10, 2017
Support iOS11.
Aug 23, 2017
Support iOS10
Jul 27, 2016
Support iOS9
Apr 9, 2015
Added CSV file output function.
*If you want to use this function, you need to purchase the Add-on.
Dec 19, 2014
Updated Ad SDK.
Oct 16, 2014
May 29, 2014

Population Simulator FAQ

Click here to learn how to download Population Simulator in restricted country or region.
Check the following list to see the minimum requirements of Population Simulator.
Requires iOS 15.0 or later.
Requires iPadOS 15.0 or later.
iPod touch
Requires iOS 15.0 or later.
Population Simulator supports English, Japanese
Population Simulator contains in-app purchases. Please check the pricing plan as below:
Add Output Function

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