The Logistic Map is a polynomial mapping (equivalently, recurrence relation) of degree 2, often cited as an archetypal example of how complex, chaotic behaviour can arise from very simple non-linear dynamical equations. The map was popularized in a seminal 1976 paper by the biologist Robert May, in part as a discrete-time demographic model analogous to the logistic equation first created by Pierre François Verhulst. 

Mathematically, the logistic map is written

where:

 is a number between zero and one, and represents the ratio of existing population to the maximum possible population at year n, and hence x0 represents the initial ratio of population to max. population (at year 0)

r is a positive number, and represents a combined rate for reproduction and starvation.

To generate a bifurcation diagram, set 'r base' to 2 and 'r ramp' to 1
To demonstrate sensitivity to initial conditions, try two runs with 'r base' set to 3 and 'Initial X' of 0.5 and 0.501, then look at first ~20 time steps

Environment Economics Fractals Chaos Mathematics Population

Migration Rate​https://www.indexmundi.com/russia/net_migration_rate.html
https://www.cia.gov/library/publications/the-world-factbook/fields/2112.html

Population Biology

Influence of migration on the number of working-age population.

Population Employment Migration

This simulation examines carrying capacity, based on a given cropland input in acres.

Population Energy Urban

Populationplanner Switzerland
Actual Birthrate: 10.5 / 1000
Death​rate: 7.8 / 1000

Birth Death Population TEST_FB

Population

Here we model the population of France given data between 1960 and 2013 from Worldbank.org. We used the crude birth rate and crude death rate for every 5 years since 1960 to 2005, and the rates every year from 2005 to 2013. To forecast, we used the slope of the net birth rate to calculate when the net birth rate would be zero, and used this year for our birth and death rates to are equal to zero.  We assumed no net movement of people into or out of France. We add that at any given time, our knowledge of the birth and death rates is not accurate, where our rates vary with a standard deviation equal to the standard deviation in the rates from 1960 to 2013

Population Growth

Population Introductory

Population

Population Industrial Economy

This is a basic population estimator. Default values approximate recent data for Poland.

Population Demographics

Population divided into Youth Adult and Elderly

Health Care Population

Birth Rate​
https://www.irishtimes.com/news/ireland/irish-news/baby-boom-puts-ireland-top-of-eu-birth-rate-table-1.3150045
Death Rate
https://www.google.com/search?q=ireland+death+rate&rlz=1CADEAC_enUS712US712&oq=ire&aqs=chrome.4.69i57j69i60l3j69i59l2.6191j0j7&sourceid=chrome&ie=UTF-8

Immigration Rate
https://knoema.com/atlas/Ireland/topics/Demographics/Population/Net-migration-rate

Emigration Rate
https://www.google.com/search?rlz=1CADEAC_enUS712US712&ei=uJgMWrTmBsuZjwST9ZqABw&q=ireland+emigration+rate&oq=ireland+emigration+rate&gs_l=psy-ab.3..0i30k1j0i8i30k1l4.2635.3926.0.4687.6.6.0.0.0.0.150.700.2j4.6.0....0...1.1.64.psy-ab..0.3.374...33i21k1j0i13i30k1j0i8i13i30k1.0._x0RnrywMJE

Biology Population

Simulation of how tiger population and anti poaching efforts effect the black market value of tiger organs.

Tiger Population Market Value

Zombie Population

Modelagem do estado psicológico de uma população. Inicialmente, todos os indivíduos estão no estado "Calmo". Com o passar do tempo e com as interações mútuas, há o surgimento e progressivo aumento do total de indivíduos com raiva (estado "Raivoso"). Deste estado e, com o passar do tempo, os indivíduos podem evoluir mentalmente e atingirem o estado "Indiferente", nos quais eles se tornam indiferentes à qualquer interação. Outra possibilidade é o indivíduo se enriquecer e, assim, atingir a felicidade (estado "Feliz").

Population Psychological States Of Mind Interactions

Population is matrix vector:​{Females: {Age1: 5, Age2: 6, Age3: 5, Age4: 3, AgeMore: 1}, Males: {Age1: 4, Age2: 4, Age3: 4, Age4: 1, AgeMore: 0}}
Birth rate is
{Females: {Age1: .49, Age2: 0, Age3: 0, Age4: 0, AgeMore: 0}, Males: {Age1: .51, Age2: 0, Age3: 0, Age4: 0, AgeMore: 0}}

Childbearing Age is {Females: {Age2, Age3, Age4}}
Births Flow is[Birth rate]*sum([Population Rabbits].Females.Age2,[Population Rabbits].Females.Age3,[Population Rabbits].Females.Age4)

Population

Population

Influence of migration on the number of working-age population.

Population Employment Migration

Koala Population Stewardship

This is a simulator of carbon emissions.

Population Demographics

Environment Nature Animal Population

FORCED GROWTH GROWTH GOES INTO TURBULENT CHAOTIC DESTRUCTION 
 BEWARE pushing increased growth blows the system!
(governments are trying to push growth on already unstable systems !)

The existing global capitalistic growth paradigm is totally flawed

The chaotic turbulence is the result of the concept and flawed strategy of infinite bigness this has been the destructive influence on all empires and now shown up by Feigenbaum numbers and Dunbar numbers for neural netwoirks

See Guy Lakeman Bubble Theory for more details on keeping systems within finite limited size working capacity containers (villages communities)

Environment Economics Finance Mathematics Physics Biology Health Fractals Chaos TURBULENCE Engineering Navier Stokes Science Demographics Population Growth BIFURCATIONS MTBF Strategy Weather

Coupled Population-Housing Dynamics Model

Population Carrying Capacity