System Zoo Z106: Simple population dynamics from System Zoo 1 by Hartmut Bossel
System Zoo Z106: Simple population dynamics
System Zoo Z101: Single integration from System Zoo 1 by Hartmut Bossel
System Zoo Z101: Single integration
Z205 from System Zoo 1 p95-98
Chaotic Bistable Oscillator
System Zoo Z103: Exponential growth and decay from System Zoo 1 by Hartmut Bossel
System Zoo Z103: Exponential growth and decay
Z207 from Hartmut Bossel System Zoo 1 p103-107
After running the default settings Bossel describes A=0.2, B=0.2, Initial Values X=0 Y=2 and Z=0 and varying C=2,3,4,5 shows period doubling and transition to chaotic behavior
Rossler Chaotic Attractor
Z203 from System Zoo 1 p88-90
Brusselator
Exploring the conditions of permanent coexistence, rather than gradual disappearance of disadvantaged competitors. Z506 p32-35 System Zoo 3 by Hartmut Bossel.
Competition for Resources
System Zoo Z112: Double integration and exponential decay from System Zoo 1 by Hartmut Bossel
System Zoo Z112: Double integration and exponential decay
System Zoo Z415 Resource extraction and recycling from Hartmut Bossel (2007) System Zoo 2 Simulation Models. Climate, Ecosystems, Resources
Smaller initial stock, bigger demand, and lower depletion of a nonrenewable resource.
For some important resources the almost nent within the next few decades. Estimates not be based on current consumption rate must account for the probable increase of tion of' "dynamic life time", which can be share will accelerate the
exhaustion of stocks is immi- "life time" of resources must a "static" life time index) but rate. This leads to the calcula-shorter than the static life time. Calculation of static and dynamic life time can at best serve to determine the bounds of actual life time of a resource. As a resource becomes scarce, its consump- tion must approach zero thus lengthening the calculated life time. The relative amount of remaining resources, i.e. scarcity, will therefore determine the development of the consumption rate. If material is recycled, it is important to know how quickly a product is scrapped and material is returned to the production process. A model de-scribing the dynamics of nonrenewable resource use must account for these processes.
Clone of REM 221 - Z415 Resource extraction and recycling
Attempting to outdo an opponent leads to escalation. A weaker response leads to De-escalation. A slightly more complex form of Insight 972. Z508 p36-38 System Zoo 3 by Hartmut Bossel.
Escalation
System Zoo Z412 Tourism Dynamics from Hartmut Bossel (2007) System Zoo 2 Simulation Models. Climate, Ecosystems, Resources
REM 221 - Z412 Tourism Dynamics
Based on the Market and Price simulation model in System Zoo 3, Z504. In this model the profit calculations were not realistic. They were based on the per unit profit, which does not take items not sold into account. Also the model was not very clear on profit since it was included in the total production costs and consequently in the unit costs and subsequently profit was calculated by subtracting unit costs of the market price. Thus profit had a double layer which does not make the model better accessible. I have tried to remedy both in this simplified version.
Simplified and changed Z504 Market and Price - System Zoo 3
Based on the Market and Price simulation model in System Zoo 3, Z504. I made some more intrusive changes that make the model more realistic, or more 'economic', in another version 'simplified and improved'.
Simplified Z504 Market and Price - System Zoo 3
Z209 from Hartmut Bossel's System Zoo 1 p112-118. Compare with PCT Example IM-9010
Balancing an Inverted Pendulum
This models the progressive decline of the ability for self-reliance and the growing dependence on outside help. Z508 p39-42 System Zoo 3 by Hartmut Bossel. Strong outside help causes a collapse of self-help capacity. Weak outside help produces a stable combination of wellbeing and self-help capacity.
Dependence
System Zoo Z404 Prey and two Predator Populations from Hartmut Bossel (2007) System Zoo 2 Simulation Models. Climate, Ecosystems, Resources
Often a single prey population is the source of food for several competing predators (e.g. mice as prey of foxes and birds of prey). Here again a reliable intuitive assessment of long-term development resulting from the particular system relationship is impossible. A simulation model can assist in recognizing development trends inherent in the system structure even if in reality a variety of other factors determine the development and may cause it to proceed on a somewhat different path.
REM 221 - Z404 Prey and two Predator Populations
System Zoo Z109: Logistic growth with constant harvest from System Zoo 1 by Hartmut Bossel
System Zoo Z109: Logistic growth with constant harvest
Systems Zoo model Z308 Forest Dynamics (Bossel, 2007)
Bossel: Z308 Forest dynamics
Z204 from System Zoo 1 p91-94
Bistable Oscillator
Systems Zoo model Z305 Carbon balance of forests (Bossel, 2007). This implementation does not include human use of fuelwood and timber.
Systems Zoo Z305: Carbon balance of forests
System Zoo Z111 H Bossel p47 a variant of Michaelis Menten Enzyme Kinetics. See also IM-854 for Hannon and Ruth and IM-855 for receptor version and IM-856 for a bond graph view
Density Dependent Growth (Michaelis-Menten)
Insight Maker model based on the Z415 System Zoo model originally developed in Vensim. Adaptation of this model. The adaptation involves adding sliders to improve interaction with the model.
This model does not include findings of additional resource reserves. In that respect it is static.
Adaptation of System Zoo Z415 Resource Extraction and Recycling
Thanks to
https://insightmaker.com/insight/1830/Rossler-Chaotic-Attractor
for this example of chaos, and the transition to chaos. "After running the default settings Bossel describes A=0.2, B=0.2, Initial Values X=0 Y=2 and Z=0 and varying C=2,3,4,5 shows period doubling and transition to chaotic behavior."
We're looking into environmental applications in our course, and how dramatically dynamics can change, based on a small change in parameters. Climate change "suffers" this chaotic behavior, we fear, and we're going to be "taken by surprise" when the dynamics changes on us suddenly....
Andy Long
The Rossler Chaotic Attractor
Model 409a from Bossel "System Zoo 2". I have added some stochasticity to to the population specific growth rate.
A Simple Fishery
