Chapter 2: A Brief Visit to the Systems Zoo

tis systems-thinking archetypes feedback-loops delays

Status: Notes complete


Overview

A tour of common system archetypes grouped by structure. Systems with similar feedback structures produce similar dynamic behaviors — even when outward appearances differ completely. Like a zoo: separated for clarity, but in reality they interconnect.

“Systems with similar feedback structures produce similar dynamic behaviors, even if the outward appearance of these systems is completely dissimilar.”


One-Stock Systems

1. Two Competing Balancing Loops — The Thermostat

Structure: One stock (room temperature) pulled by two balancing loops:

  • Heating loop: furnace pushes temperature toward thermostat setting
  • Cooling loop: heat leaks out toward outdoor temperature

Behavior: Stock settles slightly below (or above) the exact goal because one loop always drains while the other fills.

Key principle: The information delivered by a feedback loop can only affect future behavior; it can’t correct behavior that drove the current feedback. There is always a response delay.

Practical implication: In any stock-maintaining system with a competing drain, set your goal slightly higher than your actual target to compensate for what drains away while correcting. (Hiring to replace turnover, paying off a credit card while interest accrues.)

Breakdown point: Every balancing loop has a breakdown point where competing loops become stronger. Beyond this, the system fails (a room gets cold on a very frigid day with poor insulation).


2. One Reinforcing + One Balancing Loop — Population & Economy

Structure: Two opposing loops on one stock:

  • R loop: births → population grows → more births (exponential growth)
  • B loop: deaths → population shrinks

Behavior depends on which loop dominates:

  • R dominant → exponential growth
  • B dominant → exponential decline
  • Equal strength → dynamic equilibrium
  • Shifting strengths → S-curves, oscillations

Economy analog: Capital stock = population; investment = births; depreciation = deaths. Identical feedback structure → identical behavioral repertoire.

“Dynamic systems studies usually are not designed to predict what will happen. Rather, they’re designed to explore what would happen, if a number of driving factors unfold in a range of different ways.”


3. Balancing Loops with Delays — Business Inventory

Structure: Inventory maintained by two balancing loops (sales drain, deliveries replenish), plus three delays:

  • Perception delay: averaging sales over 5 days before reacting
  • Response delay: making up shortfalls over 3 days rather than all at once
  • Delivery delay: 5 days from order to delivery

Behavior with delays → oscillations. A 10% step up in sales causes:

  1. Inventory drops
  2. Owner waits to confirm trend (perception delay)
  3. Orders increase — too much, due to accumulated deficit
  4. Deliveries surge in → inventory overshoots
  5. Owner cuts orders → inventory drops again
  6. Cycle repeats

Counterintuitive lesson: Reacting faster (shorter perception delay) makes oscillations worse. The fix is reacting more slowly (longer response delay gives the system time to settle).

“A delay in a balancing feedback loop makes a system likely to oscillate.”

Business cycles: Scale this up to entire industries with perception/production/delivery delays plus reinforcing loops through employment and speculation → primary cause of business cycles. Business cycles don’t come from presidents; they come from this structure.


Two-Stock Systems

4. Renewable Stock Constrained by a Nonrenewable Stock — Oil Economy

Structure: Capital stock (R growth loop + B depreciation) extracting from a finite, non-renewing resource. As resource depletes, yield per unit of capital falls, reducing profits, slowing investment, eventually causing collapse.

Key dynamics:

  • Extraction follows exponential growth → resource depletes far faster than intuition suggests
  • Doubling trap: a 200-year supply at constant extraction might last only 40 years under 5% annual growth
  • Doubling the resource gives only ~14 additional years before collapse

“A quantity growing exponentially toward a constraint or limit reaches that limit in a surprisingly short time.”

Nonrenewable resource rule: Stock-limited. The entire stock is available at once but cannot be renewed. Faster extraction = shorter lifetime.

Counterintuitive: Higher prices → more capital investment → faster depletion (higher prices accelerate the fall, not slow it).


5. Renewable Stock Constrained by a Renewable Stock — Fishing Economy

Structure: Capital (fishing fleet) harvesting a renewable resource (fish), where fish can regenerate but only at a finite rate.

Three possible outcomes depending on how quickly balancing feedback (falling fish → lower profit → less investment) kicks in:

  1. Overshoot → equilibrium: feedback fast enough; fleet levels off sustainably
  2. Overshoot → oscillation: technology delays feedback slightly → instability
  3. Overshoot → collapse: technology so efficient that profit remains positive even at very low fish density → fish collapse, industry collapses

Counterintuitive: Improving fishing technology (sonar) seems beneficial → makes collapse more likely. High leverage, wrong direction.

Renewable resource rule: Flow-limited. Can support harvest indefinitely only at ≤ regeneration rate. If extracted beyond regeneration rate long enough, may drop below a critical threshold and effectively become nonrenewable.


Summary: Zoo Taxonomy

System typeKey structureCharacteristic behavior
Single balancing loopGoal-seekingHoming, equilibrium
Single reinforcing loopSelf-amplifyingExponential growth or collapse
R + B loopsCompetingGrowth, decline, or equilibrium depending on dominance
Two B loops, one stockCompeting goalsNear-goal oscillation, breakdown points
B loops + delaysTime lagOscillations, overshoot
R loop + nonrenewable resourceDepletionOvershoot and collapse
R loop + renewable resourceRegeneration limitedLeveling, oscillation, or collapse

Last Updated: 2026-05-30