Submitted:
08 February 2024
Posted:
12 February 2024
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Abstract
Keywords:
1. Introduction
1.1. High-level Climate Change Problem-Solving: How the system should properly work
2. Mental Models, Lock-in, World Views and Votes
3. Expanding our Mental Models with Systems Thinking and Stock and Flow Modeling
Many dysfunctions in dynamically complex systems are the result of misperceptions in feedback. The mental models people use to guide their decisions are dynamically deficient. Specifically, people generally adopt an event-based, open-loop view of causality, ignore feedback processes, fail to appreciate time delays between action and response and in the reporting of information, do not understand stocks and flows, and are insensitive to nonlinearities that may alter the strengths of different feedback loops as a system evolves [16](p. 305).(
3.1. The Climate System, Tipping Points, and Other Complexities
3.2. Climate Reinforcing Feedbacks
4. Looking Backward to See Ahead: Learning with a Smaller System Analog, A Fishery Prototype Model
4.1. A Stock and Flow Model: A Simple Fishery Prototype
5. Computer Simulation Results
5.1. Scenario 1: A Profitable Fishery with Low Growth Rates
5.2. Scenario 2: Longer Timeframes, Profits and Resources
5.3. Scenario 3: Growth in a Renewable Resource System Inevitably Generates a Crash
6. From Fishery Prototypes to Global Climate Change Decisions
6.1. Initiating Corrections and Rebuilding Fisheries: Lessons for Climate Change
6.2. Theory Blindness, Human Cognition, and Risk
7. Summary and Conclusions: Changing Mental Models
Conflicts of Interest
Appendix A




Appendix B
- Stock & Flow Equations
- (01) Accumulated Discounted Fishery Profit= INTEG (
- discounted fishery profit inflow,
- 0)
- Units: $
- (02) Accumulated Fishery Profit= INTEG (
- total fishery profit inflow,
- 0)
- Units: $
- (03) adjusted price=
- MIN(Current Mkt Price * "supply(Q) effect on price", max price)
- Units: $/fish
- Max price keeps the adjustment within a restricted zone of
- reasonable prices. Due to competition and substitute products,
- prices can only adjust so high. Outside market forces and
- competition will drive down the market price, especially with
- competition from Aquaculture.
- (04) base case switch=
- 1
- Units: Dmnl
- base case = 1, and we start the simulation with several vessels
- and then allow the investment to start at year 10. other cases =
- 0, when the switch is set to off, we allow investment from the
- start.
- (05) "biomass add, new fish"=
- "growth, regeneration rate, NL"
- Units: fish/Year
- (06) catch per ship=
- normal catch per ship * "effect of fish density on catch per ship, NL"
- Units: fish / ship / Year
- (07) Current Mkt Price= INTEG (
- price changes,
- initial mkt price)
- Units: $/fish
- (08) discount rate=
- 0.1
- Units: Dmnl
- 10% cost of capital, or discount rate.
- (09) discounted fishery profit inflow=
- total profit/(1+ discount rate)^(Time/"std. time")
- Units: $/Year
- (10) "effect of catch per ship on desire to grow, NL" = WITH LOOKUP (
- catch per ship,
- ([(0,-0.6)-(25,1)],(0,-0.48),(2.5,-0.45),(5,-0.37),(7.5,-0.27),(10,0),(12.5
- ,0.64),(15,0.9),(17.5,0.995),(20,0.995),(22.5
- ,1),(25,1) ))
- Units: Dmnl
-

- (11) "effect of fish density on catch per ship, NL" = WITH LOOKUP (
- fish density,
- ([(0,0)-(1,1)],(0,0),(0.1,0.4),(0.2,0.68),(0.3,0.8),(0.4,0.88),(0.5,0.96
- ),(0.6,1),(0.7,1),(0.8,1),(0.9,1),(1,1) ))
- Units: Dmnl
-
“… and shown below in graphic mode”

- (12) FINAL TIME = 40
- Units: Year
- The final time for the simulation.
- (13) fish density=
- Fish Stock / max fishery size
- Units: Dmnl
- (14) fish harvest=
- MIN(total catch, Fish Stock/TIME STEP)
- Units: fish/Year
- The fish harvest is equal to the computed catch. However, as the
- stock dwindles the biomass is reduced in a smoothed fashion.
- Similar to or based on, "all outflows require first order
- control," [17] (pp. 545-546). Generically, outflow =
- min (desired outflow, maximum outflow), where, maximum outflow =
- stock / minimum residence time.
- (15) Fish Stock= INTEG (
- "biomass add, new fish"-fish harvest,
- initial fish stock)
- Units: fish
- (16) "gap (fleet size)"=
- "goal: desired fleet size" - Ships at Sea
- Units: ships
- (17) "goal: desired fleet size"=
- Ships at Sea * (1 + inclination to expand fleet)
- Units: ships
- (18) growth rate=
- 0.1
- Units: fraction
- base rate = 10% rate of growth’ ... can be used for sensitivity
- analysis.
- (19) "growth, regeneration rate, NL" = WITH LOOKUP (
- fish density,
- ([(0,0)-(1,600)],(0,0),(0.1,50),(0.2,100),(0.3,200),(0.4,320),(0.5,500),
- (0.6,550),(0.7,480),(0.8,300),(0.9,180),(1,0) ))
- Units: fish/Year
-
“… and shown below in graphic mode.” Note: this also corresponds with the expected relationship between surplus production and biomass for the simple Schaefer biomass dynamic model [27] (p. 300).

- (20) inclination to expand fleet=
- normal desire to grow * "effect of catch per ship on desire to grow, NL"
- Units: Dmnl
- (21) initial fish stock=
- 3750
- Units: fish
- (22) initial mkt price=
- 200
- Units: $/fish
- (23) initial ships at sea=
- 10
- Units: ships
- (24) INITIAL TIME = 0
- Units: Year
- The initial time for the simulation.
- (25) max fishery size=
- 4000
- Units: fish
- (26) max price=
- 400
- Units: $/fish
- (27) normal catch per ship=
- 25
- Units: fish/ship/Year
- (28) normal desire to grow=
- IF THEN ELSE(base case switch, 0+STEP(growth rate, 11), growth rate)
- Units: fraction
- growth rate = 0.10 or 10% in the base case.
- (29) price changes=
- (adjusted price - Current Mkt Price)/time to adjust prices
- Units: $/fish/Year
- (30) purchase or retire ships=
- "gap (fleet size)" / time to adjust fleet size
- Units: ships / Year
- (31) SAVEPER =
- TIME STEP
- Units: Year [0,?]
- The frequency with which output is stored.
- (32) Ships at Sea= INTEG (
- purchase or retire ships,
- initial ships at sea)
- Units: ships
- (33) smoothed catch info=
- SMOOTHI(total catch, time to avg catch, total catch)
- Units: fish/Year
- (34) "std. expense/ship"=
- 2500
- Units: $/Year/ship
- (35) "std. time"=
- 1
- Units: Year
- (36) "supply(Q) effect on price" = WITH LOOKUP (
- total catch/smoothed catch info,
- ([(0.8,0.8)-(5,2)],(0.0366748,1.1),(0.268949,1.05),(0.525672,1.02),(1,1
- ),(1.50367,0.968421),(2.01711,0.947368),(2.02934,0.940351),(2.31051,0.933333
- ),(3,0.9),(4,0.89),(5,0.89) ))
- Units: Dmnl
- The supply effect on price is moderate. The market for fish is
- constrained by outside forces, substitutability, and other
- regional markets.\!Dmnl
- (37) TIME STEP = 1
- Units: Year [0,?]
- The time step for the simulation.
- (38) time to adjust fleet size=
- 1
- Units: Year
- (39) time to adjust prices=
- 1
- Units: Year
- (40) time to avg catch=
- 2
- Units: years
- (41) total catch=
- catch per ship * Ships at Sea
- Units: fish / Year
- (42) total fishery profit inflow=
- total profit
- Units: $/Year
- (43) total profit=
- total revenue - ("std. expense/ship" * Ships at Sea)
- Units: $/Year
- (44) total revenue=
- total catch * Current Mkt Price
- Units: $/Year
Appendix C. A Fishery Collapse from Aggressive Growth, 15% growth

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| Fishery Collapse | Major Causes | Sources |
|---|---|---|
| Peruvian anchoveta, early 1970s | High natural stock variability | [26,27] |
| Atlanto-Scandian Herring, early 1970s | Numerous issues, state subsidies | [26] |
| North Sea Herring, late 1970s | Delay, slow political decisions, difficult stock assessment | [27,28] |
| Atlantic Northwest Cod, 1992 | Overfishing, technology stuffing, poor ecological knowledge | [25] |
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