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Principles of Systems Dynamics Modeling and Analysis Pål I. Davidsen pal.davidsen@geog.uib.no Department of Geography, University of Bergen, N-5020 Bergen, fax. 55 584107 tel. 55 584134 Pål I. Davidsen pal.davidsen@geog.uib.no Department of Geography, University of Bergen, N-5020 Bergen, fax. 55 584107 tel. 55 584134
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Knowledge elicitation Problem identification Problem solving Management Knowledge dissemination Knowledge dissemination System Dynamics Backlog Backlog Management
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University of Bergen HIA, NTNU, BI University of Bergen HIA, NTNU, BI L.B.S., L.S.E., Leeds & Portsmouth Scranton & Sunderland L.B.S., L.S.E., Leeds & Portsmouth Scranton & Sunderland Istanbul Mannheim & Stuttgart Cottbus & Mainz Mannheim & Stuttgart Cottbus & Mainz Bologna, Bocconi Carla Cattaneo & Palermo Bologna, Bocconi Carla Cattaneo & Palermo Sevilla & Pamplona Sevilla & Pamplona Lisboa & Algarve Lisboa & Algarve Lugano Utrecht
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Structure Events Behavior
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Structure (underlying causes) Structure (underlying causes) Events (symptoms) Events (symptoms) Behavior (dynamics) Behavior (dynamics)
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Structure (underlying causes) Structure (underlying causes) Events (symptoms) Events (symptoms) Behavior (dynamics) Behavior (dynamics) Decision Making
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Structure (underlying causes) Structure (underlying causes) Events (symptoms) Events (symptoms) Behavior (dynamics) Behavior (dynamics) Decision Making Policy Design
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Structure (underlying causes) Structure (underlying causes) Events (symptoms) Events (symptoms) Behavior (dynamics) Behavior (dynamics) Policy Design
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Structure Behavior Policy Design
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Structure Behavior Policy Design
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Structure Behavior Policy Design Structure Behavior Policy Design
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Structure Behavior Policy Design Structure Behavior Policy Design Structure Behavior Policy Design
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Structure Behavior Policy Design Structure Behavior Policy Design Structure Behavior Policy Design Strategy Development
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Point of Departure: Problem behavior Point of Departure: Problem behavior
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t
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t Identify: Underlying Problem Structure Identify: Underlying Problem Structure
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t
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Identify: New Solution Structure Identify: New Solution Structure t
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t
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t Goal: Desired behavior
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t t
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t t New Solution Structure New Solution Structure Underlying Problem Structure Underlying Problem Structure Desired behavior Problem behavior Hypothesis Development & Testing
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Strategy Development => System dynamics a problem-oriented multidisciplinary approach => System dynamics a problem-oriented multidisciplinary approach
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t Underlying Problem Structure Underlying Problem Structure Problem behavior The model should generate the original behavior for the right reasons
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t New Solution Structure New Solution Structure Desired behavior => The model will generate the desired behavior for the right reasons
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t The model should explain not “just” predict t
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t t The model must constitute a causal feedback theory
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Strategy Development Behavior Structure
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Behavior Structure
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Behavior Structure
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Behavior Structure
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Behavior Structure
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Behavior System Dynamics: Identify, understand, and utilize the relationship:
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Structure Behavior System Dynamics: Identify, understand, and utilize the relationship: in complex, dynamic systems
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S S D D Complexity Simplicity
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S S D D Realism Abstraction
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Realism Abstraction It is better to find …
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than … a satisfying solution to a problem that exists … … a satisfying solution to a problem that exists … … an optimal solution to a non-existing problem … an optimal solution to a non-existing problem
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Challenge: potential shifts in Domin. structure Domin. structure Challenge: potential shifts in Domin. structure Domin. structure tt Behavior
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Maintaining Realism
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We must not only model explicitly “the plumbing of the system”
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Make observations Form expectations Establish attitudes Act on incentives (decide) We need to describe how we;
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Actual Observed Confirmed Projected Desired Expected magnitudes We need to differentiate between;
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Petroleum Exploration PerceivedProductivity ReportedProductivity EstimatedProductivity ActualProductivity Exploration Efforts DesiredDiscoveries EstimatedDiscoveries IdealDiscoveries
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Petroleum Exploration PerceivedProductivity Nominal Productivity Productivity ReportedProductivity EstimatedProductivity ActualProductivity DesiredProductivity ProductivityIncentives Exploration Efforts DesiredDiscoveries EstimatedDiscoveries IdealDiscoveries
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Petroleum Exploration PerceivedProductivity Nominal Productivity Productivity ReportedProductivity EstimatedProductivity ActualProductivity DesiredProductivity ProductivityIncentives Exploration Efforts DesiredDiscoveries EstimatedDiscoveries IdealDiscoveries
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Structure Behavior System Dynamics: Identify, understand, and utilize the relationship: in complex, dynamic systems
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Complexity Accumulation Feedback Non-linearity
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Complexity a synergy of Complexity a synergy of Feedbacks Non-linearities Accumulations ≡ Latencies / Delays Accumulations ≡ Latencies / Delays
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Accumulations ≡ Latencies/ Delays Accumulations ≡ Latencies/ Delays Complexity … the origin of dynamics
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Instantaneous causality Causality playing out over time
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0 t 01 t 01 In a causality that spans time nothing happens instantaneously In a causality that spans time nothing happens instantaneously
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0 t 01 t 01 Effects unfold over time Effects unfold over time 90 0
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Accumulations distribute and form the effects of a change across a system (in space) over time
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Inventory Production Rate Shipment Rate A first order accumulation process (building up distance)
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Manpower Inventory Hiring & Training Rate Production Rate Shipment Rate Attrition Rate A second order accumulation process (building up speed)
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Manpower Inventory Trainers Hiring & Training Rate Production Rate Shipment Rate Attrition Rate Training Cap. Building Rate Training Cap. Decay Rate A third order accumulation process (building up accell.)
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Manpower Inventory Trainers Hiring & Training Rate Production Rate Shipment Rate Attrition Rate Training Cap. Building Rate Training Cap. Decay Rate
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Manpower Inventory Trainers Hiring & Training Rate Production Rate Shipment Rate Attrition Rate Training Cap. Building Rate Training Cap. Decay Rate
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Manpower Inventory Trainers Hiring & Training Rate Production Rate Shipment Rate Attrition Rate Training Cap. Building Rate Training Cap. Decay Rate
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Manpower Inventory Trainers Hiring & Training Rate Production Rate Shipment Rate Attrition Rate Training Cap. Building Rate Training Cap. Decay Rate
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Manpower Inventory Trainers Hiring & Training Rate Production Rate Shipment Rate Attrition Rate Training Cap. Building Rate Training Cap. Decay Rate
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Multiple accumulations introduce intransparency that leads us to focus on short-term problems while ignoring long-term benefits
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Multiple accumulations introduce intransparency that leads us to focus on short-term benefits while ignoring long-term problems
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Gain Additional Complexity Reputation Loss
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Gain Indicated Rep. > Reputation Reputation Loss Indicated Reputation Indicated Reputation Time to Gain Reputation Time to Gain Reputation
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Gain Indicated Rep. < Reputation Reputation Loss Indicated Reputation Indicated Reputation Time to Loose Reputation Time to Loose Reputation
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Gain Additional Complexity Reputation Loss Indicated Reputation Indicated Reputation Time to Loose Reputation Time to Loose Reputation Time to Gain Reputation Time to Gain Reputation
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Latencies and the time over which the effects play out are often misperceived more often underestimated than overestimated
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Stocks + Flows
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Backlog Order Placement Rate Order Execution Rate
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Inventory Production Rate Delivery Rate
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Cash Revenue Rate Payment Rate
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Personnel Hiring Rate Attrition Rate
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Capital Acquisition Rate Discard Rate
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Payment Rate Depreciation Rate Book Value Capital Acquisition Rate Discard Rate
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Payment Rate Depreciation Rate Book Value Capital Acquisition Rate Discard Rate Price
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Payment Rate Depreciation Rate Book Value Capital Acquisition Rate Discard Rate Price Annual Fraction Depreciated Annual Fraction Discarded
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Identified Reserves Discovery Rate Production Rate
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Depreciation Rate Book Value Identified Reserves Discovery Rate Production Rate Exploration Expenditures
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Depreciation Rate Book Value Identified Reserves Discovery Rate Production Rate Exploration Expenditures Cum Production Recovery Technology Total Recoverable Resource Remaining (CumulativeProduction + IdentifiedReserves)*FractionRecoverable - CumulativeProduction)
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Depreciation Rate Book Value Identified Reserves Discovery Rate Production Rate Unit Exploration Expenditures Exploration Expenditures Total Recoverable Resource Remaining Recovery Technology Cum Production
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Depreciation Rate Book Value Identified Reserves Discovery Rate Production Rate Unit Exploration Expenditures Exploration Expenditures Total Recoverable Resource Remaining Recovery Technology Cum Production
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No stocks, no state
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No flows, no dynamics
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Stocks act as buffers they de-couple flows
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Stocks integrate flows
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Debt Import RateExport Rate Stocks integrate flows
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Debt Import RateExport Rate
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Debt - Export Rate Net Import Rate = Import Rate The Debt Model
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Debt 0 t 01 t 01 - Export Rate Import Rate
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Debt 0 t 01 t 01 - Export Rate Import Rate
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Debt 0 t 01 t 01 Stocks constitute delays - Export Rate Import Rate
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Just like driving a car....... Capital Personnel Shipments Inventory Exp. Demand Attrition Recruitment Acquisitions Phase-outs Production Adj. Exp. Demand Market Demand
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Complexity Dynamics Delay Feedback Non-linearity
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Delay Distributes the effect of our efforts through the system over time
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Price - + DemandSupply Perceived Shortages + - Delay distributes the effect of our efforts through the system over time Delay distributes the effect of our efforts through the system over time
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Price - + DemandSupply Perceived Shortages + - Delay obscures the relationship between cause and effect Delay obscures the relationship between cause and effect
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Price - + DemandSupply Perceived Shortages + - => It is difficult to … => It is difficult to …
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Price + + Perceived Shortages Demand - Supply identify problems (what are their causes) -
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Price + + Perceived Shortages Demand - Supply take effective actions (what do they cause) -
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Price - + + Perceived Shortages Demand - Supply … and feedback... + … does not make it less difficult
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Price - + + Perceived Shortages Demand - Supply A note on... + … econometrics
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Price - + + Perceived Shortages Demand - Supply A note on... + … the significance of the time horizon
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Management from a System Dynamics perspective ensure short- and long-term sustainability
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Complexity Feedback Non-linearity Accumulation
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Accumulations ≡ Latencies/ Delays Accumulations ≡ Latencies/ Delays Complexity From the origin of dynamics to…
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Feedback Complexity Accumulations ≡ Latency/ Delay Accumulations ≡ Latency/ Delay … circular causality
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Circular causality lead us to reason in circles: Cause becomes effect and effect becomes cause
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This is why we need to say Some change in B leads to a change in A … which over a period of time leads to a change in B A B
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Price - + + Perceived Shortages Demand - Supply Speculative Demand + + Speculative Supply - - -- ++ +
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Price - + + Perceived Shortages Demand - Supply + Speculative Demand + + Speculative Supply - - --
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Price - + Perceived Shortages DemandSupply + Speculative Demand + + Speculative Supply - - -- + -
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More Feedback (FblExmpls)FblExmpls
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Management from a System Dynamics perspective
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Management from a System Dynamics perspective Strengthen favorable loops
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Management from a System Dynamics perspective Strengthen favorable loops Weaken unfavorable loops
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NOTE: What loops are favorable or unfavorable varies from one point in time to the next because of …
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Price - + + Perceived Shortages Demand - Supply + Speculative Demand + + Speculative Supply - - -- ++
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Challenge: What loops are favorable or unfavorable varies from one point in time to the next because …
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Effects take time Effects feed back... not only do
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Effects take time Effects feed back Effects also synergize
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Feedbacks Non-linearities Complexity a composite of Complexity a composite of Accumulations ≡ Latency/ Delay Accumulations ≡ Latency/ Delay
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Complexity Feedback Non-linearity Accumulation
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Non-linearity causes the response to a change in a variable to be conditioned by the state of the system… Non-linearity causes the response to a change in a variable to be conditioned by the state of the system…
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Efficiency in Exploration 50 25 00.51 Fract. Total Resource Remaining Undiscovered 0...(1) by the value of the variable itself..
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Nominal Rework Effort Needed Per Error 0.6 0.2 0.250.751.0 0.4 0.50 % of Job Completed D e s i g n C o d i n g 0 0
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% Active Errors 100 33 0.250.751.0 66 0.50 % of Job Completed D e s i g n C o d i n g 0 0
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% Active Error Retirement Fraction 1.0 0.33 0.250.751.0 0.66 0.50 % of Job Completed D e s i g n C o d i n g 0 0
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Efficiency in Exploration 50 25 00.51 Fract. Total Resource Remaining Undiscovered 0
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Non-linearity causes the response to a change in a variable to be conditioned by the state of the system… Non-linearity causes the response to a change in a variable to be conditioned by the state of the system…
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Z = X * Y or X / Y rather than X + Y or X - Y Z = X * Y or X / Y rather than X + Y or X - Y X Y.. (2) by the value of other variables.. Subsystem ISubsystem II
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Yield = Investments * Productivity = Investments * Productivity From Technology * Effect Of Exploration On Productivity Yield = Investments * Productivity = Investments * Productivity From Technology * Effect Of Exploration On Productivity Technology Exploration Finance Investments Productivity Eff. Of Exploration On Productivity
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To be continued...
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Cumulative Identified Resource Additions to Total Resource (TR) Undiscovered Resource (UR)
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Cumulative Identified Resource Additions to Technically Undiscoverable Resource Remaining TechnicallyDiscoverable Resource Remaining (TDRR) UndiscoveredResource(UR) Total Resource (TR)
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Cumulative Identified Resource Additions to Technically Undiscoverable Resource Remaining TechnicallyDiscoverable Resource Remaining (TDRR) UndiscoveredResource(UR) Total Resource (TR)TechnologicalProgress
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Cumulative Identified Resource Additions to Technically Undiscoverable Resource Remaining TechnicallyDiscoverable Resource Remaining (TDRR) UndiscoveredResource(UR) Total Resource (TR)TechnologicalProgress ExplorationProgress
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Cumulative Identified Resource Additions to Technically Undiscoverable Resource Remaining TechnicallyDiscoverable Resource Remaining (TDRR) Total Resource (TR)UndiscoveredResource(UR) Productivity From Technology = Techn. Discoverable Resource Remaining (TDRR) / Undiscovered Resource (UR)
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Cumulative Identified Resource Additions to Technically Undiscoverable Resource Remaining TechnicallyDiscoverable Resource Remaining (TDRR) UndiscoveredResource(UR) Total Resource (TR) Productivity From Technology = Techn. Discoverable Resource Remaining (TDRR) / Undiscovered Resource (UR) TechnologicalProgress
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Cumulative Identified Resource Additions to Technically Undiscoverable Resource Remaining TechnicallyDiscoverable Resource Remaining (TDRR) UndiscoveredResource(UR) Total Resource (TR) Effect of Exploration On Productivity = Undiscovered Resource (UR) / Total Resource (TR)
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Cumulative Identified Resource Additions to Technically Undiscoverable Resource Remaining TechnicallyDiscoverable Resource Remaining (TDRR) UndiscoveredResource(UR) Total Resource (TR)ExplorationProgress Effect of Exploration On Productivity = Undiscovered Resource (UR) / Total Resource (TR)
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Yield = Investments * Productivity = Investments * Productivity From Technology * Effect Of Exploration On Productivity Yield = Investments * Productivity = Investments * Productivity From Technology * Effect Of Exploration On Productivity Technology Exploration Finance Investments Productivity Eff. Of Exploration On Productivity
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Yield = Investments * Productivity = Investments * Techn. Discoverable Resource Remaining (TDRR) / Undiscovered Resource (UR) * Undiscovered Resource (UR) / Total Resource (TR) Yield = Investments * Productivity = Investments * Techn. Discoverable Resource Remaining (TDRR) / Undiscovered Resource (UR) * Undiscovered Resource (UR) / Total Resource (TR) Cumulative Identified Resource Additions to Technically Undiscoverable Resource Remaining TechnicallyDiscoverable Resource Remaining (TDRR) Total Resource (TR)
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Yield = Investments * Productivity = Investments * Techn. Discoverable Resource Remaining (TDRR) / Total Resource (TR) Yield = Investments * Productivity = Investments * Techn. Discoverable Resource Remaining (TDRR) / Total Resource (TR) TechnicallyDiscoverable Resource Remaining (TDRR) Total Resource (TR)
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TechnicallyDiscoverable Resource Remaining (TDRR) Total Resource (TR)TechnologicalProgress ExplorationProgress
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…so that non-linearity causes effects to become blended …so that non-linearity causes effects to become blended
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=> Non-linearity makes it difficult to establish experience with respect to underlying causes (diagnosis) and leverage points, doses and timing (treatment) Non-linearity makes it difficult to establish experience with respect to underlying causes (diagnosis) and leverage points, doses and timing (treatment)
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Demand - Investm. in Prod. % of Investments in Production Investm. in R&D Qlt + + R&D Efficiency Price Price/QLTSales Revenue Production Capacity Production Rate Inventory Level + + + -- + + + + - - + + + + + + -
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Demand - Investm. in Prod. % of Investments in Production Investm. in R&D Qlt + + R&D Efficiency Price Price/QLTSales Revenue Production Capacity Production Rate Inventory Level + + + -- + + + + - - + + + + + + -
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Demand - Investm. in Prod. % of Investments in Production Investm. in R&D Qlt + + R&D Efficiency Price Price/QLTSales Revenue Production Capacity Production Rate Inventory Level + + + -- + + + + - - + + + + + + -
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Demand - Investm. in Prod. % of Investments in Production Investm. in R&D Qlt + + R&D Efficiency Price Price/QLTSales Revenue Production Capacity Production Rate Inventory Level + + + -- + + + + - - + + + + + + -
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Demand - Investm. in Prod. % of Investments in Production Investm. in R&D Qlt + + R&D Efficiency Price Price/QLTSales Revenue Production Capacity Production Rate Inventory Level + + + -- + + + + - - + + + + + + -
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Demand - Investm. in Prod. % of Investments in Production Investm. in R&D Qlt + + R&D Efficiency Price Price/QLTSales Revenue Production Capacity Production Rate Inventory Level + + + -- + + + + - - + + + + + + -
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Demand - Investm. in Prod. % of Investments in Production Investm. in R&D Qlt + + R&D Efficiency Price Price/QLTSales Revenue Production Capacity Production Rate Inventory Level + + + -- + + + + - - + + + + + + -
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Demand - Investm. in Prod. % of Investments in Production Investm. in R&D Qlt + + R&D Efficiency Price Price/QLTSales Revenue Production Capacity Production Rate Inventory Level + + + -- + + + + - - + + + + + + -
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Demand - Investm. in Prod. % of Investments in Production Investm. in R&D Qlt + + R&D Efficiency Price Price/QLTSales Revenue Production Capacity Production Rate Inventory Level + + + -- + + + + - - + + + + + + -
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Demand - Investm. in Prod. % of Investments in Production Investm. in R&D Qlt + + R&D Efficiency Price Price/QLTSales Revenue Production Capacity Production Rate Inventory Level + + + -- + + + + - - + + + + + + -
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Demand - Investm. in Prod. % of Investments in Production Investm. in R&D Qlt + + R&D Efficiency Price Price/QLTSales Revenue Production Capacity Production Rate Inventory Level + + + -- + + + + - - + + + + + + -
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Non-linearity makes it difficult to utilize formal analysis Non-linearity makes it difficult to utilize formal analysis
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S S D D Realism Abstraction
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It is better to be almost right (ca. 7.5) … It is better to be almost right (ca. 7.5) … …precisely wrong (3.85564923557) …precisely wrong (3.85564923557) than
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Non-linearity => Endogenous shifts in structural dominance Non-linearity => Endogenous shifts in structural dominance
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Interdisciplinary analogies Reality checks Defining loops that serve a purpose
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Population
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Birth Rate
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Death Rate Population
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RGF Reference Growth Fraction Birth RateDeath Rate Population
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RGF Reference Growth Fraction Birth RateDeath Rate RGF*P Population
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RGF Reference Growth Fraction Birth RateDeath Rate RGF*P Population
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RGF Reference Growth Fraction Birth RateDeath Rate C RGF*P Carrying Capacity Population
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RGF Reference Growth Fraction Birth RateDeath Rate P/C Stress C RGF*P Carrying Capacity Population
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RGF Reference Growth Fraction Birth RateDeath Rate P/C Stress C RGF*S*PRGF*P Carrying Capacity Population
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RGF Reference Growth Fraction Birth RateDeath Rate P/C Stress C RGF*P*P/CRGF*P Carrying Capacity Population
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RGF Reference Growth Fraction Birth RateDeath Rate RGF*P 2 /CRGF*P Population
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RGF Reference Growth Fraction Birth RateDeath Rate RGF*P + - Population RGF*P 2 /C
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5 000- 0 10 000- 010 + - 5 Months Population +
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5 000- 0 10 000- 010 + - 5 Months + Population
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5 000- 0 10 000- 010 + - 5 Months Infectious + Population
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5 000- 0 10 000- 010 + - 5 Months Susceptible Infectious + Population
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Infectious c * i * S/N * I Susceptible Net Recruitment Rate - + Prob Of Mtg. Susc.Hot Contacts Per Week S/N c * I Contact Frequency c Infectivity i
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RGF Reference Growth Fraction Population Birth RateDeath Rate P/C Stress C RGF*P*SRGF*P Carrying Capacity - + -
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c*i Reference Growth Fraction Infectious Potential Recruitment Rate c * i * I Note: If the entire population was susceptible, then all meetings with an infections is potentially a recruitment: - + -
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c*i Reference Growth Fraction Infectious Potential Recruitment Rate I/N Growth Resistance N c * i * I Total Population Note: No more than the total population N may become infectious i.e. the total population is the carrying capacity - + -
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c*i Reference Growth Fraction Infectious Potential Recruitment RateFailed Recruitment Rate I/N Growth Resistance N c*i*I*GRc * i * I Total Population Note: The fraction I/N of the population has already been infected and a meeting between such a person and another infected does NOT contribute to recruitment - + -
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c*i Reference Growth Fraction Infectious Potential Recruitment RateFailed Recruitment Rate c*i*I*I/Nc * i * I N - + -
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c*i Reference Growth Fraction Infectious Potential Recruitment RateFailed Recruitment Rate c * i * I Recruitment under the assumption that the total population is susceptible c*i*I*I/N - +
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c*i Reference Growth Fraction Infectious Potential Recruitment RateFailed Recruitment Rate c * i * I Recruitment under the assumption that the total population is susceptible Recruitment failing because a fraction (I/N) of the total population is not susceptible c*i*I*I/N - +
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c*i Reference Growth Fraction Infectious Potential Recruitment RateFailed Recruitment Rate c*i*I 2 /Nc * i * I - +
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c*i Reference Growth Fraction Infectious Potential Recruitment RateFailed Recruitment Rate c*i*I 2 /Nc * i * I Net Recruitment Rate c * i * I - c*i*I 2 /N - +
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c*i Reference Growth Fraction Infectious Potential Recruitment RateFailed Recruitment Rate c*i*I 2 /Nc * i * I Net Recruitment Rate c * i * I * (1 - I/N) Recruitment succeeding because a fraction (1 - I/N) of the total population is still susceptible - +
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Infectious Potential Recruitment RateFailed Recruitment Rate c*i*I 2 /Nc * i * I Net Recruitment Rate - + c * i * I * (1 - I/N)
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Infectious Potential Recruitment RateFailed Recruitment Rate c*i*I 2 /Nc * i * I Net Recruitment Rate - + c * i * I * (1 - I/N)
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Infectious c*i*I 2 /N Net Recruitment Rate c * i * I - + c * i * I * (1 - I/N)
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Infectious c*i*I 2 /N c * i * I Net Recruitment Rate - + c * i * I * (1 - I/N)
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Infectious c * i * I - c*i*I 2 /N Net Recruitment Rate
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Infectious c * i * (1 - I/N) * I Net Recruitment Rate
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Infectious c * i * (1 - I/N) * I Net Recruitment Rate
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Infectious Susceptible c * i * (1 – (N-S)/N) * I Net Recruitment Rate - +
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Infectious Susceptible c * i * ((N – (N-S))/N) * I Net Recruitment Rate - +
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Infectious c * i * S/N * I Susceptible Net Recruitment Rate - + Infectious c * i * S/N * I Susceptible Net Recruitment Rate - + Prob Of Mtg. Susc.Hot Contacts Per Week S/N c * I Contact Frequency c Infectivity i
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Infectious c * i * I/N * S Susceptible Net Recruitment Rate - + Infectious c * i * I/N * S Susceptible Net Recruitment Rate - + Prob Of Mtg. Susc.Hot Contacts Per Week S/N c * I Contact Frequency c Infectivity i
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Infectious Net Recruitment Rate c * i * I *S/N Susceptible Infectious Potential Recruitment RateFailed Recruitment Rate (c * i) * I(c*i*I/N)*I NOTE: Although the models are equivalent, the positive and negative loops in these two models are not the same! They ”tell the story” in two very different ways - +
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5 000- 0 10 000- 010 + - 5 Months Susceptible Infectious +
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- NetRecruitmentRate Infectious Susceptible NetRecruitmentRate Susceptible + Summary
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Endogenous Shifts in Structural Significance Diffusion and Depletion Processes Masking a negative loop by a positive loop Endogenous Shifts in Structural Significance Diffusion and Depletion Processes Masking a negative loop by a positive loop
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Exploration Rate Exploration Potential - Exploration Rate
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Expl. / Exploit. Pot Exploration Rate - Exploration Potential Exploration Rate + Expl. / Exploit. Pot Exploration Potential
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Exploitation Rate - Exploration Potential Exploration Rate + - Exploitation Rate Exploration Potential Exploration Rate Expl. / Exploit. Pot
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- Exploration Potential Exploration Rate + - Exploitation Rate Exploration Rate Exploited Exploitation Rate Expl. / Exploit. Pot Exploited Exploration Potential
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Exploited - Exploration Potential Exploration Rate + - Exploitation Rate Exploration Rate Exploitation Rate Expl. / Exploit. Pot Exploited Exploration Potential
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- Exploration Rate + - Exploitation Rate Expl. / Exploit. Pot Exploited
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Investments in Exploration - Exploration Potential Exploration Rate + - Exploitation Rate Expl. / Exploit. Pot Revenues Exploited
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Investments in Exploration Productivity in Exploration - Exploration Potential Exploration Rate + - Exploitation Rate Expl. / Exploit. Pot Revenues Exploited
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Investments in Exploration Effect of Exploration on Investment Productivity - Exploration Potential Exploration Rate + - Exploitation Rate Expl. / Exploit. Pot Revenues Exploited Productivity of Investments in Exploration
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- Exploration Potential Exploration Rate + - Exploitation Rate Investments in Exploration Productivity of Investments in Exploration Investments in Exploration Technology Exploration Technology + Expl. / Exploit. Pot Effect of Exploration on Investment Productivity Revenues Exploited
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Productivity of Investments in Technology Investments in Exploration Technology - Exploration Potential Exploration Rate + - Exploitation Rate Investments in Exploration Revenues Productivity of Investments in Exploration Investments in Exploration Technology Exploration Technology + Expl. / Exploit. Pot Effect of Exploration on Investment Productivity Investments in Technology Exploited Exploration Technology
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Investments in Technology Productivity of Investments in Technology - Exploration Potential Exploration Rate + - Exploitation Rate Revenues Expl. / Exploit. Pot Effect of Exploration on Investment Productivity Exploited Exploration Technology
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Investments in Technology Productivity of Investments in Technology - Exploration Potential Exploration Rate + Revenues Effect of Exploration on Investment Productivity Exploited Exploration Technology
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Investments in Technology Productivity of Investments - Exploration Potential Exploration Rate + Revenues Effect of Exploration on Investment Productivity Exploited Exploration Technology
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- Exploration Potential Exploration Rate + Exploited Exploration Technology + - + Exploited Exploration Technology
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- Exploration Potential Exploration Rate + - Exploitation Rate Investments in Exploration Productivity of Investments in Exploration Investments in Exploration Technology Exploration Technology + Expl. / Exploit. Pot Effect of Exploration on Investment Productivity Revenues Exploited
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- Exploration Potential Exploration Rate + - Exploitation Rate Investments in Exploration Productivity of Investments in Exploration Investments in Exploration Technology Exploration Technology + Expl. / Exploit. Pot Effect of Exploration on Investment Productivity Revenues Exploited
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- Exploration Potential Exploration Rate + - Exploitation Rate Investments in Exploration Productivity of Investments in Exploration Expl. / Exploit. Pot Effect of Exploration on Investment Productivity Revenues Exploited Exploration Technology
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- Exploration Potential Exploration Rate + Exploitation Rate Investments in Exploration Productivity of Investments in Exploration Expl. / Exploit. Pot Effect of Exploration on Investment Productivity Revenues
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Investments in Exploration Productivity of Investments - Exploration Potential Exploration Rate + Revenues Effect of Exploration on Investment Productivity Exploitation Rate Expl. / Exploit. Pot
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- Exploration Potential Exploration Rate + Expl. / Exploit. Pot + - + Explored / Exploit. Pot
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- Undiscovered Discovery Rate + Discovered + - +
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CAIR TUdRR Technically Discoverable Resource Remaining (TDRR) Total Resource (TR)TechnologicalProgress ExplorationProgress Investment and technology loop dominance 5 000- 0 10 000- 0100 + 50 Years + Undiscovered Discovered Discovery Rate +
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CAIR TUdRR Technically Discoverable Resource Remaining (TDRR) Total Resource (TR)TechnologicalProgress ExplorationProgress - Undiscovered Depletion loop dominance Discovered Discovery Rate + 5 000- 0 10 000- 0100 + - 50 Years Undiscovered Discovered +
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TUdRR Technically Discoverable Resource Remaining (TDRR) Total Resource (TR)DTP EP - Undiscovered Depletion loop dominance Discovered Discovery Rate + 5 000- 0 10 000- 0100 + - 50 Years Undiscovered Discovered + CAIR
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TUrRR Technically Recoverable Resource Remaining (TRRR) TUdRR Technically Discoverable Resource Remaining (TDRR) Total Resource (TR)DTP EP - Undiscovered Depletion loop dominance Discovered Discovery Rate + 5 000- 0 10 000- 0100 + - 50 Years Undiscovered Discovered + CAIR RTP PP
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TUrRR Technically Recoverable Resource Remaining (TRRR) TUdRR Technically Discoverable Resource Remaining (TDRR) Total Resource (TR)DTP EP Recovered Production Rate + 5 000- 0 10 000- 0100 + 50 Years Undiscovered Discovered CAIR RTP PP + Investment and technology loop dominance
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TUrRR Technically Recoverable Resource Remaining (TRRR) TUdRR Technically Discoverable Resource Remaining (TDRR) Total Resource (TR)DTP EP - Unrecovered Depletion loop dominance Recovered Production Rate + 5 000- 0 10 000- 0100 + 50 Years Undiscovered Discovered CAIR RTP PP - +
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Could this model be applied in the health sector ?
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Patients who, techno- logically considered, cannot be treated Patients who, techno- logically considered, may be treated Alle Pasienter Technologicalprogress Progress in utilization - Untreated Shift in loop-dominance Treated Progress + Patients treated
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A diffusion model
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Management from a System Dynamics perspective Strengthen favorable loops Weaken unfavorable loops
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What loops are favorable or unfavorable varies from one point in time to the next ! Note
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Management from a System Dynamics perspective In developing robust policies, management must establish a surveillance of loop dominance
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Management from a System Dynamics perspective so as to decide on which to weaken and which to strengthen at any point in time In developing robust policies, management must establish a surveillance of loop dominance
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Behavior Structure
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SPREAD SHEET Multimedia databases Modern Problem Statement Format:
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Point of departure Source Material
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Formalization Source Material SD-model
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Documentation Source Material SD-model
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Design and Control Source Material SD-model ILE
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Source Material SD-model ILE Illustration
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Source Material SD-model ILE Transparency
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The Modeling Process
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Problem articulation Formulation of dynamic hypothesis Formulation of simulation model Testing Policy design & evaluation
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A predator prey model HLstart HL5 HL6 HLstart HL5 HL6
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Peter M. Senge: The Fifth Discipline From Archetypes to Generic Structures & Behavior and back again.....
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F Limits to Growth F Eroding Goals F Escalation => Success to the Sucessful F Tragedy of the Commons F Fixes that Fail F Shifting the Burden to the Intervener=> Dependency & Addiction Archetypes
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Class of Challenges Problem Symptom Own solution -
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Class of Solutions: Shifting the burden to an intervener Intervention Own solution - - Problem Symptom
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Class I of Side Effects: Dependence Intervention Own solution Ability to solve + - - Problem Symptom
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+ Class II of Side Effects: Addiction Intervention Own solution Ability to solve - - Quality of Intervention Problem Symptom +
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A Dynamic Story Problem Behavior
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Backlog
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Backlog Management
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Backlog Backlog Management
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- Backlog Adjustment Backlog Order Rate Ideal Structure Des Repair Rate Repair Rate
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A Dynamic Story Additional Evidence
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Backlog Backlog Management
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Backlog Backlog Management
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- Des Workforce Workforce Backlog Adjustment Backlog Order Rate Problem Structure Normal Repair Rate Hire Rate Des Repair Rate Repair Rate
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Solution Overtime
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Backlog Backlog Management
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Backlog Backlog Management
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Schedule Pressure Des Workforce Workforce Backlog Adjustment Backlog Effect of Over- time On Repair Rate Order Rate Long term solution - - Normal Repair Rate Hire Rate Des Repair Rate Repair Rate
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Schedule Pressure Des Workforce Workforce Normal Repair Rate Backlog Adjustment Backlog Hire Rate Effect of Over- time On Repair Rate Order Rate Des Repair Rate Repair Rate Long term solution - - +
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Schedule Pressure Des Workforce Workforce Backlog Adjustment Backlog Effect of Over- time On Repair Rate Order Rate Expected Over- time Trouble I: Dependence + - - + Normal Repair Rate Hire Rate Des Repair Rate Repair Rate
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MTBF Schedule Pressure Des Workforce Workforce Backlog Adjustment Backlog Effect of Over- time On Repair Rate Order Rate Expected Over- time Trouble II: Addiction + - - + + Normal Repair Rate Hire Rate Des Repair Rate Repair Rate
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MTBF Schedule Pressure Des Workforce Workforce Backlog Adjustment Backlog Effect of Over- time On Repair Rate Order Rate Expected Over- time Trouble II: Addiction + - - + + Normal Repair Rate Hire Rate Des Repair Rate Repair Rate
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MTBF Complexity Schedule Pressure Des Workforce Workforce Backlog Adjustment Backlog Effect of Over- time On Repair Rate Order Rate Expected Over- time Normal Repair Rate Hire Rate Des Repair Rate Repair Rate
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MTBF Neg. Feedback Schedule Pressure Des Workforce Workforce Backlog Adjustment Backlog Effect of Over- time On Repair Rate - - Order Rate Expected Over- time Normal Repair Rate Hire Rate Des Repair Rate Repair Rate
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MTBF Pos. Feedback Schedule Pressure Des Workforce Workforce Backlog Adjustment Backlog Effect of Over- time On Repair Rate + - - + + Order Rate Expected Over- time Normal Repair Rate Hire Rate Des Repair Rate Repair Rate
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MTBF Delay Schedule Pressure Des Workforce Workforce Backlog Adjustment Backlog Effect of Over- time On Repair Rate + - - + Order Rate Expected Over- time + Normal Repair Rate Hire Rate Des Repair Rate Repair Rate
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MTBF Non-linearity Schedule Pressure Des Workforce Workforce Backlog Adjustment Backlog Effect of Over- time On Repair Rate + - - + Order Rate Expected Over- time + Normal Repair Rate Hire Rate Des Repair Rate Repair Rate
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Schedule pressure 1 1- o.8- 1.25- o.51.5 Overtime Graph
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1 1- o.51.5 MTBF Graph ? ? Schedule pressure
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MTBF Non-linearity Schedule Pressure Des Workforce Workforce Backlog Adjustment Backlog Effect of Over- time On Repair Rate + - - + Order Rate Expected Over- time + Normal Repair Rate Hire Rate Des Repair Rate Repair Rate
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MTBF Schedule Pressure Des Workforce Workforce Backlog Adjustment Backlog Effect of Over- time On Repair Rate + - - + Order Rate Expected Over- time + Normal Repair Rate Hire Rate Des Repair Rate Repair Rate Uncertainty
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Class of Challenges Own solution - Problem
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Instance of a Challenge - Recruitment Under-/Over- Capacity
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Class of Solutions: Shifting the burden to an intervener Intervention Own solution - - Problem
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Instance of a Solution: Shifting the burden to the workforce - - Overtime Recruitment Under-/Over- Capacity
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Class I of Side Effects: Dependence Intervention Own solution Ability to solve - - + Problem
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Instance I of a Side Effect: Dependence on Overtime Recruitment Ability/willingn. to recruit - - Overtime Under-/Over- Capacity +
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Class II of Side Effects: Addiction Intervention Own solution Ability to solve - - Quality of Intervention + + Problem
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Instance II of a Side Effect: Increasing load through decreased MTBF Under-/Over- Capacity Recruitment + - - MTBF Overtime Ability/willingn. to recruit +
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SPREAD SHEET Multimedia databases Modern Problem Statement Format:
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Point of departure Source Material
306
Formalization Source Material SD-model
307
Documentation Source Material SD-model
308
Design and Control Source Material SD-model ILE
309
Source Material SD-model ILE Illustration
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Source Material SD-model ILE Transparency
311
5 000- 0 10 000- 0100 + - 50 Ubehandlede Behandlede + Years Utnyttlesesløkke-dominans
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