3_Causal Loop Diagrams

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    Economic Systems Modeling

    Philip Asibu-Yartey

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    ` Most commonly used tool in the early stagesof system conceptualization.

    `Also called influence diagrams, or directed

    graphs.` Represent the feedback structure of systems

    ` Capture The hypotheses about the causes of dynamics

    The important feedbacks within the system

    `A diagram that shows causal links amongactions, information, and consequencesas captured in a given system

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    ` They provide

    Simplicity

    Tool for communication Does not require intimate knowledge of the

    quantitative modeling and simulation

    techniques of SD

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    Salary VS Performance

    Salary Performance

    Performance Salary

    Tired VS Sleep Tired sleep

    Sleep tired

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    ` Signing: Add a + or a sign at each

    arrowhead to convey more information

    `A + is used: if the cause increase, the effect

    increases and if the cause decrease, the effect

    decreases

    `A - is used: if the cause increases, the effect

    decreases and if the cause decreases, the effectincreases

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    ` Place the signs (+ or -) at the head or point of the

    arrow.

    Influencing

    VariableInfluenced Variable

    Positive Links

    Negative Links

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    +

    +

    +

    -

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    ` Positive feedback loops Reinforcing loop

    Vicious cycle or virtuous cycle

    Growth generating mechanisms

    ` Negative feedback loops Goal seeking feedback or balancing loop

    Actions are directed toward an objective or target

    +

    -

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    ` Positive feedback loops Have an even number of signs Some quantity increase, a snowball effect takes over and that

    quantity continues to increase The snowball effect can also work in reverse

    Generate behaviors of growth, amplification, deviation, andreinforcement Notation: place symbol in the center of the loop

    ` Negative feedback loops Have an odd number of signs

    Tend to produce stable, balance, equilibrium and goal-seeking behavior over time Notation: place symbol in the center of the loop

    +

    -

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    ` Salary Performance, Performance Salary

    The better I perform

    The more salary I get

    The more salary I get

    The better I perform

    +

    +

    +

    The more salary I get

    The better I perform

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    Cry Depressed

    +

    +

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    Depression Level

    0

    500

    1000

    1 3 5 7 9 11 13 15 17

    Time

    Depression

    Depression Level

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    The more I sleep

    The more tired I am

    The more I sleep The less tired I am

    The less I sleep

    The more tired I am

    The less I sleep The more tired I am

    +

    -

    -

    Tired Sleep, Sleep Tired

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    Tired Sleep

    +

    - 14Philip Asibu-Yartey - Economic Systems Modeling

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    Tiredness Level

    0

    5

    10

    1 3 5 7 911 13 15 17

    Time

    Tiredness

    Level

    Tiredness Level

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    ` There are systems which have more than one

    feedback loop within them

    ` A particular loop in a system of more than one loop is

    most responsible for the overall behavior of that

    system

    ` The dominating loop might shift over time

    ` When a feedback loop is within another, one loop

    must dominate

    ` Stable conditions will exist when negative loops

    dominate positive loops

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    Birth rate -+

    + +

    + -

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    -

    +

    -

    +

    +

    +

    + +

    +

    +

    +-

    -

    Evaporation clouds rain amount of water evaporation

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    ` Items that affect other items in the system but are

    not themselves affected by anything in the system

    ` Arrows are drawn from these items but there are

    no arrows drawn to these items

    +

    +

    -

    -

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    ` Systems often respond sluggishly

    ` From the example below, once the trees are planted,

    the harvest rate can be 0 until the trees grow enough

    to harvest

    -

    delay

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    Services and Goods Needed Population Congestion of People & Buildings

    Favorable Location

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    New Highways Underconstruction

    Need for New Highways

    Number of New Highways

    Attractiveness of Driving on Highways

    Number of Traffic Jams

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    Refer to the variables in the loop as

    quantities that can rise or fall, grow or

    decline, up or down. There is no need toknow how they can be quantified.

    Use nouns or noun phrases and not verbs.

    The actions are represented in the arrows.

    Be sure that it is clear what it means to say, a variable increases (decreases).

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    ` Do not use causal links to mean and then

    ` Identify the units of the variables as much as

    possible. If necessary, invent it.

    ` Phrase the variables positively.

    ` If a link needs explanation, disaggregate it and

    make it a series of links.

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    ` Do not interpret open loops as feedback loops.

    ` The sign indicates whether the succeedingvariables increase (positive) or decrease

    (negative), when the previous variable increases.` Keep diagrams simple to start with.

    ` Watch out for unintended effects.

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    ` Distinguish carefully between actual values andperceived values.

    ` When using a variable such as actual values,look for corresponding desired values.

    ` Be clear about the purpose of the model. Is itstrategic (top level), tactical, or a detailedoperational problem?

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    ` Have the purpose and target audience of the

    diagram been carefully chosen?

    ` Are the factors chosen consistent with the

    purpose?` The objective of SD is policy analysis, so are the

    policies clearly shown in the diagram?

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    ` SD aims to produce policies which are robust

    against a range of circumstances, so are the

    exogenous factors which might present the

    system with setbacks or opportunities clearlyidentified?

    `Are the variables capable of being easily

    explained to the target audience?

    `Are these variables, in principle, capable ofbeing measured? Can they vary over time?

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    ` Does it capture the most significant insights? Wasit drawn after careful analysis?

    ` Can the diagram be drawn on a level lower orhigher without losing conceptual consistency?

    ` Is the diagram too complicated that it may fail tocommunicate?

    ` Is the diagram neat and tidy with minimum numberof lines crossing?

    ` Can feedback loops be clearly seen?` Do I understand the diagram myself before I try to

    explain it to someone else or write about it?

    29Philip Asibu-Yartey - Economic Systems Modeling