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System dynamics



 
 
System dynamics is an approach to understanding the behaviour of complex system
Complex system

A complex system is a system composed of interconnected parts that as a whole exhibit one or more properties not obvious from the properties of the individual parts....
s over time. It deals with internal feedback loops and time delays that affect the behaviour of the entire system. What makes using system dynamics different from other approaches to studying complex systems is the use of feedback
Feedback

Feedback describes the situation when output from an event or phenomenon in the past will influence the same event/phenomenon in the present or future....
 loops and stocks and flows
Stock and flow

Economics, business, accounting, and related fields often distinguish between quantities which are stocks and those which are flows. A stock variable is measured at one specific time, and represents a quantity existing at that point in time, which may have been capital accumulation in the past....
. These elements help describe how even seemingly simple systems display baffling nonlinearity
Nonlinearity

In mathematics, a nonlinear system is a system which is not linear system, that is, a system which does not satisfy the superposition principle, or whose output is not proportional to its input....
.

em dynamics is a powerful methodology and computer simulation modeling technique for framing, understanding, and discussing complex issues and problems. Originally developed in the 1950s to help corporate managers improve their understanding of industrial processes, system dynamics is currently being used throughout the public and private sector for policy analysis and design.

System dynamics is an aspect of systems theory
Systems theory

Systems theory is an interdisciplinary field of science and the study of the nature of complex systems in nature, society, and science. More specifically, it is a framework by which one can analyze and/or describe any group of objects that work in concert to produce some result....
 as a method for understanding the dynamic behavior of complex systems. The basis of the method is the recognition that the structure of any system — the many circular, interlocking, sometimes time-delayed relationships among its components — is often just as important in determining its behavior as the individual components themselves.






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Encyclopedia


System dynamics is an approach to understanding the behaviour of complex system
Complex system

A complex system is a system composed of interconnected parts that as a whole exhibit one or more properties not obvious from the properties of the individual parts....
s over time. It deals with internal feedback loops and time delays that affect the behaviour of the entire system. What makes using system dynamics different from other approaches to studying complex systems is the use of feedback
Feedback

Feedback describes the situation when output from an event or phenomenon in the past will influence the same event/phenomenon in the present or future....
 loops and stocks and flows
Stock and flow

Economics, business, accounting, and related fields often distinguish between quantities which are stocks and those which are flows. A stock variable is measured at one specific time, and represents a quantity existing at that point in time, which may have been capital accumulation in the past....
. These elements help describe how even seemingly simple systems display baffling nonlinearity
Nonlinearity

In mathematics, a nonlinear system is a system which is not linear system, that is, a system which does not satisfy the superposition principle, or whose output is not proportional to its input....
.

Overview

System dynamics is a powerful methodology and computer simulation modeling technique for framing, understanding, and discussing complex issues and problems. Originally developed in the 1950s to help corporate managers improve their understanding of industrial processes, system dynamics is currently being used throughout the public and private sector for policy analysis and design.

System dynamics is an aspect of systems theory
Systems theory

Systems theory is an interdisciplinary field of science and the study of the nature of complex systems in nature, society, and science. More specifically, it is a framework by which one can analyze and/or describe any group of objects that work in concert to produce some result....
 as a method for understanding the dynamic behavior of complex systems. The basis of the method is the recognition that the structure of any system — the many circular, interlocking, sometimes time-delayed relationships among its components — is often just as important in determining its behavior as the individual components themselves. Examples are chaos theory
Chaos theory

In mathematics, chaos theory describes the behavior of certain dynamical system s ? that is, systems whose states evolve with time ? that may exhibit dynamics that are highly sensitive to initial conditions ....
 and social dynamics
Social dynamics

Social dynamics is the study of the ability of a society to react to inner and outer changes and deal with its regulation mechanisms. Social dynamics is a mathematics inspired approach to analyse societies, building upon systems theory and sociology....
. It is also claimed that because there are often properties-of-the-whole which cannot be found among the properties-of-the-elements, in some cases the behavior of the whole cannot be explained in terms of the behavior of the parts.

History

System dynamics was created during the mid-1950s by Professor Jay Forrester of the Massachusetts Institute of Technology
Massachusetts Institute of Technology

The Massachusetts Institute of Technology is a private university research university located in Cambridge, Massachusetts, Massachusetts, United States....
. In 1956, Forrester accepted a professorship in the newly-formed MIT School of Management. His initial goal was to determine how his background in science and engineering could be brought to bear, in some useful way, on the core issues that determine the success or failure of corporations. Forrester's insights into the common foundations that underlie engineering and management, which led to the creation of system dynamics, were triggered, to a large degree, by his involvement with managers at General Electric
General Electric

The General Electric Company, or GE is a multinational corporation United States technology and Service s conglomerate incorporated in the State of New York....
 during the mid-1950s. At that time, the managers at GE were perplexed because employment at their appliance plants in Kentucky exhibited a significant three-year cycle. The business cycle
Business cycle

The term business cycle or economic cycle refers to economy-wide fluctuations in production or economic activity over several months or years, around a long-term growth trend....
 was judged to be an insufficient explanation for the employment instability. From hand simulations (or calculations) of the stock-flow-feedback structure of the GE plants, which included the existing corporate decision-making structure for hiring and layoffs, Forrester was able to show how the instability in GE employment was due to the internal structure of the firm and not to an external force such as the business cycle. These hand simulations were the beginning of the field of system dynamics.

During the late 1950s and early 1960s, Forrester and a team of graduate students moved the emerging field of system dynamics, in rapid fashion, from the hand-simulation stage to the formal computer modeling stage. Richard Bennett
Richard Bennett

Richard Bennett may refer to:* Richard A. Bennett, politician from Maine, former president of the Maine Senate* Richard Bennett , film star and father of actresses Constance Bennett and Joan Bennett...
 created the first system dynamics computer modeling language called SIMPLE (Simulation of Industrial Management Problems with Lots of Equations) in the spring of 1958. In 1959, Phyllis Fox and Alexander Pugh wrote the first version of DYNAMO (DYNAmic MOdels), an improved version of SIMPLE, and the system dynamics language that became the industry standard for over thirty years. Forrester published the first, and still classic, book in the field titled Industrial Dynamics in 1961.

From the late 1950s to the late 1960s, system dynamics was applied almost exclusively to corporate/managerial problems. In 1968, however, an unexpected occurrence caused the field to broaden beyond corporate modeling. John Collins
John Collins

Persons named John Collins*Canon John Collins, , UK radical Anglican cleric*John Churton Collins , English literary critic*John Collins , , American manufacturer and Governor of Delaware....
, the former mayor of Boston, was appointed a visiting professor of Urban Affairs at MIT. The result of the Collins-Forrester collaboration was a book titled Urban Dynamics. The Urban Dynamics model presented in the book was the first major non-corporate application of system dynamics.

The second major noncorporate application of system dynamics came shortly after the first. In 1970, Jay Forrester was invited by the Club of Rome
Club of Rome

The Club of Rome is a global think tank that deals with a variety of international political issues. It was founded in April 1968 and raised considerable public attention in 1972 with its report Limits to Growth....
 to a meeting in Bern, Switzerland. The Club of Rome is an organization devoted to solving what its members describe as the "predicament of mankind" -- that is, the global crisis that may appear sometime in the future, due to the demands being placed on the earth's carrying capacity (its sources of renewable and nonrenewable resources and its sinks for the disposal of pollutants) by the world's exponentially growing population. At the Bern meeting, Forrester was asked if system dynamics could be used to address the predicament of mankind. His answer, of course, was that it could. On the plane back from the Bern meeting, Forrester created the first draft of a system dynamics model of the world's socioeconomic system. He called this model WORLD1. Upon his return to the United States, Forrester refined WORLD1 in preparation for a visit to MIT by members of the Club of Rome. Forrester called the refined version of the model WORLD2. Forrester published WORLD2 in a book titled World Dynamics.

Topics in systems dynamics

The elements of system dynamics diagrams are feedback, accumulation of flows into stocks and time delays.

As an illustration of the use of system dynamics, imagine an organisation that plans to introduce an innovative new durable consumer product. The organisation needs to understand the possible market dynamics in order to design marketing and production plans.

Causal loop diagrams

A causal loop diagram is a visual representation of the feedback loops in a system. The causal loop diagram of the new product introduction may look as follows:

There are two feedback loops in this diagram. The positive reinforcement (labeled R) loop on the right indicates that the more people have already adopted the new product, the stronger the word-of-mouth impact. There will be more references to the product, more demonstrations, and more reviews. This positive feedback should generate sales that continue to grow.

The second feedback loop on the left is negative reinforcement (or "balancing" and hence labeled B). Clearly growth can not continue forever, because as more and more people adopt, there remain fewer and fewer potential adopters.

Both feedback loops act simultaneously, but at different times they may have different strengths. Thus one would expect growing sales in the initial years, and then declining sales in the later years.

Stock and flow diagrams

The next step is to create what is termed a stock and flow
Stock and flow

Economics, business, accounting, and related fields often distinguish between quantities which are stocks and those which are flows. A stock variable is measured at one specific time, and represents a quantity existing at that point in time, which may have been capital accumulation in the past....
 diagram. A stock is the term for any entity that accumulates or depletes over time. A flow is the rate of change in a stock.

In our example, there are two stocks: Potential adopters and Adopters. There is one flow: New adopters. For every new adopter, the stock of potential adopters declines by one, and the stock of adopters increases by one.

Equations

The real power of system dynamics is utilised through simulation. Although it is possible to perform the modeling in a spreadsheet
Spreadsheet

A spreadsheet is a computer application that simulates a paper worksheet. It displays multiple cells that together make up a grid consisting of rows and columns, each cell containing either alphanumeric text or numeric values....
, there is a variety of software packages that have been optimised for this.

The steps involved in a simulation are:
  • Define the problem boundary
  • Identify the most important stocks and flows that change these stock levels
  • Identify sources of information that impact the flows
  • Identify the main feedback loops
  • Draw a causal loop diagram that links the stocks, flows and sources of information
  • Write the equations that determine the flows
  • Estimate the parameters and initial conditions. These can be estimated using statistical methods, expert opinion, market research data or other relevant sources of information.
  • Simulate the model and analyse results


The equations for the causal loop example are:

















Simulation results

The simulation results show that the behaviour of the system would be to have growth in adopters that follows a classical s-curve shape. The increase in adopters is very slow initially, then exponential growth for a period, followed ultimately by saturation.

Application

System dynamics has found application in a wide range of areas, for example population
Population dynamics

Population dynamics is the branch of life sciences that studies short- and long-term changes in the size and age composition of populations, and the biology and environment processes influencing those changes....
, ecological
Ecology

Ecology is the science study of the distribution and Abundance of life and the interactions between organisms and their nature environment ....
 and economic
Economics

File:Ballard Farmers' Market - vegetables.jpgEconomics is the Social sciences that studies the Production theory basics, Distribution , and Consumption of Good and Service ....
 systems, which usually interact strongly with each other.

System dynamics have various "back of the envelope" management applications. They are a potent tool to:
  • Teach system thinking reflexes to persons being coached
  • Analyze and compare assumptions and mental models about the way things work
  • Gain qualitative insight into the workings of a system or the consequences of a decision
  • Recognize archetypes of dysfunctional systems in everyday practice


Computer software is used to simulate
Computer simulation

A computer simulation, a computer model or a computational model is a computer program, or network of computers, that attempts to simulation an abstract model of a particular system....
 a system dynamics model
Model (abstract)

In mathematical logic, the formal languages, formal systems, and theory which are studied have no meaningful content until they are given an interpretation within some other system....
 of the situation being studied. Running "what if" simulations to test certain policies on such a model can greatly aid in understanding how the system changes over time. System dynamics is very similar to systems thinking
Systems thinking

Systems Thinking is any process of estimating or inferring how local policies, actions, or changes influences the state of the neighboring universe....
 and constructs the same causal loop diagram
Causal loop diagram

A causal loop diagram is a diagram that aids in visualizing how interrelated variables affect one another. The diagram consists of a set of Node representing the variables connected together....
s of systems with feedback. However, system dynamics typically goes further and utilises simulation to study the behaviour of systems and the impact of alternative policies.

System dynamics has been used to investigate resource dependencies, and resulting problems, in product development. .

Example


The figure above is a causal loop diagram of a system dynamics model created to examine forces that may be responsible for the growth or decline of life insurance companies in the United Kingdom
United Kingdom

The United Kingdom of Great Britain and Northern Ireland, commonly known as the United Kingdom , the UK or Britain,is a sovereign state located off the northwestern coast of continental Europe....
. A number of this figure's features are worth mentioning. The first is that the model's negative feedback loops are identified by "C's," which stand for "Counteracting" loops. The second is that double slashes are used to indicate places where there is a significant delay between causes (i.e., variables at the tails of arrows) and effects (i.e., variables at the heads of arrows). This is a common causal loop diagramming convention in system dynamics. Third, is that thicker lines are used to identify the feedback loops and links that author wishes the audience to focus on. This is also a common system dynamics diagramming convention. Last, it is clear that a decision maker would find it impossible to think through the dynamic behavior inherent in the model, from inspection of the figure alone.

See also

Related subjects
  • Causal loop diagram
    Causal loop diagram

    A causal loop diagram is a diagram that aids in visualizing how interrelated variables affect one another. The diagram consists of a set of Node representing the variables connected together....
  • Ecosystem model
    Ecosystem model

    Ecosystem models, or ecological models, are mathematics representations of ecosystems. Typically they simplify complex food web down to their major components or trophic levels, and quantify these as either numbers of organisms, biomass or the inventory/concentration of some pertinent chemical element ....
  • System Dynamics Society
    System Dynamics Society

    The System Dynamics Society is a not-for-profit organization based in Albany, New York, USA, whose mission is to further research into system dynamics and systems thinking....
  • Twelve leverage points
    Twelve leverage points

    The twelve leverage points to intervene in a system were proposed by Donella Meadows, a scientist and system analyst focused on environmental limits to economic growth....
  • Wicked problems
  • World3
    World3

    The World3 model was a computer simulation of interactions between population, industrial growth, food production and limits in the ecosystems of the Earth....
Related fields
  • Dynamical systems theory
    Dynamical systems theory

    Dynamical systems theory is an area of applied mathematics used to describe the behavior of complex systems dynamical systems, usually by employing differential equations or difference equations....
  • Operations research
    Operations research

    Operations Research in the USA, South Africa and Australia, and Operational Research in Europe and Canada, is an interdisciplinary branch of applied mathematics and formal science that uses methods such as mathematical modeling, statistics, and algorithms to arrive at optimal or near optimal solutions to complex problems....
  • Social dynamics
    Social dynamics

    Social dynamics is the study of the ability of a society to react to inner and outer changes and deal with its regulation mechanisms. Social dynamics is a mathematics inspired approach to analyse societies, building upon systems theory and sociology....
  • Systems theory
    Systems theory

    Systems theory is an interdisciplinary field of science and the study of the nature of complex systems in nature, society, and science. More specifically, it is a framework by which one can analyze and/or describe any group of objects that work in concert to produce some result....
  • Systems thinking
    Systems thinking

    Systems Thinking is any process of estimating or inferring how local policies, actions, or changes influences the state of the neighboring universe....
Related scientists
  • Jay Forrester
  • Dennis Meadows
    Dennis Meadows

    Dennis Meadows is an American scientist and professor of Systems Management and director of the Institute for Policy and Social Science Research at the University of New Hampshire....
  • Donella Meadows
    Donella Meadows

    Donella "Dana" Meadows was a pioneering American environmental scientist, teacher and writer. She is best known as lead author of the influential book Limits to Growth, which made headlines around the world....
  • Peter Senge
    Peter Senge

    Peter Michael Senge is an American scientist and director of the Center for Organizational Learning at the MIT Sloan School of Management. He is known as author of the book The Fifth Discipline from 1990 ....
  • John Sterman
    John Sterman

    John David Sterman is the Jay W. Forrester Professor of Management, and the current director of the MIT System Dynamics Group at the MIT Sloan School of Management....


Further reading


External links

Organisations


Articles
  • "An Annotated Survey of the Essential System Dynamics Literature"


Software
  • [https://sourceforge.net/projects/sphinxes/ Sphinx SD Tools]