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The World3
model A model is an informative representation of an object, person or system. The term originally denoted the plans of a building in late 16th-century English, and derived via French and Italian ultimately from Latin ''modulus'', a measure. Models c ...
is a
system dynamics System dynamics (SD) is an approach to understanding the nonlinear behaviour of complex systems over time using stocks, flows, internal feedback loops, table functions and time delays. Overview System dynamics is a methodology and mathematica ...
model for
computer simulation Computer simulation is the process of mathematical modelling, performed on a computer, which is designed to predict the behaviour of, or the outcome of, a real-world or physical system. The reliability of some mathematical models can be deter ...
of interactions between population, industrial growth, food production and limits in the
ecosystem An ecosystem (or ecological system) consists of all the organisms and the physical environment with which they interact. These biotic and abiotic components are linked together through nutrient cycles and energy flows. Energy enters the syst ...
s of the earth. It was originally produced and used by a
Club of Rome The Club of Rome is a nonprofit, informal organization of intellectuals and business leaders whose goal is a critical discussion of pressing global issues. The Club of Rome was founded in 1968 at Accademia dei Lincei in Rome, Italy. It consists ...
study that produced the model and the book '' The Limits to Growth'' (1972). The creators of the model were
Dennis Meadows Dennis Lynn Meadows (born June 7, 1942) is an American scientist and Emeritus Professor of Systems Management, and former director of the Institute for Policy and Social Science Research at the University of New Hampshire. He is President of ...
, project manager, and a team of 16 researchers. The model was documented in the book ''Dynamics of Growth in a Finite World''. It added new features to Jay W. Forrester's World2 model. Since World3 was originally created, it has had minor tweaks to get to the World3/91 model used in the book '' Beyond the Limits'', later improved to get the World3/2000 model distributed by the Institute for Policy and Social Science Research and finally the World3/2004 model used in the book ''Limits to Growth: the 30 year update''. World3 is one of several global models that have been generated throughout the world (Mesarovic/Pestel Model, Bariloche Model, MOIRA Model, SARU Model, FUGI Model) and is probably the model that generated the spark for all later models .


Model

The model consisted of several interacting parts. Each of these dealt with a different system of the model. The main systems were *the
food system The term food system describes the interconnected systems and processes that influence nutrition, food, health, community development, and agriculture. A food system includes all processes and infrastructure involved in feeding a population: growi ...
, dealing with agriculture and food production *the industrial system *the population system *the non-renewable resources system *the pollution system


Agricultural system

The simplest useful view of this system is that land and
fertilizer A fertilizer (American English) or fertiliser (British English; see spelling differences) is any material of natural or synthetic origin that is applied to soil or to plant tissues to supply plant nutrients. Fertilizers may be distinct from ...
are used for
farm A farm (also called an agricultural holding) is an area of land that is devoted primarily to agricultural processes with the primary objective of producing food and other crops; it is the basic facility in food production. The name is use ...
ing, and more of either will produce more food. In the context of the model, since land is finite, and industrial output required to produce fertilizer and other
agricultural Agriculture or farming is the practice of cultivating plants and livestock. Agriculture was the key development in the rise of sedentary human civilization, whereby farming of domesticated species created food surpluses that enabled peopl ...
inputs can not keep up with demand, there necessarily will be a food collapse at some point in the future.


Nonrenewable resources system

The nonrenewable resource system starts with the assumption that the total amount of resources available is finite (about 110 times the consumption at 1990s rates for the World3/91 model). These resources can be extracted and then used for various purposes in other systems in the model. An important assumption that was made is that as the nonrenewable resources are extracted, the remaining resources are increasingly difficult to extract, thus diverting more and more industrial output to resource extraction.


Reference run predictions

The ''Dynamics of Growth in a Finite World'' provides several different scenarios. The "reference run" is the one that "represent the most likely behavior mode of the system if the process of industrialization in the future proceeds in a way very similar to its progress in the past, and if technologies and value changes that have already been institutionalized continue to evolve." In this scenario, in 2000, the world population reaches six billion, and then goes on to peak at seven billion in 2030. After that population declines because of an increased death rate. In 2015, both industrial output per capita and food per capita peak at US$375 per person (1970s dollars, about $ today) and 500 vegetable-equivalent kilograms/person. Persistent pollution peaks in the year 2035 at 11 times 1970s levels.


Criticism of the model

There has been criticism of the World3 model. Some has come from the model creators themselves, some has come from economists and some has come from other places. In the book ''Groping in the Dark: The First Decade of Global Modelling'',
Donella Meadows Donella Hager "Dana" Meadows (March 13, 1941 – February 20, 2001) was an American environmental scientist, educator, and writer. She is best known as lead author of the books ''The Limits to Growth'' and '' Thinking In Systems: A Primer''. ...
(a ''Limits'' author) writes:
We have great confidence in the basic qualitative assumptions and conclusions about the instability of the current global socioeconomic system and the general kinds of changes that will and will not lead to stability. We have relatively great confidence in the feedback-loop structure of the model, with some exceptions which I list below. We have a mixed degree of confidence in the numerical parameters of the model; some are well-known physical or biological constants that are unlikely to change, some are statistically derived social indices quite likely to change, and some are pure guesses that are perhaps only of the right order of magnitude. The structural assumptions in World3 that I consider most dubious and also sensitive enough to be of concern are: *the constant capital-output ratio (which assumes no diminishing returns to capital) *the residual nature of the investment function *the generally ineffective labour contribution to output
A detailed criticism of the model is in the book ''Models of Doom: A Critique of the Limits to Growth''. Czech-Canadian scientist and policy analyst Vaclav Smil disagreed with the combination of physically different processes into simplified equations: He does however consider continuous growth in world GDP a problem: Others have put forth criticisms, such as Henshaw, King, and Zarnikau who in a 2011 paper, ''Systems Energy Assessment'' point out that the methodology of such models may be valid empirically as a world model, but might not then also be useful for decision making. The impact data being used is generally collected according to where the impacts are recorded as occurring, following standard I/O material processes accounting methods. It is not reorganized according to who pays for or profits from the impacts, so who is actually responsible for economic impacts is never determined. In their view *The economic motives causing the impacts, that might also control them, would then not be reflected in the model. *As a seeming technicality, it could bring into question the use of many kinds of economic models for sustainability decision-making. The authors of the book ''Surviving 1,000 Centuries'' consider some of the predictions too pessimistic, but some of the overall message correct. At least one study disagrees with the criticism. Writing in the journal ''Global Environmental Change'', Turner notes that "30 years of historical data compare favorably with key features of the 'business-as-usual' scenario called the 'standard run' produced by the World3 model".


Validation

A number of researchers have attempted to test the predictions of the World3 model against observed data, with varying conclusions. One of the more recent of these, published in Yale's ''
Journal of Industrial Ecology The ''Journal of Industrial Ecology'' is a bimonthly peer-reviewed academic journal covering industrial ecology. It is published by Wiley-Blackwell on behalf of the Yale School of the Environment and is an official journal of the International So ...
'', found that current empirical data is broadly consistent with the 1972 projections, and that if major changes to the consumption of resources are not undertaken, economic growth will peak and then rapidly decline by around 2040. Study also availabl
here
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References


External links and references


"Basic Literature" : selected bibliography on limits to growth with short summary on each publication - published by All-Party Parliamentary Group (APPG)
* ''Dynamics of Growth in a Finite World'', by Dennis L. Meadows, William W. Behrens III, Donella H. Meadows, Roger F. Naill, Jorgen Randers, and Erich K.O. Zahn. 1974 * ''World Dynamics'', by Jay Wright Forrester. 1973
The Limits to Growth
(Abstract, 8 pages, by Eduard Pestel. A Report to The Club of Rome (1972), by Donella H. Meadows, Dennis l. Meadows, Jorgen Randers, William W. Behrens III)
Limits to Growth, The 30-Year Update
by Dennis Meadows and Eric Tapley. 2004 CDRom with World3-2004 model.

This adds a change resistance subsystem to World3 in order to more correctly analyze and simulate why sustainability science has so far been unable to solve the
sustainability Specific definitions of sustainability are difficult to agree on and have varied in the literature and over time. The concept of sustainability can be used to guide decisions at the global, national, and individual levels (e.g. sustainable livi ...
problem.


Model implementations


Javascript world 3 simulator

Interactive online World3 simulation
* - Python version of World3 * - A second Python version of World3


Implementation of the World3 model
in the simulation language
Modelica Modelica is an object-oriented, declarative, multi-domain modeling language for component-oriented modeling of complex systems, e.g., systems containing mechanical, electrical, electronic, hydraulic, thermal, control, electric power or process- ...
* - Julia version of World3 and World2 {{population Economics models Environmental economics Systems theory Simulation software Energy models