Panel, "The Dynamics of Complex Systems", ISSS 2006 at Sonoma State University, Monday, July 9, 2006, 9:35 a.m.
ISSS Sonoma 2006, Plenary: "The Dynamics of Complex Systems"
These participant's notes were created in real-time during the meeting,
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These should not be viewed as official transcripts of the meeting, but
only as an interpretation by a single individual. Lapses, grammatical
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about content should be directed to the originator. These notes have
been contributed by David Ing (daviding@systemicbusiness.org) at the
Systemic Business Community ( http://systemicbusiness.org ).
Introduction:
- Ralph Abrama, Professor Emeritus, Mathematics, U.C. Santa Cruz
- Yaneer Bar Yam, New England Complex Systems Institute
- George Richardson, Systems Dynamics Group
- Geoffrey West, President, Santa Fe Institute
[Debora Hammond]
Bringing together people from many systems organizations
- Today, complexity organizations
Each speaker will be about 20 minutes, then break
- Cluster in groups of 4 to 6
- How does the concept of complexity fit into your own life?
[introduction by the autopoetics]
[Ralph Abraham]
30 years ago, talked with Fritjof Capro: chaos is okay
- Beginning of the chaos revolution
Chaos is not okay was a serious impediment to development of systems
History: evolutionary processes with plateaus, birfurcations and complex dynamics that happen infrequently
- Birfurcation: e.g. quantum leap
- Ervin Lazslo, The Birfurcation Age: dynamical literacy, okay to use mathematical words, without being fully literate in those terms
- We need new words for new ideas
- The fact that they've been developed exquisitely in mathematics, doesn't means that we can't use them without math anxiety
Moved into amateur world history
- 1990 book: chaos was one the big events
Chaos was not okay for 6000 years
- Many philosophical ideas that couldn't be published, because the main idea was not okay
- In 1970s, papers in the closet, because they had the idea of oscillation
- There was a time when circular thinking wasn't okay: had to be experimental error, wouldn't allow renewal of grants
1974: Chaos avante-garde
- "Chaos" was used in the title of a paper in the proceedings of the National Academy
- A flood of new ideas, which came out of the closet, now shared
This explosion needs some order
- Something like ISSS is important for the creation of the future
- As ISSS shrank year by year, now see a turnaround
- ISSS towards its true destiny: previous revolutions have been hampered by the communication channel
- Now have the worldwide web, instantaneous communications
- ISSS as a society of societies, if we apply our own intelligence towards our own process
Advertising for chaos theory
- Empowered by the new mathematical idea
- This could become the neural network for the emergence order out of the philosophical chaose in our society
- Complexity and sustainability are coupled
- Cognitive strategies
Advertise agent-based modeling
- Will allow social sciences to have the leap forward that physics and biology has had
[Debora Hammond]
NECSI: similar goals to ISSS
[Yaneer Bar Yam]
Focus on policy issues
- Values: what we should achieve
- Effective: the scientific side
Organization and function
Book on what we've been trying to do to create scientific context: Making Things Work
Looking for postdocs
Free markets versus central control
- Used to be dogmatic, now pragmatic issue
- When you have a system with a large of interdependence, and try to put someone in control, there's a communication issue
- Bandwidth issue
Classical example: Soviet Union
- Gorbachev realized couldn't manage agriculture centrally
- Had 5 year plan, originally belived a free market was wasteful
- This didn't work
- Supermarket would have 100 kinds of foods, but poor availability, a lot of spoilage
- In a stable environment, planning works
Graph: Complexity as a function of scale
- A lot of people doing the same thing: a Roman phalanx, all going the same direction
- Green curve, same behaviour at all scales
- Compare to people in a mall: at the whole, not doing much, but a lot of fine-scale behaviour
- Somewhere in the middle, a dance
Which system for moving at large scale:
- A wolf or a baseball player
- A wolf has 4 feet on the ground, a baseball player gives up 2 hats to hold a bat
Military examples
- Send in large forces, or send in special forces
- Tanks from Russian are rusting in Afghanistan
Health care system
- Expensive, and not doing very well
- Instead of worrying about people dying in Iraq, 50,000 to 100,000 people are dying here from medical errors
- That's an airplane flying into the ground every day
- It's now worse, doubled
- People given wrong prescriptions
- Documented errors are 8% to 10%, believe that it's actually 30% to 40%
Medical system 100 years ago
- Patient doctor, with straightforward payment
- Today: money flow from employer to insurer to doctor
- From
the point of view of scale and complexity: patient-doctor is
complex, but insurer-doctor is a rate paid once per month
- Hooking up a large scale process to the highly complex process? Turbulence
- Employer-insurer controls the process: it goes up 8% per year
- Doctors have to make decisions based on aggregate measures
- Managed care: time is managed
- This doesn't work
How to solve the problem?
- Separate two different aspects of the system
- Different organizations for different tasks
- When things don't work, some people point to self-motivation, but look at aggregate behaviour
- Public or private financing isn't the issue; organizational issue is
- Healthy people can be handled in large scale: inoculations, etc, doesn't require doctors
- Thus, need a large scale clinic
- e.g. Walmart
- Public health as things that can be do at a population level
- Then leave the doctors to do judgement-based work
Education system reform
- It works so well for health care, we'll do the same thing for education: centralized management
- Standardized testing
- In military, learn quickly from mistakes, but in education it takes decades
- Focus on uniformization, industrial era
- Destroying what we want our system to be
- This is a scientific statement about what is effective
Create diversity and create effectiveness
- Dictatorship, anarchy and democracy: three old frames
- Niche selection
Have done other work:
- Third world development
- 9/11 report: one recommendation to create a czar of intelligence, but see what happened to the czars
- Have to get beyond centralization
Global systems
Four color map of the world: Christian, Islam, Far Eastern, and indigenous
- Violence is at the boundary of the Islamic world (with drug wars in South America)
- Not values, it's a statement
- Boundaries are better defined
Model: separation of types
- Preference of going to more of the same types
- Like matter and vacuum in space, somewhat like oil and water
- Scaling behaviour
- Universal law, applied to social systems
- Then violence doesn't occur when the system is fully mixed, or fully separated
- Detect populations of that size: wavelet (Mexican hat), can see where violence is likely
History: map of Yugoslavia
- Agent representation
- Compare to newspapers: close
Work on pandemics: disease propogation
- Different types of disease, pathogens
- Over time, people die, exhaust local resources
- Added long range links from people
- System is unstable, transition to extinction
- Even though transportation is a problem, there is a threshold over which the system becomes unstable
[10:25]
[George Richardson]
Systems Dynamics Society, Albany
[George Richardson]
Dynamic complexity
- Want to get to simpler level, but we don't do very well with them
Real world, have information feedback, make decisions
- Information influences mental models
- Mental models influences strategy, strucutre, decision rules
- Lots missing
- Decisions made partially, principal-agent issues
- Mental models have misperceptiions, errors
- We're bad at inferring dynamics from mental models
Instead: we build virtual worlds
- A virtual world creates a loop that is faster than the real world
- Can vary complexity and do controlled experimentation, to learn faster
Dilbert
Dynamic complexity (from Sterman)
- Change
over time, tighly coupled, governed by feedback, nonlinear,
history-dependent (stuck in path), self-organizing, adaptive,
counterintuitive, policy resistant, characterized by tradeoff
Systems dynamics: try to move from specific events and decisions, to patterns over time
- Policy structure
- Self-reinforcing and self-balancing
- Let's hunt for feedback loops (like cruise control) that will automatically compensate for initiatives
- Try to think in stocks and flows: at the aggregate end of the agent-based models
Systems dynamics process
- Two kinds of evaluation: strcuture validating, and behaviour validating over time
We don't come all of out the same systems background
- Feedback
- 6 lines of thinking
- Servomechanics and cybernetics
Forrester: closed boundary, then structure feedback loops, find stocks, find flows, look at decision-making goals
Most interested in the closed causal boundary:
- Some confusion: aren't closed systems, they exchange material and energy
- They're closed mental boundaries, closed causal boundaries
- All causality forms loop
Systems thinking as trying to uncover endogenous sources of systems behaviour
- Not interested in the exogenous, from outside the system
e.g. New York City population
- Every city peaks and declines, some come back
- Forrester: the first non-corporate study of systems dynamics
Global atmospheric methane
Global average temperature
Strive for dynamic insights
Stocks and flows
- Things that are simple, but we don't do very well
- Jack Homer: patterns of drug prevalence in the 1980s-1990s
- 1980s, we were winning the war on drugs, people were reporting less drug use
- Asked have you used within the last month
- Homer asked, have you ever used drugs
- Had ever used date declined
- Have you ever used: it's a bathtub
- Past users: deaths and people leaving the United States
- Homer
figured out a misrepresentation, a mendacity multiplier, found that we
weren't winning the war on drugs, the use was going up
Nick Pudar, General Motors
- Two successes, recently, one in leasing
- Asked by a chief to say something about leasing
- GM thinks: builds cars, goes into new car inventory, then purchase/lease and car goes away
- Says that GM is not in the used car business
- More realistically, there's a used inventory
- GM was interesed in the leasing dynamic: more lucrative to lease cars on shorter terms
- Pudar found as the trade cycle gets shorter, the lease value of cars gets higher, thus impacts new car sales
- e.g. Ford in 1997 price of cars the same, because had to compete with leased cars
- Thus GM increased lease lengths before anyone else did
Stocks and flows in global warming
- Sterman
has done some serious work on this: what happens if we reduce CO2
production, not be reducing economic activity, but its environmental
intensity
- Shutting off CO2 production: means that CO2 production should peak, and then causes a drop
- What should happen: temperature should continue to rise, and may never turn around
- The outgoing global heat energy has to rise to be more than inflow: there's a time lag
- Kyoto, dropping 10% to 20%: have to drop by 50% to match the outflow, thus it will keep going
(skipping over slides)
Three counties in New York State on welfare reform
- Federal max five years in lifetime on welfare
- But state has to care for poor, in constitution
- Did three policy mixes: invest to speed people out, in middle or at edges
- Classic worse before better
- People in welfare, then in marginal jobs
- For 1.5 years, people on family assistance decreases, but then reversal, and end up with more families of risk
- Why? Swamping the downstream
(10:55)
Geoffrey West, president of the Santa Fe Institute
- Lots of work on scaling in social systems
[Geoffrey West]
(using overhead slides)
Will
address fundamental challenge: really coming to grip with the
science under complex systems, and put it into the more traditional
mathematical predictive framework
Spent almost entire career in high energy physics: reductionistic
- Last 5 to 10 years, took some of those ideas into biology, and questions of social organization
- To what extent can biology and social systems be put into a mathematical framework?
- Social organization as an extension of biology? Just a metaphor? Substance?
Strongly influenced by greatest discovery in 300 to 400 years: the language of the universe is mathematics
- Search for finding the appropriate mathematics
- Physics deals with the simplest
Simplicity and complexity
Life is the most complex system:
Forests
- Is there structure there that we can understand
Map of Santa Fe
Diagram of a rat's muscle
Can we estimate a theory that is mathematical and predictive? Daunting
- A window, through simplicity
Metabolic rate: how much energy does it take to keep a system alive
- Metabolic rate versus body mass
- Simplicity in scaling
- Every subsystem of subsystem is involved in its environmental niche
- Power law; slope (gradient) is 3/4 in log scale
- Remarkable, a non-linear relationship: all mammals are made of the same thing
- Doubling the number of cells doesn't mean doubling the metabolic rate
- Same pattern down to mammalian cell, mitochondria, respiratory enzyme
Need to operate about the same as a light bulb: 80 to 90 watts, similar to 2000 calories
- Extraordinary efficiency in humans
- Metabolic rate per unit mass of human tissue
- It costs less to support a unit mass of tissue on large animals
- Small may be beautiful, but large is always more efficient
If you look an any other physiological rate, e.g. heart rate, get a simple power law
- Heart rate vs. body weight
- Similar with life span
Kleiber's law: Body mass is related to Metabolism ** (3/4)
Special number 4
Heart rate vs. body rate, 1/4 power law
- Increase weight by 10,000, metabolic rate by 1000
- All scales, all rates (including the rate of evolution) have 1/4 power law
- Life span: changes with time, by increasing 1/4 power
- Life span * heart beat = number of the heart beats in a life time, which is approximately invariant
- Pace of size decreases with size
This work was done with ecologist Jim Brown, and Brian Equist
- All of these laws are actually reflections of the generic universal properties that sustain all of life
Four principles
- (1) Life at all scale is sustained by hierarchical branching networks.
- These networks have to be spaced right: every local site of the organism, at whatever scale
- (2) The kernel unit of the network are invariant (e.g. mitochondria): system works on evolving the network, not the kernel
- (3) There's a finitude of possible networks, and some are optimized
- We, as mammals, one minimizes the amount of energy to keep blood going
- Minimization principles are the basis for writing down equations of motion
- Can then determine
- (4) ?
4=3+1
- Three dimensions, and then space has to go everywhere (i.e. fractal)
- Radius, length, pulse rate, there's a formula, can get one for the average rhinoceros
- Economy of scale, dissipation of energy, but dissipation decreases with scale
Network is primary
- Network controls the output of cells
- Average metabolic power decreases with size
- Truly not reductionist: cell doesn't determine properties of the organism, it's the other way around
- The bigger animal, the less each cell has to do
- If remove the network, so that it no longer controls the cell (e.g. cultivate in vitro) they will be the same
Growth rate of a rat: sigmoidal curve
- Network, resources come down
- Some energy comes in to feed the cells
- Growing phases, makes new cells
- General model for growth, with all parameters determined
- Plot: everything grows at the same rate, mammals, insects, etc.: a unity of life
How is cancer different from the growth of normal human tissue?
Social organizations
- We have evolved to the right metabolic rate, the right size
- 10,000 years ago, we started to create social organization, changing our idea of metabolic rate
- To stay alive, need 10,000 watts, e.g. in a building, air conditioning -- which means that we're each larger than a blue whale
- Populations are adjusted according to 1/4 power law
- Violating those laws screws up the system
Are there analogs to these power laws, in social organizations?
- Indicators: salaries, taxes, length of electrical cables ... versus city size
- For those variables that are biological (e.g. functioning of city, city cables, plumbing), powers are less than one
- For those social (e.g. GDP) with no analog in biology have powers greater than 1
Thus, a taxonomy of scaling
- Linear: The bigger you are, the more you want, fundamentally greed (non-innovative)
In biology, the rate of living is determined
- Pace of life slows with biological
- e.g. walking speed, things in cities move faster
Growth, it's the same as in biology
- Some energy into replacement, some into growth
- Previously, saw growth and then levels off
- Social organizations have no slacking off, can continue to grow, but not forever
- Can go to infinity in a finite period of time: will run out of resources
- Thus need to innovate, e.g. create steam engines, so that reset the clock with cycles of innovation
- On a treadmill, always have to innovate
- But the time between innovations gets shorter and shorter
- Time between changes accelerates, can't continue this, will lead to collapse
e.g. population of New York City increases, but resets the clock
We are victims of this phenomenon
- Even trivial increases in software come faster
- This becomes more and more difficult at age 65
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