sustainability/complex-vision/index.html
| Pattern | Metaphors/Examples |
| a. linear | linear dose-response |
| b. increasing slope | population growth light or heat with distance |
| c. pulsing | predator-prey interactions resource bubbles |
| d. threshold | toxic dose response fisheries collapse vegetation in a shallow lake |
| e. fractal | tree branching river basin erosion |
| f. spatial patchiness | landscape mosaic |
| g. network resilience | food web response to stress |
| h. symmetry and centers | phylotaxis Piazza St. Mark |
| i. multi-agent behavior | swarming flocking stigmergy |
Table 2: Icon and short description of each pattern. (Each of these will be presented as a page the gives a more complete description, a well recognized metaphor, several examples and a simulation that generates the pattern.)
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a. Linear patterns occur in nature but also as correlations in data description and analysis. Unless the object is a linear relationship to time, this type of relationship is often interpreted as being incremental and reversible. For example, a little increase in exposure results in a little increase in the environmental damage and if that exposure is removed, the damage will stop or even be reversed.
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b. Exponential patterns are named after the best fit exact equation for many of these interactions such as population growth or radioactive decay. The underlying process is iterative change by a set ratio, i.e. the simple relationship of one time to the next is the same ratio. Variations on this iterative model include the logistic equation (stated iteratively), heat flux, diffusion, and other processes that can be related to a constant ratio. An interesting point is that an iterative model may be both a better fit numerically and mechanistically for population growth for a medium number of organisms that have a reproductive life cycle. |
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c. Pulsing. In a oversimplified model of resource production and use, a common pattern of behavior is for the resource to increase, leading to increased consumption, leading to decreased resource and finally decreased consumer. The pulse of a resources can be seen in many systems including historical fuel consumption (wood, charcoal, coal, and oil). One key feature of this metaphor for natural systems is that it is assumed that it is possible for the producer to recover and pulse again later, i.e. that this is can be a dynamic but sustainable system. |
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d. Threshold and catastrophe. Sand piles are a good metaphor for how stress can build up on a developing pile until there is an avalanche. You can't really predict when the a landslide will take place. |
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e. Fractal |
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f. Spatial patchiness |
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g. Network resilience in response to stress |
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h. Filling in from strong centers |
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i. Swarms and Flocks. |
These patterns will be applied to a broader discussion of trying to identify patterns that are "sustainable" and extended to a discussion of how we (as humans) can try to manage complex systems for sustainable health (notes - managing.html).
more here
In this course, each pattern/metaphor is presented as a set of images,a description and examples. The ten patterns are presented over about 5 hours of class time, giving about 30 minutes to present and work through each pattern. In between classes students are supposed to find examples of that pattern in the local environment, use a metaphor to describe the process and move beyond the metaphor to describe the particulars of their example pattern and process.
I think that the students will have to be convinced of several benefits of looking for these patterns including. I suspect that they will question whether or not this is really a different way of looking at the environment or if it is already contained in the current disciplines. For example, many texts present a linear and threshold dose responses to be just different parameterizations of the same problem. This may be true if the response is reversible, however if the threshold pattern represents an underlying hysteresis (catastrophe) the underlying processes are very different and the management approach to dealing with these systems is very different. Another key question that I am anticipating is how you can apply a pattern to a system when there are many ways that process can play out and, elatedly, how can you ever "prove" that the system response was "caused" by that particular mechanism. My response to this will be to show them how different models (i.e. multiple models for the underlying processes) can strengthen the adaptive learning and management program. A good starting example of this is to consider what you would want to know about a system that you thought was going to reach a steady-state carrying capacity as determined by the logistic equation compared to what you would pay attention to if you thought it could be either a logistic steady-state or a pulsing system. Slight variations would have much more significance in the second approach.
activity type 1: Observe each of the patterns in the environment. Make a drawing or a picture of the pattern. Describe several mechanisms that could have created this pattern, including at least one "complex" version. For this assignment "complex" means that it has multiple interacting actors in an iterative and dynamic process.
activity type 2: Find a process or feature of your local community that is sustainable and describe it by applying complex metaphors.
activity type 3: Identify any single and small scale question that relates to sustainability. For example this might be how to increase neighborhood recycling or how to reduce automobile traffic in one area of a city. Propose two views of how this process is controlled, one simple control and another as a complex interaction. Identify what aspects of these two views are the same and which are different. What do you think would be key features to follow or evidence for the complex view.
All classroom activities should include embedded learning assessment, evaluation and grading of student effort and learning. Since the point of the course is to address these patterns to understanding sustainability, the students should gain practice and get feedback on how these patterns apply.
In the past, I have used Blooms taxonomy to frame assessment rubrics in my discipline based classes. Given the nature of this course is for general education, outside of the disciplines, I agree with David Orr (Ecological Literacy 1992) when he suggests some very important learning objectives that should be part of a liberal education that are an alternative to Bloom's vision. The three most important are:
a. first hand knowledge about something
b. learn how to live in a place
c. learn connectedness instead of separateness
Orr's goal is that students "will not be merely well-read. Rather, they will be ecologically literate citizens able to distinguish health from its opposite and to live accordingly. If we adopt these as our educational goals, we will need new set of assessment and grading approaches.
key components
in class and while traveling, students will provide information just at the right time
students will be able to recognize a healthy system from an unhealthy system
students will indicate that they have developed a personal strategy to contribute to sustainability
Alexander
Bak
Collander
D'Arcy
Gibson
Mandelbrot
Reed
Reed