Hierarchical Theory (HT) is the theory of scaled systems; really focuses on levels of analysis an they relate to underst

1. Hierarchical Theory (HT) is the theory of scaled systems; really focuses on levels of analysis an they relate to understanding a complex system http://en.wikipedia.org/wiki/File:Hierarchical_Model.jpg • A hierarchical data model is a data model in which the data is organized into a tree-like structure. • Not all structure in nature is hierarchically organized, depending on the study objectives, or variable of concern

2. HT Levels Hierarchical Structure: a landscape is hierarchically structured. It can be divided, or decomposed, into discrete components, while this landscape is a component of larger system.

5. http://web.utk.edu/~gwynne/maslow.HTM Maslow's Hierarchy of Needs Abraham Maslow is known for establishing the theory of a hierarchy of needs, writing that human beings are motivated by unsatisfied needs, and that certain lower needs need to be satisfied before higher needs can be satisfied. Maslow studied exemplary people such as Albert Einstein, Jane Addams, Eleanor Roosevelt, and Frederick Douglas rather than mentally ill or neurotic people. This was a radical departure from two of the chief schools of psychology of his day: Freud and B.F. Skinner. Freud saw little difference between the motivations of humans and animals. We are supposedly rational beings; however, we do not act that way. Such pessimism, Maslow believed, was the result of Freud's study of mentally ill people. "The study of crippled, stunted, immature, and unhealthy specimens can yield only a cripple psychology and a cripple philosophy" (Motivation and Personality). Skinner, on the other hand, studied how pigeons and white rats learn. His motivational models were based on simple rewards such as food and water, sex, and avoidance of pain. Say "sit" to your dog and give the dog a treat when it sits, and-after several repetitions--the dog will sit when you command it to do so. Maslow thought that psychologists should instead study the playfulness, affection, etc., of animals. He also believed that Skinner discounted things that make humans different from each other. Instead, Skinner relied on statistical descriptions of people.

6. Maslow's hierarchy of needs was an alternative to the depressing determinism of Freud and Skinner. He felt that people are basically trustworthy, self-protecting, and self-governing. Humans tend toward growth and love. Although there is a continuous cycle of human wars, murder, deceit, etc., he believed that violence is not what human nature is meant to be like. Violence and other evils occur when human needs are thwarted. In other words, people who are deprived of lower needs such as safety may defend themselves by violent means. He did not believe that humans are violent because they enjoy violence. Or that they lie, cheat, and steal because they enjoy doing it. According to Maslow, there are general types of needs (physiological, safety, love, and esteem) that must be satisfied before a person can act unselfishly.

7. Other Examples: • Catalog in a library • Political and religion hierarchies • Organizations of a company • Geography • Program planning • Species classification (from Kingdom to species) • Wildlife habitat • Landscape structure (e.g., roads in different parts of a landscape, or different grades) • …

8. Other Examples:

9. Map of the world's ecozonesViolet: NearcticGreen: PalearcticOrange: AfrotropicRed: IndomalayaOlive: AustralasiaBrown: NeotropicOceania, Antarctic not shown http://en.wikipedia.org/wiki/Ecozone http://www.fs.fed.us/land/ecosysmgmt/ecoreg1_home.html Ecoregions of the United States

13. LOW HIGH MA YA2 OPB H2 H1 PA CC OPB SPB YA2 BOPB SPB JPO 1500 1000 500 0 0 500 1000 1500 2000 2500 3000 Wavelet Transform of Species Richness • Pine Barrens Resolution (m) Distance Along Transect (m) Wavelet Variance

14. http://www.isss.org/hierarchy.htm Hierarchy: in mathematical terms, it is a partially ordered set. In less austere terms, a hierarchy is a collection of parts with ordered asymmetric relationships inside a whole. That is to say, upper levels are above lower levels, and the relationship upwards is asymmetric with the relationships downwards. Hierarchical levels: levels are populated by entities whose properties characterize the level in question. A given entity may belong to any number of levels, depending on the criteria used to link levels above and below. For example, an individual human being may be a member of the level i) human, ii) primate, iii) organism or iv) host of a parasite, depending on the relationship of the level in question to those above and below. Level of organization: this type of level fits into its hierarchy by virtue of set of definitions that lock the level in question to those above and below. For example, a biological population level is an aggregate of entities from the organism level of organization, but it is only so by definition. There is no particular scale involved in the population level of organization, in that some organisms are larger than some populations, as in the case of skin parasites.

15. http://www.isss.org/hierarchy.htm Level of observation: this type of level fits into its hierarchy by virtue of relative scaling considerations. For example, the host of a skin parasite represents the context for the population of parasites; it is a landscape, even though the host may be seen as belonging to a level of organization, organism, that is lower than the collection of parasites, a population. The criterion for observation: when a system is observed, there are two separate considerations. One is the spatiotemporal scale at which the observations are made. The other is the criterion for observation, which defines the system in the foreground away from all the rest in the background. The criterion for observation uses the types of parts and their relationships to each other to characterize the system in the foreground. If criteria for observation are linked together in an asymmetric fashion, then the criteria lead to levels of organization. Otherwise, criteria for observation merely generate isolated classes. The ordering of levels: there are several criteria whereby other levels reside above lower levels. These criteria often run in parallel, but sometimes only one or a few of them apply. Upper levels are above lower levels by virtue of: 1) being the context of, 2) offering constraint to, 3) behaving more slowly at a lower frequency than, 4) being populated by entities with greater integrity and higher bond strength than, and 5), containing and being made of - lower levels.

16. http://www.isss.org/hierarchy.htm Nested and non-nested hierarchies: nested hierarchies involve levels which consist of, and contain, lower levels. Non-nested hierarchies are more general in that the requirement of containment of lower levels is relaxed. For example, an army consists of a collection of soldiers and is made up of them. Thus an army is a nested hierarchy. On the other hand, the general at the top of a military command does not consist of his soldiers and so the military command is a non-nested hierarchy with regard to the soldiers in the army. Pecking orders and a food chains are also non-nested hierarchies. Duality in hierarchies: the dualism in hierarchies appears to come from a set of complementarities that line up with: observer-observed, process-structure, rate-dependent versus rate-independent, and part-whole. Arthur Koestler in his "Ghost in The Machine" referred to the notion of holon, which means an entity in a hierarchy that is at once a whole and at the same time a part. Thus a holon at once operates as a quasi-autonomous whole that integrates its parts, while working to integrate itself into an upper level purpose or role. The lower level answers the question "How?" and the upper level answers the question, "So what?”

17. http://www.isss.org/hierarchy.htm Constraint versus possibilities: when one looks at a system there are two separate reasons behind what one sees. First, it is not possible to see something if the parts of the system cannot do what is required of them to achieve the arrangement in the whole. These are the limits of physical possibility. The limits of possibility come from lower levels in the hierarchy. The second entirely separate reason for what one sees is to do with what is allowed by the upper level constraints. An example here would be that mammals have five digits. There is no physical reason for mammals having five digits on their hands and feet, because it comes not from physical limits, but from the constraints of having a mammal heritage. Any number of the digits is possible within the physical limits, but in mammals only five digits are allowed by the biological constraints. Constraints come from above, while the limits as to what is possible come from below. The concept of hierarchy becomes confused unless one makes the distinction between limits from below and limits from above. The distinction between mechanisms below and purposes above turn on the issue of constraint versus possibility. Forget the distinction, and biology becomes pointlessly confused, impossibly complicated chemistry, while chemistry becomes unwieldy physics.

18. Any level of a biological system is composed of interacting components and limited by a) potential behaviors of components (the lower levels) and b) environmental constraints (imposed by higher levels); • Concept of constraints is really the key to understanding hierarchies; • One level is composed of smaller interacting units and is itself a component of a larger unit or higher level in the hierarchy; • Each level is considered to operate at distinct spatial (and temporal) scales, and is constrained by the behavior of the levels above and below i.e., a level can have a scale but a level is not a scale; • The upper levels provide context, i.e., are constant at lower levels (e.g., whale is constant context of its cells); this unresponsiveness leads to the constraint of the lower levels (i.e., it’s a passive rather than active limitation): the upper level is a parameter for the variable behavior of the lower level; • In a hierarchy of empirical levels of observation, levels are ordered according to the spatial and frequency characteristics of the entities that occupy each level;

19. Why is HT useful? • Provides guidelines for defining the functional components and of a system and finding ways in which components of different scales interact • Requires explicit characterization of scaled relationships that exist between pattern of interest and ecological determinants of the pattern; Examples: • Spatial and temporal bounds of each pattern • Order in which these patterns are nested

20. A SHORT ANNOTATED BIBLIOGRAPHY OF HIERARCHY THEORY Koestler, Arthur. 1967. The ghost in the machine. Macmillan, New York. This is a long hard look at human social structure in hierarchical terms. The notion of holon first occurs in this work. This is a classic work, but is easily accessible to the lay public. Whyte, L.. L.., A. G. Wilson and D. Wilson (eds.). 1969. Hierarchical structures. American Elsevier, New York. This is a classic collection of early scholarly works by some of the founders of hierarchical thinking. Pattee, H.. H. (ed.) 1973. Hierarchy theory: the challenge or complex systems. Braziller, New York. This edited volume has some classic articles by Pattee, Simon and others. Allen, T. F. H. and T. B. Starr. 1982. Hierarchy: perspectives for ecological complexity. University Chicago Press. This book has a significant ecological component but is much more generally about hierarchical structure. It is abstract and a somewhat technical treatment but has been the foundation work for the application of hierarchy theory in ecology and complex systems theory at large. Salthe, S. 1985. Evolving Hierarchical Systems: their structure and representation. Columbia University Press, New York. This book has a strong structural bias, in contrast to the process oriented approach of Allen and the other ecologists in this bibliography. Salthe introduces the notion of the Triadic, where there is a focus on 1) the system as both a whole above the levels below and 2) a part belonging to another level above, 3) not forgetting the level of the structure itself in between. While much biological hierarchy theory takes an anti-realist point view, or is at least reality-agnostic, wherein the ultimate reality of hierarchical arrangement is left moot, Salthe's version of hierarchy theory is concerned with the ultimate reality of structure. The anti-realist view of structure is that it is imposed by the observer, and may or may not correspond to any ultimate reality. If structure does correspond to ultimate, external reality, we could never know that to be so. Salthe's logic is consistent but always takes a structural and ontological position. O'Neill, R. V., D. DeAngelis, J. Waide and T. F. H. Allen. 1986. A hierarchical concept of ecosystems. Princeton University Press. This is a distinctly ecological application of hierarchy theory, making the critical distinction between process functional ecosystem approaches as opposed to population and community relationships. It is an application of hierarchy theory to ecosystem analysis. Allen T. F. H. and T. Hoekstra. 1992. Toward a unified ecology. Columbia University Press. This book turns on hierarchy theory, but is principally a book about ecology. It goes beyond the O'Neill et al book, in that it makes the distinction between many types of ecology (landscape, ecosystem, community, organism, population, and biomes) on the one hand, and scale of ecology on the other hand. It ends with practical applications of hierarchy theory and ecological management. Ahl, V. and T. F. H. Allen. 1996. Hierarchy theory, a vision, vocabulary and epistemology. Columbia University Press. This slim a volume is an interdisciplinary account of a hierarchy theory, and represents the shallow end of the pool. It is the primer version of Allen and Starr 1982. It is full of graphical images to ease the reader into a hierarchical perspective. It makes the distinction between levels of organization and levels of observation. It takes a moderate anti-realist point of view, wherein there may be an external reality, but it is not relevant to the discourse. We only have access to experience, which must of necessity involve observer values and subjectivity. There are examples from a wide discussion of many disciplines. Included are examples from psychology, ecology, the law, political systems and philosophy. It makes reference to the global and technological problems facing humanity, and offers hierarchy theory as one tool in the struggle. The summary of hierarchy theory in the opening paragraphs above comes from this book.