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PE EIE[R-Rg RESEARCH ON - HJ Andrews Experimental Forest

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several models together to form the model for<br />

the watershed as a whole, is the reverse of the<br />

decomposition process previously discussed.<br />

Now we are faced with the question of defining<br />

appropriate external variables of th e<br />

watershed as an object after having initiall y<br />

defined the watershed as a collection of sub -<br />

objects .<br />

These questions are obviously appropriate<br />

to consideration of a general model for, say ,<br />

the entire H . J. <strong>Andrews</strong> <strong>Experimental</strong> <strong>Forest</strong> ,<br />

or for the Coniferous <strong>Forest</strong> Biome, sob that<br />

we consider them central to our overall<br />

objectives. By concentrating on the proble m<br />

of stratifying a watershed, and on the problems<br />

of modeling the strata and the collective ,<br />

we are attempting to devise strategies which<br />

will be useful in later extension of the modeling<br />

process .<br />

It turns out that if we view the construction<br />

of strata in essentially the same perspective<br />

as the construction of subsystems in th e<br />

U-C structure, the same general criteria hold .<br />

Generally speaking, subsystems (strata )<br />

should be constructed in such a manner tha n<br />

couplings are minimized (or simplified), an d<br />

such that important processes are containe d<br />

within the subsystems . This criterion is no t<br />

always compatible with the second one, tha t<br />

strata should be environmentally homogenous,<br />

within, and occasional conflicts arise .<br />

In any event, we are attempting hierarchica l<br />

stratification of watersheds, with topographic<br />

features defining the primary strata and vegetation<br />

types the secondary, the two levels giving<br />

uncoupling and homogeneity, respectively .<br />

Summary<br />

Some of the ways in which the Universe-<br />

Coupling structure is being used in building a<br />

hierarchical, modular system of models for<br />

the Coniferous Biome have been discussed .<br />

These models are hierarchical by virtue of th e<br />

identification of systems at one level o f<br />

organization as subsystems of the system s<br />

defined at the next higher level. They ar e<br />

modular by virtue of the uncoupled nature ;<br />

identification of the coupling variables at an y<br />

level allows complete flexibility of subsystem<br />

representation, provided that the integrity of<br />

the couplings is maintained .<br />

A general criterion for constructing sub -<br />

systems is provision of simple coupling s<br />

among subsystems with tight relations contained<br />

within . This principle is violated quite<br />

badly when trophic levels are used for sub -<br />

system definition . An alternate structure for<br />

consumers is being investigated in our program,<br />

as reported in the paper by Strand and<br />

Nagel .<br />

In applying the U-C structure to spatial<br />

units, another criterion is employed . Here it i s<br />

desirable to provide homogeneity of environment<br />

and process within strata, with variatio n<br />

among strata of no concern . This criterion i s<br />

sometimes in conflict with the first one o f<br />

minimal couplings, so that compromises are<br />

necessary .<br />

The paper has dealt primarily with aspect s<br />

of structure and criteria for application of th e<br />

structural form . Emphasis has been on th e<br />

first two of the three tasks which the U- C<br />

structure defines, to wit : (1) specification of<br />

the coupling variables, (2) elaboration of<br />

internal structure of subsystems . The third<br />

task, analysis and synthesis of behavior of the<br />

subsystems as objects, is given little attention ,<br />

but this probably is the most important, fro m<br />

the point of view of ecosystem theory . As<br />

mentioned earlier, the conceptualization of<br />

holistic system properties and behavior i s<br />

poorly advanced. The U-C structure provides<br />

an excellent basis for the attempt to develop<br />

this concept .<br />

One last point is made regarding the differences<br />

between the Universe-Couplin g<br />

approach and the State Variable approach .<br />

Since the State Variable model can als o<br />

assume hierarchical form (Goguen 1970), an d<br />

under common explicit models of subsyste m<br />

behavior the U-C model will reduce to a stat e<br />

variable model, one might question the practical<br />

validity of the distinction . Essentially, th e<br />

differences are that one (U-C) is structur e<br />

oriented and the other variable oriented an d<br />

that one (U-C) is oriented simultaneously to<br />

holistic and mechanistic representation an d<br />

the other solely to mechanism . In the application<br />

of ecosystem models so far produced, th e<br />

state variable approach seems adequate ,<br />

46

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