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PNNL-13501 - Pacific Northwest National Laboratory

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(portfolio selection). We developed a tool called Fuzzy<br />

Hab. Fuzzy Hab is used to estimate habitat diversity from<br />

a set of categorical statements about the environment<br />

(embeddedness, icing, pool spacing, riparian function, and<br />

woody debris). Each of these categorical statements is<br />

vaguely defined. Estimates for each categorical statement<br />

are derived from physical process models. Fuzzy Hab<br />

supports a variety of canonical forms of membership<br />

functions and generates source code in C that can be<br />

transferred to any platform for integration into a natural<br />

resource modeling framework.<br />

Fuzzy Clustering. The purpose of clustering is to identify<br />

groupings from a large data set to produce a concise<br />

representation of a system’s behavior. Allowing<br />

membership in a group to be fuzzy (i.e., a matter of<br />

degree) results in a considerably more flexible and robust<br />

representation of the system. We reviewed recent<br />

literature where fuzzy clustering had been applied in<br />

natural resource management. We determined that fuzzy<br />

clustering characterizes data richness and complexity,<br />

easily adapts to new data, and is not particularly sensitive<br />

to type of membership function chosen.<br />

Adaptive Neural Fuzzy Inference Systems. Adaptive<br />

inference systems provide a method to develop fuzzy<br />

rules from large but sparse environmental datasets. Data<br />

goes in and rules come out. In this project, fuzzy rules for<br />

making categorical conclusions of aquatic habitat<br />

diversity were derived from partially complete tables<br />

developed for the <strong>Pacific</strong> <strong>Northwest</strong> Multispecies<br />

Framework Process. Inference systems are able to<br />

generalize large datasets while developing rules that are<br />

less prone to reflect arbitrary and sometimes conflicting<br />

threshold effects.<br />

Summary and Conclusions<br />

Fuzzy computational methods are useful in overcoming<br />

the structural differences between physical and biological<br />

models. While initially fuzzy methods were expected to<br />

benefit mostly biological models through improved<br />

categorical representation of the physical environment,<br />

they are now expected to have significant benefit to<br />

physical process representation such as for<br />

geomorphological processes critical to habitat.<br />

We conclude that fuzzy methods<br />

• provide a compact and flexible process representation<br />

• accommodates the pervasive imprecision of process<br />

understanding<br />

• exploit the tolerance for imprecision, uncertainty, and<br />

partial truth to achieve tractability, robustness, and<br />

low-cost solutions<br />

• exploit neural networks’ ability to use large, sparse<br />

datasets in developing rules.<br />

As this project continues during the next fiscal year, fuzzy<br />

methods will be incorporated into a web-based integrated<br />

natural resource management framework.<br />

Earth System Science 263

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