Publication Date


Document Type


First Advisor

McConnell, Harold||Yaseen, David W.

Degree Name

M.S. (Master of Science)

Legacy Department

Department of Earth Science




This paper assesses the utility of a model of spatial variation. The phenor.ienon under investigation is karst morphometry. The study area is located in the Pennyroyal Section of south central Kentucky, and is part of an area subjected to a formal study by LaValle (1967). Many of the karst landforms described by Dicken (1935) are in evidence here. Three statistical techniques are used for this study. The first is trend surface analysis. This procedure is used for assessing the role of contiguity in three dependent variables; depression density, karst relief ratio, and local relief. The second technique is simple linear regression analysis. This procedure assesses the degree of correlation and the direction of the relationship between two variables. Once the dependent variables have been assessed for contiguity by the trend surface analysis, the residual values from trend are incorporated into a simple linear regression model utilizing a measure of a location factor as the independent variable. The third technique is simple linear covariance which assesses the extent to which a qualitative phenomenon explains the residual variation in a continuous dependent variable apart from a functional relationship. The residual values of the dependent variables and the location factor are incorporated into a simple linear covariance model using a materials factor as the basis for classifying the dependent variables. The results show that trend accounts for the largest portion of the spatial variation in karst morphometry. Location and materials explain a very minute amount of the variation in the phenomena after the role of trend has been evaluated. In conclusion, the contiguity effect should not be assessed beyond that which is identified by fitting a planar surface, since higher order surfaces incorporate residual values that are more closely associated with the independent variables.


Includes bibliographical references.||Includes maps.


vii, 53 pages




Northern Illinois University

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