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<br />-3- <br /> <br />The above statements contain my major objection to the proposals. Trapper has <br />endeavored to derive predictive regression equations from functionally <br />independent variables. Specifically, Trapper incorrectly asserts (by <br />employing regression) that reclaimed area herbaceous cover and production are <br />dependent upon herbaceous cover and production of respective reference areas. <br />This is not logically so, for one can not say that manipulation of the <br />reference areas will subsequently affect herbaceous cover and production on <br />the reclaimed areas. A correlation between reference areas and reclaimed <br />areas exists, and that is the basis for the use of reference areas. But <br />correlations can not be used as the predictive tool Trapper desires to set a <br />numerical standard in advance. <br />Should Trapper derive a predictive multiple regression equation based on one <br />or more independent variables all affecting a dependent variable (e. g., cover <br />being influenced by topsoil depth, season length, annual precipitation, and <br />others) which was then evaluated by regressing against known data contained in <br />reference and reclaimed areas, it could be employed to predict revegetation <br />success standards. <br />A further concern with the proposal is contained in Trapper's proposed <br />standard value (Y-25).9). If one is to employ the multiple regression for a <br />specific set of independent factors, a derived value of the dependent variable <br />(y) is produced. Trapper has not explained why this predicted value needs to <br />be further modified by subtraction of the value of two standard deviation <br />units and then by a 90 percent devaluation. I have not been able to identify <br />the source of this proposal in standard references or in Trapper's proposal. <br />ExtraDOlation <br />A concern which has been expressed by reviewers of the proposal (Redente, <br />1982) and in texts ( Zar, 1974, Steel and Torrie, 1980) is the extrapolation <br />of the regression equation outside of limits imposed by actual values of <br />independent variables. The regression equation explains variation and the <br />relationship of the variables within the constraints of the data originally <br />employed and cannot be safely extrapolated beyond those values. Practically <br />speaking, for the predictive regression to be successful under all <br />circumstances Trapper would have to include values for independent variables <br />for the worst years (drought) and the most favorable years in order to be able <br />to use the model. <br />Source of Data for Regressions <br />In Tables 4.4-10, 4.4-11, and 4.4-12 Trapper presents data on annual growing <br />season, monthly average temperatures, and monthly precipitation; all abiotic <br />independent variables which were considered in the preparation of the stepwise <br />multiple regressions as affecting cover and production on reclaimed surfaces. <br />No source location for this information was presented. It is presumed since <br />Trapper serves as an official meteorological reporting station for the Craig <br />area these measurements came from mine site. Trapper should clarify the <br />source of this data, since data from other than the specified area of interest <br />might adversely affect results for Trapper's location. <br />