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<br />Equation 5.1 is diagrammed in Figure 5.2. Equa- <br />tions similar 10 Equation 5.1 were prepared for each <br />population and agency needed for modeling the sys- <br />tem. <br /> <br />Equations in Ihe Model <br /> <br />The specific equations derived for Ihe model are <br />presented in numerical order as outlined in Figure <br />5.1, except for Equation 5.21 which is explained to- <br />gether_with the other agency equations and is present- <br />ed following the section on Equation IV. The dis- <br />cussion of IF stalement A will be given with Equation <br />11. IF statements B1 - B3 are mentioned in a section <br />after the application of Equation III to the decision <br />agency. IF statements C1 - C5 are discussed following <br />Equation V. For a particuiar slep, see Ihe section on <br />the equation representing Ihal slep. <br /> <br />The square of the correlation coefficient is cal- <br />culated for each equallon calibrated from available <br />data. The interpretation varies from equation to equa~ <br />tion, and appropriate comments will be made in the <br />discussion of an equation. Also where meaningful, <br />both the unstandardized and standardized versions <br />(see Chapter 11) of an equation are given. <br /> <br />Emphasis in development of the model was <br />placed on those parts involving evaluation (i.e., from <br /> <br />FloodConlIol <br />Proposal <br /> <br />'so <br />'60 <br />'70 <br />l8(, <br /> <br /> <br />LSO Z60 271) l80 <br /> <br />(XsoZso) (X60z60) (X70Z70) (XSOlSO) <br /> <br /> <br />Xso XfiO X10 Xgo <br /> <br />Group <br />(population or agency) <br /> <br />'" <br />X"I <br />'" <br />"4') <br />:'41 <br />'~~'J <br /> <br />Equalion 111 onward). Particular effort was expended <br />on the public acceptance equalion (Equation V), be- <br />cause it has Ihe greatesl potential ulility for planners. <br />Equations I and 11 are preliminary formulations which <br />need addilional refinement. These initial formulas <br />did allow, however, the complelion of Ihe model of <br />the social system and, in combination with the hydro- <br />logic system, the closing of the main loop in Figure <br />5.1. All variables used in the equations may be seen <br />in a summary listing with their symbols in Table 6.1. <br />The title given to an equation refers 10 the dependent <br />variable. Independent variables are listed in associated <br />tables. <br /> <br />The regression analysis using Ihe data for per- <br />ception of need for flood control for the study area <br />yielded the coefficients for Equalion 1. The variables <br />in Equation I are indicated by Table 5.1. The r2 of <br />Equalion I is quile low{.194.7 Adding more variables <br />increased Ihe r2 slightly, by about .03, but reduced <br />the significance of the variables already in the model <br />10 unacceptable levels. In Ihe above equation most <br />variables are significant at Ihe .05 level and all are sig- <br />nificant at the .10 level. A multiplicative power func- <br /> <br />7The r2 for the standardized and unstandardized forms <br />of an equation is the same since one form is a transformation <br />of the other. <br /> <br />Other source of <br />Influence <br /> <br /> <br />Evaluation (Equation 5.1) <br />Ygp = b" + b\X10';' b2X20 +b3X30 + b4X4QX41.;. bS XSO 250 <br />+ b6X60Z60 + b7X10Z70 + bgXSOzSO + b9X90 "90 t E <br /> <br />X40X41 <br /> <br />Figure 5.2 Conceptualization of the basic equation for modeling. The evaluation of a flood control pro- <br />posal by an agency or population. <br /> <br />62 <br />