Model 3. The Spill-Over Effect
GY = a0 + a1GI + a2GI2 |
(13) (14) |
«1 = «10 - anDγ |
(15) |
2= = β10 («10 + αιιDγXc⅛o + «11DY2) (16)
The point of departure for calculating β is now
GY = «0 + (αw - a11DY)GI + βw (aω + auDY)(aw + ⅛DY2)GI2 (17)
GY = «0 + (aw - anDY)(γ0 + 71 DY)
+ βω (aw + auDY)(aw + anDY2)(γ0 + γυDY2) (18)
gy = C⅛ + O1070 + CW1dy - O11Y0 DY - a11Y1DY2
+ β10 (a10 - anDY1)(a10 - a11DY2)(γ0 + γ1DY2) (19)
If the neighbour income is assumed to be the average income DY2 = 0 we have
gy = C⅛ + O1070 + CW1dy - O11Y0 DY - CW1dy2
+ β10 (»10 - ⅜1Dγ1)CW0 (20)
gy- (c⅛ + aw70 ) - β10CC10a10γ0 = <⅞7∣ Dγ - »1170DY- ‰7∣dy'
- β10 ana10γ0DY (21)
DGY = («1071 - «1170 - β10ana1070)DY - an71DY2 (22)
Model 4. Attraction with Declining Force and Other Factors
GY = a0 + a1GI + a2GI2 (23)
GI = ‰ + (У10 + Yu DY)DY + 73DOPEN (24)
a1 = a10 - a11DY (25)
»2 = β10 (»10 - »11DY)(»10 - »11DY2) (26)
У = ‰ + Yu DY (27)
23
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