note modell des wohnbaus in einer stadt note note siehe Goodman: Study Notes in System Dynamics, Seite 332 ff note note Bevölkerungs-Sektor note L pop.k=pop.j+dt*(imr.jk-omr.jk-ndr.jk) N pop=popi C popi=30.3 note note pop population (people) note popi population initial value note imr immigration rate (people/year) note omr out-migration rate(people/year) note R imr.kl=nim*ammp.k*pop.k C nim=.145 note note nim normal immigration (fraction/year) note ammp attractiveness for migration multiplier perceived (dimensionless) note A ammp.k=smooth(amm.k,mpt) C mpt=5 note note amm attractiveness for migration multiplier (dimensionless) note mpt migrant perception time (years) note A amm.k=table(ammt,hr.k,0,2,.25) T ammt=.05/.1/.2/.4/1/1.6/1.8/1.9/2 note note ammt attractiveness for migration multiplier table note hr housing ratio (dimensionless) note A dmm.k=1/amm.k note note dmm departure migration multiplier (dimensionless) note R omr.kl=nom*dmm.k*pop.k C nom=.02 note note nom normal out migration (fraction/year) note R ndr.kl=pop.k*drf C drf=.025 note note ndr net death rate (people/year) note drf death rate factor (fraction/year) note************************************************************************* note housing sector note************************************************************************* note L h.k=h.j+dt*(hcr.jk-hdr.jk) N h=hi c hi=10 note note h housing (units) note hcr housing construction rate (units/year) note hdr housing demolition rate (units/year) note hi initial value of houses (units) note R hcr.kl=nhc*hcm.k*lam.k*h.k C nhc=.12 note note nhc normal housing construction (fraction/year) note hcm housing construction multiplier (dimensionless) note lam land availability multiplier (dimensionless) note A hcm.k=table(hcmt,hr.k,0,2,.25) T hcmt=2.5/2.4/2.3/2/1/.37/.2/.1/.05 note A hr.k=h.k/hd.k note note hr housing ratio(dimensionless) note hd housing desired (units) note A hd.k=pop.k*upp C upp=.33 note note upp units per person (unit/person) note A lam.k=table(lamt,lfo.k,0,1,.25) T lamt=1/.8/.5/.2/0 note note lfo land fraction occupied (dimensionless) note A lfo.k=H.k*lpu/land C lpu=1 C land=1500 note note lpu land per unit(acres/unit) note land (acres) note R hdr.kl=h.k/alth C alth=50 note note alth average lifetime of housing (years) note*********************************************************************** note control statements note*********************************************************************** note plot h=h(0,2000)/pop=p(0,8000)/hcr=c,hdr=d(0,100) C dt=1 C length=200 C pltper=2