iThinkが自動生成した微分方程式群のリストです。

DCは先進国

LDCは発展途上国

tは時間

ＧＲＡＰＨは図3-1,3-2,5-1,6-1の曲線を座標表示したものです。

あとは自明でしょう。

DC_Carbon_Emission(t) = DC_Carbon_Emission(t - dt) + (DC_Emission_Grouth) * dt

INIT DC_Carbon_Emission = 6290000000

DC_Emission_Grouth = DC_Carbon_Emission*DC_Consumption_Grouth_Rate

DC_Cumulative_Carbon(t) = DC_Cumulative_Carbon(t - dt) + (DC_Emission) * dt

INIT DC_Cumulative_Carbon = 0

DC_Emission = DC_Carbon_Emission

DC_GDP(t) = DC_GDP(t - dt) + (DC_GDP_Grouth - DC_GDP_Decline) * dt

INIT DC_GDP = 20160000000000

DC_GDP_Grouth = DC_GDP_Grouth_Rate*DC_GDP

DC_GDP_Decline = DC_GDP*Conservation*DC_Conservation_Elasticity-ODA_Amount

DC_Population(t) = DC_Population(t - dt) + (DC_Birth - DC_Death) * dt

INIT DC_Population = 1337000000

DC_Birth = DC_Population*DC_Pregnancy_in_Life/DC_Average_Life/2

DC_Death = DC_Population/DC_Average_Life

LDC_Carbon_Emission(t) = LDC_Carbon_Emission(t - dt) + (LDC_Emission_Grouth) * dt

INIT LDC_Carbon_Emission = 1620000000

LDC_Emission_Grouth = LDC_Consumption_Grouth_Rate*LDC_Carbon_Emission

LDC_Cumulative_Carbon(t) = LDC_Cumulative_Carbon(t - dt) + (LDC_Emission) * dt

INIT LDC_Cumulative_Carbon = 0

LDC_Emission = LDC_Carbon_Emission

LDC_GDP(t) = LDC_GDP(t - dt) + (LDC_Grouth - LDC_GDP_Decline) * dt

INIT LDC_GDP = 2820000000000

LDC_Grouth = LDC_GDP_Grouth_Rate*LDC_GDP+ODA_Amount

LDC_GDP_Decline = LDC_GDP*Conservation*LDC_Conservation_Elasticity

LDC_Population(t) = LDC_Population(t - dt) + (LDC_Birth - LDC_Death) * dt

INIT LDC_Population = 3682000000

LDC_Birth = LDC_Pregnancy_in_Life*LDC_Population/LCD_Average_Life/2

LDC_Death = LDC_Population/LCD_Average_Life

Conservation = 0.01

DC_Consumption_Grouth_Rate = DC_GDP_Grouth_Rate*DC_GDP_Elasticity-Conservation

DC_GDP_Grouth_Rate = Natural_Grouth_Rate+DC_Population_Grouth_Rate*Population_Factor

DC_per_capita_GDP = DC_GDP/DC_Population

DC_per_capita_Income = DC_per_capita_GDP*Labor__Earnings

DC_Population_Grouth_Rate = DERIVN(DC_Population,1)/DC_Population

Labor__Earnings = 0.56

LDC_Consumption_Grouth_Rate = LDC_GDP_Grouth_Rate*LDC_GDP_Elasticity-Conservation

LDC_GDP_Grouth_Rate = Natural_Grouth_Rate+LDC_Population_Grouth_Rate*Population_Factor

LDC_per_capita_GDP = LDC_GDP/LDC_Population

LDC_per_capita_Income = LDC_per_capita_GDP*Labor__Earnings

LDC_Population_Grouth_Rate = DERIVN(LDC_Population,1)/LDC_Population

Natural_Grouth_Rate = 0.033

ODA_Amount = DC_GDP*ODA_Rate

ODA_Rate = 0.006

Population_Factor = 1

World_Carbon_Emission = DC_Emission+LDC_Emission

World_Cumulative_Carbon = DC_Cumulative_Carbon+LDC_Cumulative_Carbon

World_GDP = DC_GDP+LDC_GDP

World_Population = DC_Population+LDC_Population

DC_Average_Life = GRAPH(DC_per_capita_GDP)

(0.00, 50.0), (1000, 55.0), (2000, 59.5), (3000, 63.5), (4000, 67.5), (5000, 70.5), (6000, 72.5), (7000, 74.5), (8000, 76.0), (9000, 77.5), (10000, 78.5), (11000, 79.0), (12000, 79.5)

DC_Conservation_Elasticity = GRAPH(DC_per_capita_GDP)

(0.00, 1.40), (4000, 1.29), (8000, 1.20), (12000, 1.12), (16000, 1.05), (20000, 0.980), (24000, 0.930), (28000, 0.890), (32000, 0.860), (36000, 0.830), (40000, 0.810), (44000, 0.800), (48000, 0.800)

DC_GDP_Elasticity = GRAPH(DC_per_capita_GDP)

(0.00, 1.00), (4000, 0.780), (8000, 0.600), (12000, 0.460), (16000, 0.360), (20000, 0.280), (24000, 0.210), (28000, 0.170), (32000, 0.140), (36000, 0.130), (40000, 0.120), (44000, 0.100), (48000, 0.100)

DC_Pregnancy_in_Life = GRAPH(DC_per_capita_Income)

(0.00, 9.95), (500, 6.00), (1000, 3.20), (1500, 2.35), (2000, 2.00), (2500, 1.75), (3000, 1.70), (3500, 1.65), (4000, 1.60), (4500, 1.55), (5000, 1.55), (5500, 1.50), (6000, 1.50)

LCD_Average_Life = GRAPH(LDC_per_capita_GDP)

(0.00, 50.0), (1000, 55.0), (2000, 59.5), (3000, 63.5), (4000, 67.5), (5000, 70.5), (6000, 72.5), (7000, 74.5), (8000, 76.0), (9000, 77.5), (10000, 78.5), (11000, 79.0), (12000, 79.5)

LDC_Conservation_Elasticity = GRAPH(LDC_per_capita_GDP)

(0.00, 1.40), (4000, 1.29), (8000, 1.20), (12000, 1.12), (16000, 1.05), (20000, 0.980), (24000, 0.930), (28000, 0.890), (32000, 0.860), (36000, 0.830), (40000, 0.810), (44000, 0.800), (48000, 0.800)

LDC_GDP_Elasticity = GRAPH(LDC_per_capita_GDP)

(0.00, 1.00), (4000, 0.780), (8000, 0.600), (12000, 0.460), (16000, 0.360), (20000, 0.280), (24000, 0.210), (28000, 0.170), (32000, 0.140), (36000, 0.130), (40000, 0.120), (44000, 0.100), (48000, 0.100)

LDC_Pregnancy_in_Life = GRAPH(LDC_per_capita_Income)

(0.00, 9.95), (500, 6.00), (1000, 3.20), (1500, 2.35), (2000, 2.00), (2500, 1.75), (3000, 1.70), (3500, 1.65), (4000, 1.60), (4500, 1.55), (5000, 1.55), (5500, 1.50), (6000, 1.50)