OH%20General%20Hubbert%20Curve

OH%20General%20Hubbert%20Curve - Qt 12 Logistic Curve -...

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0 2 4 6 8 10 12 t Q t Logistic Curve - Cumulative Production Q t = Q/(1+ α e - β t ) 0 10 20 30 40 50 60 70 80 α = 10 α = 30 α = 50 Assume Q = 10 β = 0.1
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0 2 4 6 8 10 12 0 10 20 30 40 50 60 70 80 t Q t β = 0.2 β = 0.1 β = 0.05 Logistic Curve - Cumulative Production Q t = Q/(1+ α e - β t ) Assume α = 50 Q = 10
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0 5 10 15 20 25 0 10 20 30 40 50 60 70 80 t Q t Q = 20 Q = 15 Q = 10 Logistic Curve - Cumulative Production Q t = Q/(1+ α e - β t ) Assume α = 50 β = 0.1
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0 0.05 0.1 0.15 0.2 0.25 0.3 Hubbert Curve - Production dQ t /dt = ( αβ Qe - β t )/(1+ α e - β t ) 2 Assume β = 0.1 Q = 10 t 0 10 20 30 40 50 60 70 80 α = 10 α = 30 α = 50 dQ t /dt
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0 0.1 0.2 0.3 0.4 0.5
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This note was uploaded on 12/09/2009 for the course ECON 132 taught by Professor Peters during the Spring '07 term at UCSD.

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OH%20General%20Hubbert%20Curve - Qt 12 Logistic Curve -...

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