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Optimum Control in Nonlinear Ecological Dynamics of Metropolitan Areas

Author

Listed:
  • D S Dendrinos

    (Department of Economics, University of Missouri-St Louis, St Louis, MO 63121, USA, and Southern Pacific Transportation Company, San Francisco, CA 94105, USA)

  • H Mullally

    (Graduate Program in Urban Planning, School of Architecture and Urban Design, University of Kansas, Lawrence, KS 66045, USA)

Abstract

After an ecological-type formulation of single-city aggregate urban dynamics, the optimum time trajectory of such a system is analyzed. A set of models are discussed which use different objective functions, and it is shown that erratic on-off switches of the urban controls are the optimum strategies under any type of objective function. Solutions for the optimum timing of bang-bang-type application of any specific urban policy instrument would need to be determined numerically.

Suggested Citation

  • D S Dendrinos & H Mullally, 1983. "Optimum Control in Nonlinear Ecological Dynamics of Metropolitan Areas," Environment and Planning A, , vol. 15(4), pages 543-550, April.
    • Handle: RePEc:sae:envira:v:15:y:1983:i:4:p:543-550
    DOI: 10.1068/a150543
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    Cited by:

    1. Puliafito, Salvador Enrique & Puliafito, José Luis & Grand, Mariana Conte, 2008. "Modeling population dynamics and economic growth as competing species: An application to CO2 global emissions," Ecological Economics, Elsevier, vol. 65(3), pages 602-615, April.
    2. Doris A. Behrens & Olivia Koland & Ulrike Leopold-Wildburger, 2018. "Why local air pollution is more than daily peaks: modelling policies in a city in order to avoid premature deaths," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 26(2), pages 265-286, June.
    3. Capello, Roberta & Faggian, Alessandra, 2002. "An economic-ecological model of urban growth and urban externalities: empirical evidence from Italy," Ecological Economics, Elsevier, vol. 40(2), pages 181-198, February.

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