Skip to main content
Log in

Maximizing sustainability of ecosystem model through socio-economic policies derived from multivariable optimal control theory

  • Original Paper
  • Published:
Clean Technologies and Environmental Policy Aims and scope Submit manuscript

Abstract

Current practices in natural resources consumption are unsustainable and may eventually lead to ecosystem extinction. Sustainable ecosystem management is necessary to ensure that human and ecological needs of the present are satisfied without compromising the ability of future generations to meet their own. This paper uses a simple mathematical model of an integrated ecological and economic system representing our planet’s sectors, including, but not limited to, natural, industrial, housing, and energy production sectors. The aim of the project is to maximize the sustainability of this system, using Fisher information as a statistical measure as a measure of sustainability, and derive socio-economic policies using optimal control techniques. By controlling six policy parameters, we were able to sustain all the ecological mass compartments (which were not sustainable in the consumption increase scenario of the future), thus significantly increasing the lifespan of all the species in the model.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

References

  • Benavides P, Diwekar U, Cabezas H (2014) Controllability of complex networks for sustainable system dynamics. J Complex Netw (under review)

  • Brock W, Xepapadeas A (2010) Pattern formation, spatial externalities and regulation in coupled economic—ecological systems. J Environ Econ Manag 59:149–164. doi:10.1016/j.jeem.2009.07.003

    Article  Google Scholar 

  • Brundtland GH (1987) Our Common Future: Report of the World Commission on Environment and Development. Oxford University Press. http://www.un-documents.net/our-common- future.pdf. Accessed 24 Feb 2014

  • Cabezas H, Fath BD (2002) Towards a theory of sustainable systems. Fluid Phase Equilib 194:3–14. doi:10.1016/S0378-3812(01)00677-X

    Article  Google Scholar 

  • Chakraborty K, Das S, Kar TK (2011) Optimal control of effort of a stage structured prey- predator Fishery model with harvesting. Nonlinear Anal Real World Appl 12:3452–3467. doi:10.1016/j.nonrwa.2011.06.007

    Article  Google Scholar 

  • Chang DS, Yeh LT, Liu W (2014) Incorporating the carbon footprint to measure industry context and energy consumption effect on environmental performance of business operations. Clean Technol Environ Policy. doi:10.1007/s10098-014-0785-9

    Google Scholar 

  • Diwekar U (2003) Introduction to applied optimization. Norwell, MA

    Book  Google Scholar 

  • Frieden BR (1998) Physics from Fisher information: a unification. Cambridge, UK

    Book  Google Scholar 

  • Haberl H, Plutzar C, Erb KH, Gaube V, Pollheimer M, Schulz NB (2005) Human appropriation of net primary production as determinant of avifauna diversity in Austria. Agric Ecosyst Environ 100:119–131. doi:10.1016/j.agee.2005.03.009

    Article  Google Scholar 

  • Kotecha P, Diwekar U, Cabezas H (2012) Model-based approach to study the impact of biofuels on the sustainability of an ecological system. Clean Technol Environ Policy 15:21–33. doi:10.1007/s10098-012-0491-4

    Article  Google Scholar 

  • Krausmann F, Erba KH, Gingricha S, Haberla H, Bondeaub A, Gaubea V, Lauka C, Plutzara C, Searchingerd TD (2012) Global human appropriation of net primary production doubled in the 20th century. Proc Natl Acad Sci 110:10324–10329. doi:10.1073/pnas.1211349110

    Article  Google Scholar 

  • Llibre J, Xiao D (2014) Global dynamics of a lotka—volterra model with two predators competing for one prey. SIAM J Appl Math 74:434–453. doi:10.1137/130923907

  •  Mäler K, Xepapadeas A, Zeeuw AD (2003) The economics of shallow lakes. Environ Recour Econ 26:603–624. doi:10.1023/B:EARE.000000735

    Article  Google Scholar 

  • Meadows DH, Meadows DL, Randers J (1992) Beyond the limits: confronting global collapse, confronting global collapse, envisioning a sustainable future. Chelsea Green, Post Mills

    Google Scholar 

  • Menshutkin VV, Rukhovets LA, Filatov NN (2014) Ecosystem modeling of freshwater lakes (review): 2. models of freshwater lake’s ecosystem. Water Resour 41:32–45. doi:10.1134/S0097807814010084

    Article  CAS  Google Scholar 

  • Rodríguez-Labajos B, Martínez-Alier J (2013) The economics of ecosystems and biodiversity: recent instances for debate. Conserv Soc 11:326–342. doi:10.4103/0972-4923.125744

    Article  Google Scholar 

  • Shastri Y, Diwekar U (2006) Sustainable ecosystem management using optimal control theory: part 1 (deterministic systems). J Theor Biol 24:506–521. doi:10.1016/j.jtbi.2005.12.014

    Article  Google Scholar 

  • Shastri Y, Diwekar U, Cabezas H, Williamson J (2008) Is sustainability achievable? Exploring the limits of sustainability with model systems. Environ Sci Technol 42:6710–6716. doi:10.1021/es800661x

    Article  CAS  Google Scholar 

  • Sohngen B, Mendelsohn R (2003) An optimal control model of forest carbon sequestration. Am J Agric Econ 85:448–457. doi:10.1111/1467-8276.00133

    Article  Google Scholar 

  • Waage E (2008) U.S. energy policy response to international food prices: the costs and effects of corn ethanol production. Politics Policy 36:792–804. doi:10.1111/j.1747-1346.2008.00135.x

    Article  Google Scholar 

  • Whitmore HW, Pawlowski CW, Cabezas H (2006) Integration of an Economy under Imperfect Competition with a Twelve-Cell Ecological Model. United States Environmental Protection Agency. http://nepis.epa.gov/Adobe/PDF/P100778R.pdf. Accessed 13 April 2013

Download references

Acknowledgments

This work was made possible and supported by VRI-CUSTOM (Vishwamitra Research Institute - Center for Uncertain Systems: Tools for Optimization & Management).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Urmila Diwekar.

Electronic supplementary material

Below is the link to the electronic supplementary material.

Supplementary material 1 (DOCX 308 kb)

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Doshi, R., Diwekar, U., Benavides, P.T. et al. Maximizing sustainability of ecosystem model through socio-economic policies derived from multivariable optimal control theory. Clean Techn Environ Policy 17, 1573–1583 (2015). https://doi.org/10.1007/s10098-014-0889-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10098-014-0889-2

Keywords

Navigation