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Sustainability and substitutability.

Eli P Fenichel1, Jinhua Zhao

  • 1Yale University, New Haven, CT, USA, eli.fenichel@yale.edu.

Bulletin of Mathematical Biology
|May 3, 2014
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Summary
This summary is machine-generated.

Investing in knowledge to enhance substitutability is crucial for achieving desirable sustainable outcomes. This investment is vital for the accumulation of natural, built, and knowledge capital, even with suboptimal natural resource management.

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Area of Science:

  • Sustainability Science
  • Mathematical Modeling
  • Ecological Economics

Background:

  • The concept of substitutability is central to sustainability but lacks a unified definition across disciplines.
  • Economics typically views substitutability marginally, while ecology focuses on limiting behaviors.

Purpose of the Study:

  • To reconcile differing disciplinary definitions of substitutability.
  • To develop a quantitative model for sustainability science.
  • To explore the role of knowledge investment in enhancing substitutability.

Main Methods:

  • Developed a mathematical model incorporating investments in knowledge to increase elasticity of substitution.
  • Analyzed sustainable and optimal trajectories for capital accumulation (natural, built, knowledge).
  • Examined the impact of knowledge-driven substitutability on natural capital value.

Main Results:

  • Investments in knowledge significantly enhance substitutability, positively impacting sustainable outcomes.
  • Knowledge stock accumulation affects the valuation of natural capital.
  • The importance of knowledge investment persists even when natural capital is not optimally managed.

Conclusions:

  • Investing in knowledge to boost substitutability is of primary importance for achieving sustainability.
  • A quantitative science of sustainability necessitates integrating diverse mathematical concepts.
  • Enhanced substitutability through knowledge is critical for long-term ecological and economic well-being.