Water Resour Manage
DOI 10.1007/s11269-016-1391-x
Water Resource Use and Competition in an Evolutionary
Model
A. Antoci
1
· S. Borghesi
2
· M. Sodini
3
Received: 16 November 2015 / Accepted: 2 June 2016
© Springer Science+Business Media Dordrecht 2016
Abstract Over the last few years water scarcity and pollution have been rapidly growing
at both regional and global level. This has generated in many cases increasing intersectoral
competition over the use of a limited amount of water resources. To examine the dynamics
that such competition may generate in the economy, the present paper proposes a simple
dynamic evolutionary model in which two sectors (A and B) compete for the use of water
and studies the impact of water pricing on the dynamics of the two sectors in the presence
of a population of interacting economic agents characterized by imitative behaviors. As
it emerges from the model, when water is underpriced a self-enforcing process may be
observed driving the economy towards a Pareto-dominated equilibrium. In such equilibrium
the economy fully specializes in sector A, characterized by the highest negative impact on
the water resource, at the expenses of sector B. The paper shows that a policy of fine tuning
that increases water price through the endogenous water pricing mechanism examined in
the model can inhibit the convergence of the economy to such an equilibrium point and can
progressively shift the system towards the less water-consuming sector. Finally, assuming
a Leontief production function and performing numerical simulations, it is shown how a
change in water price can affect the dynamics of the model, and that the same results hold
also in a more general, three-sector context.
Keywords Water pollution · Water scarcity · Evolutionary dynamics · Water-use permits
M. Sodini
mauro.sodini@unipi.it
1
University of Sassari, Sassari, Italy
2
University of Siena, Siena, Italy
3
University of Pisa, Pisa, Italy