Centro de Modelamiento Matemático - CMM
Universidad de Chile 2007
Our goal at CMM To establish meaningful and productive relationships
between advanced mathematics and all endeavors of modern society
Rafael Correa, Pedro Gajardo(*), Héctor Ramírez
Yboon García, Adriana Piazza
Engineer´s Master Thesis
José Fernández (UTFSM), Francisco Jara (UCH), José Luis Malverde (UCH)
Students in internship
Nicolas Chaulet (ENSTA), Claire Nicolas (ENSTA), Julio Rodriguez (UCN), Joel Trigalo (ENSTA), Emmanuel Vincent (Ecole Centrale).
- CERMICS, Université de Paris-Est: Michel De Lara
- Departamento de Economía, Universidad Alberto Hurtado: Julio Peña
- Centro de Estudios Pesqueros, Santiago: Pedro Rubilar, Alejandro
- Instituto de Fomento Pesquero (IFOP): Patricio Barría
Colaboration from the productive sector
- Centro de Estudios Pesqueros (CEPES), Santiago
- Instituto de Investigación Pesquera (INPESCA), Concepción
(*) Universidad Técnica Federico Santa María
In Chile, the management of natural resources has a great impact on its economy. For this reason, we have branched out into the management of fishing. People who work in this area form an interdisciplinary group of researchers who come from different academic and governmental units throughout the country and overseas, including Peru and France. Using mathematical tools such as control theory, optimal control, game theory, viability and models from optimization and statistics, we are able to obtain amore complete understanding of how to determine regulations, negotiations and policies of extraction, while at the same time considering the eff ects of political, biological, climatic and economic changes in the area.
We highlight the following modeling efforts:
- Interaction Between Agents Exploiting the Same Fish Resource
The law regulating national fishing enterprises defines exclusive fi shing rights to the traditional fishing fleet when it operates within the first 5 nautical miles. The commercial fishing fl eet does not have access to this zone. These two kinds of agent undertake exploitation on very different scales, both geographically and in terms of the volume of catch taken. Their interaction ought to be such that fish transit between the two zones associated with the agents although the patterns of migration are not completely understood. Our aim here is to use game theory to simulate this interaction.
- Study of New Indicators for Sustainable Fish Exploitation
Using mathematical techniques for the controllability of systems in discrete time, we can study when a fish exploitation policy is viable. This is when a desirable confi guration, for example, from the economic point of view, is sustainable over time. In particular, we want to study if the biological indicators currently used are effective for these purposes. Further, we will study other possible indicators that can be used in the future to achieve the sustainable exploitation of fish resources.