Institut Henri Poincaré
quarterly thematic program MABIES
Mathematics of Bio-Economics
2013, January 7 - April 5



The MABIES final report can be downloaded here

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IHP MABIES website

MABIES website


The quarterly thematic program Mathematics of Bio-Economics (MABIES) takes place at Amphithéatre Darboux, Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 Paris (access details).


The quarterly thematic program Mathematics of Bio-Economics (MABIES 2013, January 7 - April 5) emphasizes the interfaces of mathematics with, on the one hand, ecology and, on the other hand, economics. Our ambition is twofold. We aim to show that original mathematics can be inspired by issues from ecology and from economics of sustainable development. We also intend to display to a biological and economic audience how mathematics, with their concepts and methods, can contribute to the knowledge and to the sustainable management of biodiversity. We hope to jointly identify mathematical challenges related to ecology and sustainable development.


1 Institut Henri Poincaré and Mathematics of Planet Earth 2013

The Institut Henri Poincare (IHP) is an institution hosting visiting scientists in an environment of collaboration and scientific innovation, and is located in Paris. Over the years since its creation in 1928, IHP has established itself as an emblematic meeting place of French Mathematics and Theoretical Physics. Countless collaborations and mathematical innovations are born every year.

The North American Mathematical Science Institutes propose that 2013 be a year of Mathematics of Planet Earth - MPE2013.

The trimester MABIES is the contribution of IHP to MPE2013.

2 Motivations

Biodiversity and ecosystems are experiencing accelerating changes with some alarming trends and largely unknown consequences. A major cause of these threats on biodiversity observed in many ecosystems is related to man's development and anthropogenic activities including fishing, agriculture or hunting. The changes in biodiversity in turn affect human activities relying on it and alter important economic commodities (typically food, energy, drugs) or services (typically tourism, pollination, carbon cycle, water cycling) provided by the biological diversity and renewable resources. As a consequence, the sustainable management of biodiversity is now questioned and has become a major issue for national and international agencies involved in their regulation (ICES, FAO, IUCN, etc.).

In this context, the IPBES (Intergovernmental Science Policy Platform for Biodiversity and Ecosystem Services), an ``IPCC-like'' platform launched in 2010, will play a major role to articulate the scientific knowledge on the changes and degradation of the natural world, with knowledge on effective solutions and public policies. In particular, the effectiveness of management instruments including quotas, protected areas, taxes, etc. has to be considered in both ecological and socio-economic dimensions. Thus bio-economic quantitative methods, indicators, models, management and scenario methods are needed.

The aim of the quarterly thematic program Mathematics of Bio-Economics (MABIES) is to foster cooperation and information interchange among those engaged in the mathematical modeling of systems related to the management of natural renewable resources and scenarios of biodiversity (marine and terrestrial). This includes specialists in control of dynamical systems, management of uncertainty and risk. Such goal requires interdisciplinary exchanges between mathematics, ecology, economics and computer sciences. Particular attention will be paid to the following applied fields: fisheries, agricultural systems, forest management, wildlife management and invasive species issues. Mathematics -- by providing integrated concepts, models and methods -- should favor the interactions between these applied disciplines. In particular, of interest will be the use of various methods in different mathematical domains such as optimal control, stabilization methods, viable control and invariance methods, stochastic and robust control, adaptive control, multi-criteria approaches, game theory.

3 Invited participants

4 Organizing and scientific committees

4.1 Organizing committee

4.2 Scientific committee

5 MABIES Planning

The quarterly thematic program Mathematics of Bio-Economics has followed the path of progressively introducing mathematical concepts and methods, woven with sustainable management issues and applications. Every two week on Monday morning, the organizers delivered a course (also open to Master students), followed on the next week by a computer practical session. The theme gave the mathematical color of the two coming weeks: dynamical systems, controlled dynamics and equilibria, optimal control and sustainability, viability. During the last month, more advanced material was provided: stochastic control, game theory. Every week, but for workshops, tutorials by invited professors were programmed to provide the participants either with more specialized theoretical material or with applications in biodiversity management: fisheries, agricultural systems, forest management, wildlife management and invasive species, epidemiology. Every Friday afternoon was devoted to talks by students participants on their research topics. Three regularly spaced workshops were the opportunity for researchers to present their recent results on Mathematics of Ecological Economics, Risk and Learning in Biodiversity Management, Spatial Management of Biodiversity.

5.1 Introduction to decision modelling for the management of renewable resources [2013, January 7 - January 11 ]

5.2 [2013, January 14 - 18 ]

5.3 Controlled dynamics and equilibria [2013, January 21 - 25]

5.4 [2013, January 28 - February 1]

5.5 Optimality and sustainability [2013, February 4 - 8 ]

5.6 Workshop Mathematics of Ecological Economics [2013, February 11 - February 15 ]

5.7 Viability [2013, February 18 -22 ]

5.8 [2013, February 25 - March 1]

5.9 Workshop Risk and Learning in Biodiversity Management [2013, March 4 - 8 ]

5.10 Game theory, coordination, strategic interactions and trade [2013, March 11 -15]

5.11 Ecosystems and biodiversity indicators [2013, March 18 - March 22]

5.12 Workshop Spatial Management of Biodiversity [2013, March 25 - 29 ]

5.13 [2013, April 1 - 5 ]