Complex Dynamic Phenomena in Environmental Planning and Management

Sergio Rinaldi, DEI, Politecnico di Milano, Italy

École Normale Supérieure, Paris, France, April 17-18, 2008

Environmental management and nonlinear dynamics

An overwiew of the most typical problems one encounters in enviromental planning and management. Emphasis on relationships with nonlinear dynamics. [lecture notes]

Further reading: Journal of Enviromental Management (1996), 48, 357-373.

The problem of floating plants in reservoirs

Description of the problem through a model of competition between floating and submerged plants. Analysis of the model: alternative stable states. Bifurcation analysis and derivation of possible control actions. Analysys of the history of Lake Kariba on the Zambesi river. [lecture notes]

Further reading: PNAS (2003), 100, 4040-4045.

Forest exploitation and acid rain: A dangerous mix

Description of the problem through a series of minimal models. Existence of catastrophic bifurcations (forest collapse). Cusp bifurcation: negative synergistic effect of acid rain and exploitation. [lecture notes]

Further reading: Vegetatio (1987), 69, 213-222; Appl. Math. Modelling (1989), 13, 674-681; Theor. Pop. Biol. (1998), 54, 257-269.

The reclamation of eutrophic water bodies

Description of the problem in terms of minimal models involving algae, zooplankton and planktivorous fish. Analysis of the bifurcations of the model: the appearance and disappearance of clear-water regimes. Biological control. [lecture notes]

Further reading: OIKOS (1997), 80, 519-532.

Tourism sustainability: An overview

The three components of the problem: tourists, environment and facilities. Detection of possible scenarios. Profitable, compatible and sustainable policies. Adaptivity. The case of alternative classes of tourists and of diversified investments. [lecture notes]

Further reading: Conservation Ecology (2002), 6(1): 13 [online]; Chaos and Complexity Letters (2005), 1, 121-133.

Enrichment and yield maximization

Exploitation of renewable resources. Enrichment and mean yield maximization. Analysis of the case of tritrophic food chains. Optimality at the edge of chaos. Derivation of management rules. [lecture notes]

Further reading: Am. Nat. (1997) 150, 328-345; Bull. Math. Biol. (1998) 60, 703-719; Ecol. Lett. (1999) 2, 6-10; J. Math. Biol. (2002) 45, 396-418.