Lorentz Center

International center for scientific workshops

International center for scientific workshops

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## Spatio-Temporal Dynamics in Ecology |

Ongoing changes in the global climate
have pushed into prominence the study of complex natural systems, as tools for
addressing issues related to, among others, the biodiversity crisis,
large-scale desertification, and biosphere-climate feedbacks. These studies typically
consider very different processes, for instance, linking algal growth to carbon
fluxes and nutrient availability within the atmosphere and oceans. To
understand the functioning and dynamics of such multi-scale ecosystems, natural
communities and the climate, explicit modeling of the interplay of physical and
biological processes, both in space and time, is essential. The first steps toward a spatial theory
for natural systems has greatly benefited from interactions between biology,
mathematics, and physics. Our current understanding of spatial
self-organization in ecosystems itself sprung from the pivotal work of
mathematicians and physicists, such as Turing's mathematical study of the onset
of pattern formation. Additionally, insights from dynamical systems theory shed
light on the complex, possibly chaotic, behavior within foodwebs.
Concurrently, ecological phenomena and studies have been inspiring the
development of novel mathematical methods, as well as mathematical education
and conceptualization, for over a century. Despite the importance of such
multidisciplinary interactions, direct collaborations between ecologists,
mathematicians and physicists remain limited. This is in part due to
differences in educational background and scientific culture. Our plan is to
bring together participants from representative cross-sections of ecology,
(applied) mathematics and physics that specialize in theoretical, computational
and data-driven investigations of spatial processes in ecosystems, populations
and the climate. The workshop will present key speakers
that have bridged diverse fields by introducing concepts and techniques from
mathematics/physics into ecology or vice versa. In that way, interfaces between
mathematics, physics, and ecology will be set as focal points of the proposed
workshop. The workshop will address a number of
fields where the interaction between ecology, mathematics and physics has
proved particularly fruitful. • Spatial patterns and
other forms of spatial organization from the interaction of organisms with the
physical world. • Effects
of spatio-temporal complexity on the dynamics of
natural communities. • How does individual
behavior translates to the population continuum, with emphasis on movement. In all topics, we will explicitly
account for the interplay between internally generated and externally imposed
complexity, addressing chaotic dynamics, regime shifts, and noise as an
overwhelming factor in mathematical dynamics. Data assimilation, that is, the
integration of empirical data into mathematical theory, represents another
lateral theme. Ongoing changes in the global climate
have pushed into prominence the study of complex natural systems, as tools for
addressing issues related to, among others, the biodiversity crisis,
large-scale desertification, and biosphere-climate feedbacks. These studies
typically consider very different processes, for instance, linking algal growth
to carbon fluxes and nutrient availability within the atmosphere and oceans. To
understand the functioning and dynamics of such multi-scale ecosystems, natural
communities and the climate, explicit modeling of the interplay of physical and
biological processes, both in space and time, is essential. The first steps toward a spatial theory for
natural systems has greatly benefited from interactions between biology,
mathematics, and physics. Our current understanding of spatial
self-organization in ecosystems itself sprung from the pivotal work of
mathematicians and physicists, such as Turing's mathematical study of the onset
of pattern formation. Additionally, insights from dynamical systems theory shed
light on the complex, possibly chaotic, behavior within food webs.
Concurrently, ecological phenomena and studies have been inspiring the
development of novel mathematical methods, as well as mathematical education
and conceptualization, for over a century. Despite the importance of such
multidisciplinary interactions, direct collaborations between ecologists,
(applied) mathematicians and physicists remain limited. This workshop brings
together participants from representative cross-sections of these disciplines
that specialize in theoretical, computational and data-driven investigations of
spatial processes in ecosystems, populations and the climate. In that way,
interfaces between mathematics, physics, and ecology are set as important focus
of the discussion. The workshop
addresses a number of fields where multidisciplinary interaction has proved
particularly fruitful. • Spatial patterns and
other forms of spatial organization emerging from the interaction of organisms
with the physical world. • Effects
of spatio-temporal complexity on the dynamics of
natural communities. • The translation of
individual behavior to the population continuum, with emphasis on movement. The workshop will present key speakers
that have bridged diverse fields by introducing concepts and techniques from
mathematics/physics into ecology or vice versa. In all topics, the interplay
between internally generated and externally imposed complexity will be
explicitly accounted for by addressing chaotic dynamics, regime shifts, and
noise. Data assimilation, that is, the integration of empirical data and
theory, represents another lateral theme. [Back] |