Symposium 24 Jan 2008
New developments in Dynamic Energy Budget theory and applications
Place: Vrije Universiteit, room 06A04 main building
Route to the Vrije Universiteit
Progam on Thursday 24 Jan 2008
9:50 Bas Kooijman
Dept Theoretical Biology, Vrije Universiteit,
Amsterdam, the Netherlands
Welcome
This symposium is on the very special occasion of a series of three related graduations on
new developments in Dynamic
Energy Budget (DEB) theory for metabolic organisation. Young
scientists like these promising talents determine the future of
scientific research; their
graduations fit into an unfolding international research
program. In combination with the two related
graduations on DEB theory in Nov 2006 at the VU and the
graduation on economic
applications of DEB theory in Lisbon in Feb 2007, this level of
output of the DEB research program not only illustrates the
increasing impact of the theory on science, but also its capacity
to unify topics that seemed to be unrelated in the past. Today's
contributions further demonstrate the versatility of theory on
metabolic organisation. Zeven excellent scientists will inform us
about various different developments in the context of DEB theory,
and about very practical applications of the theory in different
corners of science. At first sight, these contributions
occasionally seem to be very different, but from an abstract point
of view, they have a lot in common. The recognition of these
commonalities help to push the boundaries of our understanding of
the problem, and allows rapid progress by making efficient use of
the substantial effort that has already been invested in developing
DEB theory, which has contributions from many scientists of various
disciplines. The successful Gordon conferences on the metabolic
basis of ecology in 2004,
2006
and 2008
show that the insight that metabolism is at the basis of ecology is
growing in general; our symposium today will demonstrate that a
coherent and consistent theory on this topic, with firm roots in
physics, chemistry, biology and earth sciences speeds up insight
considerably, well beyond the boundaries of ecology.
10:00 Jean-Christophe Poggiale
Laboratory of Microbiology Geochemistry and Marine Ecology
(LMGEM-UMR CNRS 6117),
Université de la Méditerrannée, Marseille, France
Marine bacteria - virus dynamics in a chemostat
A model describing an interaction between marine bacterial
populations and a virus in a chemostat environment is
presented. Three bacterial populations are described, a subceptible
one, an infected one and a resistant one. Their growth is limited
by a carbon substrate that is explicitly represented in the
model. The bacteria-organic matter interaction is formulated with
a Monod model. The anaysis of the dynamics is presented and the
coexistence of resistant and susceptible populations is discussed
by considering the effects of the virus. The extension of the model
to the DEB model will be discussed and the analysis method provided
in this talk may be applied to the DEB extension.
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10:45 Olivier Maury
IRD (Institut de Recherche pour le Développement)
Research Unit Thetis (UR109) CRH (Centre de Recherches Halieutiques
Méditerranéennes et Tropicales) Sète cedex,
France
A DEB-based size-spectrum model of ecosystems including
life history diversity
I will discuss a size-structured DEB model of the energy flow through
marine ecosystems, based on established ecological and physiological
processes and mass conservation principles. The model represents the
transfer of energy in both time and body weight (size) in marine
ecosystems and includes size-based opportunistic trophic interactions,
competition for food, allocation of energy between growth and
reproduction, somatic and maturity maintenance, predatory and
starvation mortality. The model outputs the dynamic size-spectrum of
marine ecosystems in terms of energy content per weight class as well
as many other size-dependent diagnostic variables such as growth rate,
egg production or predation mortality. In stable environmental
conditions, the model converges toward a stationary linear log
log size-spectrum with a slope equal to 1.06, which is consistent with
the values reported in empirical studies. In some cases, the
distribution of the largest sizes departs from the stationary linear
solution and is slightly curved downward. A sensitivity analysis to
the parameters is conducted systematically. It shows that the
stationary size-spectrum is not very sensitive to the parameters of
the model. The numerical effects of temperature and primary production
variability on marine ecosystems size-spectra are also discussed,
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11:30 Marianne Alunno-Bruscia
PFOM / UMR 100 "Physiologie & Ecophysiologie des Mollusques Marins",
IFREMER (French Research Institute for Exploitation of the Sea),
Argenton-en-Landunvez, France
What does the DEB model enlighten on the physiology
of a marine bivalve, Crassostrea gigas?
Marine bivalves, and especially the Pacific oyster Crassostrea gigas,
are economically important in French aquaculture. In several shellfish
areas, oysters are then the dominant species in terms of biomass and
production. In this context, there is a need for modelling tools to
understand ecological processes in shellfish ecosystems and to help
sustainable management of the oyster farming. Over the last 15 years,
numerous energetic models that explain growth of bivalves according to
the environment (temperature, food), have been developed. Recently, a
model based on the DEB theory (Kooijman, 2000) has been successfully
built up for the Pacific oyster (Pouvreau et al., 2006); some
parameters of this DEB model have been modified ever since (Bourles et
al. in prep., ICSR2007).
The resulting new version of the oyster-DEB model was tested in
various environments where C. gigas is cultured (e.g. Arcachon
Bay). In Arcachon Bay, datasets which were used to test the model
consist in a 18-year series (1988-2005) of oyster growth data and
environmental data. Forcing variables of the model are water
temperature and phytoplankton identification (number of cells per
litter by species). Simulations of the model are compared to observed
growth data and we discuss whether they fit accurately observations,
with a special emphasis on the effect of quality of the phytoplankton
species. We show that from year to year the model successfully
predicts the growth and reproduction of oysters, as well as the timing
of spawning. The only parameter that varies among simulations is the
halfsaturation coefficient (XK) because of inter-annual
variations in the algae species, i.e. in the diet composition for
oysters. Some algae species in Arcachon Bay are likely not well
assimilated by C. gigas. This result could partly explain the
growth variability of oysters that is reported among French shellfish
areas.
References:
Kooijman S.A.L.M. 2000. Dynamic energy and mass budgets in biological systems. Cambridge University Press, Cambridge.
Pouvreau, S., Y. Bourlès, et al. (2006). Application of a dynamic energy budget model to the Pacific oyster, Crassostrea gigas, reared under various environmental conditions. J. Sea Res. 56: 156-167.
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13:15 Jaap van der Meer
Dept Marine Ecology & Evolution, NIOZ, Texel, the Netherlands
Seasonal timing of reproduction in the bivalve
Macoma balthica: a model study of fitness consequences
Many organisms have to cope with seasonally varying environmental
conditions and resource availability. The annual timing of
reproduction in such environments may have large fitness
consequences. Examples are insectivorous birds that are only able to
raise their offspring during the annual peak in caterpillar abundance,
larval amphibians requiring pools of water which are only present
during a short period of the year, and larvae of marine invertebrates
that profit from the spring peak in phytoplankton abundance. Indeed,
most scholars have studied the fitness consequences of the timing of
reproduction in terms of the short-term prospects of the offspring.
Generally speaking, it is however not immediately obvious why
emphasis should be put on the earliest life phase of the
offspring. Adults themselves may profit from the food peak and by
these means increase total reproductive output. It might also be more
profitable for the young to experience the food peak at a later stage
and a larger size. Here we apply a modelling approach based on first
principles to examine the optimal timing of reproduction in a seasonal
environment.
A size-structured population model is formulated where the
individual is described by means of the standard Dynamic Energy Budget
(DEB) model. The state of each model individual is given by its
structural size, its reserves and its maturity level (for juveniles)
or cumulative reproductive investment (for adults). Maintenance,
growth and maturation and/or reproduction are paid from the reserves
and when the amount of reserves is insufficient to pay the
maintenance, the individual dies. Additional background mortality is
assumed. Reserve dynamics depend upon food abundance. Reproductive
investments are released once a year. All rates depend upon
temperature in a similar fashion. All individuals within a
"population" have the same energy budget parameters and follow the
same timing-of-reproduction strategy. Individuals thus arrive in
annual cohorts and population dynamics is a matter of bookkeeping of
the fate of each annual cohort (in terms of numbers and state of the
constituent individuals). The environment is assumed to be a
pseudo-chemostat, which means that food flows in and out of the
system, but the animals do not. The food concentration of the inflow
follows a fixed seasonal pattern, with a single spring peak. The
dynamics of food abundance is thus a matter of inflow, grazing and
outflow. Temperature varies seasonally.
Evolutionary dynamics is studied by means of an Adaptive Dynamics
approach. By this we mean that we consider a resident population that
has settled in steady-state and then introduce mutant populations that
do not affect the food environment and that show a small change in
timing-of-reproduction strategy in comparison with the resident
population. We examine the instantaneous population rate of increase
of the mutant to see whether it can invade the resident population.
By using a rigorous energy budget model our approach thus includes
trade-offs at the organismal level of a specific
"timing-of-reproduction" strategy, something that is usually neglected
in life-history optimization studies. Our study also includes possible
feedback effects through environmental change (i.e. food
availability), and hence takes a game-theoretical point of view. The
strategies that other players in the field follow are taken into
account.
The particular system we have in mind is that of a marine bivalve
species Macoma balthica, which is very abundant in the Dutch Wadden
Sea. DEB parameters for this species have recently been estimated.
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14:00 Cédric Bacher
Program Manager "Dynamics and Health of Coastal and
Estuarine Ecosystems",
IFREMER, Plouzané, France
The carrying capacity of oyster cultures as predicted
by the coupling between a DEB model for oysters and a classical primary
production model
Sorry, but abstract are not available.
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15:00 Alain Franc
INRA, UMR Biodiversité, Gènes et
Communautés & Département Ecologie des Forêts, Prairies et
Milieux Aquatiques, CDA, University of Bordaux, France
Plant communities between permanence and diversity
Modelling at the same time diversity of organisms and permanence of
population assemblage into communities has been a holy grail in
community ecology since its beginnings. Plant communities
classically are studied as assemblages of species. Recently, a few
teams have studied them as assemblages of functional traits, with
trait definition at community level. However, a plant is itself a
non random assemblage of several traits, as an outcome of
co-evolution, shaped by biotic interactions. Here, we present a
community assembly model, starting with Law (1998) ideas,
incorporate plant description as trait assemblage, and show that
permanence of community structure is attained much more easily in
such a way than through assembly of whole phenotypes. The formal
analogy with genetic algorithm of co-evolution is emphasized and
discussed, suggesting a way to study the role of history in shaping
assemblages.
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15:45 Tiago Domingos
Instituto Superior Técnico,
University of Lisbon, Portugal
DEB theory as a paradigm for the integration of thermodynamics with
the biological and the social sciences
Thermodynamic constraints must be obeyed, but are not enough to
build theories in biological and social systems. This is the
underlying cause for two major divisions in two scientific areas:
Ecology and Economics. In Ecology, it is the division between
Ecosystem and Physiological Ecology, where the accounting units are
energy and mass flows, and Population and Community Ecology, where
the accounting unit is number of individuals. In Economics, it is
the division between Ecological Economics (a clear minority), based
on energy and mass flows, and Neoclassical economics (the
mainstream), based on utility and profit. Based on recent work
establishing a formal axiomatic structure for DEB theory (Sousa et al., 2008, From
empirical patterns to theory: A formal metabolic theory of life,
Transactions of the Royal Society of London B, in press) we
show how DEB theory achieves the integration of Thermodynamics with
Biology, pointing the way to an analogous achievement in the social
sciences.
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Interest in DEB tele course 2009? Go to the DEB information page