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NVTB Symposium 7 Nov 2006. Spatial heterogeneity in marine ecology : two examples. Jean-Christophe POGGIALE. Centre d’Océanologie de Marseille (OSU) Laboratory of Marine Microbiology, geochemistry and Ecology (UMR 6117) Case 901 – Campus de Luminy – 13288 Marseille Cedex 09
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NVTB Symposium 7 Nov 2006 Spatial heterogeneity in marine ecology : two examples Jean-Christophe POGGIALE Centre d’Océanologie de Marseille (OSU) Laboratory of Marine Microbiology, geochemistry and Ecology (UMR 6117) Case 901 – Campus de Luminy – 13288 Marseille Cedex 09 poggiale@com.univ-mrs.fr
NVTB Symposium 7 Nov 2006 Mathematical Ecology Dr. David NERINI Dr. Claude MANTE Caroline TOLLA (PhD) Marie EICHINGER (PhD) Dr. Anne-Françoise YAO
NVTB Symposium 7 Nov 2006 EXAMPLE 1 NITROGEN CYCLE IN MARINE SEDIMENTS: Impact of heterogeneity on degradation processes intensity
NO3 N2 Diffusion Assimilatrice reduction NO3 NO2 NH4 Norg Nitrification Ammonification Diffusion NO3 NO2 NH4 N2O N2 Ammonification Denitrification NVTB Symposium 7 Nov 2006 Nitrogen cycle in marine sediments Column water Oxic sediment Anoxic sediment
NVTB Symposium 7 Nov 2006 Usual formulations in biogeochemical models
NVTB Symposium 7 Nov 2006 Role of bioturbation • Bioturbation : reworking activities and displacements induced by macro – organisms in sediments • Transport of particles, solutes and microorganisms • Presence of oxic zones in the anoxic layer and of anoxic zones in the oxic layer (spatial heterogeneity) • Permanent modifications of the micro-organisms environment (temporal heterogeneity) • Source of temporal and spatial heterogeneity How does it affect the fate of organic matter?
Oxic layer NVTB Symposium 7 Nov 2006 Example of experiments Anoxic layer 45 days 45 days 45 days N2 oxic anoxic RedOx oscillations
NVTB Symposium 7 Nov 2006 Conclusions of experiments • Quantification of nitrogen mineralization (organic nitrogen transformed in NH4, NO3, N2O or N2) • Nitrogen mineralization in oxic conditions>1.6 * nitrogen mineralization in anoxic conditions • Nitrogen mineralization in oscillating conditions>4.8 * nitrogen mineralization in oxic conditions
INTERMEDIATE PROCEDURE • define a model which describes the degradation processes; • reproduce temporal variations with a periodic forcing associated to RedOx oscillations. NVTB Symposium 7 Nov 2006 How to proceed to understand the previous result? • define a model which describes the degradation processes; • couple this model with a bioturbation model which reproduces the spatial and temporal heterogeneity.
NVTB Symposium 7 Nov 2006 Modelling bioturbation Cochran model - 1985 C C C z z z
Day 0: luminophores added (4 g; 80-150 µm) Day 9: macrofauna 1-cm thick slicing sieving Sediment and fluorescent particles z drying + homogeneization MUC Core (diam.: 10 cm) [Luminophores] = f (z,t) • Biodiffusive profiles • Cochran (1985) ¶ ¶ Luminophore counting under UV light C C = D 2 b ¶ ¶ NVTB Symposium 7 Nov 2006 Quantification by luminophores technique t x ²
NVTB Symposium 7 Nov 2006 Quantification with 2D-optical system T0: luminophores added (2 g; 80-150 µm) time serie pictures z Plexiglas squared core from Usnel Box corer May 2001 cruise
NVTB Symposium 7 Nov 2006 Example of images 0 18 Time (h) Same kind of images for oxygen, nitrate, pH, …
NVTB Symposium 7 Nov 2006 Biogeochemical models
BAC (%) POC (mmol/l) O2 (µmol/l) NO3 (µmol/l) 2 j 4 j 8 j 16 j NVTB Symposium 7 Nov 2006 Example of numerical simulations
NVTB Symposium 7 Nov 2006 Conclusions and perspectives • Need a more biologically relevant formulation • Micro-organisms respond to environmental perturbations at individuals levels • DEB theory permits to: • take individuals level into account in population dynamics models, • describe the role of organisms on elements cycles by using mass balance arguments, • maintain a trade off between biological realism and required simplicity of models at the ecosystem level • Use a DEB approach to explain how a heterogeneous environment may support higher degradation rates than homogeneous environment
NVTB Symposium 7 Nov 2006 EXAMPLE 2 COMPETITION IN THE COLUMN WATER: Impact of heterogeneity on biodiversity
NVTB Symposium 7 Nov 2006 The problem position • Exclusion principle : no more than one species on one limiting factor in homogeneous environment, the other species are outcompete • Plankton paradox (Hutchinson, 1961) • Lots of explanations, a few of them are really satisfying from a theoretical point of view
NVTB Symposium 7 Nov 2006 Temporal heterogeneity induced by physics Availability of nutrients at individuals scale Time (sec.)
NVTB Symposium 7 Nov 2006 A first approximation : Oscillating conditions
sp 1 excludes sp 2 Region of coexistence m1/d1 Extinction sp 2 excludes sp 1 m2/d2 NVTB Symposium 7 Nov 2006 A first approximation : Oscillating conditions (Hsu, 1980, Smith, 1980) H. Smith, 1997 : monospecific Droop Model
NVTB Symposium 7 Nov 2006 Surge uptake Some experiments suggest that absorption rate increases with reserve at a short time scale
NVTB Symposium 7 Nov 2006 Competition in heterogeneous conditions
NVTB Symposium 7 Nov 2006 Time scales and mathematical simplifications
NVTB Symposium 7 Nov 2006 Competition in fluctuating food conditions
NVTB Symposium 7 Nov 2006 Competition in fluctuating food conditions
NVTB Symposium 7 Nov 2006 Competition in fluctuating food conditions
NVTB Symposium 7 Nov 2006 Competition in fluctuating food conditions
NVTB Symposium 7 Nov 2006 Competition in fluctuating food conditions
NVTB Symposium 7 Nov 2006 Competition in fluctuating food conditions
NVTB Symposium 7 Nov 2006 Competition in fluctuating food conditions
NVTB Symposium 7 Nov 2006 CONCLUSION • Fast response of individuals to food supply fluctuations • Intermittency of food supply simulation : long range memory processes (fractional brownian processes) • Mechanistic basis of the population dynamics model : DEB theory