%0 Journal Article
%9 ACL : Articles dans des revues avec comité de lecture répertoriées par l'AERES
%A Maury, Olivier
%A Faugeras, Blaise
%A Shin, Yunne-Jai
%A Poggiale, J. C.
%A Ben Ari, Tamara
%A Marsac, Francis
%T Modeling environmental effects on the size-structured energy flow through marine ecosystems. Part 1 : The model
%D 2007
%L fdi:010040825
%G ENG
%J Progress in Oceanography
%@ 0079-6611
%K size spectrum ; mathematical model ; predation ; Bioenergetics ; dynamic energy budget DEB theory ; energy flow
%M CC:0002496331-0003
%N 4
%P 479-499
%R 10.1016/j.pocean.2007.05.002
%U https://www.documentation.ird.fr/hor/fdi:010040825
%> https://www.documentation.ird.fr/intranet/publi/2007/11/010040825.pdf
%V 74
%W Horizon (IRD)
%X This paper presents an original size-structured mathematical model of the energy flow through marine ecosystems, based on established ecological and physiological processes and mass conservation principles. The model is based on a nonlocal partial differential equation which represents the transfer of energy in both time and body weight (size) in marine ecosystems. The processes taken into account include size-based opportunistic trophic interactions, competition for food, allocation of energy between growth and reproduction, somatic and maturity maintenance, predatory and starvation mortality. All the physiological rates are temperature-dependent. The physiological bases of the model are derived from the dynamic energy budget theory. The model outputs the dynamic size-spectrum of marine ecosystems in term 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 and using a reference set of parameters derived from empirical studies, 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. Numerical simulations of the effects of temperature and primary production variability on marine ecosystems size-spectra are provided in a companion paper [Maury, O., Shin, Y.J., Faugeras, B., Ben Ari, T., Marsac, F., 2007. Modeling environmental effects on the size-structured energy flow through marine ecosystems. Part 2: simulations. Progress in Oceanography, doi:10.1016/j.pocean.2007.05.001].
%$ 036 ; 021 020