@article{fdi:010040825,
  title = {{M}odeling environmental effects on the size-structured energy flow through marine ecosystems. {P}art 1 : {T}he model},
  author = {{M}aury, {O}livier and {F}augeras, {B}laise and {S}hin, {Y}unne-{J}ai and {P}oggiale, {J}. {C}. and {B}en {A}ri, {T}amara and {M}arsac, {F}rancis},
  editor = {},
  language = {{ENG}},
  abstract = {{T}his 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. {T}he 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. {T}he 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. {A}ll the physiological rates are temperature-dependent. {T}he physiological bases of the model are derived from the dynamic energy budget theory. {T}he 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. {I}n 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. {I}n 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. {I}t shows that the stationary size-spectrum is not very sensitive to the parameters of the model. {N}umerical simulations of the effects of temperature and primary production variability on marine ecosystems size-spectra are provided in a companion paper [{M}aury, {O}., {S}hin, {Y}.{J}., {F}augeras, {B}., {B}en {A}ri, {T}., {M}arsac, {F}., 2007. {M}odeling environmental effects on the size-structured energy flow through marine ecosystems. {P}art 2: simulations. {P}rogress in {O}ceanography, doi:10.1016/j.pocean.2007.05.001].},
  keywords = {size spectrum ; mathematical model ; predation ; {B}ioenergetics ; dynamic energy budget {DEB} theory ; energy flow},
  booktitle = {},
  journal = {{P}rogress in {O}ceanography},
  volume = {74},
  numero = {4},
  pages = {479--499},
  ISSN = {0079-6611},
  year = {2007},
  DOI = {10.1016/j.pocean.2007.05.002},
  URL = {https://www.documentation.ird.fr/hor/fdi:010040825},
}