@article{fdi:010048414,
  title = {{M}ultiregional periodic matrix for modeling the population dynamics of sardine ({S}ardina pilchardus) along the {M}oroccan {A}tlantic coast : management elements for fisheries},
  author = {{S}erghini, {M}. and {B}outayeb, {A}. and {A}uger, {P}ierre and {C}harouki, {N}. and {R}amzi, {A}. and {E}ttahiri, {O}. and {T}chuente, {M}.},
  editor = {},
  language = {{ENG}},
  abstract = {{I}n this paper, we present a deterministic time discrete mathematical model based on multiregional periodic matrices to describe the dynamics of {S}ardina pilchardus in the {C}entral {A}tlantic area of the {M}oroccan coast. {T}his model deals with two stages (immature and mature) and three spatial zones where sardines are supposed to migrate from one zone to another. {T}he population dynamics is described by an autonomous recurrence equation {N}(t + 1) = {A}.{N}(t), where {A} is a positive matrix whose entries are estimated using data collected during biannual acoustic surveys carried out from 2001 to 2003 onboard the {N}orwegian research vessel "{D}r {F}ridtjof {N}ansen". {T}he dominant eigenvalue lambda of {A} that gives the long-term growth rate of fish population is smaller than one. {T}his agrees with the stock decrease observed in the data collected. {W}e show that lambda is highly sensitive to the recruitment rate and much less sensitive to the reproduction rate. {T}hese results can clearly be used to define an efficient scenario in order to fight for instance against a stock decrease.},
  keywords = {{M}athematical model ; {M}ultiregional periodic matrices ; {S}ub-stage ; {D}ominant eigenvalue ; {G}rowth rate ; {S}ensitivity ; {S}ardina pilchardus ; {F}isheries management},
  booktitle = {},
  journal = {{A}cta {B}iotheoretica},
  volume = {57},
  numero = {4},
  pages = {501--512},
  ISSN = {0001-5342},
  year = {2009},
  DOI = {10.1007/s10441-009-9090-0},
  URL = {https://www.documentation.ird.fr/hor/fdi:010048414},
}