@article{fdi:010086135,
  title = {{E}mpirical {O}rthogonal {M}aps ({EOM}) and principal spatial patterns : illustration for {O}ctopus distribution off {M}auritania over the period 1987-2017},
  author = {{B}ez, {N}icolas and {R}enard, {D}. and {A}hmed-{B}abou, {D}.},
  editor = {},
  language = {{ENG}},
  abstract = {{A}nalysis of spatiotemporal observations often leads to decomposition of the problem into a spatial part multiplied by a temporal part (factorization). {P}rincipal component analyses produce factors that are temporally uncorrelated but that remain spatially correlated, leading to incomplete factorization. {M}in-max autocorrelation factors developed many years ago are adapted here to ecological applications, leading to empirical orthogonal maps ({EOM}s). {EOM}s owe their name to the fact that they are indeed an enhancement of empirical orthogonal functions which extract the spatial patterns that explain most of the variability of a set of spatiotemporal observations indexed by time. {A}pplication on a time series of 61 scientific monitoring surveys targeting octopus distribution off the {M}auritanian coast indicates that ten basic maps are sufficient to recover 68% of the total variability, and that the first two {EOM}s explain 38.4% of this variability. {T}his manuscript clarifies the concept of orthogonality between factors in a spatial context. {T}his provides the conditions for using {E}uclidean distance between spatial distributions, which in turn supports the reduction of a large set of spatial distributions into a small subset of basic spatial distributions explaining most of the variability within the set of input maps.},
  keywords = {{F} 010086135 ; {S}patiotemporal data ; {F}actorization ; {P}rincipal maps ; {D}istance between ; maps ; {D}imension reduction ; {MAURITANIE} ; {ATLANTIQUE}},
  booktitle = {},
  journal = {{M}athematical {G}eosciences},
  volume = {[{E}arly access]},
  numero = {},
  pages = {[16 ]},
  ISSN = {1874-8961},
  year = {2022},
  DOI = {10.1007/s11004-022-10018-w},
  URL = {https://www.documentation.ird.fr/hor/fdi:010086135},
}