@article{fdi:010091052,
  title = {{D}esigning compact, connected and gap-free reserves with systematic reserve site selection models},
  author = {{B}runel, {A}drien and {O}mer, {J}. and {G}icquel, {A}. and {L}anco, {S}.},
  editor = {},
  language = {{ENG}},
  abstract = {{P}rotected areas play a crucial role in current global policies to mitigate the erosion of biodiversity and systematic reserve site selection models are increasingly involved in their design. {T}hese models address the optimisation problem that seeks to cover spaces hosting biodiversity features with nature reserves at a minimum cost for human activities. {T}o increase the likelihood of a successful implementation, reserves need to be spatially consistent. {W}idely used decision support tools such as {M}arxan and {P}rioritiz{R} commonly enforce compactness indirectly by penalising the reserve perimeter in the objective function. {F}ew other optimisation models explicitly consider spatial properties such as limited fragmentation, connectivity of selected sites, and buffer zones around them, etc . {S}o far, no reserve site selection model can guarantee the production of a connected, compact, and gap -free reserve all at once. {T}he impossibility of designing reserve solutions with desirable spatial properties using existing models makes it difficult to implement such solutions in the real world. {T}herefore, we propose a mixed -integer linear program to build a reserve that is connected, compact, and gap -free. {T}o enforce these spatial attributes within a reserve site selection model, we used a multicommodity flow approach. {W}e tested the computational feasibility of our model on generated instances and the real instance of {F}ernando de {N}oronha. {T}he results indicate that a single model can be used to enforce compactness, connectivity, and the absence of gaps. {U}sing this optimisation model, conservation practitioners can design reserve solutions with desirable spatial properties, thereby increasing the likelihood of a successful implementation.},
  keywords = {{R}eserve site selection ; {I}nteger linear programming ; {C}onnectivity ; {C}ompactness ; {G}ap-free ; {F}ragmentation},
  booktitle = {},
  journal = {{A}pplied {M}athematical {M}odelling},
  volume = {134},
  numero = {},
  pages = {307--323},
  ISSN = {0307-904{X}},
  year = {2024},
  DOI = {10.1016/j.apm.2024.06.001},
  URL = {https://www.documentation.ird.fr/hor/fdi:010091052},
}