Abstract
Nature-Based Solutions can be considered one of the best answers to the various consequences and problems caused by climate change, poor urbanisation and population growth. They are used not only as measures for the protection, sustainable management and restoration of natural and modified ecosystems but also as measures to mitigate certain natural disasters such as erosion, flooding, drought, storm surge and landslide. The benefit is for both biodiversity and human well-being. This paper reviews articles about optimising the selection and placement of Nature-Based Solutions. It presents several Operations Research approaches used in the context of climate adaptation. The analysis provided in this paper focuses on various case studies, state-of-the-art on Nature-Based Solutions, Operations Research algorithms, dissertations, and other papers dealing with infrastructure placement approaches in the context of climate adaptation.









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Abbreviations
- AHP:
-
Analytic hierarchy process
- AMALGAM:
-
Approach a multiALgorithm, Genetically Adaptive Multi-objective
- AMS:
-
Adaptive metropolis search
- B&B:
-
Branch & bound
- BMP:
-
Best management practices
- FIFO:
-
First in first out
- GIS:
-
Geographic information system
- GSA:
-
Gravitational search algorithm
- IP:
-
Integer programming
- LHS:
-
Latin hypercube sampling
- LID:
-
Low-impact development
- LP:
-
Linear programming
- L-THIA-LID:
-
Long-term hydrologic impact assessment-low-impact development
- MILP:
-
Mixed-integer linear programming
- MOP:
-
Multi-objective problem
- MOPSO:
-
Multi-objective particle-swarm optimisation
- MOSA:
-
Multi-objective simulated annealing
- MOSS:
-
Multi-objective scatter search
- MOTS:
-
Multi-objective tabu search
- MUSIC:
-
Model for urban stormwater improvement conceptualisation
- NBS:
-
Nature-based solutions
- NOx:
-
Nitrate and nitrite
- NP:
-
Non polynomial
- NSGA-II:
-
Non-dominated sorting genetic algorithm II
- PSO:
-
Particle-swarm optimisation
- SA:
-
Simulated annealing
- SBPAT:
-
Structural BMP prioritisation and analysis tool
- SOP:
-
Single-objective problem
- SUSTAIN:
-
System for urban stormwater treatment and analysis integration
- SWAT:
-
Soil and water assessment
- SWMM:
-
Storm water management model
- TKN:
-
Total Kjeldahl nitrogen
- TP:
-
Total phosphorous
- TS:
-
Tabu search
- TSS:
-
Total suspended solids
- USDA:
-
United States Department of Agriculture
- US EPA:
-
United States Environmental Protection Agency
- WMOST:
-
Watershed management optimisation support tool
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Acknowledgements
This review was conducted as part of an internship. Thanks to the help and supervision of Dr Felicien Barhebwa Mushamuka and the company Mitigrate for allowing me to discover this new field of application of optimisation and Operations Research.
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FBM and LF designed the review’s objectives, and FBM selected the first set of papers. JC read and analysed this set of documents and completed it with more specialised documents. JC produced the figures and then the first version of the paper. FBM corrected this version and added suggestions.
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Appendices
Appendix A Case study examples
See Table 3.
Appendix B Article statistics

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Capgras, J., Barhebwa Mushamuka, F. & Feuilleaubois, L. Optimisation of selection and placement of nature-based solutions for climate adaptation: a literature review on the modelling and resolution approaches. Environ Syst Decis 43, 577–598 (2023). https://doi.org/10.1007/s10669-023-09933-y
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DOI: https://doi.org/10.1007/s10669-023-09933-y