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DOI 10.34229/KCA2522-9664.26.3.6
UDC 330.115

A. Zagorodny
National Academy of Sciences of Ukraine, Kyiv, Ukraine; Bogolyubov Institute for Theoretical Physics (BITP)
of the National Academy of Sciences (NAS) of Ukraine, Kyiv, Ukraine; State Institution “Center for Evaluation of Activities of Research Institutions and Scientific Support of Regional Development of Ukraine, NAS of Ukraine,” Kyiv, Ukraine,Zagorodny@nas.gov.ua

V. Bogdanov
National Academy of Sciences of Ukraine, Kyiv, Ukraine; State Institution “Center
for Evaluation of Activities of Research Institutions and Scientific Support of Regional Development
of Ukraine, NAS of Ukraine,” Kyiv, Ukraine; S.P. Timoshenko Institute of Mechanics,
Kyiv, Ukraine,Bogdanov@nas.gov.ua

H.J. Schellnhuber
International Institute for Applied Systems Analysis, Laxenburg, Austria,
schellnhuber@iiasa.ac.at

T. Ermolieva
International Institute for Applied Systems Analysis, Laxenburg, Austria,
ermol@iiasa.ac.at

P. Havlik
International Institute for Applied Systems Analysis, Laxenburg, Austria,
havlikpt@iiasa.ac.at

N. Komendantova
International Institute for Applied Systems Analysis, Laxenburg, Austria,
komendan@iiasa.ac.at


ROBUST DOWNSCALING AND MODELS’ LINKAGE PROCEDURES FOR INTEGRATED
MODELING AND MANAGEMENT OF SYSTEMIC RISKS, RESILIENCE,
AND FOOD-ENERGY-WATER-ENVIRONMENTAL NEXUS SECURITY

Abstract. The paper makes a short overview of advanced systems analysis methods, models and modeling tools being developed at IIASA (International Institute for Applied Systems Analysis, Laxenburg, Austria) and within NASU (National Academy of Sciences, Ukraine) and IIASA joint project “Integrated modeling for robust management of food–energy– water–social–environmental nexus security and sustainable development”. Emerging systemic risks in interdependent Food–Energy–Water–Environment (FEWE) systems can be managed through a two-stage coherent decision-making framework: ex-ante (anticipatory) and ex-post (adaptive), using integrated models to balance proactive risk reduction (e.g., resilient infrastructure, diversified resources) with reactive crisis response (e.g., emergency planning, technological and financial backstops) for increased resilience, as highlighted by IIASA and NASU joint research. This approach, using two-stage stochastic optimization, aims for robust management by keeping options open while preparing for inevitable uncertainties in these complex, interconnected systems, notes researchers in papers like those from Springer Nature book on FEWE nexus security [1-2]. Truly integrated modeling often requires rescaling (down- and up-scaling) of models’ data and results. The mismatch of scales creates a major source of uncertainties, which calls for the identification of proper indicators, new measures of uncertainties and risks, and goodness criteria for disaggregation and aggregation. To represent information in locations, the procedures rely on an appropriate optimization principle, e.g., generalized cross-entropy maximization, and combine the available samples of real observations in the locations with other “prior” hard and soft data (expert opinion, scenarios), pseudo-sampling models, evidences on the related variables that exist in the form of equations and constraints. A key issue is treatment of uncertainties in priors and parameters of available constraints. Approaches to down-scaling in the presence of uncertain priors are outlined. The approaches are being further developed at IIASA and the NASU-IIASA joint project. Distributed models’ optimization and linkage methods enable to establish relationships and dialogues between separate models of FEWE systems for the analysis of coordinated solutions without requiring to share or reveal systems-specific information, i.e., under asymmetric information (ASI). The problem is illustrated with an example of linking models of individual producers emitting GHGs (emitting entities or parties) into a prototype model of an emission trading market when information about parties may not be available and joint safety constraints on emissions (when individual parties’ emissions are uncertain) have to be fulfilled. The outlined methods and tools pursue the goal to develop and implement advanced systems analysis and integrated modeling approaches allowing coherent planning of FEWE systems under joint constraints, asymmetric information and uncertainties about the sectoral models. Explicit modeling of linkages allows evaluation and treatment of such risks under standard independent planning of sectors. Therefore, the models and methods aim for systems analysis of FEWE nexus security under exogenous risks and risks affected (intentionally and unintentionally) by decisions of various agents. The methods and tools involve the concept of robustness and robust solutions, which are, in a sense, optimal for any scenario of potential uncertainties.

Keywords: FEWE nexus security, endogenous systemic risks, inherent anticipating ex-ante and operational ex-post decisions, two-stage STO, safety constraints, robust down- and up-scaling, uncertain prior information, distributed models linkage, asymmetric information, nonsmooth optimization, stochastic quasigradient procedures, integrated modeling and planning of distributed systems.


full text

REFERENCES

  • 1. Zagorodny A., Bogdanov V., Zaporozhets A., Ermolieva T. (Eds.) Nexus of sustainability: Understanding FEWSE systems II. SSDC. 2026. Vol 627. Cham: Springer, 2025. XVII, 656 p. https://doi.org/10.1007/978-3-032-03616-2.
  • 2. Zagorodny A.G., Bogdanov V.L., Ermolieva T., Komendantova N., Havlik P. Integrated solutions to food-energy-water-environmental NEXUS security modelling and management: robust downscaling and models’ linkage procedures. In: Zagorodny A.G., Bogdanov V.L., Zaporogetz A.O., Ermolieva T.Y. (Eds.). Nexus of Sustainability: Understanding of FEWSE Systems II. 2026. P. 1–37. URL: https://link.springer.com/book/9783032036155.
  • 3. Zagorodny A., Bogdanov V., Ermolieva T., Komendantova N. Modeling for managing food-energy-water-social-environmental — NEXUS SECURITY: Novel systems’ analysis approaches. In: Nexus of Sustainability. Understanding of FEWSE Systems І. Zagorodny A., Bogdanov V., Zaporozhets A. (Eds.). SSDC. 2024. Vol 559. Cham: Springer, 2024. P. 1–32. https://doi.org/10.1007/978-3-031-66764-0_1.
  • 4. Zagorodny A.G., Ermoliev Y., Bogdanov V.L., Kostyuchenko Y.V., Ermolieva T. Integrated robust management of food-energy-water-land use nexus for sustainable development. In: Integrated Modeling and Management of Food-Energy-Water NEXUS for Sustainable Development. Zagorodny A.G., Ermoliev Yu.M., Bogdanov V.L., Ermolieva T. (Eds.). Kyiv: Committee for Systems Analysis at Presidium of NASU — NMO of Ukraine in IIASA, 2020. P. 237–249. URL: https://pure.iiasa.ac.at/16715.
  • 5. Zagorodny A.G., Ermoliev Yu.M., Bogdanov V.L., Ermolieva T. (Eds.). Integrated modeling and management of Food-Energy-Water NEXUS for sustainable development. Kyiv: Committee for Systems Analysis at Presidium of NASU — NMO of Ukraine at IIASA, 2020. 446 p. URL: https://pure.iiasa.ac.at/16674.
  • 6. Zagorodny A.G., Ermoliev Y.M., Bogdanov V.L. (Eds.). Integrated modeling and management of Food-Energy-Water NEXUS for sustainable development. Kyiv, Ukraine: National Academy of Sciences of Ukraine, 2014.
  • 7. Zagorodny A.G., Ermoliev Y. (Eds.). Integrated modeling of food, energy and water security management for sustainable social, economic and environmental developments. Kyiv: National Academy of Sciences of Ukraine, 2013. 354 p. URL: https://pure.iiasa.ac.at/10607.
  • 8. Ermoliev Y., Zagorodny A.G., Bogdanov V.L., et al. Linking distributed optimization models for food, water, and energy security nexus management. Sustainability. 2022. Vol. 14, N 3. Article number 1255. https://doi.org/10.3390/su14031255.
  • 9. Ermoliev Y., Zagorodny A.G., Bogdanov V.L., et al. Robust food–energy–water–environmental security management: Stochastic quasigradient procedure for linkage of distributed optimization models under asymmetric information and uncertainty. Cybernetics and Systems Analysis. 2022. Vol. 58, N 1. P. 45–57. https://doi.org/10.1007/s10559-022-00434-5.
  • 10. Ermolieva T., Ermoliev Y., Zagorodny A., et al. Artificial intelligence, machine learning, and intelligent decision support systems: Iterative “learning” SQG-based procedures for distributed models’ linkage. Artificial Intelligence Journal. 2022. N 27 (2). P. 92–97. https://doi.org/10.15407/jai2022.02.092.
  • 11. Ermolieva T., Havlik P., Frank S., et al. A risk-informed decision-making framework for climate change adaptation through robust land use and irrigation planning. Sustainability. 2022. Vol. 14, Iss. 3. Article number 1430. https://doi.org/10.3390/su14031430.
  • 12. Ermolieva T., Havlik P., Ermoliev Y., Khabarov N., Obersteiner M. Robust management of systemic risks and food-water-energy-environmental security: Two-stage strategic-adaptive GLOBIOM model. Sustainability. 2021. Vol. 13, Iss. 2. Article number 857. https://doi.org/10.3390/su13020857.
  • 13. Ermolieva T., HavlЗk P., Ermoliev Y., et al. Integrated management of land use systems under systemic risks and security targets: a stochastic Global Biosphere Management Model. Journal of Agricultural Economics. 2016. Vol. 67, Iss. 3. P. 584–601. https://doi.org/10.1111/1477-9552.12173.
  • 14. Ermolieva T., Ermoliev Y., Komendantova N., et al. Linking catastrophe modeling and stochastic optimization techniques for integrated catastrophe risk analysis and management. In: Modern optimization methods for decision making under risk and uncertainty. Gaivoronski A., Knopov P., Zaslavskyi V. (Eds.). Boca Raton: Taylor & Francis, 2023. P. 15–50. https://doi.org/10.1201/9781003260196-2.
  • 15. Ermoliev Y., Komendantova N., Ermolieva T. Energy production and storage investments and operation planning involving variable renewable energy sources. A two-stage stochastic optimization model with rolling time horizon and random stopping time. In: Modern Optimization Methods for Decision Making Under Risk and Uncertainty. Gaivoronski A., Knopov P., Zaslavskyi V. (Eds.). Taylor & Francis, 2023. P. 15–50. https://doi.org/10.1201/9781003260196-13.
  • 16. Rome Declaration on World Food Security. World Food Summit Plan of Action. World Food Summit (13–17 November 1996, Rome, Italy). URL: https://www.fao.org/4/w3613e/w3613e00.htm.
  • 17. FAO. The state of food insecurity in the world. Report of Food and Agriculture Organization of the United Nations, Rome. 2009. URL: https://openknowledge.fao.org/items/fdc944c1-1c6e-426a-8f8d-27847d779b4c.
  • 18. Grey D., Sadoff C.W. Sink or swim? Water security for growth and development. Water Policy. Vol. 9, Iss. 6. P. 545–571. https://doi.org/10.2166/wp.2007.021.
  • 19. The secretary-general’s advisory group on energy and climate change (AGECC). Summary Report and Recommendations. New York, 28 April 2010. 26 p. URL: www.undp.org/sites/g/ files/zskgke326/files/publications/AGECCsummaryreport.pdf.
  • 20. Ermoliev Y., von Winterfeldt D. Systemic risk and security management. In: Managing Safety of Heterogeneous Systems. Ermoliev Y., Makowski M., Marti K. (Eds.). LNE. Vol. 658. Berlin; Heidelberg: Springer, 2012. P. 19–49. URL: https://link.springer.com/chapter/10.1007/978-3-642-22884-1_2.
  • 21. Carter N.T. Energy’s water demand: Trends, vulnerabilities, and management. CRS (Congressional Research Service) Report for Congress, 7-5700, R41507. Washington D.C.: Library of Congress. Congressional Research Service, 2010. 36 p. URL: https://digital.library.unt.edu/ark:/67531/metadc31387/.
  • 22. Ahmadi E., McLellan B., Ogata S., Mohammadi-Ivatloo B., Tezuka T. An integrated planning framework for sustainable water and energy supply. Sustainability. 2020. Vol. 12, Iss. 10. Article number 4295. https://doi.org/10.3390/su12104295.
  • 23. Baffes J., Dennis A.C.K. Long term drivers of food prices. Policy research working paper. N WPS 6455. Washington, DC: World Bank, 2013. 37 p. URL: https://documents.worldbank.org/en/publication/documents-reports/documentdetail/832971468150565490.
  • 24. Taghizadeh-Hesary F., Rasoulinezhad E., Yoshino N. Energy and food security: Linkages through price volatility. Energy Policy. 2019. Vol. 128. P. 796–806. https://doi.org/10.1016/j.enpol.2018.12.043.
  • 25. van Eyden R., Difeto M., Gupta R., Wohar M.E. Oil price volatility and economic growth: Evidence from advanced economies using more than a century’s data. Appl. Energy. 2019. Vol. 233–234. P. 612–621. https://doi.org/10.1016/j.apenergy.2018.10.049.
  • 26. Grafton R.Q., McLindin M., Hussey K., et al. Responding to global challenges in food, energy, environment and water: Risks and options assessment for decision-making. Asia & the Pacific Policy Studies. 2016. Vol. 3, Iss. 2. P. 275–299. https://doi.org/10.1002/app5.128.
  • 27. Ermolieva T., Havlik P., Mosnier A., et al. Dynamic linkage of global and local land use models using robust cross-entropy based downscaling procedure under uncertainties in priors. In: Integrated Modeling and Management of Food-Energy-Water NEXUS for Sustainable Development. Zagorodny A.G., Ermoliev Yu.M., Bogdanov V.L., Ermolieva T. (Eds.). Kyiv: Committee for Systems Analysis at Presidium of NAS of Ukraine — NMO of Ukraine in IIASA, 2020. P. 179–195. URL: https://pure.iiasa.ac.at/16718.
  • 28. Ermolieva T., Ermoliev Y., Havlik P., et al. Dynamic merge of the global and local models for sustainable land use planning with regard for global projections from GLOBIOM and local technical-economic feasibility and resource constraints. Cybernetics and Systems Analysis. 2017. Vol. 53, N 2. P. 176–185. https://doi.org/10.1007/s10559-017-9917-7.
  • 29. Ermoliev Y., Ermolieva T., Havlik P., et al. Robust downscaling approaches to disaggregation of data and projections under uncertainties: Case of land use and land use change systems. Cybernetics and Systems analysis. 2017. Vol. 53, N 1. P. 26–33. https://doi.org/10.1007/s10559-017-9904-z.
  • 30. Ermoliev Y. Two-stage stochastic programming: Quasigradient method. In: Encyclopedia of Optimization. Floudas C., Pardalos P. (Eds.). Boston, MA: Springer, 2008. P. 3955–3959. https://doi.org/10.1007/978-0-387-74759-0_690.
  • 31. Ermoliev Y., Wets R.J.-B. Numerical techniques for stochastic optimization. Heidelberg: Springer Verlag, 1988. 571 p.
  • 32. Ermoliev Y., Ermolieva T., Jonas M., et al. Integrated model for robust emission trading under uncertainties: Cost-effectiveness and environmental safety. Technological Forecasting and Social Change. 2015. Vol. 98. P. 234–244. https://doi.org/10.1016/j.techfore.2015.01.003.
  • 33. Ermoliev Y., Michalevich M., Uteuliev N.U. Economic modeling of international water use (The case of the Aral sea basin). Cybernеtics and Systems Analysis. 1994. Vol. 30, N 4. P. 523–527. https://doi.org/10.1007/BF02366562.
  • 34. Ermolieva T., Filatova T., Ermoliev Y., et al. Flood catastrophe model for designing optimal flood insurance program: Estimating location-specific premiums in the Netherlands. Risk Analysis. 2016. Vol. 37, Iss. 1. P. 82–98. https://doi.org/10.1111/risa.12589.
  • 35. Ermoliev Y., Ermolieva T., Fischer G., et al. Discounting, catastrophic risks management and vulnerability modeling. Mathematics and Computers in Simulation. 2008. Vol. 79, Iss. 4. P. 917–924. https://doi.org/10.1016/j.matcom.2008.02.004.
  • 36. Ermolieva T., Ermoliev Y., Fischer G., Galambos I. The role of financial instruments in integrated catastrophic flood management. Multinational Finance Journal. 2003. Vol. 7, N 3–4. P. 207–230, URL: https://ssrn.com/abstract=2627554.
  • 37. Amendola A., Ermolieva T., Linnerooth-Bayer J., Mechler R. (Eds.). Integrated catastrophe risk modeling: Supporting policy processes. Dordrecht: Springer, 2013. X, 290 p. URL: http://link.springer.com/book/10.1007/978-94-007-2226-2.
  • 38. Borodina O., Borodina E., Ermolieva T., et al. Sustainable agriculture, food security, and socio-economic risks in Ukraine. In: Managing safety of heterogeneous systems. Lecture Notes in Economics and Mathematical Systems. Ermoliev Y., Makowski M., Marti K. (Eds.). Berlin; Heidelberg: Springer, 2012. LNE. Vol. 658. P. 169–185, https://doi.org/10.1007/978-3-642-22884-1_8.
  • 39. Borodina O., Kyryziuk S., Fraier O., et al. Mathematical modeling of agricultural crop diversification in Ukraine: Scientific approaches and empirical results. Cybernetics and Systems Analysis. 2020. Vol. 56, N 2. P. 213–222. https://doi.org/10.1007/s10559-020-00237-6.
  • 40. Fischer G., Ermolieva T., Ermoliev Y., Sun L. Risk-adjusted approaches for planning sustainable agricultural development. Stochastic Environmental Research and Risk Assessment. 2009. Vol. 23, N 4. P. 441-450. https://doi.org/10.1007/s00477-008-0231-9.
  • 41. Ermoliev Y., Komendantova N., Ermolieva T. Strategic DSS for robust energy production and storage investments and operation planning involving variable renewable energy sources: A two-stage stochastic optimization models with stopping time and rolling horizon. Proc. Mathematical Modeling, Optimization and Information Technologies (International Scientific Conference) ( Moldova, 2021). P. 57–59. URL: https://pure.iiasa.ac.at/18428/.
  • 42. Cano E.L., Moguerza J.M., Ermolieva T., Ermoliev Y. Energy efficiency and risk management in public buildings: Strategic model for robust planning. Computational Management Science. 2014. Vol. 11, N 1–2. P. 25–44. URL: http://hdl.handle.net/10.1007/s10287-013-0177-3.
  • 43. Ortiz-Partida J.P., Kahil T., Ermolieva T., et al. A two-stage stochastic optimization for robust operation of multipurpose reservoirs. Water Resources Management. 2019. Vol. 33, N 11. P. 3815–3830. https://doi.org/10.1007/s11269-019-02337-1.
  • 44. Ermoliev Y., Ermolieva T., Kahil T., et al. Stochastic optimization models for risk-based reservoir management. Cybernetics and Systems Analysis. 2019. Vol. 55, N 1. P. 55–64. https://doi.org/10.1007/s10559-019-00112-z.
  • 45. O’Neill, B., Ermoliev, Y., Ermolieva, T. Endogenous risks and learning in climate change decision analysis. In: Coping with Uncertainty. Berlin; Heidelberg: Springer, 2006. LNE. Vol. 581. P. 271–284. https://doi.org/10.1007/3-540-35262-7_16.
  • 46. Ermolieva T., Obersteiner M. Global change, catastrophic risks and sustained economic growth: Model-based analysis. IIASA Interim Report. IIASA, Laxenburg, Austria: IR-05-014. 2005. URL: https://pure.iiasa.ac.at/7821.
  • 47. Ermolieva T., Ermoliev Y., Havlik P., et al. Connections between robust statistical estimation, robust decision making with two-stage stochastic optimization, and robust machine learning problems. Cybernetics and Systems Analysis. 2023. Vol. 59, N 3. P. 33–47. https://doi.org/10.1007/s10559-023-00573-3.
  • 48. Ermoliev Y., Hordijk L. Facets of robust decisions. In: Coping with Uncertainty: Modeling and Policy Issue. Marti K., Ermoliev Y., Makowski M., Pug G. (Eds.). LNE. Vol. 581. Berlin: Springer-Verlag, 2006. P. 3–28. URL: https://pure.iiasa.ac.at/7958.
  • 49. Harker P.T. Generalized Nash games and quasi-variational inequalities. European Journal of Operational Research. 1991. Vol. 54, Iss. 1. P. 81–94. https://doi.org/10.1016/0377-2217(91)90325-P.
  • 50. Bhringer C., Rutherford T.F. Integrated assessment of energy policies: Decomposing top-down and bottom-up. Journal of Economic Dynamics and Control. 2009. Vol. 33, Iss. 9. P. 1648–1661, https://doi.org/10.1016/j.jedc.2008.12.007.
  • 51. Alemany M.M.E., Esteso A., Ortiz A., del Pino M. Centralized and distributed optimization models for the multi-farmer crop planning problem under uncertainty: Application to a fresh tomato Argentinean supply chain case study. Computers and Industrial Engineering. 2021. Vol. 153. Article number 107048. https://doi.org/10.1016/j.cie.2020.107048.
  • 52. Yang T., Yi X., Wu J., et al. A survey of distributed optimization. Annual Reviews in Control. 2019. Vol. 47. P. 278–305. https://doi.org/10.1016/j.arcontrol.2019.05.006.
  • 53. Prakash R., Nygard K.E. Distributed linear programming models in a smart grid. Cham: Springer, 2017. XXV, 213 p. https://doi.org/10.1007/978-3-319-52617-1.
  • 54. Liang S., WangL., Yin, G. Distributed smooth convex optimization with coupled constraints. IEEE Transactions on Automatic Control. 2020. Vol. 65, N 1. P. 347–353. https://doi.org/10.1109/TAC.2019.2912494.
  • 55. Hughes J., Chen J. Fair and distributed dynamic optimal transport for resource allocation over networks. arXiv:2103.16618v1 [math.OC] 30 Mar 2021. https://doi.org/10.48550/arXiv.2103.16618.



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