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Challenges, tasks, and opportunities in modeling agent-based complex systems

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Listed:
  • An, Li
  • Grimm, Volker
  • Sullivan, Abigail
  • Turner II, B.L.
  • Malleson, Nicolas
  • Heppenstall, Alison
  • Vincenot, Christian
  • Robinson, Derek
  • Ye, Xinyue
  • Liu, Jianguo
  • Lindkvist, Emilie
  • Tang, Wenwu

Abstract

Humanity is facing many grand challenges at unprecedented rates, nearly everywhere, and at all levels. Yet virtually all these challenges can be traced back to the decision and behavior of autonomous agents that constitute the complex systems under such challenges. Agent-based modeling has been developed and employed to address such challenges for a few decades with great achievements and caveats. This article reviews the advances of ABM in social, ecological, and socio-ecological systems, compare ABM with other traditional, equation-based models, provide guidelines for ABM novice, modelers, and reviewers, and point out the challenges and impending tasks that need to be addressed for the ABM community. We further point out great opportunities arising from new forms of data, data science and artificial intelligence, showing that agent behavioral rules can be derived through data mining and machine learning. Towards the end, we call for a new science of Agent-based Complex Systems (ACS) that can pave an effective way to tackle the grand challenges.

Suggested Citation

  • An, Li & Grimm, Volker & Sullivan, Abigail & Turner II, B.L. & Malleson, Nicolas & Heppenstall, Alison & Vincenot, Christian & Robinson, Derek & Ye, Xinyue & Liu, Jianguo & Lindkvist, Emilie & Tang, W, 2021. "Challenges, tasks, and opportunities in modeling agent-based complex systems," Ecological Modelling, Elsevier, vol. 457(C).
    • Handle: RePEc:eee:ecomod:v:457:y:2021:i:c:s030438002100243x
    DOI: 10.1016/j.ecolmodel.2021.109685
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    as
    1. Levin, Simon & Xepapadeas, Tasos & Crépin, Anne-Sophie & Norberg, Jon & de Zeeuw, Aart & Folke, Carl & Hughes, Terry & Arrow, Kenneth & Barrett, Scott & Daily, Gretchen & Ehrlich, Paul & Kautsky, Nils, 2013. "Social-ecological systems as complex adaptive systems: modeling and policy implications," Environment and Development Economics, Cambridge University Press, vol. 18(2), pages 111-132, April.
    2. Caroline Schill & John M. Anderies & Therese Lindahl & Carl Folke & Stephen Polasky & Juan Camilo Cárdenas & Anne-Sophie Crépin & Marco A. Janssen & Jon Norberg & Maja Schlüter, 2019. "A more dynamic understanding of human behaviour for the Anthropocene," Nature Sustainability, Nature, vol. 2(12), pages 1075-1082, December.
    3. Leigh Tesfatsion, 2017. "Modeling economic systems as locally-constructive sequential games," Journal of Economic Methodology, Taylor & Francis Journals, vol. 24(4), pages 384-409, October.
    4. Tang, Wenwu & Bennett, David A., 2011. "Parallel agent-based modeling of spatial opinion diffusion accelerated using graphics processing units," Ecological Modelling, Elsevier, vol. 222(19), pages 3605-3615.
    5. John B. Davis & D. Wade Hands (ed.), 2011. "The Elgar Companion to Recent Economic Methodology," Books, Edward Elgar Publishing, number 13684.
    6. Volker Grimm & Alice S. A. Johnston & H.-H. Thulke & V. E. Forbes & P. Thorbek, 2020. "Three questions to ask before using model outputs for decision support," Nature Communications, Nature, vol. 11(1), pages 1-3, December.
    7. An, Li, 2012. "Modeling human decisions in coupled human and natural systems: Review of agent-based models," Ecological Modelling, Elsevier, vol. 229(C), pages 25-36.
    8. Grimm, Volker & Augusiak, Jacqueline & Focks, Andreas & Frank, Béatrice M. & Gabsi, Faten & Johnston, Alice S.A. & Liu, Chun & Martin, Benjamin T. & Meli, Mattia & Radchuk, Viktoriia & Thorbek, Pernil, 2014. "Towards better modelling and decision support: Documenting model development, testing, and analysis using TRACE," Ecological Modelling, Elsevier, vol. 280(C), pages 129-139.
    9. Polasky, Stephen & de Zeeuw, Aart & Wagener, Florian, 2011. "Optimal management with potential regime shifts," Journal of Environmental Economics and Management, Elsevier, vol. 62(2), pages 229-240, September.
    10. Ana Maria Ramanath & Nigel Gilbert, 2004. "The Design of Participatory Agent-Based Social Simulations," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 7(4), pages 1-1.
    11. Tesfatsion, Leigh, 2017. "Modeling Economic Systems as Locally-Constructive Sequential Games," ISU General Staff Papers 201703080800001022, Iowa State University, Department of Economics.
    12. Kalliopi Kravari & Nick Bassiliades, 2015. "A Survey of Agent Platforms," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 18(1), pages 1-11.
    13. Li An & Judy Mak & Shuang Yang & Rebecca Lewison & Douglas A. Stow & Hsiang Ling Chen & Weihua Xu & Lei Shi & Yu Hsin Tsai, 2020. "Cascading Impacts of Payments for Ecosystem Services in Complex Human-Environment Systems," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 23(1), pages 1-5.
    14. Wenwu Tang & Meijuan Jia, 2014. "Global Sensitivity Analysis of a Large Agent-Based Model of Spatial Opinion Exchange: A Heterogeneous Multi-GPU Acceleration Approach," Annals of the American Association of Geographers, Taylor & Francis Journals, vol. 104(3), pages 485-509, May.
    15. Tesfatsion, Leigh, 2017. "Modeling Economic Systems as Locally-Constructive Sequential Games," ISU General Staff Papers 201704300700001022, Iowa State University, Department of Economics.
    16. Volker Grimm & Steven F. Railsback & Christian E. Vincenot & Uta Berger & Cara Gallagher & Donald L. DeAngelis & Bruce Edmonds & Jiaqi Ge & Jarl Giske & Jürgen Groeneveld & Alice S.A. Johnston & Alex, 2020. "The ODD Protocol for Describing Agent-Based and Other Simulation Models: A Second Update to Improve Clarity, Replication, and Structural Realism," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 23(2), pages 1-7.
    17. Leigh Tesfatsion & Kenneth L. Judd (ed.), 2006. "Handbook of Computational Economics," Handbook of Computational Economics, Elsevier, edition 1, volume 2, number 2.
    18. Lu Yang & Nigel Gilbert, 2008. "Getting Away From Numbers: Using Qualitative Observation For Agent-Based Modeling," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 11(02), pages 175-185.
    19. Steven Manson & Li An & Keith C. Clarke & Alison Heppenstall & Jennifer Koch & Brittany Krzyzanowski & Fraser Morgan & David O'Sullivan & Bryan C Runck & Eric Shook & Leigh Tesfatsion, 2020. "Methodological Issues of Spatial Agent-Based Models," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 23(1), pages 1-3.
    20. Denise Pumain & Lena Sanders, 2013. "Theoretical Principles in Interurban Simulation Models: A Comparison," Environment and Planning A, , vol. 45(9), pages 2243-2260, September.
    21. Augusiak, Jacqueline & Van den Brink, Paul J. & Grimm, Volker, 2014. "Merging validation and evaluation of ecological models to ‘evaludation’: A review of terminology and a practical approach," Ecological Modelling, Elsevier, vol. 280(C), pages 117-128.
    22. Tesfatsion, Leigh, 2017. "Modeling Economic Systems as Locally-Constructive Sequential Games," ISU General Staff Papers 201703280700001022, Iowa State University, Department of Economics.
    23. Amineh Ghorbani & Gerard Dijkema & Noortje Schrauwen, 2015. "Structuring Qualitative Data for Agent-Based Modelling," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 18(1), pages 1-2.
    24. Paul L. Borrill & Leigh Tesfatsion, 2011. "Agent-based Modeling: The Right Mathematics for the Social Sciences?," Chapters, in: John B. Davis & D. Wade Hands (ed.), The Elgar Companion to Recent Economic Methodology, chapter 11, Edward Elgar Publishing.
    25. Emilie Lindkvist & Xavier Basurto & Maja Schlüter, 2017. "Micro-level explanations for emergent patterns of self-governance arrangements in small-scale fisheries—A modeling approach," PLOS ONE, Public Library of Science, vol. 12(4), pages 1-23, April.
    26. James M. Murphy & David M. H. Sexton & David N. Barnett & Gareth S. Jones & Mark J. Webb & Matthew Collins & David A. Stainforth, 2004. "Quantification of modelling uncertainties in a large ensemble of climate change simulations," Nature, Nature, vol. 430(7001), pages 768-772, August.
    27. Grimm, Volker & Berger, Uta, 2016. "Robustness analysis: Deconstructing computational models for ecological theory and applications," Ecological Modelling, Elsevier, vol. 326(C), pages 162-167.
    28. Nick Malleson & Kevin Minors & Le-Minh Kieu & Jonathan A. Ward & Andrew West & Alison Heppenstall, 2020. "Simulating Crowds in Real Time with Agent-Based Modelling and a Particle Filter," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 23(3), pages 1-3.
    29. Michael Batty, 2008. "Fifty Years of Urban Modeling: Macro-Statics to Micro-Dynamics," Springer Books, in: Sergio Albeverio & Denise Andrey & Paolo Giordano & Alberto Vancheri (ed.), The Dynamics of Complex Urban Systems, pages 1-20, Springer.
    30. J. Gareth Polhill & Dawn C. Parker & Daniel Brown & Volker Grimm, 2008. "Using the ODD Protocol for Describing Three Agent-Based Social Simulation Models of Land-Use Change," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 11(2), pages 1-3.
    31. Vincenot, Christian Ernest & Giannino, Francesco & Rietkerk, Max & Moriya, Kazuyuki & Mazzoleni, Stefano, 2011. "Theoretical considerations on the combined use of System Dynamics and individual-based modeling in ecology," Ecological Modelling, Elsevier, vol. 222(1), pages 210-218.
    32. Jule Thober & Birgit Müller & Jürgen Groeneveld & Volker Grimm, 2017. "Agent-Based Modelling of Social-Ecological Systems: Achievements, Challenges, and a Way Forward," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 20(2), pages 1-8.
    33. Chimmula, Vinay Kumar Reddy & Zhang, Lei, 2020. "Time series forecasting of COVID-19 transmission in Canada using LSTM networks," Chaos, Solitons & Fractals, Elsevier, vol. 135(C).
    34. Lindkvist, Emilie & Norberg, Jon, 2014. "Modeling experiential learning: The challenges posed by threshold dynamics for sustainable renewable resource management," Ecological Economics, Elsevier, vol. 104(C), pages 107-118.
    35. Li An & Ming-Hsiang Tsou & Stephen E. S. Crook & Yongwan Chun & Brian Spitzberg & J. Mark Gawron & Dipak K. Gupta, 2015. "Space–Time Analysis: Concepts, Quantitative Methods, and Future Directions," Annals of the American Association of Geographers, Taylor & Francis Journals, vol. 105(5), pages 891-914, September.
    36. Grimm, Volker & Berger, Uta & DeAngelis, Donald L. & Polhill, J. Gary & Giske, Jarl & Railsback, Steven F., 2010. "The ODD protocol: A review and first update," Ecological Modelling, Elsevier, vol. 221(23), pages 2760-2768.
    37. Axelrod, Robert & Tesfatsion, Leigh, 2006. "A Guide for Newcomers to Agent-Based Modeling in the Social Sciences," Staff General Research Papers Archive 12515, Iowa State University, Department of Economics.
    38. Li An & Marc Linderman & Jiaguo Qi & Ashton Shortridge & Jianguo Liu, 2005. "Exploring Complexity in a Human–Environment System: An Agent-Based Spatial Model for Multidisciplinary and Multiscale Integration," Annals of the American Association of Geographers, Taylor & Francis Journals, vol. 95(1), pages 54-79, March.
    39. Schlüter, Maja & Baeza, Andres & Dressler, Gunnar & Frank, Karin & Groeneveld, Jürgen & Jager, Wander & Janssen, Marco A. & McAllister, Ryan R.J. & Müller, Birgit & Orach, Kirill & Schwarz, Nina & Wij, 2017. "A framework for mapping and comparing behavioural theories in models of social-ecological systems," Ecological Economics, Elsevier, vol. 131(C), pages 21-35.
    40. Andrea Banino & Caswell Barry & Benigno Uria & Charles Blundell & Timothy Lillicrap & Piotr Mirowski & Alexander Pritzel & Martin J. Chadwick & Thomas Degris & Joseph Modayil & Greg Wayne & Hubert Soy, 2018. "Vector-based navigation using grid-like representations in artificial agents," Nature, Nature, vol. 557(7705), pages 429-433, May.
    41. Eliassen, Sigrunn & Andersen, Bjørn Snorre & Jørgensen, Christian & Giske, Jarl, 2016. "From sensing to emergent adaptations: Modelling the proximate architecture for decision-making," Ecological Modelling, Elsevier, vol. 326(C), pages 90-100.
    42. Steven F. Railsback & Daniel Ayllón & Uta Berger & Volker Grimm & Steven Lytinen & Colin Sheppard & Jan Thiele, 2017. "Improving Execution Speed of Models Implemented in NetLogo," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 20(1), pages 1-3.
    43. George P Malanson & Yu Zeng & Stephen J Walsh, 2006. "Complexity at Advancing Ecotones and Frontiers," Environment and Planning A, , vol. 38(4), pages 619-632, April.
    44. Li An & Alex Zvoleff & Jianguo Liu & William Axinn, 2014. "Agent-Based Modeling in Coupled Human and Natural Systems (CHANS): Lessons from a Comparative Analysis," Annals of the American Association of Geographers, Taylor & Francis Journals, vol. 104(4), pages 723-745, July.
    45. David O’Sullivan & Steven M. Manson, 2015. "Do Physicists Have Geography Envy? And What Can Geographers Learn from It?," Annals of the American Association of Geographers, Taylor & Francis Journals, vol. 105(4), pages 704-722, July.
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