Theoretical Study on the Complexity-Robustness Relation of Evolving Open Systems

2021 Fiscal Year Final Research Report

• Project/Area Number: 18K03449
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Review Section: Basic Section 13010:Mathematical physics and fundamental theory of condensed matter physics-related
• Research Institution: The University of Tokyo
• Principal Investigator: SHIMADA Takashi 東京大学, 大学院工学系研究科(工学部), 准教授 (90431791)
• Project Period (FY): 2018-04-01 – 2022-03-31
• Keywords: 頑健性、安定性 / 多様性 / 生態系 / 土壌微生物 / 社会系 / 感染接触項 / 非平衡相転移

Outline of Final Research Achievements

This project aimed at further developing our theoretical study on the robustness of large and open (i.e. the constituting elements may be added and removed) systems, and applying it to real problems. By introducing dormancy process before the extinction/removal process to the previous basic model, we obtained better theoretical bridging between the minimal modeling and complex models and systems. We also obtained better understanding of the nature of real large and open systems from data-analysis-based theoretical studies on soil-microbiome, crowd and epidemic spread, and edit activity on Wikipedia.

Free Research Field

統計物理学

Academic Significance and Societal Importance of the Research Achievements

現実の大規模な系の多く（狭義の生態系のみならず生体系、社会・経済システム、工学システム等）は、構成要素の追加と消滅のプロセスにさらされている「開放進化系」であるので、その頑健性についての普遍な性質についての理解を深める事ができたことは意義深い。実際、モデリングにおける理論面での進展に加え、人-人の接触項や Wikipedia での編集者-記事関係などの個別の系の解析における結果は、それぞれの系へのより良い介入の仕方を与えるものともなった。