Mathematical study of coupled human-environmental system for ecosystem management

我们的目标是通过使用理论模型方法，将社会科学纳入可持续自然资源管理。为此，我们计划围绕不同的主题：(1)控制过度旅游以保护生物多样性(2)非法采伐和腐败，(3)加强人类合作以保护宝贵的公共资源的理论模型。为此，我们在韩国济州岛实施了游客对过度旅游和生物多样性保护的识别，并构建了将其纳入其中的理论模型。提出了在旅游目的地仍能获得经济效益的前提下，保护生物多样性的策略。此外，为了打击腐败和防止非法采伐，我们可以建立一个更一般的理论模型来涵盖主题，明确遏制腐败和非法采伐的条件，也可以指定附近腐败和非法采伐持续存在的现象。最后，我们得到了防止可能导致生物多样性和梯田文化价值丧失的土地放弃的模型。出版：1)Joung-Hun Lee，Y Iwaa，U Dieckmann，K Sigmund，2019。社会演变导致了持续的腐败。国家科学院学报，116(27)13276-132812)李俊勋，R Yamaguchi，H Yokomizo，M.Nakamaru，2020年，稻田价值的保护：用进化博弈论的方法调查如何防止农民放弃农田，理论生物学杂志，第495卷(https://doi.org/10.1016/j.jtbi.2020.110247)

We aim to incorporate social sciences for sustainable natural resource management by using theoretical modelling approach. We plan to focus on different themes for the purpose; (1) control overtourism to protect biodiversity (2) illegal logging and corruption, (3) theoretical model to enhance human cooperation to preserve valuable common resources.For this purpose, we implemented tourists recognition over overtourism and biodiversity conservation visiting Jeju island in Korea and also built the theoretical model to incorporate that. We suggested the strategies to protect biodiversity under which the tourism destination still gain economic benefit. Also, to fight against corruption and to prevent illegal logging, we could build a more general theoretical model to cover the theme to specify the conditions to suppress the corruption and illegal logging, also could specify the phenomenon where corruption and illegal logging persistently exist nearby. Finally, we gain the model to prevent land abandonment which may cause loss of biodiversity and the cultural value of terraced rice field.Publications:1) Joung-Hun Lee, Y Iwasa, U Dieckmann, K Sigmund, 2019. Social evolution leads to persistent corruption. Proceedings of the National Academy of Sciences, 116(27) 13276-132812) Joung-Hun Lee, R Yamaguchi, H Yokomizo, M. Nakamaru, 2020, Preservation of the value of rice paddy fields: investigating how to prevent farmers from abandoning the fields by means of evolutionary game theory, Journal of Theoretical Biology, Vol. 495 (https://doi.org/10.1016/j.jtbi.2020.110247)