Mathematical study of coupled human-environmental system for ecosystem management

我们的目标是通过使用理论建模方法将社会科学纳入可持续的自然资源管理。我们计划针对不同的主题；(1)控制过度旅游，保护生物多样性；(2)非法采伐和腐败；(3)建立理论模型，加强人类合作，保护宝贵的共同资源。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，并建立了理论模型。提出了保护生物多样性的策略，使旅游地获得经济效益。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这一主题，以明确打击腐败和非法采伐的条件，也可以明确腐败和非法采伐持续存在的现象。最后，我们得到了防止土地撂荒的模型，因为撂荒可能导致梯田生物多样性和文化价值的丧失。1)李永勋，李永祥，李永祥，李永祥，2009。社会进化导致了持续的腐败。李廷勋，R Yamaguchi, H Yokomizo， M. Nakamaru, 2020，稻田价值的保护：利用进化博弈论研究如何防止农民放弃稻田，理论生物学杂志，Vol. 495 （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)