Theoretical Study of the Evolution of Space Use Strategy of Life History

本文旨在了解生物进化多样化的数学原理，包括在空间和时间异质性环境中的生命史、形态和行为。[1]复杂生命周期的演化。许多海洋无脊椎动物有浮游幼虫阶段和底栖生活在岩石潮间带。大型寄生虫有多种寄主来完成它们的生命周期。建立了复杂生命周期进化优势的数学模型（EER2006）。繁殖中的归巢现象（成熟后返回出生地）在动物中被广泛观察到。我将其建模为当繁殖成功的栖息地不同而成功的差异无法观察到时归巢率的进化。为了研究陆生植物的空间策略，我们对植物的发育和形态发生过程进行了建模。特别是种子植物生命脉的形成。植物的一种激素——生长素及其载体蛋白引起自组织过程，导致生命静脉系统的自发形成。我们将其建模为晶格模型，并成功地找到了产生分支脉系统的模型。然而，基于管化的模型是不可能产生网状静脉系统的。为此，我们考虑了一个额外的过程，并成功地形成了网状脉。[4]在生态系统管理中，我们面临着一个成功的管理需要许多人的合作的情况，我们发展了生态系统过程和人的决策过程相结合的动态模型。具体来说，我们开发了一个水质控制和森林破坏的模型。[5]将肿瘤发生和耐药病毒出现的过程模拟为宿主体内的进化过程。

This paper aims to understand the mathematical principles of the evolutionary diversification of organisms with respect to life hisoty, morphology and behavior in the environment heterogeneous both in space and time.[1]Evolution of complex life cycle. Many marine invertebrate has a planktonic larval stage and benthic life on rocky intertidal. Macro-parasites have multiple hosts species to complete their life cycle. I develop mathematical model for the evolutionary advantage of complex life cycle (EER2006).[2]The homing in reproduction (return to the natal sites when they mature) is widely observed among animals. I modeled this as the evolution of homing rate when habitats differ in the breeding success and the success difference is not observable.[3]To study the spatial strategy of terrestrial plants, we went into modeling of developmental and morphogenetical process of plants. Specifically the formation of life vein in seed plants. A plant hormone, auxin, and its carrier proteins causes self-organizing process resulting in the spontaneous formation of life vein system. We modeled this as a lattice model and succeeded to find the model that generates branching vein system. However reticulated vein system is impossible to produce by models based on canalization. To do so, we consider an additional process and succeeded in forming reticulated veins.[4]In ecosystem management, we face with the situation in which a successful management requires the cooperation of many people, and we developed the dynamic model in which ecosystem process and people's decision making process are combined. Specifically we developed a model for water quality control and forest destruction.[5]The process of tumorigenesis and the emergence of drug-resistant virus are modeled as evolutionary process in the host's body.