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A branching process (BP) (see e.g. Jagers (1975)) is a mathematical model to describe the development of a population. Here population is meant in a general sense, including a human population, animal populations, bacteria and others which reproduce in a biological sense, cascade process, or particles which split in a physical sense, and others. Members of a BP-population are called individuals, or particles. If the times of reproductions are discrete (usually denoted by 1,2, …) then the totality of individuals present at time and living to time excluded are thought of as forming the generation. Simple BPs are defined by an initial state (number of individuals at time 0) and a law of reproduction, usually denoted by . A resource-dependent branching process (RDBP) is a discrete-time BP which models the development of a population in which individuals are supposed to have to work in order to be able to live and to reproduce. The population decides on a society form which determines the rules how available resources are distributed among the individuals. For this purpose a RDBP should incorporate at least four additional model components, namely the individual demands for resources, the creation of new resources for the next generation, the notion of a policy to distribute resources, and a control option for individuals for interactions with the society. ==Definition== A (discrete-time) resource-dependent branching process is a stochastic process defined on the non-negative integers which is a BP defined by * an initial state ; * a law of reproduction of individuals; * a law of individual creation of resources; * a law of individual resource demands (claims); * a policy to distribute available resources to individuals which are present in the population * a tool of interaction between individuals and the society. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Resource-dependent branching process」の詳細全文を読む スポンサード リンク
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