## Elements of Individual Based Models

A mathematical model consists of a set of equations, which is formulated in the general language of mathematics. For IBMs, equations and the language of mathematics are only applicable to submodels that describe certain processes, but the entire model consists offurther elements, which are listed in the following. This list describes the decisions a modeler has to make while developing and formulating an IBM, and the details of each of these decisions can significantly influence the behavior ofthe IBM. Therefore, this list, which is similar to the so-called ODD (overview, design concepts, details) protocol for describing IBMs, must also be communicated in publications of the IBM; readers can use it also as a checklist to understand the structure and dynamics of a published IBM.

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