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In the environmental sciences, mathematic models are commonly applied to analyze ecological and biogeochemical data. The technique where a model is used to interpret available measurements such as to retrieve unmeasured information on the system being observed is called "inverse modelling". In this paper we will discuss and give examples of two modeling techniques used to analyse ecological and biogeochemical data. On the one hand are mechanistic mathematical models that are written as a set of non-Linear differential equations. On the other hand are so-called Linear inverse models (LIMs) that consist of a set of linear equations that need to be solved for the unknowns. [ABSTRACT FROM AUTHOR]