Algebra of Ecology

This monograph examines issues that serve as theoretical prerequisites for constructing an algebra of ecology. These issues include: basic concepts; interactions of ecological factors; a formal definition of the ecological niche; the group-theoretical relationship of survival coefficient functions; and certain representations of the group. It also explores a variety of information models and ecological survival fields.
The results of investigating the aforementioned issues provide a basis for the following assertions:

• Ecological factors are, first, diverse (potentially unlimited) changing natural forces; second, the adaptive responses of biological objects to the impact of ecological factors constitute their survivability; third, the influence of environmental factors on individuals within a population should be considered through the concept of survival functions; fourth, despite the potentially infinite variety of ecological factors, their corresponding survival coefficient functions can be classified into six types.
• The interaction of environmental factors forms a kind of survivability hypervolume, created by the interaction of survival coefficient functions corresponding to the ecological factors of the environment.

The authors declare no conflict of interest.

Not applicable

The datasets used in this study are openly available at [repository link] and the source code is available on GitHub at [GitHub link].

This work did not receive any external funding.