Elimination of an interfering parameter when processing observations of animal visits to certain points or areas in the analysis of biodiversity

The paper focuses on constructing estimates of biodiversity in ecosystems based on observations of the movements of various species of animals using camera traps, animal tracks and using UAVs. The assessment of biodiversity is basing on the Shannon measure (entropy). When processing observations of the moments when animals approach camera traps, the intersections of some routes and the formation of tracks, it becomes necessary to take into account observation errors caused by inaccuracies in the operation of instruments or metering, meteorological and other factors. This leads to the need to use the Poisson flow model with "coloring over" some points, to construct Chebyshev's inequality for various functions from observations, and eliminate interfering parameters from observations caused by measurement inaccuracies. Using a combination of these methods, it is possible to estimate the probability of the presence of individual animal species in the ecosystem and the entropy function according to these estimates. The convergence in probability of the constructed estimates is proving with increasing observation time (tending towards infinity). Contribution of the authors: Tsitsiashvili G.Sh. built probabilistic models and estimates of their parameters. Bocharnikov V.N. gave a detailed description of the work of camera traps when observing animals indistinguishable from images and formulated a meaningful task of processing these data.

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