Distribution of the Proportionality Coefficient of Winter Route Accounting
Open Access
- 13 January 2021
- journal article
- Published by A.N.Severtsov Institute of Ecology and Evolution RAS - IEE RAS in Povolzhskiy Journal of Ecology
- No. 4,p. 415-426
- https://doi.org/10.35885/1684-7318-2020-4-415-426
Abstract
In previous studies it was shown that the coefficient of proportionality of the winter route count (WRC) of animals included in the formula of WRC in the form of a constant multiplier π/2, is actually a random variable – the same as the average number of intersections account route traces per unit length, and the average length of the diurnal animals. The value π/2 is the mathematical expectation value of the proportionality factor, provided that the count route equiprobably crosses the daily footprint at any place and at any angle from 0 to 2π during a winter route counting of animals. At the same time, both the nature of the distribution of the coefficient as a random variable and the values of its variance as its other statistical characteristics remained unknown. In this study, it was found that when the above-mentioned count conditions are met, the distribution of the proportionality coefficient of WRC as a random variable will be exponential or power-like. This allows calculating the values of its variance and relative statistical error in advance without collecting additional count data.Keywords
This publication has 3 references indexed in Scilit:
- A Mathematical Model of Winter Route Counting: Checking for FalsificationPovolzhskiy Journal of Ecology, 2020
- SOME ASPECTS OF THE THEORY OF WINTER ROUTE ACCOUNTING OF HUNTING ANIMALSPovolzhskiy Journal of Ecology, 2018
- On increasing the accuracy of hunting animal accounting in small areasPovolzhskiy Journal of Ecology, 2017