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Distribution of the Proportionality Coefficient of Winter Route Accounting

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.

About the Author

I. A. Kondratenkov
Saratov branch of A. N. Severtsov Institute of Ecology and Evolution,Russian Academy of Sciences
Russian Federation
24 Rabochaya St., Saratov 410028


References

1. Wentzel E. S. Teoriia veroiatnostei: Uchebnik dlia studentov vuzov [Probability Theory]. Moscow, Akademiia Publ., 2003. 576 p. (in Russian).

2. Gusev O. K. Metody opredeleniia chislennosti sobolia [Methods for Determining the Number of Sable]. Moscow, Glavnoe upravlenie okhotnich'ego khoziaistva i zapovednikov pri Sovete Ministrov RSFSR Publ., 1965. 55 p. (in Russian).

3. Kendall M., Moran P. Geometrical Probability. Moscow, Nauka Publ., 1972. 192 p. (in Russian).

4. Kondratenkov I. A. On Increasing the Accuracy of Hunting Animal Accounting in Small Areas. Povolzhskiy J. of Ecology, 2017, no. 3, pp. 275–283 (in Russian).

5. Kondratenkov I. A. Some Aspects of the Theory of Winter Route Accounting of Hunting Animals. Povolzhskiy J. of Ecology, 2018, no. 1, pp. 26–48 (in Russian).

6. Kondratenkov I. A. A Mathematical Model of Winter Route Counting: Checking for Falsification. Povolzhskiy Journal of Ecology, 2019, no. 4, pp. 432–444 (in Russian). DOI: https:// doi.org/10.35885/1684-7318-2019-4-432-444

7. Korolyuk V. S., Portenko N. I., Skorokhod A. V., Turbin A. F. Spravochnik po teorii veroiatnostei i matematicheskoi statistike [Handbook on Probability Theory and Mathematical Statistics]. Moscow, Nauka Publ., 1985. 640 p. (in Russian).

8. Malyshef V. The Quantitative Account of Mammals by their Tracks. Bulletin of the Far Eastern Branch of the Academy of Sciences of the USSR, 1936, iss. 16, pp. 177–179 (in Russian).

9. Naumov Р. P. How to deal with the Problem of the Introduction and Implementation of Techniques of Winter Trip for Hunting Animals (will-2001–2013 biennium). Klimat, ekologiia, sel'skoe khoziaistvo Evrazii: materialy III mezhdunarodnoi nauchno-prakticheskoi konferentsii [Climate, Ecology, and Agriculture of Eurasia: Materials of III International Scientific-Practical Conference]. Irkutsk, Izdatel'stvo Irkutskoi gosudarstvennoi sel'sko-khoziaistvennoi akademii, 2014, pp. 236–244 (in Russian).

10. Naumov P. Р. Problems of Methodical Support of Resource Accounting of Game Animals. Klimat, ekologiia, sel'skoe khoziaistvo Evrazii: materialy IV mezhdunadnoi nauchno-prakticheskoi konferentsii [Climate, Ecology, and Agriculture of Eurasia: Materials of IV International Scientific-Practical Conference]. Irkutsk, Izdatel'stvo Irkutskoi gosudarstvennoi sel'sko-khoziaistvennoi akademii, 2015, pp. 138–144 (in Russian).

11. Novikov G. A. Polevye issledovaniia po ekologii nazemnykh pozvonochnykh [Field Studies of the Ecology of Terrestrial Vertebrates]. Moscow, Sovetskaia nauka Publ., 1953. 502 p. (in Russian).

12. Pereleshin S. D. Analysis of the Formulas for the Quantitative Assessment of Mammals by Footsteps. Bull. of Moscow Society of Naturalists, Biological Ser., 1950, vol. 55, iss. 3, pp. 17–20 (in Russian).

13. Priklonsky S. G. Winter Route Accounting of Hunting Animals. Proceedings of the Oka State Nature Biosphere Reserve, 1973, iss. 9, pp. 35 – 50 (in Russian).

14. Rusanov Ya. S. Trace Activity of Wild ani as a Factormals Determining the Possibility of Accounting for Their Number. In: Voprosy lesnogo okhotovedeniia i nedrevesnoi produktsii lesa [Issues of Forest Hunting and Non-wood Forest Products]. Moscow, VNII lesovodstva i mekhanizatsii lesnogo khoziaistva Publ., 1984, pp. 3–17 (in Russian).

15. Smirnov V. S. Mathematical Prerequisites for Accounting for the Number of Hunting Animals. Proceedings of the Oka State Nature Biosphere Reserve, 1973, iss. 9, pp. 13 – 29.

16. Tsyndyzhapova S., Kozhechkin V. About the New Method of Winter Route Accounting. Okhota i okhotnich'e khoziaistvo, 2015, no. 2, pp. 10–13 (in Russian).

17. Chelintsev N. G. Mathematical Foundations of Winter Route Accounting. In: Zimnii marshrutnyi uchet okhotnich'ikh zhivotnykh [Winter Transect Counts of Game Animals]. Moscow, TsNIL Glavokhoty RSFSR Publ., 1983, pp. 158–189 (in Russian).

18. Chelintsev N. G. Matematicheskie osnovy ucheta zhivotnykh [The Mathematical Basis of Animal Censuses]. Moscow, GU Tsentrokhotkontrol' Publ., 2000. 432 p. (in Russian).

19. Yurgenson P. B. Theory of distribution, spatial analysis, and applied ecology of animals. Bull. of Moscow Society of Naturalists, Biological Ser., 1970, vol. 75, iss. 6, pp. 5–16 (in Russian).


Review

For citations:


Kondratenkov I.A. Distribution of the Proportionality Coefficient of Winter Route Accounting. Povolzhskiy Journal of Ecology. 2020;(4):415-426. (In Russ.) https://doi.org/10.35885/1684-7318-2020-4-415-426

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ISSN 1684-7318 (Print)
ISSN 2541-8963 (Online)