A Mathematical Model of Winter Route Counting: Checking for Falsification
https://doi.org/10.35885/1684-7318-2019-4-432-444
Abstract
In the course of our model experiment, an attempt was made to falsify (refute) a consequence from the mathematical justification of the winter route counting of hunting animals (WRC) – the consequence of the mathematical expectation of the proportionality coefficient of this counting being equal to π/2. A simulation was carried out in the MapInfo program. The essence of our digital experiment was as follows: in several places of the model territory, which was a circle 5 km in diameter, daily tracks of animals were placed. Next, a grid of parallel routes oriented along 12 equally spaced directions relative to each other was applied to the model territory. The frequency of the route grid (the distance between parallel routes) for different tracks was chosen so that the total number of all intersections of a single track in all directions was not less than a thousand. In total, 19 electronic daily tracks of various animal species were used. 95 different actual values of the proportionality coefficient were obtained for various locations of the tracks in the model territory, no violations of the above mentioned consequence were found. The results of our experiment made it possible to formulate a corollary arising from the fundamental properties of Euclidean geometry on the directly proportional dependence between the number of intersections between the lines of daily animal tracks and route lines and the product of the total lengths of these lines. The mathematical justification of WRC has once again passed a simulation test, already using the means of geographical information systems and data from satellite navigators. At present, there are no grounds for abandoning the practical use of winter route counting for game animals. All possible discrepancies in the estimates of the numbers of game animals determined by the WRC method with their actual values should be attributed to shortcomings in the direct organization of this counting rather than to its mathematical justification.
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
Russian Federation
24 Rabochaya St., Saratov 410028
References
1. 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).
2. 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).
3. Kuzyakin V. A. Results of Modelling Winter Transect Counts. In: Zimnii marshrutnyi uchet okhotnich'ikh zhivotnykh [Winter Transect Counts of Game Animals]. Moscow, TsNIL Glavokhoty RSFSR Publ., 1983, pp. 193–220 (in Russian).
4. Kuzyakin V. A. Accounting for the number of Game Animals. Moscow, KMK Scientific Press, 2017. 320 p. (in Russian).
5. Kuzyakin V. A. Winter Route Accounting: Problems Remained . Okhotnik.ru. Moscow, 2018. Available at: https://www.ohotniki.ru/hunting/societys/societys/article/2018/02/03/650422- zimniy-marshrutnyiy-uchet-problemyi-ostalis.html (accessed 3 December 2018) (in Russian).
6. 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).
7. 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).
8. Popper K. The Logic of Scientific Discovery. Moscow, Progress Publ., 1983. 604 p. (in Russian).
9. Priklonsky S. G. The Recalculation Factor for the Processing of Winter Tracking Data for Game Animals by the Tracks. Bull. of Moscow Society of Naturalists, Biological Ser., 1965, vol. 70, iss. 6, pp. 5–12 (in Russian).
10. 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).
11. 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).
12. Chelintsev N. G. Matematicheskie osnovy ucheta zhivotnykh [The Mathematical Basis of Animal Censuses]. Moscow, GU Tsentrokhotkontrol' Publ., 2000. 432 p. (in Russian).
Review
For citations:
Kondratenkov I.A. A Mathematical Model of Winter Route Counting: Checking for Falsification. Povolzhskiy Journal of Ecology. 2019;(4):432-444. (In Russ.) https://doi.org/10.35885/1684-7318-2019-4-432-444
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