THE VEGETATION COVER OF THE UPPER PLATEAU OF THE VOLGA UPLAND TERRAIN
WITHIN THE PENZA REGION

Leonova Natal'ya Alekseevna, Candidate of biological sciences, associate professor, sub-department of botany, plant physiology and biochemistry, Penza State University
(Penza, 40 Krasnaya str.), na_leonova@mail.ru
Kulakova Dar'ya Aleksandrovna, Master degree student, sub-department of botany, plant physiology and biochemistry, Penza State University (Penza, 40 Krasnaya str.), DA.KULAKOVA@MAIL.RU
Artemova Serafima Nikolaevna, Candidate of geographic sciences, associate professor, sub-department of geography, Penza State University (Penza, 40 Krasnaya str.), art-serafima@yandex.ru

581.5

The article contains analytical guidelines of diagnosing (forecasting) long-life systems with the use of average Q-matrices. Provided are details of methodological peculiarities of averaging elements of Q-matrices. The article offers the algorithm synthesized with their use as based on the limit theorem for numerical homogeneous Markov chains (on majorant convergence) allowing of diagnosing and forecasting system conditions according to stability parameter. All analytical results are illustrated by numerical experiments. Their results prove sufficient response of the offered algorithm to the given data variations.

diagnosing, forecasting, probability, system, Q-matrix, Markov chains, ecology, biology.

1. Mirkin, B. M. Metodicheskie ukazaniya dlya praktikuma po klassifikatsii ras-titel'nosti metodom Braun – Blanke / B. M. Mirkin, L. G. Naumova, A. I. Solomeshch. – Ufa, 1989. – 37 s.
2. Mirkin, B. M. Spisok i diagnosticheskie kriterii vysshikh edinits ekologo-floristicheskoy klassifikatsii rastitel'nosti SSSR / B. M. Mirkin, A. I. Solomeshch, A. R. Ishbirdin, L. M. Alimbekova. – M., 1989. – 46 s.
3. Cherepanov, S. K. Sosudistye rasteniya Rossii i sopredel'nykh gosudarstv (v predelakh byvshego SSSR). Russkoe izdanie / S. K. Cherepanov. – SPb. : Mir i sem'ya, 1995. – 992 s.
4. Vostochnoevropeyskie shirokolistvennye lesa. – M. : Nauka, 1994. – Kn. 1. – 479 s.
5. Nitsenko, A. A. Ob izuchenii ekologicheskoy struktury rastitel'nogo pokrova / A. A. Nitsenko // Bot. zhurnal. – 1969. – T. 54. – 221 s.
6. Zozulin, G. M. Vzaimootnosheniya lesnoy i travyanistoy rastitel'nosti v Tsentral'no-Chernozemnom gosudarstvennom zapovednike / G. M. Zozulin // Trudy Tsentr.-Cher¬nozem. gos. zapovednika. – 1955. – № 3. – S. 102–234.
7. Zozulin, G. M. Istoricheskie svity rastitel'nosti evropeyskoy chasti SSSR / G. M. Zozulin // Bot. zhurnal. – 1973. – T. 58, № 8. – S. 1081–1092.
8. Armand, D. L. Nauka o landshafte (osnovy teorii i logiko-matematicheskie metody) / D. L. Armand. – M. : Mysl', 1975. – 287 s.
9. Mil'kov, F. N. Lesostep' Russkoy ravniny. Opyt landshaftnoy kharakteristiki / F. N. Mil'kov. – M. : Izd-vo AN SSSR, 1950. – 296 s.
10. Yamashkin, A. A. Landshaftnaya karta i prostranstvennye zakonomernosti prirodnoy differentsiatsii Penzenskoy oblasti / A. A. Yamashkin, S. N. Artemova, L. A. Novik-ova, N. A. Leonova, N. S. Alekseeva // Problemy regional'noy ekologii. – 2011. – № 1. – S. 49–57.