Rozenberg G. Theoretical ecology and information theory: some unifying principles // Principy èkologii. 2021. № 4. P. 4‒25. DOI: 10.15393/

Issue № 4

Analytical review


Theoretical ecology and information theory: some unifying principles

   Gennady Samuilovich
D.Sc., Corresponding Member, RAS, Institute of ecology of Volga basine of RAS,
syntactic and semiotic information
information-sign field
Summary: The article discusses a number of concepts, quantities and laws that came to ecology from physics and informatics, and became widespread due to their deep semantic content. Although the importance of information processes for the realization of ecological functions is widely recognized today, the fundamental principles of information theory are not sufficiently reflected in theoretical ecology. The review is structured around a number of questions about the role that information can play in ecological systems. At the same time, two aspects of information that reflect its dual role are discussed: syntactic information (processes that encode, filter and process information stored in an ecological structure) and semiotic information (related to structures and their context). As a result, ecological objects are presented as open thermodynamic systems that receive information and non-entropic "resupply" from the outside to organize their own structure.

© Petrozavodsk State University

Reviewer: B. Yakimov
Received on: 05 November 2021
Published on: 16 December 2021


Scheiner S. M., Willig M. R. A general theory of ecology, Theor. Ecol. 2008. Vol. 1. P. 21–28. (Shayner P. M., Villig M. R. Obschaya teoriya ekologii, Samarskaya Luka: problemy regional'noy i global'noy ekologii. 2021. T. 30, No. 4. P. 77–86.)

Adil'baev T. Sh. Biosemiotics as a science: codes, signs, logical conflicts and the generation of meaning (summary abstract), METOD: Moskovskiy ezhegodnik trudov iz obschestvovedcheskih disciplin. 2017. No. 7. P. 190–203.

Armand A. D. Information models of natural complexes. M.: Nauka, 1975. 126 p.

Babikova Z., Gilbert L., Bruce T. J. A., Birkett M., Caulfield J. C., Woodcock C., Pickett J. A., Johnson D. Underground signals carried through common mycelial networks warn neighboring plants of aphid attack, Ecol. Lett. 2013. Vol. 16. P. 835–843.

Bateson G. Steps to an Ecology of Mind: Collected Essays in Anthropology, Psychiatry, Evolution, and Epistemology. Chicago: Univ. Press, 1972. 542 p. (Beytson G. Shagi v napravlenii ekologii razuma. 2-e izd. M.: URSS, 2005. 232 c.)

Baumester D. Ekert A. Caylinger A. Physics of quantum information. M.: Postmarket, 2002. 376 p.

Biological sign fields of mammals, Pod red. A. A. Nikol'skogo, V. V. Rozhnova. M.: Tov-vo nauch. izdaniy KMK, 2013. 323 p.

Biryukov B. V. Cybernetics and science methodology. M.: Nauka, 1974. 416 p.

Blyumenfel'd L. A. Information, thermodynamics and design of biological systems, Sorosovskiy obrazovatel'nyy zhurnal. 1996. No. 7. P. 88–92.

Brillyuen L. Thermodynamics – cybernetics – life, Kibernetika – neogranichennye vozmozhnosti i vozmozhnye ogranicheniya: sovremennoe sostoyanie. M.: Nauka, 1980. P. 8–27.

Buharin O. V. Lobakova E. S. Nemceva N. V. Cherkasov S. V. Associative symbiosis. Ekaterinburg: UrO RAN, 2007. 264 p.

Buharin S. N. Kovalev V. I. Malkov S. Yu. On the formalization of the concept of the information field, Informacionnye voyny. 2009. No. 4 (12). P. 2–9.

Clausius R. Über eine veränderte Form des zweiten Hauptsatzes der mechanischen Wärmetheoriein, Annalen der Physik und Chemie. 1854. Vol. 93, No 12. P. 481–506.

Commoner B. The Closing Circle: Nature, Man, and Technology. N. Y.: Knopf., 1971. 326 p. (Kommoner B. Zamykayuschiysya krug. M.: Gidrometeoizdat, 1974. 280 p.).

Conway J. H., Sloane N. J. A. Sphere Packings, Lattices and Groups. 2nd ed. N. Y.: Springer-Verlag, 1993. 679 p.

Coscieme L., Pulselli F. M., Jørgensen S. E., Bastianoni S., Marchettini N. Thermodynamics-based categorization of ecosystems in a socio-ecological context, Ecol. Model. 2013. Vol. 258. P. 1–8.

Dall S. R., Giraldeau L. A., Olsson O., McNamara J. M., Stephens D. W. Information and its use by animals in evolutionary ecology, Trends Ecol. Evol. 2005. Vol. 20. P. 187–193.

Davenport T. H., Prusak L. Information Ecology: Mastering the Information and Knowledge Environment. N. Y.: Oxford Univ. Press, 1997. 272 p.

Davies P. C., Walker S. I. The hidden simplicity of biology, Rep. Prog. Phys. 2016. Vol. 79. P. 1–19.

Dick S. J. The Biological Universe: The Twentieth Century Extraterrestrial Life Debate and the Limits of Science. Cambridge: Univ. Press, 1999. 578 r.

Donaldson-Matasci M. C., Bergstrom C. T., Lachmann M. The fitness value of information, Oikos. 2010. Vol. 119. P. 219–230.

Douglas A. E. Symbiotic Interaction. Oxford et al.: Oxford Univ. Press, 1994. 148 p.

Emmeche C., Kull K. (Eds.). Towards a Semiotic Biology: Life is the Action of Signs. London: Imperial College Press, 2011. 304 p.

Ershteyn L. B. About the definition of the concept of information, Metafizika. 2018. No. 3 (29). P. 21–30.

Everi D. Information theory and evolution. M.; Izhevsk: Regulyarnaya i haoticheskaya dinamika: Institut komp'yuternyh issledovaniy, 2019. 252 c.

Farnsworth K. D. Living is information processing: from molecules to global systems, Acta Biotheor. 2013. Vol. 61. P. 203–222.

Fleishman B. S. Philosophy of systemology, Cybernetica. 1976. Vol. 19, No 4. P. 261–272.

Fleyshman B. S. Basics of systemology. M.: Radio i svyaz', 1982. 368 p.

Fleyshman B. S. Elements of the theory of potential efficiency of complex systems. M.: Sov. radio, 1971. 224 p.

Fleyshman B. S. Stochastic community models, Okeanologiya. Biologiya okeana. Biologicheskaya produktivnost' okeana. M.: Nauka, 1977. T. 2. P. 276–288.

Frank S. A. Natural selection maximizes Fisher information, J. Evol. Biol. 2008. Vol. 22. P. 231–244.

Frank S. A. Natural selection. V. How to read the fundamental equations of evolutionary change in terms of information theory, J. Evol. Biol. 2012. Vol. 25. P. 2377–2396.

Frey T. E. Some aspects of the phytocenotic significance of the species in the plant community, Botanicheskiy zhurnal. 1966. T. 51, No. 8. P. 1073–1084.

Frey T., Võhandu L. Uus meetod klassifikatsiooniühikute püstitamiseks, ENSV TA Toimet. Biol. Seeria. 1966. Nr. 4. Lk. 565–576.

Fronhofer E. A., Nitsche N., Altermatt F. Information use shapes the dynamics of range expansions into environmental gradients, Global Ecol. Biogeogr. 2017. Vol. 26. P. 400–411.

Gasyukov P. S., Kasatkina S. M. Dynamic of the Krill Fishery in the Area 48 and Its Relation to Climate Variability and Changes in Fishing Technology. Bremerhaven (Germany): Document CCAMLR WGEMM-13/25, 2013. 23 p.

Gelashvili D. B. Iudin D. I. Rozenberg G. S. Yakimov V. N. Solncev L. A. Fractals and multifractals in bioecology. N. Novgorod: Izd-vo Nizhegorod. gop. un-ta, 2013. 370 p.

Gelashvili D. B. Iudin D. I. Rozenberg G. S. Yakimov V. N. The power nature of the accumulation of species richness as a manifestation of the fractal structure of biocenosis, Zhurnal obschey biologii. 2007. T. 68, No. 2. P. 115–124.

Gil M. A., Hein A. M., Spiegel O., Baskett M. L., Sih A. Social information links individual behavior to population and community dynamics, Trends Ecol. Evol. 2018. Vol. 33. P. 535–548.

Gilyarov A. M. Information theory in ecology, Uspehi sovremennoy biologii. 1967. T. 64, No. 4. P. 107–115.

Glossary on the information society, Pod obsch. red. Yu. E. Hohlova. M.: Institut razvitiya informacionnogo obschestva, 2009. 160 p.

Gordon T. A. C., Harding H. R., Wong K. E., Merchant N. D., Meekan M. G., McCormick M. I., Radford A. N., Simpson S. D. Habitat degradation negatively affects auditory settlement behavior of coral reef fishes, Proceedings of the National Academy of Sciences of the U.S.A. 2018. Vol. 115. P. 5193–5198.

Gurvich A. G. Theory of biological field. M.: Sov. nauka, 1944. 156 p.

Harte J. Maximum Entropy and Ecology. A Theory of Abundance, Distribution, and Energetics. Oxford: Univ. Publ., 2011. 280 p.

Hefling G. Alarm in 2000: Time bombs on our planet. M.: Mysl', 1990. 270 c.

Holt R. The unraveling of Nature’s information webs: the next depressing frontier in conservation?, Israeli J. Ecol. Evol. 2007. Vol. 53. P. 229–236.

Hurgin V. M. About the definition of "information", Informacionnye resursy Rossii. 2007. No. 3 (97). C. 6–14.

Iudin D. I. Gelashvili D. B. Rozenberg G. S. Multifractal analysis of the structure of biotic communities, Doklady RAN. 2003. T. 389, No. 2. P. 279–282.

Ivchenko B. P. Martyschenko L. A. Information ecology. Part 1. Assessment of the risk of man-made accidents and catastrophes. Statistical interpretation of environmental monitoring. Modeling and forecasting of environmental situations. SPb.: Nordmed-Izdat, 1998. 208 p.

Knyazeva E. N. Biosemiotics: the origins of the interdisciplinary direction, Voprosy filosofii. 2018. No. 11. P. 86–98.

Kovaleva E. Yakovlev A. Ecological functions of swamp ecosystems (on the example of Sakhalin Island), Ekologiya i promyshlennost' Rossii. 2017. T. 21, No. 12. P. 32–37.

Krampen M. Phytosemiotics, Semiotica. 1981. Vol. 36, No 3/4. P. 187–209.

Krapivin V. F. On the theory of survivability of complex systems. M.: Nauka, 1978. 248 p.

Kryshen' A. M. On the methodology of studying phytogenic fields of trees, Botanicheskiy zhurnal. 1998. T. 83, No. 10. P. 133–142.

Kull K. An introduction to phytosemiotics: Semiotic botany and vegetative sign systems, Sign Systems Studies. 2000. Vol. 28. P. 326–350.

Kull K. Biosemiotics in the twentieth century: A view from biology, Semiotica. 1999. Vol. 127, No 1/4. P. 385–414.

Kull K. Jakob von Uexküll: An introduction, Semiotica. 2001. Vol. 134, No 1/4. P. 1–59.

Kull K. Zoosemiotics is the study of animal forms of knowing, Semiotica. 2014. Vol. 198. P. 47–60.

Lee A. E. G., Ounsley J. P., Coulson T., Rowcliffe J. M., Cowlishaw G. Information use and resource competition: an integrative framework, Proceedings of the Royal Society B. 2016. Vol. 283, No 1825. P. 2015–2550.

Levich A. P. Information as a system structure, Semiotika i informatika. 1978. Vyp. 10. P. 116–132.

Levich A. P. Semiotic structures in ecology, or is there an ecological code?, Chelovek i biosfera: ekologicheskiy prognoz. Vyp. 8. M.: MGU, 1983. P. 68–77.

Levich A. P. The concept of stability in biology (mathematical aspects), Chelovek i biosfera. Vyp. 1. M.: MGU, 1977. P. 138–174.

Lysak V. V. Microbiology: Study guide. Minsk: BGU, 2007. 430 p.

MacArthur R. H. Fluctuations of animal populations, and a measure of community stability, Ecology. 1955. Vol. 36. P. 533–536.

MacArthur R. H. Species packing and competitive equilibrium for many species, Theor. Popul. Biol. 1970. Vol. 1, No 1. P. 1–11.

MacArthur R. N. Species packing and what interspecies competition minimizes, Proc. Nat. Acad. Sci. USA. 1969. Vol. 64, No 4. P. 1369–1375.

Madden A. D. A definition of information, Aslib Proceedings. 2000. Vol. 52, No 9. P. 343–349.

Maleina M. N. The concept and classification of genomic (genetic) information, Lex Russica. 2020. T. 73, No. 7. P. 50–58.

Mandel'brot B. Fractal geometry of nature. M.: Institut komp'yuternyh issledovaniy, 2002. 656 p.

Margalef R. Communication of structure in plankton populations, Limnology and Oceanography. 1961. Vol. 6, No 2. P. 124–128.

Margalef R. La teoria de la information en ecologia, Mem. Real. acad. cienc. y artes Barcelona. 1957. Vol. 32. P. 373–449. (Margalef R. Information theory in ecology, Gen. Syst. 1958. Vol. 3. P. 36–71.)

Margalef R. Perspectives in Ecological Theory. Chicago: Univ. Press, 1968. 111 r. (Margalef R. Perspektivy v ekologicheskoy teorii. Tol'yatti: Kassandra, 2012. 122 p.)

Megarran E. Ecological diversity and its measurement. M.: Mir, 1992. 184 p.

Mihaylovskiy G. E. Entropy, information and evolution, Biblioteka elektronnyh publikaciy. 2013. URL:

Mizinceva M. F. Koroleva L. M. Bondar' V. V. Information ecology. M.: Rossel'hozakademiya, 2000. 231 p.

Moiseenko T. I. Sharov A. N. Vandysh O. I. Yakovlev V. A. Lukin A. A. Changes in the biodiversity of the surface waters of the North under conditions of acidification, eutrophication and toxic pollution, Vodnye resursy. 1999. No. 4. P. 492–501.

Moiseev H. H. The systemic organization of the biosphere and the concept of coevolution, Obschestvennye nauki i sovremennost'. 2000. No. 2. P. 123–130.

Moiseev N. N. Modern rationalism. M.: MGVP KOKS, 1995. 376 p.

Monichev A. Ya. Gelashvili D. B. Entropy and information; ecological aspect, Vestnik Nizhegorodskogo universiteta im. N. I. Lobachevskogo. Ser.: Biologiya. 2001. No. 1. P. 52–59.

Mozgovoy D. P. Rozenberg G. S. Vladimirova E. D. Information fields and mammalian behavior: Study guide. Samara: Samarskiy un-t, 1998. 92 p.

Mozgovoy D. P. Rozenberg G. S. Signal biological field of mammals: theory and practice of field research. Samara: SamGU, 1992. 119 p.

Mozgovoy D. P. Vladimirova E. D. Signal fields and animal behavior in the signal-information environment, Izvestiya Samarskogo NC RAN. 2002. T. 4, No. 2. P. 207–215.

Mozgovoy D. P. Information-sign fields and mammalian behavior: theory and practice, Vestnik SamGU. Estestvennonauchnaya ser. 2005. No. 2. P. 238–249.

Mozgovoy D. P. Using the concept of the informational biological field in biogeocenotic research, Voprosy lesnoy biogeocenologii ekologii i ohrany prirody v stepnoy zone: Mezhved. sbornik. Kuybyshev: KGU, 1980. P. 119–125.

Munday P. L., Dixson D. L., Donelson J. M., Jones G. P., Pratchett M. S., Devitsina G. V., Døvingd K. B. Ocean acidification impairs olfactory discrimination and homing ability of a marine fish, Proceedings of the National Academy of Sciences of the U.S.A. 2009. Vol. 106. P. 1848–1852.

Naumov N. P. Biological (signal) fields and their significance in mammalian life, Uspehi sovremennoy teriologii. M.: Nauka, 1977. P. 93–110.

Naumov N. P. Biological (signal) fields and their significance in mammalian life, Vestnik AN SSSR. 1975. No. 2. P. 55–62.

Naumov N. P. Signal (biological) fields and their values for animals, Zhurnal obschey biologii. 1973. T. 34, No. 6. P. 808–817.

Neyman D. Morgenshtern O. Game theory and economic behavior. M.: Nauka, 1970. 708 p.

Nikol'skiy A. A. Ecological aspects of the concept of the biological signal field of mammals, Zoologicheskiy zhurnal. 2003. T. 82, vyp. 4. C. 443–449.

Nikol'skiy A. A. The concept of a biological signal field as a section of general ecology, Biologicheskoe signal'noe pole mlekopitayuschih: Kollektivnaya monografiya. M.: Tov-vo nauch. izdaniy KMK, 2013. P. 7–11.

Norton B. G., Ulanowicz R. Scale and biodiversity policy: a hierarchical approach, Ambio. 2017. Vol. 21. P. 244–249.

O'Connor M. I., Pennell M. W., Altermatt F., Matthews B., Melián C. J., Gonzalez A. Principles of ecology revisited: integrating information and ecological theories for a more unified science, Front. Ecol. Evol. 2019. Vol. 7. Article 219. P. 1–20.

ON. UN. Conventions and agreements. 2021. URL: (data obrascheniya: 10.09.2021).

Odum H. T. Self-organization, transformity, and information, Science. 1988. Vol. 242, No 4882. P. 1132–1139.

Olenina T. Yu. The concept of environmental information in Russian legislation, Legal Concept (Pravovaya paradigma). 2018. T. 17, No. 2. P. 126–133.

Pahomova V. A. The concept of the term "information" and its historical development, Vestnik YuUrGU. Ser.: Pravo. 2013. T. 13, No. 4. P. 59–64.

Patten B. C. An introduction to the cybernetics of the ecosystem: the trophic-dynamic aspect, Ecology. 1959. Vol. 40. P. 221–231.

Patten B. C. Information processing behavior of a natural plankton community, Amer. Biol. Teacher. 1963. Vol. 25. P. 489–501.

Patti G. Remarks, Na puti k teoreticheskoy biologii. Prolegomeny. M.: Mir, 1970. P. 177–179.

Pavlov D. S. Bukvareva E. N. Biodiversity, ecosystem functions and human life support, Vestnik RAN. 2007. T. 77, No. 11. P. 974–998.

Puzachenko Yu. G. Puzachenko A. Yu. Semantic aspects of biodiversity, Zhurnal obschey biologii. 1996. T. 57, No. 1. P. 5–43.

Puzachenko Yu. G. Biological diversity in the biosphere: systemological and semantic analysis, Biosfera. 2009. T. 1, No. 1. P. 25–38.

Puzachenko Yu. G. Biological diversity, sustainability and functioning, Problemy ustoychivosti biologicheskih sistem. M.: IEMEZh AN SSSR, 1982. P. 5–32.

Reznikova Zh. I. Ryabko B. Ya. Ant language and information theory, Priroda. 1988. No. 6. P. 65–70.

Reznikova Zh. I. Ryabko B. Ya. Information-theoretical analysis of the "language" of ants, Zhurnal obschey biologii. 1990. T. 51, No. 5. P. 601–609.

Rozenberg G. S. Mozgovoy D. P. Gelashvili D. B. Elements of theoretical constructions of modern ecology (Textbook). Samara: SamNC RAN, 1999. 396 p.

Rozenberg G. S. Mozgovoy D. P. Gelashvili D. B. Information and ecology: some thoughts on information processes in ecosystems, Vestnik Volzhskogo universiteta im. V. N. Tatischeva. Seriya «Ekologiya». 2002. Vyp. 2. P. 48–59.

Rozenberg G. S. A few words about the Simpson Diversity Index, Samarskaya Luka: Byulleten'. 2007. T. 16, No. 3 (21). P. 581–584.

Rozenberg G. S. Ecology and cybernetics: in the footsteps of Margalef, Biosfera. 2011. T. 3, No. 4. P. 445–454.

Rozenberg G. S. Information index and diversity: Boltzmann, Kotelnikov, Shannon, Weaver…, Samarskaya Luka: problemy regional'noy i global'noy ekologii: Byulleten'. 2010. T. 19, No. 2. P. 4–25.

Rozenberg G. S. Introduction to theoretical Ecology: V 2 t. Izd. 2-e. Tol'yatti: Kassandra, 2013. T. 1. 565 p.; T. 2. 445 p.

Rozenberg G. S. On models of potential efficiency of ecological systems, Izvestiya Samar. NC RAN. Spec. vyp. "Problemy sovremennoy ekologii". 2003. Vyp. 1. P. 34–43.

Rozenberg G. S. Translator's comment of the article on the general theory of ecology, Samarskaya Luka: problemy regional'noy i global'noy ekologii: Byulleten'. 2021. T. 30, No. 4. P. 87–92.

Rozhnov V. V. The place of the concept of mediated chemocommunication in the theory of the biological signal field N. P. Naumova, Biologicheskoe signal'noe pole mlekopitayuschih: Kollektivnaya monografiya. M.: Tov-vo nauch. izdaniy KMK, 2013. P. 16–23.

Schmidt K. A., Dall S. R. X., van Gils J. A. The ecology of information: an overview on the ecological significance of making informed decisions, Oikos. 2010. Vol. 119. P. 304–316.

Schneider E. D., Kay J. J. Life as a manifestation of the second law of thermodynamics, Math. Comput. Modell. 1994. Vol. 19. P. 25–48.

Sebeok T. A. Zoosemiotics, American Speech. 1968. Vol. 43, No 2. P. 142–144.

Sentis A., Ramon-Portugal F., Brodeur J., Hemptinne J, L. The smell of change: warming affects species interactions mediated by chemical information, Global Change Biol. 2015. Vol. 21. P. 3586–3594.

Shennon K. The Bandwagon, Shennon K. Raboty po teorii informacii i kibernetike. M.: Inostr. lit., 1963. P. 667–668. (Shannon C. The Bandwagon, IRE Transactions on Information Theory. 1956. Vol. 2, No 1. P. 3.)

Shitikov V. K. Zinchenko T. D. Rozenberg G. S. Macroecology of river communities: concepts, methods, models. Tol'yatti: Kassandra, 2011. 255 p.

Shklovskiy I. S. The universe, life, mind. 6-e izd. M.: Nauka, 1987. 320 p.

Shurganova G. V. Iudin D. I. Gelashvili D. B. Yakimov V. N. Multifractal analysis of the species diversity of zooplanktocenoses of Cheboksary reservoir, Aktual'nye problemy racional'nogo ispol'zovaniya biologicheskih resursov vodohranilisch. Rybinsk: Rybinskiy dom pechati, 2005. P. 294–309.

Simpson E. H. Measurement of diversity, Nature. 1949. Vol. 163. P. 688. (Simpson E. H. Izmerenie raznoobraziya, Samarskaya Luka: Byulleten'. 2007. T. 17, No. 3 (21). P. 585–587.)

Socio-, ecological-economic assessment of the state of the territory, Pod red. P. V. Karelova, I. P. Belik. Ekaterinburg: UrFU, 2013. 258 p.

Svirezhev Yu. M. Logofet D. O. Sustainability of biological communities. M.: Nauka, 1978. 352 p.

Tarasenko F. P. On the definition of the concept of "information" in cybernetics, Voprosy filosofii. 1963. No. 3. P. 80.

Turovski A. On the zoosemiotics of health and disease, Sign Systems Studies. 2002. Vol. 30, No 1. P. 213–219.

Ulanowicz R. E. Information theory in ecology, Computers and Chemistry. 2002. Vol. 25. P. 393–399.

Ulanowicz R. E., Goerner S. J., Lietaer B., Gomez R. Quantifying sustainability: resilience, efficiency and the return of information theory, Ecol. Complex. 2009. Vol. 6. P. 27–36.

Ulanowicz R. E., Jørgensen S. E., Fath B. D. Exergy, information and aggradation: an ecosystems reconciliation, Ecol. Modell. 2006. Vol. 198. P. 520–524.

Uranov A. A. Phytogenic field, Problemy sovremennoy botaniki. T. 1. M.; L.: Nauka, 1965. P. 251–254.

Vechtomov S. G. Genetics with the basics of breeding. M.: Vyssh. shk., 1989. 591 p.

Viner N. Kibernetika, ili upravlenie i svyaz' v zhivotnom i mashine. M.: Sov. radio, 1958. 216 p. (Wiener N. Cybernetics: Or Control and Communication in the Animal and the Machine. Paris: Hermann & Cie; Cambridge; Massachusetts: M.I.T. Press, 1948. 194 p.).

Vladimirova E. D. Mozgovoy D. P. The influence of traces of the life activity of the common fox on the winter ecology of some martens, Vestnik SamGU. Estestvennonauchnaya seriya. 2002. No. 6/1 (46). P. 220–234.

Vladimirova E. D. Kommunikativnaya sostavlyayuschaya informacionnyh signal'nyh poley lisicy, Vestnik SamGU. Estestvennonauchnaya seriya. 2002. No. 4 (26). P. 145–156.

Vol'kenshteyn M. V. Entropy and information. M.: Nauka, 1986. 192 p.

Voroncov N. N. Ecological crises in the history of mankind, Sorosovskiy obrazovatel'nyy zhurnal. 1999. No. 10. P. 2–10.

Wagner A. Information theory, evolutionary innovations and evolvability, Philosophical Transactions of the Royal Society. B. Biol. Sci. 2017. Vol. 372. P. 416–418.

Walker S. I., Davies P. P. W., Ellis G. F. R. (Eds). From Matter to Life: Information and Causality. Cambridge: Univ. Press, 2017. 494 p.

Walker S. I., Kim H., Davies P. C. The informational architecture of the cell, Transactions of the Royal Society. A. 2016. Vol. 374. P. 1–21.

Wicken J. S. Entropy and Information: suggestions for common language, Philos. Sci. 1987. Vol. 54. P. 176–193.

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