Methodological aspects of the stock-recruitment curve analysis
https://doi.org/10.26428/1606-9919-2021-201-219-259
Abstract
Choosing of mathematical model for describing of the pacific salmon progeny dependence on the parents abundance is discussed. Results of different approximations are interpreted. The analysis could be useful for forecasting of the pacific salmon stocks by specialists without deep skills in numerical modeling (like the author).
About the Author
V. I. OstrovskyRussian Federation
Ostrovsky Vladimir I. - Ph.D., head of section, Khabarovsk branch of VNIRO (KhabarovskNIRO).
13a, Amursky Boulevard, Khabarovsk, 680038.
References
1. Afifi, A.A. and Azen, S.P., Statistical Analysis: A Computer Oriented Approach, New York: Academic Press, 1979, 2nd ed.
2. Babayan, V.K., Predostorozhnyi podkhod k otsenke obshchego dopustimogo ulova (ODU) (The Precautionary Approach to the Assessment of Total Allowable Catch (TAC)), Moscow: VNIRO, 2000.
3. Begon, M., Harper, J.L., and Townsend, C.R., Ecology: Individuals, Populations and Communities, Oxford: Blackwell, 1986, vol. 1.
4. Brusilovsky, P.M., Kollektivy prediktorov v ekologicheskom prognozirovanii (Collectives of predictors in environmental forecasting), Saratov: SGU, 1987.
5. Buyanovsky, A.I., Prognoz potentsial'nogo vylova pribrezhnykh bespozvonochnykh pri zatrudnenii s otsenkoy zapasa: metodicheskiye rekomendatsii (Potential catch of coastal invertebrates under the difficulties in stock assessment), Moscow: VNIRO, 2000.
6. Gritsenko, O.F., Prokhodnye ryby ostrova Sakhalin (sistematika, ekologiya, promysel) (Diadromous Fishes of Sakhalin (Systematics, Ecology, Fisheries)), Moscow: VNIRO, 2002.
7. Draper, N., and Smith, H., Applied regression analysis, New York: John Wiley & Sons, 1998, 3rd ed.
8. Zade, L., Foundations of a new approach to the analysis of complex systems and decisionmaking processes, Matematika segodnya, Moscow: Znaniye, 1974, pp. 5-49.
9. Zadeh, L.A., The concept of a lingustic variable and its application to approximate reasoning, New York, 1973.
10. Zasosov, A.V., Theory of fish stock reproduction, Tr. Vses. Nauchno-Issled. Inst. Rybn. Khoz. Okeanogr., 1969, vol. 67, no. 1, pp. 101-111.
11. Ivlev, V.S., Eksperimental'naya ekologiya pitaniya ryb (Experimental ecology of fish nutrition), Moscow: Pishchepromizdat, 1955.
12. Kotenev, B.N., Gritsenko, O.F., and Klovach, N.V., Ob organizatsii promysla tikhookeanskikh lososei (On Organization of Pacific Salmon Fishery), Moscow: VNIRO, 2006.
13. Krogius, F.V., Krokhin, E.M., and Menshutkin, V.V., Soobshchestvo pelagicheskikh ryb oz. Dal'nego: opyt kiberneticheskogo modelirovaniya (Community of Pelagic Fishes in Lake Dal'nee: The Experience of Cybernetic Modeling), Leningrad: Nauka, 1969.
14. Lakin, G.F., Biometriya (Biometrics), Moscow: Vysshaya Shkola, 1990, 4th ed.
15. Levanidov, V.Ya., The reproduction of Amur salmon and the forage supply of their juveniles in the tributaries of the Amur River, Izv. Tikhookean. Nauchno-Issled. Inst. Rybn. Khoz. Okeanogr., 1969, vol. 67.
16. Levanidov, V.Ya., On the relationship between the density of filling of spawning grounds and the spawning success of Amur salmon, Izv. Tikhookean. Nauchno-Issled. Inst. Rybn. Khoz. Okeanogr., 1964, vol. 55, pp. 65-73.
17. Maksimenko, V.P. and Antonov, N.P., Quantitative Methods of Fish Reserves Evaluation, Petropavlovsk-Kamchatsky: KamchatNIRO, 2003. (Bulletin of the journal «Issues of Fishery», Moscow, 2004).
18. Medik V.A. and Tokmachev M.S., Matematicheskaya statistika v meditsine (Mathematical Statistics in Medicine), Moscow: Finansy i Statistika, 2007.
19. Nalimov, V.V., Analysis of the bases of ecological forecast. Pattern analysis as a weakened version of the forecast, in Chelovek i biosfera. Vyp. 8: Ekologicheskiy prognoz (Man and biosphere. Iss. 8: Environmental Outlook), Moscow: MGU, 1983, pp. 31-47.
20. Nalimov, V.V., Teoriya eksperimenta (Experiment theory), Moscow: Nauka, 1971.
21. Nikolsky, G.V., Teoriya dinamiki stada ryb kak biologicheskaya osnova ratsional'noi ekspluatatsii i vosproizvodstva rybnykh resursov (The Theory of Fish Stock Dynamics as a Biological Basis for the Rational Exploitation and Reproduction of Fish Resources), Moscow: Pishchevaya Promyshlennost', 1974, 2nd ed.
22. Ostrovsky, V.I., Dependence of Size Composition of Yearlings and Recruitment on the Number of Parents in the Sockeye Salmon Oncorhynchus nerka from Lake Dalnee (Kamchatka), Russ. J. Mar. Biol., 1998, vol. 24, no. 4, pp. 231-238.
23. Ostrovsky, V.I., Dependence of the number of descendants of pink salmon Oncorhynchus gorbuscha Walbaum p. Cupid from the number of parents, in Chteniya pamyati Vladimira Yakovlevicha Levanidova (Readings Commemorating Vladimir Yakovlevich Levanidov), Vladivostok: Dal'nauka, 2005, vol. 3, pp. 610-615.
24. Ostrovsky, V.I., Regularities of reproduction for pink salmon Oncorhynchus gorbuscha from the Iska River, Izv. Tikhookean. Nauchno-Issled. Inst. Rybn. Khoz. Okeanogr., 2018, vol. 194, pp. 54-67.
25. Ostrovsky, V.I., Factors controlling the pink salmon Oncorhynchus gorbuscha juveniles abundance in the Iska River, Izv. Tikhookean. Nauchno-Issled. Inst. Rybn. Khoz. Okeanogr., 2011, vol. 166, pp. 88-102.
26. Ostrovsky, V.I., Factors controlling abundance of downstream juvenile pink salmon (Oncorhynchus gorbuscha) in the Mi River, Izv. Tikhookean. Nauchno-Issled. Inst. Rybn. Khoz. Okeanogr., 2014, vol. 177, pp. 156-166.
27. Ostrovsky, V.I., Specificity of modern forecasting of the stock of the Amur pink salmon, in Byull. N 9 izucheniya tikhookeanskikh lososei na Dal'nem Vostoke (Bull. No. 9 Study of Pacific Salmon in the Far East), Vladivostok: TINRO-Tsentr, 2014, pp.84-90.
28. Ostrovsky, V.I., Factors controlling the chum salmon Oncorhynchus keta juveniles abundance in the Iska River, Izv. Tikhookean. Nauchno-Issled. Inst. Rybn. Khoz. Okeanogr., 2012, vol. 168, pp. 121-136.
29. Ostrovsky, V.I., Factors controlling the chum salmon (Oncorhynchus keta) juveniles abundance in the Mi River, Izv. Tikhookean. Nauchno-Issled. Inst. Rybn. Khoz. Okeanogr., 2013, vol. 172, pp. 94-105.
30. Ostrovskii, V.I., Number and age of smolting of progeny of the sockeye salmon Oncorhynchus nerka in Lake Azabachye (Kamchatka) in relation to number of parents, Russ. J. Mar. Biol., 1997, vol. 23, no. 2, pp. 86-91.
31. Ostrovsky, V.I. and Ponomarev, S.D., Dependence of the pink salmon Oncorhynchus gorbuscha progeny abundance on parents number in the rivers of Okhotsk region, Izv. Tikhookean. Nauchno-Issled. Inst. Rybn. Khoz. Okeanogr., 2009, vol. 157, pp. 120-132.
32. Ostrovsky, V.I. and Ponomarev, S.D., “Ungrateful” pink salmon, or deterministic chaos?, in Byull. N 4 realizatsii “Kontseptsii dal'nevostochnoi basseinovoi programmy izucheniya tikhookean-skikh lososei” (Bull. No. 4 Implementation “Concept of the Far Eastern Basin Program for the Study of Pacific Salmon”), Vladivostok: TINRO-Tsentr, 2009, pp. 97-102.
33. Ostrovsky, V.I. and Semenchenko, N.N., The influence of volcanic ash on the dynamics of the number of Cyclops scutifer in the Kurilskoe lake (Kamchatka), in Chteniya pamyati Vladimira Yakovlevicha Levanidova (Readings Commemorating Vladimir Yakovlevich Levanidov), Vladivostok: Dal'nauka, 2001, vol. 1, pp. 367-374.
34. Ostrovsky, V.I. and Semenchenko, N.N., Interannual Variations of the Body Length in Sockeye Salmon Oncorhynchus nerka Smolts of Lake Kurilskoe in Relation to External Factors, Russ. J. Mar. Biol., 2002, vol. 28, no. 1, pp. 30-36.
35. Ostrovsky, V.I. and Semenchenko, N.N., Dependence of Number of Progeny of Red Salmon Oncorhynchus nerka from Dal'nee Lake (Kamchatka) on Number of Parents, Russ. J. Mar. Biol., 2002, vol. 28, no. 6, pp. 371-378.
36. Ostrovsky, V.I. and Semenchenko, N.N., The role of social stress in the regulation of sockeye salmon population (Oncorhynchus nerka Walbaum), in Vses. Soveshch. “Issledovanie i ratsional'noe ispol'zovanie bioresursov dal'nevostochnykh i severnykh morei SSSR i perspektivy sozdaniya tekhnicheskikh sredstv dlya osvoeniya neispol'zuemykh bioresursov otkrytogo okeana”, Tezisy dokl. (Proc. All.-Sov. Meet. “Research and Rational Management of Bioresources of the Far Eastern and Northern Seas of the USSR and Prospects of Creation of Technical Means for Development of Unused Bioresources of the Open Ocean), Vladivostok: TINRO, 1985, pp. 48-49.
37. Parensky, V.A., Spawning efficiency of sockeye salmon, Oncorhynchus nerka, as dependent on the behaviour pattern of spawners on spawning grounds, Vopr. Ikhtiol., 1989, vol. 29, no. 6, pp. 985-993.
38. Parensky, V.A., Etologiya neresta nerki (Ethology of Sockeye Salmon Spawning), Vladivostok: Dal'nauka, 1992.
39. Podlesnykh, A.V., Some aspects of energy metabolism in the spawning red salmon Oncorhynchus nerka, J. Ichthyol., 2000, vol. 40, no. 2, pp. 131-133.
40. Podlesnykh, A.V., and Pashchenko, S.V., Efficiency of Reproduction in Epigenetic Groups of Sockeye Salmon Oncorhynchus nerka in Relation to the Density of Spawners, Russ. J. Mar. Biol., 1997, vol. 23, no. 6, pp. 322-327.
41. Pollard, J.H., A Handbook of Numerical and Statistical Techniques: with Examples Mainly from the Life Sciences, New York: Cambridge Univ. Press, 1977.
42. Reshetnikov, Yu.S., Sukhanov, V.V., and Sterligov, A.V., Matematicheskaya model' pitomnika molodi sigovykh ryb (Mathematical model of a nursery for young whitefish), Moscow: Nauka, 1990.
43. Ricker, W.E., Computation and Interpretation of Biological Statistics of Fish Populations, Ottawa: Dep. Environ. Fish. Mar. Serv., 1975.
44. Rosenberg, G.S., Modeli v fitotsenologii (Models in phytocenology), Moscow: Nauka, 1984.
45. Rozenberg, G.S., Shitikov, V.K., and Brusilovskii, P.M., Ekologicheskoe prognozirovanie (funktsional'nye prediktory vremennykh ryadov) (Ecological Forecasting (Functional Predictors of Time Series)), Tolyatti: Inst. Ekol. Volzhskogo Basseina, Ross. Akad. Nauk, 1994.
46. Samarskiy, A.A., What is a computational experiment?, Nauka i zhizn', 1979, no. 3, pp. 27-33.
47. Semenchenko, N.N., Mechanisms of abundance self-regulation in the sockeye salmon Onco-rhynchus nerka, Vopr. Ikhtiol., 1988, vol. 28, no. 1, pp. 44-52.
48. Semenchenko, N.N., Physiological features and ethological structure of the Sockeye Sockeye population Oncorhynchus nerka (Walb.) During the spawning period, in Biologicheskiye issledovaniya lososevykh (Biological research of salmon), Vladivostok: Dal'nevost. Nauchn. Tsentr, Akad. Nauk SSSR, 1985, pp. 80-90.
49. Skaletskaya, E.I., Density regulation of population dynamics and optimal fishing, in Matemat-icheskiye issledovaniya v populyatsionnoy ekologii (Mathematical research in population ecology), Vladivostok: Dal'nevost. Otd. Akad. Nauk SSSR, 1988, pp. 33-38.
50. Forrester, J., Anti-intuitive behavior of complex systems, in Sovremennyye problemy kibernetiki (Modern problems of cybernetics), Moscow: Znaniye, 1977, pp. 9-25.
51. Forrester, J.W., World dynamics, Cambridge, Mass., 1971.
52. Hilborn, R. and Walters, C.J., Quantitative fisheries stock assessment: choice, dynamics and uncertainty, New York: Chapman and Hall, 1992.
53. Shapiro, A.P. and Bronevsky, A.M., The experience of applying catastrophe theory in models of the dynamics of the number of isolated populations with a variation of the Malthusian parameter, in Matematicheskiye issledovaniya v populyatsionnoy ekologii (Mathematical research in population ecology), Vladivostok: Dal'nevost. Otd. Akad. Nauk SSSR, 1988, pp. 94-103.
54. Beverton, R.J.H., Notes on the use of theoretical models in the study of the dynamics of exploited fish populations, Marine Fisheries Section. American Fisheries Society. Special Publication 1, Beaufort, 1994.
55. Hunter, J.G., Survival and production of pink and chum salmon in a coastal stream, J. Fish. Res. Board Can., 1959, vol. 16, no. 6, pp. 835-886. doi 10.1139/f59-061
56. Kaev, A.M., Antonov, A.A., Chupakhin, V.M., and Rudnev V.A., Possible causes and effects of shifts in trends of abundance in pink salmon of Southern Sakhalin and Iturup Islands, Bull. NPAFC, 2007, no. 4, pp. 23-33.
57. Neave, F., Principles affecting the size of pink and chum salmon populations in British Columbia, J. Fish. Res. Board Can., 1953, vol. 9, no. 9, pp. 450-491. doi 10.1139/F52-023
58. Paulik, G.J., Studies of possible form of the stock-recruitment curve, Rapp. P.-v. Reun. Cons. Perm. Int. Explor. Mer., 1973, vol. 164, pp. 302-315.
59. Ricker, W.E., Regulation of the abundance of pink salmon populations, in H.R. MacMillan lectures in fisheries, symposium on pink salmon, ed. Wilimovsky, N.J., Vancouver, Canada: Institute of Fisheries, University of British Columbia, 1962, pp. 155-201.
60. Wickett, W.P., Review of certain environmental factors affecting the production of pink and chum salmon, J. Fish. Res. Board Can., 1958, vol. 15(5), pp. 1103-1126. doi 10.1139/f58-058
Review
For citations:
Ostrovsky V.I. Methodological aspects of the stock-recruitment curve analysis. Izvestiya TINRO. 2021;201(1):219-259. (In Russ.) https://doi.org/10.26428/1606-9919-2021-201-219-259