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Terentiev D.A., Vinnikov A.V., Tepnin O.B. 2004. Forecasting the value of fishing stock of Pacific cod Gadus macrocephalus Tilesius, 1810 (Gadidae) in the northwestern Bering Sea on the base of its relation with abiotic factors. Izvestiya TINRO. Vol. 137. — P. 292-300 [In Russian]

Authors:

Abstract

The influence of different abiotic factors on formation of generations of Pacific cod in the northwestern Bering Sea since 1970s to 2001 is analyzed. For this purpose, VPA was used as the method of estimation of total and fishing stock and value of recruitment of Pacific cod in the region. The abiotic factors belonged to three conditional groups: “space”, “atmospheric” and “oceanographic” were described by various quantitative parameters. The fishing stock had considerable interannual fluctuations; its level is determined by productivity of certain generations. The main factor determining a long-term dynamics of the fishing stock was solar activity (described by Wolf numbers), the other factors had lesser influence. A close connection of the fishing stock with abiotic factors was revealed and explained by multiple regression that allows to forecast the stock with the 4 years forecast-time interval and to receive the value of recruitment of Pacific cod with the same forecast-time interval. An increase of the Pacific cod stock is expected in the nearest future, and the expected value of recruitment has to exceed the average long-term level.
292
Èçâåñòèÿ ÒÈÍÐÎ
2004 Òîì 137
ÓÄÊ 639.223.3.055(265.51)
Ä.À.Òåðåíòüåâ, À.Â.Âèííèêîâ, Î.Á.Òåïíèí
(Êàì÷àòÍÈÐÎ, ã. Ïåòðîïàâëîâñê-Êàì÷àòñêèé)
ÏÐÎÃÍÎÇÈÐÎÂÀÍÈÅ ÂÅËÈ×ÈÍÛ ÏÐÎÌÇÀÏÀÑÀ
ÒÈÕÎÎÊÅÀÍÑÊÎÉ ÒÐÅÑÊÈ GADUS MACROCEPHALUS
TILESIUS, 1810 (GADIDAE) ÑÅÂÅÐÎ-ÇÀÏÀÄÍÎÉ ×ÀÑÒÈ
ÁÅÐÈÍÃÎÂÀ ÌÎÐß ÍÀ ÎÑÍÎÂÅ ÅÃÎ ÑÂßÇÈ
Ñ ÀÁÈÎÒÈ×ÅÑÊÈÌÈ ÔÀÊÒÎÐÀÌÈ
Ðàññìàòðèâàåòñÿ âëèÿíèå òðåõ ãðóïï àáèîòè÷åñêèõ ôàêòîðîâ, óñëîâíî ðàçäå-
ëåííûõ ïî õàðàêòåðó ïðîèñõîæäåíèÿ íà àòìîñôåðíûå, êîñìè÷åñêèå è îêåà-
íîëîãè÷åñêèå, íà äèíàìèêó ÷èñëåííîñòè òèõîîêåàíñêîé òðåñêè ñåâåðî-çàïàäíîé
÷àñòè Áåðèíãîâà ìîðÿ.  ðåçóëüòàòå ïðîâåäåííîãî ìíîæåñòâåííîãî êîððåëÿöèîí-
íîãî àíàëèçà ïîëó÷åíû äîñòîâåðíûå óðàâíåíèÿ ðåãðåññèè, ïîçâîëÿþùèå ïðîãíî-
çèðîâàòü èçìåíåíèÿ áèîìàññû ïðîìûñëîâîãî çàïàñà òðåñêè ñåâåðî-çàïàäíîé ÷àñ-
òè Áåðèíãîâà ìîðÿ ñ çàáëàãîâðåìåííîñòüþ â ÷åòûðå ãîäà. Ñäåëàíî ïðåäïîëîæå-
íèå î òîì, ÷òî â íàñòîÿùåå âðåìÿ â äàííîì ðàéîíå íàìå÷àåòñÿ ðîñò çàïàñîâ
òðåñêè. Ïðè ñîõðàíåíèè èíòåíñèâíîñòè ïðîìûñëà íà óðîâíå 19992001 ãã. áèî-
ìàññà ïðîìûñëîâîãî çàïàñà òðåñêè â áëèæàéøèå ãîäû áóäåò íàõîäèòüñÿ íà óðîâ-
íå 150200 òûñ. ò, è ïðè ýòîì îæèäàåìàÿ âåëè÷èíà åãî ïîïîëíåíèÿ äîëæíà ïðåâû-
øàòü ñðåäíåìíîãîëåòíèé óðîâåíü.
Terentiev D.A., Vinnikov A.V., Tepnin O.B. Forecasting the value of fish-
ing stock of Pacific cod Gadus macrocephalus Tilesius, 1810 (Gadidae) in the north-
western Bering Sea on the base of its relation with abiotic factors // Izv. TINRO. 
2004.  Vol. 137.  P. 292300.
The influence of different abiotic factors on formation of generations of Pacific
cod in the northwestern Bering Sea since 1970s to 2001 is analyzed. For this purpose,
VPA was used as the method of estimation of total and fishing stock and value of
recruitment of Pacific cod in the region. The abiotic factors belonged to three conditional
groups: space, atmospheric and oceanographic were described by various
quantitative parameters. The fishing stock had considerable interannual fluctuations;
its level is determined by productivity of certain generations. The main factor
determining a long-term dynamics of the fishing stock was solar activity (described
by Wolf numbers), the other factors had lesser influence. A close connection of the
the fishing stock with abiotic factors was revealed and explained by multiple regression
that allows to forecast the stock with the 4 years forecast-time interval and to receive
the value of recruitment of Pacific cod with the same forecast-time interval. An
increase of the Pacific cod stock is expected in the nearest future, and the expected
value of recruitment has to exceed the average long-term level.
Òèõîîêåàíñêàÿ òðåñêà Gadus macrocephalus Tilesius, 1810 (Gadidae) òè-
ïè÷íûé îáèòàòåëü øåëüôîâîé çîíû ñåâåðíîé ÷àñòè Òèõîãî îêåàíà. Ìàêñèìàëü-
íàÿ å¸ ÷èñëåííîñòü õàðàêòåðíà äëÿ ïîïóëÿöèé, îáèòàþùèõ â áîðåàëüíûõ ðàéî-
íàõ ó ïîáåðåæèé Êàì÷àòêè è â Áåðèíãîâîì ìîðå (Àíäðèÿøåâ, 1935, 1937;
293
Âåðøèíèí, 1981, 1987). Îñîáåííîñòè áèîëîãèè òðåñêè: îòíîñèòåëüíî êîðîòêèé
æèçíåííûé öèêë, à ñëåäîâàòåëüíî, íåáîëüøîå ÷èñëî ãîäîâûõ êëàññîâ, åæåãîäíî
ñîñòàâëÿþùèõ îñíîâó ïðîìûñëîâîãî çàïàñà; çíà÷èòåëüíûå ôëþêòóàöèè ÷èñëåí-
íîñòè ïîêîëåíèé è äð.  îïðåäåëÿþò íåñòàáèëüíîñòü çàïàñà è åãî óÿçâèìîñòü â
îòíîøåíèè íåáëàãîïðèÿòíûõ èçìåíåíèé âíåøíåé ñðåäû è ðåæèìà ïðîìûñëîâîé
ýêñïëóàòàöèè (Âåðøèíèí, 1976, 1981, 1984, 1987; Ñàâèí, 2001).
Ñ ñåðåäèíû 1960-õ ãã. â ñåâåðî-çàïàäíîé ÷àñòè Áåðèíãîâà ìîðÿ (íûíå Çà-
ïàäíî-Áåðèíãîâîìîðñêàÿ ðûáîïðîìûñëîâàÿ çîíà) íà÷àë ðàçâèâàòüñÿ òðàëîâûé, à
ïîçäíåå è ñíþððåâîäíûé ïðîìûñåë òðåñêè. Ñòðåìèòåëüíûé ðîñò èíòåíñèâíîñòè
ïðîìûñëà íà íà÷àëüíîì ýòàïå îáóñëîâèëè îòíîñèòåëüíî íåáîëüøàÿ ïëîùàäü ó÷àñ-
òêîâ ïëîòíûõ êîíöåíòðàöèé òðåñêè, õîðîøèå ãðóíòû, à òàêæå ñòàáèëüíî âûñî-
êèå óëîâû íà óñèëèå.  1971 ã. âûëîâ äîñòèã èñòîðè÷åñêîãî ìàêñèìóìà
91,6 òûñ. ò, íî â äàëüíåéøåì ñòàë ðåçêî ñíèæàòüñÿ, è ê êîíöó 70-õ ãã. ïðîøëîãî
ñòîëåòèÿ òðåñêó äîáûâàëè òîëüêî â êà÷åñòâå ñîñòàâëÿþùåé ïðèëîâà ê ìèíòàþ.
 èçìåíåíèè âûëîâà â ïîñëåäóþùèå ãîäû è äî íàñòîÿùåãî âðåìåíè íàáëþäàåò-
ñÿ òåíäåíöèÿ, êîãäà âûñîêèå ãîäîâûå óëîâû ñîîòâåòñòâóþò ïåðèîäàì ðîñòà óðîâ-
íÿ çàïàñà òðåñêè ýòîãî ðàéîíà (ðèñ. 1).
Ðèñ. 1. Äèíàìèêà âûëîâà òðåñêè Çàïàäíî-Áåðèíãîâîìîðñêîé çîíû â 19682001 ãã.
Fig. 1. Dynamics of Pacific Cod catches in the Western-Bering zone in 19682001
Ñ 70-õ ãã. XX ñòîëåòèÿ â Êàì÷àòÍÈÐÎ ðàçðàáàòûâàëè ìåòîäèêè ðàñ÷åòà
÷èñëåííîñòè ïîêîëåíèé çàïàäíîáåðèíãîâîìîðñêîé òðåñêè. Ïðè ñîïîñòàâëåíèè
÷èñëåííîñòè ïîêîëåíèé çàïàäíîáåðèíãîâîìîðñêîé òðåñêè 19621976 ãîäîâ ðîæ-
äåíèÿ ïî äàííûì ïðîìûñëîâîãî âîçâðàòà ñ ëåäîâèòîñòüþ Áåðèíãîâà ìîðÿ íà
ïåðâóþ äåêàäó àïðåëÿ (âðåìÿ ìàññîâîãî íåðåñòà òðåñêè â äàííîì ðàéîíå) Â.Ã.Âåð-
øèíèíûì (1983, 1984, 1987) áûëà îáíàðóæåíà îáðàòíî ïðîïîðöèîíàëüíàÿ ñâÿçü è
ïðåäëîæåíà ìåòîäèêà ðàñ÷åòà ÷èñëåííîñòè ïîêîëåíèé òðåñêè ïî ëåäîâèòîñòè
Áåðèíãîâà ìîðÿ. Îäíàêî ðåçóëüòàòû äðóãèõ ðàáîò, ïðîâîäèâøèõñÿ â ýòîì íà-
ïðàâëåíèè, òàê è îñòàëèñü íåîïóáëèêîâàííûìè.
 ñâÿçè ñ ýòèì öåëüþ íàñòîÿùåãî ñîîáùåíèÿ ÿâëÿþòñÿ îáîáùåíèå ïîëó-
÷åííûõ â 19701990-õ ãã. ðåçóëüòàòîâ èññëåäîâàíèé è àíàëèç âëèÿíèÿ ðàçëè÷-
íûõ àáèîòè÷åñêèõ ôàêòîðîâ íà ôîðìèðîâàíèå ÷èñëåííîñòè ïîêîëåíèé çàïàäíî-
294
áåðèíãîâîìîðñêîé òðåñêè ñ èñïîëüçîâàíèåì ñîâðåìåííûõ äàííûõ, âûÿñíåíèå
âîçìîæíîñòè ïðîãíîçèðîâàíèÿ çàïàñîâ ýòîãî îáúåêòà íà äîëãîñðî÷íóþ ïåðñïåê-
òèâó íà îñíîâå âûÿâëåííûõ çàêîíîìåðíîñòåé.
 êà÷åñòâå áàçîâîãî ìåòîäà äëÿ îïðåäåëåíèÿ çíà÷åíèé áèîìàññû îáùåãî è
ïðîìûñëîâîãî çàïàñà, ïîïîëíåíèÿ çàïàäíîáåðèíãîâîìîðñêîé òðåñêè áûë èñïîëü-
çîâàí âèðòóàëüíî-ïîïóëÿöèîííûé àíàëèç (ÂÏÀ) (Áàáàÿí è äð., 1984). Ðàñ÷åòû
ïðîèçâîäèëè ñ ïðèâëå÷åíèåì äàííûõ î âåëè÷èíå è ñòðóêòóðå ïðîìûñëîâûõ óëî-
âîâ çà ñîîòâåòñòâóþùèå ãîäû ñ èçìåíÿþùèìèñÿ ïî ãîäàì è âîçðàñòíûì ãðóï-
ïàì êîýôôèöèåíòàìè ïðîìûñëîâîé ñìåðòíîñòè. Êîýôôèöèåíòû åñòåñòâåííîé
ñìåðòíîñòè ðàññ÷èòûâàëè ïî ìåòîäó Ï.Â.Òþðèíà (1972). Âîçðàñò ïîëíîãî âñòóï-
ëåíèÿ â ïðîìûñåë òðåñêè ïðèíèìàëè ðàâíûì 4 ãîäàì (âîçðàñòíàÿ ãðóïïà 3+).
Ïðè àíàëèçå ðàññìîòðåí ïðîìûñëîâûé ïåðèîä ñ 1982 ïî 2001 ã.
Àáèîòè÷åñêèå ôàêòîðû ðàçíîãî ìàñøòàáà è ïðèðîäû áûëè ðàçäåëåíû íà
òðè óñëîâíûå ãðóïïû: êîñìè÷åñêóþ, àòìîñôåðíóþ è îêåàíîëîãè÷åñêóþ
(Òåðåíòüåâ è äð., 2002).
 êîñìè÷åñêóþ ãðóïïó âîøëè îñðåäíåííûå ñ íîÿáðÿ ïî ìàðò ãåîìàãíèò-
íûå èíäåêñû (òàê íàçûâàåìûå Êð-èíäåêñû) è ÷èñëà Âîëüôà.
Àòìîñôåðíóþ ãðóïïó ñîñòàâèëè: ñðåäíÿÿ àíîìàëèÿ äàâëåíèÿ â Àëåóòñ-
êîé äåïðåññèè çà ïåðèîä ñ íîÿáðÿ ïî ìàðò; çîíàëüíûå è ìåðèäèîíàëüíûå èíäåê-
ñû àòìîñôåðíîé öèðêóëÿöèè Êàöà (Çàî÷íûé, 1986).
Ê îêåàíîëîãè÷åñêîé ãðóïïå îòíåñåíû: ñðåäíÿÿ ïëîùàäü ëåäîâîãî ïîêðîâà
â Áåðèíãîâîì ìîðå â àïðåëå (êì2); ñóììàðíàÿ ëåäîâèòîñòü Îõîòñêîãî ìîðÿ ñ
ÿíâàðÿ ïî àïðåëü; òåïëîñîäåðæàíèå ñëîÿ 20200 ì íà ñòàíäàðòíîì Àâà÷èíñêîì
ðàçðåçå (Òåïíèí, 2002).
Âñå âûøåóêàçàííûå ãðóïïû àáèîòè÷åñêèõ ôàêòîðîâ ïðÿìî èëè îïîñðåäî-
âàííî îêàçûâàþò âëèÿíèå íà áèîëîãè÷åñêèå îáúåêòû, îáèòàþùèå â ìîðÿõ Äàëü-
íåãî Âîñòîêà, ÷åðåç èçìåíåíèå ãèäðîëîãè÷åñêîãî ðåæèìà âîäíûõ ìàññ (Æóêèíñ-
êèé, 1974; Áîðåö, 1997; Øóíòîâ è äð., 1998; Òåðåíòüåâ è äð., 2002).
Äëÿ îöåíêè çàïàñîâ òðåñêè ñåâåðî-çàïàäíîé ÷àñòè Áåðèíãîâà ìîðÿ è ïðî-
ãíîçèðîâàíèÿ îáùåãî äîïóñòèìîãî óëîâà (ÎÄÓ) ñ äâóõãîäè÷íîé çàáëàãîâðåìåí-
íîñòüþ íàðÿäó ñ ïðÿìûì ó÷åòîì (ðåçóëüòàòû ó÷åòíûõ äîííûõ òðàëîâûõ ñúå-
ìîê) èñïîëüçóþòñÿ ìåòîäû ìàòåìàòè÷åñêîãî ìîäåëèðîâàíèÿ è ïðîãíîñòè÷åñêèå
óðàâíåíèÿ, îïèñûâàþùèå çàâèñèìîñòü çàïàñà òðåñêè îò èçìåíåíèÿ ðàçëè÷íûõ
àáèîòè÷åñêèõ ôàêòîðîâ.
Íàó÷íî-èññëåäîâàòåëüñêèå ðàáîòû (ðåçóëüòàòû êîòîðûõ, ê ñîæàëåíèþ, îñ-
òàëèñü áîëüøåé ÷àñòüþ íåîïóáëèêîâàííûìè), ïðîâåäåííûå ñîòðóäíèêàìè ÊîÒÈÍ-
ÐÎ (íûíå Êàì÷àòÍÈÐÎ) Â.Ã.Âåðøèíèíûì, Î.È.Ðóäîìèëîâûì, À.Ì.Òîêðàíîâûì
è äð. â 19701990 ãã., ïîêàçàëè òåñíóþ ñâÿçü ìåæäó ëåäîâèòîñòüþ Áåðèíãîâà
ìîðÿ, êîëè÷åñòâîì ðîäèòåëåé è ÷èñëåííîñòüþ ïîêîëåíèé çàïàäíîáåðèíãîâîìîð-
ñêîé òðåñêè â 3 è 4-ãîäîâàëîì âîçðàñòå. Áûëî óñòàíîâëåíî, ÷òî îòñóòñòâèå ó
òèõîîêåàíñêîé òðåñêè ñâÿçè ìåæäó ÷èñëåííîñòüþ ðîäèòåëüñêîãî ñòàäà è óðî-
æàéíîñòüþ ïîòîìñòâà, îòìå÷åííîå íåñêîëüêî ïîçäíåå Ë.À.Áîðöîì (1997), ñïðà-
âåäëèâî ëèøü ïðè ñðåäíåì è âûñîêîì óðîâíå åå çàïàñîâ. Ïðè åãî íèçêîì çíà÷å-
íèè, ò.å. ïðè äåôèöèòå ïðîèçâîäèòåëåé, ó òðåñêè, êàê è ìíîãèõ äðóãèõ âèäîâ ðûá,
íàáëþäàåòñÿ ïðÿìàÿ çàâèñèìîñòü ÷èñëåííîñòè ïîòîìñòâà îò âåëè÷èíû ðîäèòåëü-
ñêîãî ñòàäà. À.Ì.Òîêðàíîâûì (íåîïóáëèêîâàííûå äàííûå) áûëî ïîêàçàíî, ÷òî
äëÿ ïåðèîäà 19771988 ãã. ìåæäó àáñîëþòíûìè çíà÷åíèÿìè ÷èñëåííîñòè ãîäî-
âèêîâ è çðåëûõ ñàìîê âîñòî÷íîêàì÷àòñêîé òðåñêè â ïðåäûäóùåì ãîäó îòìå÷à-
ëàñü äîñòàòî÷íî ñèëüíàÿ ïðÿìàÿ ñâÿçü (r = 0,79), êîòîðàÿ óäîâëåòâîðèòåëüíî
îïèñûâàëàñü óðàâíåíèåì:
Y = X/(0,0079 + 0,0036X),
ãäå Y ÷èñëåííîñòü ãîäîâèêîâ â ãîä èññëåäîâàíèÿ, ìëí øò.; X ÷èñëåííîñòü
çðåëûõ ñàìîê â ïðåäûäóùåì ãîäó, ìëí øò. Ïðè íèçêîì óðîâíå çàïàñà, êîòîðûé
295
íàáëþäàëñÿ â 19771981 ãã. ó òðåñêè ýòîãî ðàéîíà, êîëè÷åñòâî ãîäîâèêîâ â
çíà÷èòåëüíîé ñòåïåíè çàâèñåëî îò ÷èñëà çðåëûõ ñàìîê (r = 0,91). Íî ïðè äîñòè-
æåíèè ïîñëåäíèìè âåëè÷èíû â 810 ìëí øò. è áîëåå ñðåäíèé óðîâåíü ÷èñëåí-
íîñòè ãîäîâèêîâ èçìåíÿëñÿ êðàéíå íåçíà÷èòåëüíî. Ñâÿçü æå ÷èñëà çðåëûõ ñà-
ìîê è îòíîñèòåëüíîé ÷èñëåííîñòè ãîäîâèêîâ (äîëÿ ðûá, äîñòèãøèõ ãîäîâàëîãî
âîçðàñòà, èç îáùåãî êîëè÷åñòâà ïðîäóöèðóåìîé èêðû) èìåëà îáðàòíóþ íàïðàâ-
ëåííîñòü (r = 0,93) è îïèñûâàëàñü óðàâíåíèåì:
Y = 0,4245 + 5,1565/X,
ãäå Y îòíîñèòåëüíàÿ ÷èñëåííîñòü ãîäîâèêîâ â ãîä èññëåäîâàíèÿ, % . 103; X
÷èñëåííîñòü çðåëûõ ñàìîê â ïðåäûäóùåì ãîäó, ìëí øò. Ïîâûøåííàÿ âûæèâàå-
ìîñòü ïîòîìñòâà â ýòîì ñëó÷àå îòìå÷àåòñÿ ïðè íèçêîì óðîâíå ÷èñëåííîñòè
ïðîèçâîäèòåëåé çðåëûõ ñàìîê, à ïðè èõ ÷èñëåííîñòè â 810 ìëí øò. è
âûøå ýòîò ïîêàçàòåëü ïðàêòè÷åñêè íå èçìåíÿåòñÿ.
Êðîìå ïðîãíîñòè÷åñêèõ óðàâíåíèé, îïèñûâàþùèõ ñâÿçü ìåæäó ÷èñëåííîñ-
òüþ ðîäèòåëüñêîãî ñòàäà è óðîæàéíîñòüþ ïîòîìñòâà, ðàññìàòðèâàëàñü ñâÿçü ÷èñ-
ëåííîñòè ïîïîëíåíèÿ (3-ãîäîâèêîâ) òðåñêè è êëèìàòîîáðàçóþùèõ ïðîöåññîâ.
Îñíîâûâàÿñü íà äàííûõ ïî ïðîìûñëîâîìó âîçâðàòó ÷èñëåííîñòè ïîêîëåíèé òðåñêè
âîñòî÷íîé Êàì÷àòêè â 19441963 ãã. è äàííûõ ïî àêòèâíîñòè ñîëíå÷íûõ ïðî-
öåññîâ, Î.È.Ðóäîìèëîâ ñ êîëëåãàìè (íåîïóáëèêîâàííûå äàííûå) ðàññ÷èòàëè óðàâ-
íåíèå ëèíåéíîé ðåãðåññèè:
Y = 0,0855 X + 7,14,
ãäå Y ÷èñëåííîñòü ïîêîëåíèé, ìëí ðûá; X ÷èñëà Âîëüôà.
Êàê óæå îòìå÷àëîñü âûøå, ó òðåñêè óðîâåíü ïîïîëíåíèÿ ïðîìçàïàñà îïðåäå-
ëÿåòñÿ ÷èñëåííîñòüþ âñòóïàþùèõ â ïðîìûñåë ïîêîëåíèé. Ïðè ñðàâíåíèè ãîäî-
âûõ óëîâîâ (Y) çàïàäíîáåðèíãîâîìîðñêîé òðåñêè â 19601970-õ ãã. (çàâèñÿùèõ
îò âåëè÷èíû ïîïîëíåíèÿ) è ÷èñëåííîñòè ïîêîëåíèé (X) ïî ïðîìûñëîâîìó âîç-
âðàòó ñ ïðèìåíåíèåì 4-ëåòíåãî ëàãà, ðàâíîãî âîçðàñòó ïîëíîãî âñòóïëåíèÿ òðåñ-
êè â ïðîìûñåë, Â.Ã.Âåðøèíèí (íåîïóáëèêîâàííûå äàííûå) ïîëó÷èë âûñîêèå
ïîëîæèòåëüíûå êîýôôèöèåíòû êîððåëÿöèè, õàðàêòåðèçóþùèå ñâÿçü ìåæäó íèìè
(r = 0,91).  äàëüíåéøåì èì áûëè ðàññ÷èòàíû óðàâíåíèÿ ðåãðåññèè îòäåëüíî
äëÿ óðîæàéíûõ:
Y = 83,429 1,925 X,
è ìàëî÷èñëåííûõ ïîêîëåíèé:
Y = 11,280 0,257 X.
Àíàëèç äèíàìèêè âîçðàñòíîãî ñîñòàâà çàïàäíîáåðèíãîâîìîðñêîé òðåñêè çà
ýòîò ïåðèîä âûÿâèë, ÷òî ïîêîëåíèÿ ïîâûøåííîé ÷èñëåííîñòè óäàåòñÿ ïðîñëåäèòü
ñ 2-ãîäîâàëîãî âîçðàñòà ïî ïðîìûñëîâîìó âîçâðàòó è ðåçóëüòàòàì ó÷åòíûõ
äîííûõ òðàëîâûõ ñúåìîê. Ñîïîñòàâëåíèå ÷èñëåííîñòè ïîêîëåíèé ïî ïðîìûñëî-
âîìó âîçâðàòó ñ èíäåêñàìè ÷èñëåííîñòè ýòèõ ïîêîëåíèé â óëîâàõ íà åäèíèöó
ïðîìûñëîâîãî óñèëèÿ (óëîâ íà ñòàíäàðòíîå òðàëåíèå èëè çàìåò) â 2-ãîäîâàëîì
âîçðàñòå ïîêàçàëî òåñíóþ ïîëîæèòåëüíóþ ñâÿçü r = 0,81. Óëîâû äâóõãîäî-
âèêîâ áûëè ïðèíÿòû çà ïîêàçàòåëü âûæèâàåìîñòè òðåñêè â ïåðâûå 2 ãîäà æèç-
íè. Ìíîæåñòâåííàÿ êîððåëÿöèÿ ìåæäó ÷èñëåííîñòüþ ïîêîëåíèé ïî ïðîìûñëî-
âîìó âîçâðàòó (Y), ëåäîâèòîñòüþ Áåðèíãîâà ìîðÿ (X) è óëîâàìè äâóõãîäîâèêîâ
íà óñèëèå (Z) áûëà îïèñàíà óðàâíåíèåì ðåãðåññèè:
Y = 0,135 X + 0,375 Z 7,05,
è çàôèêñèðîâàëà äîñòàòî÷íî âûñîêîå çíà÷åíèå ñòàòèñòè÷åñêè çíà÷èìîãî êîýô-
ôèöèåíòà êîððåëÿöèè, õàðàêòåðèçóþùåãî ñâÿçü ìåæäó ýòèìè ïîêàçàòåëÿìè,
r = 0,94. Îäíàêî äàííûå î âåëè÷èíå âûëîâà äâóõãîäîâèêîâ íà ïðîìóñèëèå â
áîëüøèíñòâå ñëó÷àåâ îòñóòñòâóþò, ïîýòîìó ïîëó÷åííûå óðàâíåíèÿ ðåãðåññèè íå
íàøëè ïðàêòè÷åñêîãî ïðèìåíåíèÿ.
Ïðè àíàëèçå ñîâðåìåííûõ äàííûõ íàìè ïðåæäå âñåãî áûëà ðàññìîòðåíà
âîçìîæíàÿ ñâÿçü ìåæäó ïîïîëíåíèåì è ïðîìçàïàñîì ñîãëàñíî ðåêîìåíäàöèÿì,
296
ïðèâåäåííûì â ðàáîòå Ð.Õèëáîðíà è Ê.Óîëòåðñà (2001). Âûÿñíåíî, ÷òî äëÿ òðåñ-
êè íà 3 è 4-ì ãîäàõ æèçíè ïîäîáíàÿ ñâÿçü îïèñûâàåòñÿ óðàâíåíèÿìè ðåãðåññèè:
Y3 = 0,468079 X exp(0,0034035 X), r = 0,57;
Y4 = 0,2913392 X exp(0,0010996 X), r = 0,77,
ãäå Y3 è Y4 áèîìàññà 3 è 4-ãîäîâèêîâ, X áèîìàññà ïðîìçàïàñà.
 äàëüíåéøåì ìû ïðîâåëè îöåíêó âëèÿíèÿ àáèîòè÷åñêèõ ôàêòîðîâ íà ôîð-
ìèðîâàíèå áèîìàññû òðåñêè ñåâåðî-çàïàäíîé ÷àñòè Áåðèíãîâà ìîðÿ. Áûñòðûé
íà÷àëüíûé ðîñò òðåñêè îïðåäåëÿåò åå ðàíåå âñòóïëåíèå â ïðîìûñåë â 23
ãîäà. Íà âòîðîì ãîäó æèçíè îíà äîñòèãàåò äëèíû 3035 ñì è â îòäåëüíûå ãîäû
áûâàåò ñóùåñòâåííî ïðåäñòàâëåíà â ïðîìûñëîâûõ óëîâàõ. Îòíîñèòåëüíî êîðîò-
êèé æèçíåííûé öèêë (ïðåäåëüíûé âîçðàñò 1213 ëåò), âûñîêèé òåìï ðîñòà, ìàñ-
ñîâîå ïîëîâîå ñîçðåâàíèå â âîçðàñòå 56 ëåò è äð. îáóñëîâëèâàþò òîò ôàêò, ÷òî
óæå â âîçðàñòå 7 ëåò òðåñêà ñîñòàâëÿåò îáû÷íî íå áîëåå 12 % òðàëîâî-ñíþð-
ðåâîäíûõ óëîâîâ.
Ïåðå÷èñëåííûå ïðèçíàêè õàðàêòåðíû äëÿ âûñîêîãî òåìïà îáíîâëåíèÿ ïðî-
ìûñëîâîé ÷àñòè ïîïóëÿöèè. Î ñíîâíóþ ðîëü â ïðîìûñëå èãðàåò ïîïîëíåíèå, âñëåä-
ñòâèå ÷åãî ïðîìûñëîâûé çàïàñ èñïûòûâàåò çíà÷èòåëüíûå ìåæãîäîâûå ôëþêòóà-
öèè, à åãî óðîâåíü îïðåäåëÿåòñÿ óðîæàéíîñòüþ îòäåëüíûõ ïîêîëåíèé.
Àíàëèç ñâÿçè ÷èñëåííîñòè ïîêîëåíèé ñ èññëåäóåìûìè àáèîòè÷åñêèìè ôàê-
òîðàìè ïîêàçàë íàëè÷èå çàâèñèìîñòåé ìåæäó ýòèìè ïîêàçàòåëÿìè ñ ëàãîì â 4
ãîäà (ñì. òàáëèöó).
Êîýôôèöèåíòû êîððåëÿöèè è ïðîãíîñòè÷åñêèå óðàâíåíèÿ ñâÿçè âåëè÷èíû ïðîìçàïàñà
è áèîìàññû çàïàäíîáåðèíãîâîìîðñêîé òðåñêè ñ àáèîòè÷åñêèìè ôàêòîðàìè
Correlation coefficients and prognostic coupling equations of value of fishing stock
and biomass of Pacific cod in the north-western of Bering Sea with abiotic factors
Ñâÿçü Óðàâíåíèå Êîýôôèöèåíò
êîððåëÿöèè
Ïðîìçàïàñ ïëîùàäü ëåäîâîãî ïîêðîâà
â Áåðèíãîâîì ìîðå â àïðåëå Y = 373,28 0,0003 X r = 0,62
Ïðîìçàïàñ ñðåäíÿÿ ëåäîâèòîñòü
â Îõîòñêîì ìîðå â ôåâðàëåìàðòå Y = 89,37 + 3,6425 X r = 0,81
Ïðîìçàïàñ ñóììàðíàÿ ëåäîâèòîñòü
Îõîòñêîãî ìîðÿ Y = 64,56 + 0,04703 X r = 0,77
Ïðîìçàïàñ ñóììàðíàÿ ëåäîâèòîñòü
Îõîòñêîãî ìîðÿ â ÿíâàðåàïðåëå Y = 68,07 + 0,32202 X r = 0,83
Ïðîìçàïàñ ÷èñëà Âîëüôà Y = 105,37 + 0,70998 X r = 0,61
Áèîìàññà ñðåäíÿÿ ëåäîâèòîñòü
â Îõîòñêîì ìîðå â ôåâðàëåìàðòå Y = 66,602 + 4,8036 X r = 0,65
Áèîìàññà ñóììàðíàÿ ëåäîâèòîñòü
Îõîòñêîãî ìîðÿ â ÿíâàðåàïðåëå Y = 98,113 + 0,4199 X r = 0,66
Áèîìàññà ñóììàðíàÿ ëåäîâèòîñòü
Îõîòñêîãî ìîðÿ Y = 100,16 + 0,05356 X r = 0,62
Îòìåòèì, ÷òî, â îòëè÷èå îò îáðàòíîé ñâÿçè ñ ëåäîâèòîñòüþ â Áåðèíãîâîì
ìîðå, ñóùåñòâóåò ïðÿìàÿ çàâèñèìîñòü ñ ýòèì ôàêòîðîì â Îõîòñêîì ìîðå. Ïî
ïðè÷èíå îòñóòñòâèÿ äàííûõ î ëåäîâèòîñòè Áåðèíãîâà ìîðÿ â ïîñëåäíèå ãîäû, â
äàëüíåéøåì àíàëèçå ìû èñïîëüçîâàëè äàííûå ïî Îõîòñêîìó ìîðþ.
Ïîëó÷åííûå ïðîãíîñòè÷åñêèå óðàâíåíèÿ ãðàôè÷åñêè ïðåäñòàâëåíû íà ðèñ.
2 è 3. Ïî íàøåìó ìíåíèþ, ôàêòîðîì, îïðåäåëÿþùèì ìíîãîëåòíþþ äèíàìèêó
ïðîìûñëîâîãî çàïàñà, ÿâëÿåòñÿ ñîëíå÷íàÿ àêòèâíîñòü (÷èñëà Âîëüôà) îáùèé
êëèìàòîîáðàçóþùèé ôàêòîð. Çàòåì íà ýòó òåíäåíöèþ îêàçûâàþò âëèÿíèå äðó-
ãèå ôàêòîðû, áîëåå ìåñòíîãî õàðàêòåðà, íàïðèìåð ëåäîâèòîñòü.
Íà ñëåäóþùåì ýòàïå èññëåäîâàíèé ìû ïðîâåëè ìíîæåñòâåííûé ðåãðåññè-
îííûé àíàëèç ñ òåìè ôàêòîðàìè, äëÿ êîòîðûõ óæå óñòàíîâëåíà ñâÿçü ñ âåëè÷è-
297
Ðèñ. 2. Äèíàìèêà ïðîìûñëîâîãî çàïàñà òðåñêè Çàïàäíî-Áåðèíãîâîìîðñêîé çîíû,
ðàññ÷èòàííàÿ ìåòîäîì ÂÏÀ è íåñêîëüêèìè ïðîãíîñòè÷åñêèìè óðàâíåíèÿìè
Fig. 2. Dynamics of Pacific Cod fishery stock in the Western-Bering zone was calcu-
lated with VPA method and several forecast equations
Ðèñ. 3. Äèíàìèêà îáùåé áèîìàññû òðåñêè Çàïàäíî-Áåðèíãîâîìîðñêîé çîíû, ðàñ-
ñ÷èòàííàÿ ìåòîäîì ÂÏÀ è íåñêîëüêèìè ïðîãíîñòè÷åñêèìè óðàâíåíèÿìè
Fig. 3. Dynamics of Pacific Cod total biomass in the Western-Bering zone was calcu-
lated with VPA method and several forecast equations
Òûñ. ò
Òûñ. ò
298
íîé ïðîìçàïàñà òðåñêè. Êàæäîå èç ïîëó÷åííûõ óðàâíåíèé ðåãðåññèè âêëþ÷àåò
äâà íåçàâèñèìûõ ïðåäèêòîðà èç óêàçàííûõ: ÷èñëà Âîëüôà (Õ1), ñóììàðíàÿ îá-
ùàÿ ëåäîâèòîñòü Îõîòñêîãî ìîðÿ (Õ2), ñóììàðíàÿ ëåäîâèòîñòü Îõîòñêîãî ìîðÿ â
ÿíâàðåàïðåëå (Õ3),  è ïîçâîëÿåò ïðîãíîçèðîâàòü ïðîìçàïàñ òðåñêè (Y) ñ 4-
ëåòíåé çàáëàãîâðåìåííîñòüþ (ðèñ. 4):
Y = 0,452555 X1 + 0,033645 X2  61,4206;
Y = 0,382929 X1 + 0,271027 X3  62,3016.
Äëÿ âûøåïðèâåäåííûõ óðàâíåíèé êîýôôèöèåíò êîððåëÿöèè ñîñòàâèë ñîîò-
âåòñòâåííî 0,86 è 0,89.
Ðèñ. 4. Äèíàìèêà ïðîìûñëîâîãî çàïàñà òðåñêè Çàïàäíî-Áåðèíãîâîìîðñêîé çîíû,
ðàññ÷èòàííàÿ ìåòîäîì ÂÏÀ è ïðîãíîñòè÷åñêèìè óðàâíåíèÿìè, âêëþ÷àþùèìè â ñåáÿ
äâà íåçàâèñèìûõ ïðåäèêòîðà
Fig. 4. Dynamics of Pacific Cod fishery stock in the Western-Bering zone was calcu-
lated with VPA method and forecast equations which ones inclusive two independent abiot-
ic factors
Ïîëó÷åííûå çàâèñèìîñòè ïîçâîëÿþò íå òîëüêî ïðîãíîçèðîâàòü èçìåíåíèÿ
ïðîìûñëîâîãî çàïàñà òðåñêè ñ ëàãîì â 4 ãîäà, íî è ïîëó÷èòü âåëè÷èíó ïîïîëíå-
íèÿ òðåñêè ñ òàêîé æå çàáëàãîâðåìåííîñòüþ ïóòåì èõ ïîäñòàíîâêè â ïîëó÷åí-
íîå ðàíåå óðàâíåíèå ñâÿçè çàïàñïîïîëíåíèå (ðèñ. 5).
Òàêèì îáðàçîì, èñïîëüçîâàíèå óðàâíåíèé ðåãðåññèè, îòðàæàþùèõ çàâèñè-
ìîñòü âåëè÷èíû ïðîìçàïàñà è áèîìàññû îò ðÿäà àáèîòè÷åñêèõ ôàêòîðîâ, ïðåäî-
ñòàâëÿåò âîçìîæíîñòü ïðîãíîçèðîâàòü èçìåíåíèÿ çàïàñà òðåñêè ñåâåðî-çàïàäíîé
÷àñòè Áåðèíãîâà ìîðÿ ñ ëàãîì â 4 ãîäà. Àíàëèçèðóÿ ïîëó÷åííûå ðåçóëüòàòû,
ìîæíî ïðåäïîëîæèòü, ÷òî â íàñòîÿùåå âðåìÿ â äàííîì ðàéîíå íàìå÷àåòñÿ
ðîñò çàïàñîâ òðåñêè. Ïðè ñîõðàíåíèè èíòåíñèâíîñòè ïðîìûñëà íà óðîâíå 1999
2001 ãã. áèîìàññà ïðîìçàïàñà òðåñêè â áëèæàéøèå ãîäû áóäåò íàõîäèòüñÿ â
ïðåäåëàõ 150200 òûñ. ò, à îæèäàåìàÿ âåëè÷èíà ïîïîëíåíèÿ äîëæíà ïðåâûøàòü
ñðåäíåìíîãîëåòíåé óðîâåíü.
Òûñ. ò
299
Ðèñ. 5. Äèíàìèêà áèîìàññû 3-ãîäîâèêîâ òðåñêè Çàïàäíî-Áåðèíãîâîìîðñêîé çîíû,
ðàññ÷èòàííàÿ ìåòîäîì ÂÏÀ è ïî óðàâíåíèÿì ïîïîëíåíèåçàïàñ
Fig. 5. Dynamics of Pacific Cod 3 year class biomass in the Western-Bering zone was
calculated with VPA method and equations of dependence of recruitment on parent stock
Ëèòåðàòóðà
Àíäðèÿøåâ À.Ï. Ãåîãðàôè÷åñêîå ðàñïðîñòðàíåíèå ìîðñêèõ ïðîìûñëîâûõ ðûá
Áåðèíãîâà ìîðÿ è ñâÿçàííûå ñ ýòèì âîïðîñû // Èññëåä. ìîðåé ÑÑÑÐ. 1935. Âûï.
22. Ñ. 135145.
Àíäðèÿøåâ À.Ï. Ê ïîçíàíèþ èõòèîôàóíû Áåðèíãîâà è ×óêîòñêîãî ìîðåé //
Èññëåä. ìîðåé ÑÑÑÐ. 1937. Âûï. 25. Ñ. 292355.
Áàáàÿí Â.Ê., Áóëãàêîâà Ò.È., Áîðîäèí Ð.Ã., Åôèìîâ Þ.Í. Ïðèìåíåíèå ìà-
òåìàòè÷åñêèõ ìåòîäîâ è ìîäåëåé äëÿ îöåíêè çàïàñîâ ðûá: Ìåòîäè÷åñêèå ðåêîìåíäà-
öèè. Ì.: ÂÍÈÐÎ, 1984. 154 ñ.
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