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Marine Bulletin Vol. 43, Nos. 1±6, pp. 61±70, 2001 Ó 2001 Elsevier Science Ltd. All rights reserved Printed in Great Britain PII: S0025-326X400)00234-4 0025-326X/01 $ - see front matter Two Regimes of the Arctic's Circulation from Models with Ice and Contaminants

A. Y. PROSHUTINSKY* and MARK JOHNSON 1 Institute of Marine Science, University of Alaska, Fairbanks, AK 99775-7220, USA

A two-dimensional barotropic, coupled, ocean±ice model Ocean. Shokal'skii /1940), Gordienko and Karelin with a space resolution of 55.5 km and driven by atmo- /1945), and Buinitskii /1951, 1958) assumed that the spheric forces, river run-o€, and -level slope between the surface circulation in the was mainly Paci®c and the Arctic , has been used to simulate driven by the in¯ow of Atlantic water through Fram the vertically averaged currents and ice drift in the Arctic Strait, producingan excess of water in the basin and Ocean.Results from 43 years of numerical simulations of causingan out¯ow of surface water and ice alongthe water and ice motions demonstrate that two wind-driven shorter routes to the Greenland Sea. Data from vessel circulation regimes are possible in the Arctic, a cyclonic drifts in the Eurasian subbasin indicated a movement and an anti-cyclonic circulation.These two regimes appear of surface water from the Eurasin subbasin to Fram to alternate at 5±7 year intervals with the 10±15 year pe- Strait. Nansen /1902), who discovered waters of At- riod.It is important to pollution studies to understand lantic origin in the Arctic Ocean, mentioned that water which circulation regime prevails at any time.It is antici- exchange between the Arctic Ocean and the Greenland pated that 1995 is a year with a cyclonic regime, and during and Norwegian was caused by di€erences of water this cyclonic phase and possibly during past cyclonic re- temperature and salinity, e.g., he assumed a thermoh- gimes as well, may reach the Alaskan shelf.The aline circulation. These scientists believed the Arctic regime shifts demonstrated in this paper are fundamentally Ocean water and ice circulation was mainly thermoh- important to understanding the Arctic's general circulation aline in nature and closely related to the world's ocean and particularly important for estimating pollution trans- circulation. port. Ó 2001 Elsevier Science Ltd.All rights reserved. Subsequently, some authorities /Zubov and Somov, 1940; Shuleikin, 1941; Shirshov, 1944; Treshnikov, 1959) adopted a di€erent view on the nature of the water circulation, namely, that the in¯ow of Atlantic waters Introduction into the Arctic Basin was caused principally by the The variability of the general circulation of the Arctic is out¯ow of surface water to the Greenland Sea under the not as well known as it is in many other oceans. in¯uence of the existingwind system. This point of view Knowledge of the circulation is important to under- was con®rmed by experiments undertaken by Gudko- standingthe potential for pollutants and radionuclides vich and Nikiforov /1965) with a hydraulic model sim- to be carried to locations distant from a source. The ulatingthe system of wind-driven currents in the Arctic thrust of the present work is to examine the major Ocean. The experiments showed winds to be a principal forcingmechanisms that drive the Arctic's circulation, factor in formingthe system of permanent currents in and with the use of a basin scale model, identify the the Arctic Basin. The winds of the Arctic anti-cyclone relative strengths of each forcing mechanism, and the generate anti-cyclonic currents in the Amerasian sub- Arctic's response. The potential for pollutants to be basin. The wind system in the Eurasian subbasin and at dispersed depends on the total circulation comprised of the periphery of the Arctic anti-cyclone induces a wide the ¯ow resultingfrom each forcingmechanism. Trans-Arctic current originating in the and Two di€erent historical views describe factors de- emerging through Fram Strait. Simulating the in¯ow of terminingthe movement of water and ice in the Arctic water as the only factor drivingthe circulation did not produce a circulation pattern similar to that actually *Correspondingauthor /now at the Woods Hole Oceanographic observed. In accordance with this concept, Gudkovich Institute, USA). Tel.: +1-508-289-2796; fax: +1-508-457-2181. /1961a,b) explained the seasonal and year-to-year vari- E-mail addresses: [email protected] /A.Y. Proshutinsky), [email protected] /M. Johnson). ation in the circulation of surface water and ice by a 1 Tel.: +1-907-474-6933. suitable rearrangement of the baric ®elds.

61 Marine Pollution Bulletin

To con®rm Gudkovich's conclusions, a series of two- Arctic is at least the same order of magnitude or larger, dimensional numerical models were run /Fel'zenbaum, in terms of maximum observed current speeds, as the 1958; Campbell, 1965; Galt, 1973; Ponomarev and thermohaline forcing. Thus, the circulation regimes Fel'zenbaum, 1975; Proshutinsky, 1988, 1993), where presented in this study may be observable in the ocean, wind ®elds were the major factor drivingcirculation in dependingon the Arctic's linearity. the Arctic Ocean. It is interestingthat Galt /1973) found For this paper we have examined the way the circu- that in¯ow/out¯ow forcingand bottom topography lation in the Arctic responds due to the sea-level slope, both play a more important role in the circulation than the winds /derived from pressure), and the input from does wind forcing. However, in the research of Tres- rivers. We identify two wind-driven regimes, a cyclonic hnikov and Baranov /1972), it was demonstrated that and an anti-cyclonic regime, which alternate over a ten the major features of the water circulation may be ob- to ®fteen year period. When estimatingpathways that tained by means of diagnostic calculations according to pollutants may follow, it is important to distinguish density ®elds. These authors stated that `we could not between these two regimes, and identify which phase is evaluate the role of individual factors in the formation present. of currents because the observed ®eld of masses already That the position of the sea surface may serve as an contains the combined /and still indistinguishable) ef- integral index of processes of interaction between the fects of wind, baroclinicity, and bottom relief'. A similar atmosphere and the ocean was an idea ®rst stated by conclusion could be made accordingto the results of the Duvanin /1951). This result was con®rmed later by dif- diagnostic model by Ponomarev /1977). Prognostic ferent authors dependingon the problem they solved, models /Semtner, 1976) testify to the signi®cant role of e.g., `the position of the sea surface is an integral indi- the irregularity of the ®eld of mass in the formation of cator of most processes and phenomena related to the the three-dimensional water circulation. formation of the hydrological regime' /Galerkin, 1961), A series of di€erent model runs was presented by or `the only indicator of synoptic variability of hydro- Semtner /1987), Flemingand Semtner /1991), H akkinen logical conditions in arctic seas, for which correspond- and Mellor /1992), Hibler and Bryan /1986), Riedlinger ing®eld data exist, consists of the sea-level heights' and Preller /1991), Piacsek et al. /1991). All of these /Krutskikh, 1978) Year-to-year and seasonal ¯uctua- models and numerical experiments were directed to de- tions of the ocean level in this sense may be viewed as an velopingnew models and to describingbetter observed indicator of large-scale interaction between the atmo- features of water and ice dynamics without special at- sphere and ocean. In particular, the sea surface can ev- tention to the variability of the oceanographic regime of idently be used as an indicator of large-scale circulation the Arctic Ocean. Recent papers by Hakkinen /1993, of water and ice of the Arctic Ocean and as an indicator 1995) were dedicated to modelingand explain such of the regime driving pollution . We use sea phenomena as deep convection in the Greenland in our paper as an integral index to describe vari- and the Great Salinity anomaly. Her investigations ability of the Arctic Ocean circulation. demonstrated again the signi®cance of atmospheric cir- This paper is organized in the following manner. culation in the coupled ice±ocean system in the Arctic. Basic equations and boundary conditions are described In this paper we assume that the general circulation of in Model Equations and Boundary Conditions. The the Arctic can be characterized by four broad responses data base is discussed in Data Base. The model results to di€erent forcings. The response from the observed are given in Results and the ®nal section contains a sea-level slope between the North Paci®c ocean and the summary and discussion. Arctic is northward ¯ow through Bering Strait and out through Fram Strait, with the interior response yet to be clearly described. A second response is due to forcingby Model Equations and Boundary Conditions the atmospheric winds and pressure ®elds that drive We shall use a system of equations of motion and both a baroclinic and a barotropic response. In this continuity written in the vector notation and in the paper we treat the Arctic as a barotropic ¯uid. A third stereographic polar coordinate system response is due to the in¯ow from rivers. Associated dU with river in¯ow is a fourth response, the total ther- ‡ f k  U ˆÀgDmrf ‡ N m2r2U mohaline ¯ow, due to the introduction of ¯uid at a dt h boundary. cT ‡ 1 À c†T À T ‡ i s b ; 1† We have modeled the response due to sea-level slope, q winds and river input. The relative strength of the cir- of culation regimes driven by these forces can be compared ˆÀm2r U=m†; 2† by examiningthe model results. A comparison with the ot thermohaline ¯ow is possible by comparingthe results and the equations of motion and continuity for ice, of modeled thermohaline ¯ow by Proshutinsky /1988, 1993) or Polyakov /1994). Such a comparison shows dui Tis À Ti ‡ f k  ui ˆÀgmrf ‡ ‡ Fi; 3† that the mean annual wind-driven circulation in the dt qihi 62 Volume 43/Numbers 1±6/January±June 2001

oc 2 In a ®rst approximation the ice±atmosphere dragcoef- ˆÀm r uic=m†: 4† ot ®cient Ria was equal to air±water friction coecient, Ra. Here, x; y are the lateral coordinates, with their origin The interaction of ice and water is described by   at the North Pole; t is the time; f denotes free surface U U T ˆ qR u À u À : 8† elevation; U is a vector of volume transport with i i i D i D components U; V along x- and y-directions; u is a i À3 The ice±water dragcoecient Ri ˆ 5:5  10 † was vector of ice velocity; Ti is a vector of ice stress be- tween water and ice; T is a vector of ice stress between estimated by McPhee /1986). is To describe internal ice forces the nonlinear viscous atmosphere and ice; Tb is a vector of bottom stress; Ts is a vector of water stress between atmosphere and constitutive law proposed by Rothrock /1975) is taken 2 2 2 water; Fi is a vector of internal ice forces; qi is ice Fi ˆ gm r ui ‡ Km r rui†Àmrp: 9† density; q is water density; c is ice concentration, Here 0 6 c 6 1; hi is ice thickness; Nh is horizontal vis- 9 2 cosity /ˆ 5  10 cm =s); D is the total depth r rui†ˆgrad divui†: /ˆ H ‡ f); f denotes the parameter; k is unit Rothrock /1975) suggested that the tensile stress in ice vector alongvertical direction and m denotes map is negligible compared to compressive stress. Pressure coecient. /p) in /9) is given by:   d o U o V o ˆ ‡ m ‡ : p ˆÀApmrui if rui < 0; dt ot D ox D oy p ˆ 0 if ru  0: 10† In the above operator only the ®rst-order nonlinear i terms are retained. In the above formulas both bulk /K) and shear /g) vis- The stereographic polar coordinate system used in cosity coecients are taken to be equal; Ap is the ice Eqs. /1)±/4) is very close to the rectangular system of pressure coecient. coordinates. The di€erence is due to the map coecient The magnitude of the frictional coecients used in the m. It describes map correction from spherical projection above equations should result in numerical stability and to polar stereographic projection. Its value changes from reasonable reproduction of the turbulent processes in 1at90°N to 1.071 at 60°N. the water and ice. Horizontal eddy viscosity Nh The interaction of water and atmosphere is described ˆ 5  109 cm2 sÀ1 is taken close to the threshold of 8 2 À1 by numerical stability Nh ˆ 5  10 cm s /Kowalik, 1981). A variable level of the vertically generated tur- T ˆ q R WjWj; 5† s a a bulence is controlled through the ice±water stress. In the where W is a vector of surface wind and qa and Ra are ice-free areas this term is set to zero and in the fast ice air density and friction coecient between air and water, regions the friction is expressed in a manner similar to respectively. the bottom stress. The surface wind was determined from geostrophic To obtain a unique solution to the above system in the relationships with consideration of the transitional co- domain of integration it is sucient to specify initial and ecient Ca and angle of deviation of surface wind from boundary conditions. the geostrophic direction Aa. Implemented in the model Initially, the dependent variables in the integration calculations is the algorithm in which /Ashik et al., domain are taken as 0: 1989) f x; y†tˆ0 ˆ 0; 11† Ca ˆ 0:7 if W < 15 m=s; U x; y†tˆ0 ˆ 0; 12† Aa ˆ 30° if W < 15 m=s;

Ca ˆ 0:8 if W > 15 m=s; ui x; y†tˆ0 ˆ 0: 13† Aa ˆ 20° if W > 15 m=s: Alongthe solid boundary /S) we assume a no-slip con- The air±water dragcoecient was estimated as a func- dition for water transport and ice velocity tion of the wind speed as follows: U x; y; t†S ˆ 0; 14† À3 Ra ˆ 1:1 ‡ 0:04jWj†  10 : ui x; y; t†S ˆ 0: 15† Bottom stress is described by On the open boundary /O) of the domain, often sea jUjU level or water transport is known. If sea level is known T ˆ qR ; 6† b b D2 we proceed as follows: in the vicinity of the open À3 boundary /alongthe ®rst line parallel to the open where Rb is a bottom friction coecient ˆ 2:6  10 †. The interaction of ice and atmosphere is described by boundary), the linear hyperbolic problem is solved /horizontal friction and advective terms in /1) are Ts ˆ qaRiauijuij: 7† omitted). This procedure yields a unique solution for the

63 Marine Pollution Bulletin volume transport with sea level de®ned at the open Seas. These are mainly statistical characteristics of sea- boundary /e.g., Kowalik and Murty, 1993). When level regime which were published mainly in Russian transport is speci®ed alongthe line parallel to the open scienti®c journals. boundary, the solution process for the full set of equa- /b) Coordinates of 335 drifted buoys for the period tions /parabolic problem) can be extended into the in- 1979±1988 /Throndike et al., 1982). tegration domain. With the above restriction, the open /c) We use widely di€erent indirect information re- boundary conditions pertinent to Eqs. /1) and /2) can lated to the hydrological regime of the Arctic Ocean, be stated as follows: such as dynamic heights relative to the 200 dbar surface f ˆ f x; y; t†; 16† obtained by Treshnikov et al. /1976) for the period O 1946±1965; water temperature and salinity record in the Faroe-Shetland Canyon for a period of 1946±1973 U x; y; t†O ˆ U x; y; t†: 17† published by Yanes /1977), air temperature record at the Very often water transport alongthe open boundary is meteorological stations in the Greenland, Norwegian not known. In this case it is useful and enough to pre- and Barents Seas, published by Dementiev /1991), and scribe a radiation condition alongthe open boundary as water transport, salinity and temperature behavior in À2  U ˆÆfin gH† ; 18† the Fram Strait simulated by Hakkinen /1995). where fin is a sea level inside computational domain. For ice cover at the open boundary the following Results conditions are prescribed: Numerical simulations have been completed to assess ou the e€ects of di€erent forcing. In the ®rst experiment we i ˆ 0; 19† on tried to understand the role of BeringStrait in¯ow and a river run-o€ in the Arctic Ocean circulation. Antonov oc ˆ 0; 20† /1958, 1968) had explained observed surface circulation on and the Arctic Ocean hydrological regime mainly by where n is a normal to the open boundary. river run-o€ variability. Fig. 1/a) shows the surface Alongthe open boundaries in the North Paci®c we circulation in the Arctic Ocean for the ®rst experiment. prescribe sea level /2 m), and alongthe open bound- The sea slope between the Paci®c and the Arctic Oceans, aries in the North Atlantic we prescribe the radiation and the river run-o€, drive the well-known, quasi-per- condition /18). These conditions are used to reproduce manent circulation in the northern BeringSea, Bering sea slope between the Paci®c and Atlantic Oceans. This Strait, Chukchi Sea, Laptev and Kara Seas. They also sea slope is responsible for permanent water in¯ow indicate the location of the core of the Trans-Arctic and from the BeringSea into the Arctic Ocean and stable East-Greenland currents. Magnitudes of the currents are circulation in the northern BeringSea and the Chukchi proportionally related to the values of sea-level slope Sea /Proshutinsky, 1986) and apparently plays a sig- between the Paci®c and Arctic Oceans and the river run- ni®cant role in formation of the Trans-Arctic current. o€. The general pattern of these currents is related to the To include river run-o€ we prescribe water transport /U ratio between water transport through the Bering strait or V) for every river included in the model /Mackenzie, and the water in¯ow from the Siberian rivers. Two ex- Kolyma, Indigirka, Lena, Khatanga, Yenisei, Ob and treme situations are shown in Fig. 1/b) and /c), where Pechora). surface circulation is presented for situations when sea slope is zero and only river run-o€ forms the circulation, Data Base and when river run-o€ is zero and circulation in the ocean is driven only by sea slope between the two To cover the Arctic Ocean with a 55.5 km spatial grid oceans. step we use of the Arctic Ocean with a 14- In the second experiment, both the ocean and ice km spatial grid step prepared by Kowalik and Proshu- models were initialized from rest on 1 January 1946, and tinsky /1994). run for 43 years until 31 December 1988, usingthe The atmospheric forcing®elds are obtained from the NCAR daily surface atmospheric pressure, the simu- CD-ROM of the National Center for Atmospheric Re- lated surface winds computed from the pressure data, search /NCAR). We use sea-level pressure analysis for mean annual river run-o€ and a sea-level slope between the daily wind forcingcase /NCAR, 1990). the Paci®c and Arctic Ocean which provided reasonable The model results are supported by comparingob- in¯ow of Paci®c waters of about 1 Sv. Barotropic model servations to information obtained by di€erent authors spin up takes about 4 months if sea-level slope and river in numerical experiments with the Arctic Ocean models. run-o€ are included into the model. Three kinds of data bases are available to perform this comparison: Year-to-year variability /a) Sea-level observations are available from about 15 The model shows that wind is a principal factor re- sites in the Kara, Laptev, East-Siberian and Chukchi sponsible for the year-to-year variability in the circula-

64 Volume 43/Numbers 1±6/January±June 2001

Fig.1 Surface currents from the barotropic model with prescribed: /a) river run-o€ and sea slope between the Paci®c and Arctic Oceans; /b) only sea slope between the Paci®c and Arctic Oceans; /c) only river run-o€. Note that with river run-o€ forcing¯ow throughBeringStrait is southward. tion of ice and vertically integrated ¯ow. The time for To determine the time scale of the regime shifts we the ocean to respond to changes in thermohaline forcing examined the sea level slope at the center of the Arctic is generally considered to be too slow to explain shorter Basin as a measure of cyclonicity. The sea slope was term variability of a few years or less. calculated as the di€erence between the sea level at the Two regimes describe the modeled barotropic circu- center of a closed circulation cell and the sea level at the lation and ice circulation in the Arctic Ocean. One re- periphery of this circulation divided by the distance gime is characterized by anti-cyclonic circulation as between the center and periphery. Positive slopes cor- observed in the modeled central Arctic Ocean during responds to a raised sea surface and anti-cyclonic ice 1946±1952, 1958±1964, 1972±1979 /Figs. 2 and 3). A and water circulation /Fig. 3). Negative sea-level slopes second regime is characterized by cyclonic circulation as in the center of the Arctic Basin correspond to cyclonic observed in the model during1952±1957, 1964±1971 and ice and water circulation /Fig. 5). The absolute value of 1980±1986 /Figs. 4 and 5). Regime shifts between cy- the sea-level gradient in the center of the Arctic Basin clonic and anti-cyclonic ¯ow occur every 5±8 years with may serve as an index of circulation intensity /higher the period of oscillation of about 10±15 years. values correspond to a higher velocities in cyclonic or

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Fig.2 Surface currents and surface atmospheric pressure distribution Fig.4 Surface currents and surface atmospheric pressure distribution for the typical year with anti-cyclonic circulation. for the typical year with cyclonic circulation.

Fig.3 Sea-level heights for the years of anti-cyclonic circulation. Fig.5 Sea-level heights for the years of cyclonic circulation. Low High heights are in the center of the Arctic Basin and low heights are in the center of the Arctic Basin and high heights heights are along the . There is a cyclonic circulations in are alongthe coast. There is a cyclonic circulations in the the Greenland±Islandic±Norwegian Seas /GIN) and in the Greenland±Islandic±Norwegian Seas /GIN) and in the North North Atlantic. Atlantic. anti-cyclonic circulation). Fig. 6 shows a time-series of We have found references to the existence of only a the gradient of this slope and identi®es the circulation 5±7 year oscillatory regimes in the Russian meteoro- and strength of the two regimes. logical and oceanographic literature. This is probably

66 Volume 43/Numbers 1±6/January±June 2001

Fig.6 Gradients of sea level in the central Arctic Basin. Positive gradients in- dicate anti-cyclonic circulation and negative gradients indicate cyclonic circulation. In 1995±1999 we expect a cyclonic regime to prevail. because the time series of analyzed data were too short. Karklin /1977) found that the ice conditions and ice drift in the Arctic Seas has a periodicity of 6±7-years. A 7±8- year period was found in the temporal variability of dynamical heights relative to 200 dbar for the period 1949±1973 /Treshnikov et al., 1976). An investigation of the Arctic Ocean water budget /Treshnikov and Bara- nov, 1976) revealed a 2±3 and a 5±7 year period. Our results show that 2±3 year and a 5±7 year variability of the circulation exists, too, on a background of cyclonic or anti-cyclonic circulation /this is usually 2 year vari- ability of intensity of the circulation without changing the sign of rotation). Year-to-year variability of tem- perature and salinity in the Faroe-Shetland Canyon shows periods of 5±7 years as well /Yanes, 1977). Air surface temperature at the stations in the Greenland and Norwegian Seas has the same period 5±7 year oscilla- tions /Dement'ev, 1991). It is interestingthat in the most recent paper of Hakkinen /1995), one can ®nd the same 10±15 years variability in the simulated potential tem- perature and salinity for the top 100 m, and in the change in heat and salt content of the upper 2000 m in the Greenland Sea on her Figs. 6/a) and /c) and 7/a), respectively. The presence of two wind-driven circulation regimes has several important implications. Duringyears of anti- cyclonic ice and water circulation, the core of the Trans- Arctic current is intensi®ed and shifted toward , Fig.7 Trajectories of water parcels released at di€erent regions in enhancingout¯ow of ice from the East-Siberian, Laptev 1946. Period of simulations is 1946±1988. and Kara Seas. The ice transported through Fram Strait is expected to be thinner because of its origin in these thicker than in the Siberian Seas by a factor of 2 or coastal seas, implyingdecreased transport of more. Navigation in the is likely to be better in into the Greenland Sea. Duringyears with cyclonic the years with anti-cyclonic type of circulation and circulation, the core of the Trans-Arctic current is shif- worse in the cyclonic years when ice tends to block the ted toward Canada and Greenland, enhancingthe ¯ow Vilkitskogo Strait. of old ice into the Greenland Sea. Accordingto this ice circulation, there should be more transport of ice and The annual cycle fresh water through Fram Strait at this time because the After analyzingthe `average'annual cycle we have ice transported from the Canadian sector of the Arctic is found that the spatial±temporal structure of the surface

67 Marine Pollution Bulletin heights of the Arctic Ocean is determined mainly by the surface : by the intensity and location of the Arctic anti-cyclone and Icelandic de- pression. In the cold season from November to April there is signi®cant development of high pressure in the Arctic with a rise in the sea level in the center of the anti- cyclonic system of circulation and a decrease in sea level alongthe coast. In the second half of the year with a weakeningof the arctic atmospheric anti-cyclone, the resultingbarotropic anti-cyclonic ocean circulation weakens, with sea level in the center of circulation droppingwhile there is a sea level increase alongthe coastline of the arctic seas. In the Norwegian and Greenland Seas, under in¯u- ence of the system of winds and the baric ®eld of the Icelandic depression from November to April, a vast cyclonic water circulation develops. In the warm season the atmospheric depression ®lls and wind-driven circu- lation weakens. The annual cycle has been examined with respect to the two general wind-driven circulation regimes. We have averaged into monthly bins data from the anti- cyclonic circulation regime and averaged into monthly bins data from the cyclonic circulation regime for ice and surface motions to look at the seasonal cycle of each of the two circulation regimes. In the anti-cyclonic re- gime, strong anti-cyclonic circulation dominates for about 10 months from October to July. Thus, in this case, the winter regime of annual circulation prevails. In the years with a cyclonic regime, the summer circulation, characterized by weak cyclonic circulation and low ice and water transport through the Fram Strait, dominates the annual cycle. Fig.8 Conditional concentration of pollution from the di€erent re- gions during 1946±1988. Note higher concentrations stretch- ingfrom the Alaskan shelf across the Arctic Basin to Fram transport Strait; the higher concentrations in the Beaufort Gyre and Understandingthe two circulation regimesis useful alongthe east Siberian shelf. for investigating the temporal and spatial variability of ice, water and pollutant transport in the Arctic Ocean. Fig. 8 shows concentration of pollutants from di€er- For example, in Fig. 7 we present results based on the ent sources. Pollutant concentration was simulated us- history of trajectories of water markers released monthly ingwater and ice trajectories, and we assumed that at beginning in 1946 at Bering Strait and at di€erent river every time step each `pollutant ' leaves an mouth locations for the period 1946±1986. Water amount of its pollution that is simply summed every markers movingwith vertically averaged velocities have model time step. Summinggivesa `concentration' and a comparatively stable trajectories followingbathymetric contour of this is presented. To have a high concentra- features and are consistent with the two circulation re- tion of pollution in a region either, /1) many particles gimes. For example, parcels released at Bering Strait pass over the region, or, /2) a particle remains in the have trajectories with both cyclonic and anti-cyclonic region for an extended period. Analysis of the ®gures rotation. Eighty percent reach Fram Strait and 20% shows that there are a few regions with high potential were entrained into the circulation of the central Arctic pollutant concentration: the continental slope of the Basin. Parcels originating in the Kolyma River mouth Siberian Seas, the core of Trans-Arctic current, regions move to the east or west as a function of the regime type. with prevailinglocal cyclonic circulation, and, of course, Pollutants from the Kolymya River can reach the regions near a source of pollution. coastal waters o€ Alaska. Ice trajectories are more variable because of the direct Summary and Conclusions in¯uence of wind. Tracks of the ice motion can be found everywhere in the Arctic basin with a maximum con- We have constructed a barotropic, two-dimensional, centration in the Beaufort Sea and alongthe core of the coupled, ice±ocean model with resolution of about 55 Trans-Arctic Current. km, obtained solutions to di€erent kinds of forcing, and

68 Volume 43/Numbers 1±6/January±June 2001 analyzed data of vertically averaged currents and ice Arctic Seas. Meteorologiya i Gidrologiya /Soviet Meteorology and motion in the Arctic Ocean for period 1946±1988. The Hydrology) 8, translated from Russian by Allerton Press, pp. 74± 82. model results show that: Buinitskii, V. Kh. /1951) Formation and drift of ice cover in the Arctic 1. Two wind-driven circulation regimes are possible in Basin. In Trudy dreifuyushechei ekspeditsii Glavsevmorputi ns l/p G. the Arctic, a cyclonic and an anti-cyclonic circula- Sedov, vol. 4, Moskva-Leningrad, pp. 12±40. Buinitskii, V. Kh. /1958) Perennial ¯ow of surface water and the tion. These appear to alternate at intervals of 5±7 general pattern of sea ice drift in the Arctic Basin. In Nauchnye years with the period of 10±15 years. It is important doklady vyshei shkoly. Geologichecko-geogra®cheskie nauki, vol. 1, to pollution studies to understand which circulation pp. 17±31. Campbell, W. J. /1965) Wind-driven circulation of ice and water in a regime prevails. It is anticipated that we are now in Polar Ocean. Journal of Geophysical Research 70 /14), 3279±3303. a cyclonic regime, and during this phase, pollutants Dement'ev, A. A. /1991) Year-to-year oscillations of air temperature in can indeed reach the Alaskan shelf. the Greenland and Norwegian Seas. Problemy Arktiki and Antark- tiki 65, 6±13. 2. Many measurements of temperature and salinity dis- Duvanin, A. I. /1951) Average level of oceans as an index of processes tribution were done in the Arctic Ocean between of interaction of the atmosphere and the ocean. Trudy GOIN 9, 16± 1972 and 1978 when an anti-cyclonic circulation re- 74. Galerkin, L. I. /1961) Problems related to research of the seasonal gime prevailed. These data were used in forming oscillations of the World Ocean level. Okeanologiya 1 /6), 1108± the Levitus data base as well as for modelingthe ther- 1117. mohaline circulation of the Arctic Ocean. Our Galt, J. A. /1973) Numerical Investigation of the Arctic . Journal Physics and 3 /4), 379±396. knowledge about the Arctic Ocean circulation is thus Gordienko, P. A. and Karelin, D. B. /1945) Problems of the motion and based primarily on data from years with prevailing distribution of ice in the Arctic Basin. Problemy Arktiki 3, 25±38. anti-cyclonic atmospheric and ocean circulation. Gudkovich, Z. M. /1961a) Relation of the ice drift in the Arctic Basin to ice conditions in Soviet Arctic seas. Trudy okeanographicheskoi That a cyclonic circulation regime also exists is sup- komissii 11, 14±21. ported by examiningthe temporal variability of dy- Gudkovich, Z. M. /1961b) On the nature of Paci®c currents in the namic heights in the Arctic Ocean /Treshnikov et BeringStrait and the causes of seasonal variations in their intensity. Okeanologiya 1 /4), 608±612. al., 1976), temperature and salinity oscillations in Gudkovich, Z. M. and Nikiforov, E. G. /1965) Investigation of water the Faroe-Shetland Strait /Yanes, 1977), and air tem- circulation in the Arctic Basin usinga model. Okeanologiya 5 /1), perature variations in the Norwegian and Greenland 75±83. Fel'zenbaum, A. I. /1958) Theory of steady-state ice drift and Seas /Dement'ev, 1991). calculation of multi-year averaged ice drift in the Central Arctic 3. The seasonal circulation has two regimes as well. Basin. Problemy Severa 2, 16±47. Duringwinter an anti-cyclonic regime prevails and Fleming, G. H. and Semtner, A. J. /1991) A numerical study of interannual ocean forcingon Arctic ice. Journal of Geophysical duringsummer this anti-cyclonic circulation weakens Research 96, 4589±4604. or perhaps even reverses so that weak cyclonic circu- Hakkinen, S. /1993) An Arctic source for the Great Salinity anomaly: a lation prevails. simulation of the Arctic ice ocean system for 1955±1975. Journal of Geophysical Research 98 /16), 397±16,410. 4. We anticipate that this research will continue, and Hakkinen, S. /1995) Simulated interannual variability of the Green- we will include the atmospheric conditions for land Sea deep water formation and its connection to surface 1989±1994. Followingthis, we plan to use a three- forcing. Journal of Geophysical Research 100, 4761±4770. Hakkinen, S. and Mellor, G. L. /1992) Modelingthe seasonal dimensional model for simulatingthe Arctic Ocean variability of the coupled Arctic ice-ocean system. Journal of circulation includingthe thermohaline e€ects and Geophysical Research 97 /20), 285±20,304. ice thermodynamics and further explore the two Hibler, W. D., III and Bryan K. /1986) A diagnostic ice±ocean model. Journal of Physics and Oceanography 17, 987±1015. circulation regimes discussed here. Karklin, V. P. /1977) State and future of using of geliogeophysical The regime shifts demonstrated in this paper are fun- factors for ice forecasts. Problemy Arctiki i Antarktiki 50, 45±48. damentally important to understandingthe Arctic's Kowalik, Z. /1981) A study of the M2 in the ice-covered Arctic Ocean. Modeling, Identi®cation and Control 2 /4), 201±223. general circulation and particularly for estimating pol- Kowalik, Z. and Murty, T. S. /1993) Numerical Modeling of Ocean lution transport. But because the majority of Arctic data Dynamics. World Scienti®c, Singapore, 481 p. re¯ect the anti-cyclonic /1972±1978) regime, and because Kowalik, Z. and Proshutinsky, A.Yu. /1994) The Arctic Ocean . In The Polar Oceans and Their Role in Shaping the Global the recent Trans-Arctic e€ort may have sampled during Environment: The Nansen Centenial Volume, Geophysics Mono- an anti-cyclonic regime as well, it is central to Arctic graphic Series, vol. 85, eds O. Johannessen, R. D. Muench and J. E. science that this modelingwork be fully tested and a Overland, pp. 137±158. AGU, Washington DC. Krutskikh, B. A. /1978) Main regularities of variation of the regime of major future ®eld e€ort sample duringthe next cyclonic Arctic Seas in natural hydrologic periods. Gidrometeoizdat, regime /1995±1999). Leningrad, 91 p. McPhee, M. G. /1986) Analysis and prediction of short-term ice drift. We would like to acknowledge support for this work from the Oce of In Proceedings of the Fifth International O€shore Mechanics and Naval Research, under grant NOO14-94-1-0570. Numerical compu- Arctic Engineering Symposium, vol. 4, ASME, 385±39. tations were carried out usingCRAY Y-MP located at the University Nansen, F. /ed.) /1902) The oceanography of the north polar basin. of Alaska, Fairbanks. The Norwegian North Polar Expedition, 1893±1896, Scienti®c Results, Longmans, Green and Co. vol. 3, 422 p. Antonov, V. S. /1958) Role of river run o€ in the regime of the Arctic NCAR /1990) Compact disk of the National Meteorological Center Ocean circulation. Problemy Severa 1, 52±64. Grid Point Data Set: Version II. 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