<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing with OASIS Tables v3.0 20080202//EN" "journalpub-oasis3.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" dtd-version="3.0">
  <front>
    <journal-meta>
<journal-id journal-id-type="publisher">OS</journal-id>
<journal-title-group>
<journal-title>Ocean Science</journal-title>
<abbrev-journal-title abbrev-type="publisher">OS</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Ocean Sci.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1812-0792</issn>
<publisher><publisher-name>Copernicus Publications</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>

    <article-meta>
      <article-id pub-id-type="doi">10.5194/os-13-453-2017</article-id><title-group><article-title><?xmltex \hack{\vspace*{3mm}}?>Lagrangian simulation and tracking of the mesoscale eddies contaminated by Fukushima-derived radionuclides</article-title>
      </title-group><?xmltex \runningauthor{S. V. Prants et al.}?><?xmltex \runningtitle{Lagrangian tracking of Fukushima-contaminated mesoscale eddies}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Prants</surname><given-names>Sergey V.</given-names></name>
          <email>prants@poi.dvo.ru</email>
        <ext-link>https://orcid.org/0000-0001-6990-4356</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Budyansky</surname><given-names>Maxim V.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Uleysky</surname><given-names>Michael Y.</given-names></name>
          
        </contrib>
        <aff id="aff1"><institution>Laboratory of Nonlinear Dynamical Systems, Pacific Oceanological
Institute of the Russian Academy of Sciences, <?xmltex \hack{\break}?>43 Baltiyskaya
st., 690041 Vladivostok, Russia</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Sergey V. Prants (prants@poi.dvo.ru)</corresp></author-notes><pub-date><day>14</day><month>June</month><year>2017</year></pub-date>
      
      <volume>13</volume>
      <issue>3</issue>
      <fpage>453</fpage><lpage>463</lpage>
      <history>
        <date date-type="received"><day>20</day><month>December</month><year>2016</year></date>
           <date date-type="rev-request"><day>25</day><month>January</month><year>2017</year></date>
           <date date-type="rev-recd"><day>27</day><month>April</month><year>2017</year></date>
           <date date-type="accepted"><day>12</day><month>May</month><year>2017</year></date>
      </history>
      <permissions>
<license license-type="open-access">
<license-p>This work is licensed under the Creative Commons Attribution 3.0 Unported License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/3.0/">https://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions><self-uri xlink:href="https://os.copernicus.org/articles/.html">This article is available from https://os.copernicus.org/articles/.html</self-uri>
<self-uri xlink:href="https://os.copernicus.org/articles/.pdf">The full text article is available as a PDF file from https://os.copernicus.org/articles/.pdf</self-uri>


      <abstract>
    <p>A Lagrangian methodology is developed to simulate, track, document
and analyze the origin and history of water masses in ocean mesoscale features.
It aims to distinguish whether water masses inside the mesoscale eddies
originated from the main currents in the Kuroshio–Oyashio confluence zone.
By computing trajectories for a large number of synthetic Lagrangian
particles advected by the AVISO velocity field after the Fukushima accident,
we identify and track the mesoscale eddies which were sampled in the
cruises in 2011 and 2012 and estimate their risk of being contaminated by
Fukushima-derived radionuclides. The simulated results are compared with in
situ measurements, showing a good qualitative correspondence.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>High tsunami waves after the Tohoku earthquake on 11 March 2011 damaged the
cooling system of the Fukushima Nuclear Power Plant (FNPP). Due to lack of
electricity, it was not possible to cool nuclear reactors and the fuel
storage pools that caused numerous explosions at the FNPP <xref ref-type="bibr" rid="bib1.bibx23" id="paren.1"><named-content content-type="pre">for details
see</named-content></xref>. The Fukushima accident was classified at the
maximum level of 7, similar to the Chernobyl accident which happened in 1986
in the former Soviet Union. Radionuclides were released from the FNPP through
two major pathways: direct discharges of radioactive water and atmospheric
deposition onto the North Pacific Ocean. Indirect estimation of that
deposition is in the range <inline-formula><mml:math id="M1" display="inline"><mml:mn mathvariant="normal">6.4</mml:mn></mml:math></inline-formula>–<inline-formula><mml:math id="M2" display="inline"><mml:mn mathvariant="normal">35</mml:mn></mml:math></inline-formula> PBq <xref ref-type="bibr" rid="bib1.bibx16" id="paren.2"/>. The total
amount of <inline-formula><mml:math id="M3" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> isotope released into the ocean was estimated
to be <inline-formula><mml:math id="M4" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn></mml:mrow></mml:math></inline-formula> PBq by the end of May 2011 <xref ref-type="bibr" rid="bib1.bibx33" id="paren.3"/>.</p>
      <p>A few special research vessel (R/V) cruises were conducted, just after
the accident and later, to measure radioactivity in sea water, zooplankton,
fish and in other marine organisms. <inline-formula><mml:math id="M5" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M6" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">134</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> isotopes with 30.17 and 2.06 years half-life,
respectively, were detected over a broad area in the western North
Pacific in 2011 and 2012
<xref ref-type="bibr" rid="bib1.bibx7 bib1.bibx4 bib1.bibx9 bib1.bibx10 bib1.bibx32 bib1.bibx33 bib1.bibx11 bib1.bibx20 bib1.bibx1 bib1.bibx13 bib1.bibx16 bib1.bibx12 bib1.bibx3" id="paren.4"/>.
<inline-formula><mml:math id="M7" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> concentration levels off Japan before the accident were
estimated at the background level to be 1–3 mBq kg<inline-formula><mml:math id="M8" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, while
<inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">134</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> was not detectable. Because of a comparatively short
half-life time, any measured concentrations of <inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">134</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> could
only be Fukushima derived.</p>
      <p>The studied area is shown in Fig. <xref ref-type="fig" rid="Ch1.F1"/>a. It is known as the
Kuroshio–Oyashio confluence zone or a subarctic frontal area
<xref ref-type="bibr" rid="bib1.bibx14" id="paren.5"/>. The Kuroshio Extension prolongs the Kuroshio Current which
turns to the east at about 35<inline-formula><mml:math id="M11" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N and flows as a strong
meandering jet constituting a front separating the warm subtropical and cold
subarctic waters. It is a region with one of the most intense air–sea heat
exchange and the highest eddy kinetic-energy level. The Kuroshio–Oyashio
confluence zone is populated with several mesoscale eddies that transfer
heat, salt, nutrients, carbon, pollutants and other tracers across the ocean.
They originate, besides from the Kuroshio Extension, from the Tsugaru Warm
Current, flowing between the Honshu and Hokkaido islands, and from the cold
Oyashio Current flowing out of the Arctic along the Kamchatka Peninsula and
the Kuril Islands (Fig. <xref ref-type="fig" rid="Ch1.F1"/>a). The lifetime of those eddies ranges
from a few weeks to a few years.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><caption><p><bold>(a)</bold> The AVISO velocity field in the Kuroshio–Oyashio
confluence zone, averaged from 1993 to 2016. TsS stands for the Tsugaru
Strait. Location of the FNPP is shown by the radioactivity sign. The area
just around the FNPP is shown by the yellow lines. <bold>(b)</bold> The velocity
field on 24 August, 2011, with the Tohoku (TE) and Hokkaido (HE) eddies
studied in the paper and with tracks of some available drifters (the red
circles) and Argo floats (the green stars) present in the area at that time.
Elliptic and hyperbolic stagnation points with zero mean velocity are
indicated by triangles and crosses, respectively, with upward- and
downward-oriented triangles denoting anticyclones and cyclones,
respectively.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://os.copernicus.org/articles/13/453/2017/os-13-453-2017-f01.png"/>

      </fig>

      <p>The standard approach in simulating transport phenomena, such as propagation of oil after the explosion
at the Blue Horizon mobile drilling rig in the Gulf of Mexico in April 2010 and propagation of
radioactive isotopes after the accident at the FNPP, is to run global or regional numerical models
of circulation to simulate propagation of pollutants and try to forecast their trajectories.
The outcomes provide “spaghetti-like” plots of individual trajectories which are hard to interpret.
Moreover, as the majority of real trajectories in a chaotic environment are very sensitive to small
and inevitable variations in initial conditions, they are practically unpredictable even over
a comparatively short time.</p>
      <p>A specific Lagrangian approach, based on dynamical systems theory, has been
developed in recent decades with the aim of finding more or less robust
material structures in chaotic flows governing mixing and transport of
Lagrangian particles and creating transport barriers preventing propagation
of a contaminant across them <xref ref-type="bibr" rid="bib1.bibx31 bib1.bibx17 bib1.bibx15 bib1.bibx5" id="paren.6"><named-content content-type="pre">for reviews
see</named-content></xref>. Identification of such structures
in the ocean would help to predict, for short and medium-length periods of
time, where a contaminant will move even without a precise solution of the
Navier–Stokes equations. This approach has been successfully used in
simulating propagation of oil in the Gulf of Mexico
<xref ref-type="bibr" rid="bib1.bibx18 bib1.bibx8 bib1.bibx21" id="paren.7"/> and propagation of
Fukushima-derived radionuclides in the Pacific ocean
<xref ref-type="bibr" rid="bib1.bibx27 bib1.bibx3 bib1.bibx29" id="paren.8"/>.</p>
      <p>The present authors have developed a set of Lagrangian tools for tracking the origin, history and fate
of water masses advected by analytic, altimetric and numerical velocity fields generated by eddy-resolved
regional circulation models <xref ref-type="bibr" rid="bib1.bibx2 bib1.bibx26 bib1.bibx27 bib1.bibx24 bib1.bibx28 bib1.bibx25 bib1.bibx3" id="paren.9"/>.
Each elementary
volume of water can be attributed to physico-chemical properties (temperature, salinity, density, radioactivity,
etc.) which characterize this volume as it moves.
In addition, each water parcel can be attributed to other types of diagnostics which
are exclusively a
function of its trajectory. We call them “Lagrangian indicators”.
They are, for example, distance traveled by a fluid particle for some
period of time; absolute, zonal and meridional displacements of particles from their original
positions; the number of their cyclonic and anticyclonic rotations;
time of residence of fluid particles inside a given area; exit time out off that area;
and the number of times particles visited different places in a studied region.</p>
      <p>The Lagrangian indicators contain information about the origin, history and
fate of the corresponding water masses and allow the identification of water
masses that move coherently, either by propagating together or by rotating
together. Even if adjacent waters are indistinguishable, say, by temperature
(e.g., the satellite SST images indicate no thermal front), the corresponding
water masses could still be distinguishable by, for example, their origin,
traveling history and other factors. The Lagrangian indicators are computed
by integrating advection equations (Eq. <xref ref-type="disp-formula" rid="Ch1.E1"/>) for a large number of
synthetic particles forward and backward in time. When integrating
Eq. (<xref ref-type="disp-formula" rid="Ch1.E1"/>) forward in time, one computes particle trajectories to know
the fate of the corresponding particles, and when integrating
Eq. (<xref ref-type="disp-formula" rid="Ch1.E1"/>) backward in time, one could know where the particles came
from and the history of their travel.</p>
      <p>The purpose of this paper is threefold. Firstly, we develop a Lagrangian methodology in order to track
and document the origin and history of water masses constituting prominent mesoscale features. It allows
the distinction of water masses inside mesoscale eddies originating from the main currents in the
Kuroshio–Oyashio confluence zone.
Secondly, we apply that methodology in order to identify and track the mesoscale eddies, advected by
the altimetric AVISO velocity field, with a risk of being contaminated by Fukushima-derived radionuclides.
Finally, the simulation results are compared qualitatively with  in situ sampling of those eddies
in the R/V cruises. The location and form of the simulated eddies are verified, when possible, by tracks
of surface drifters and diving Argo floats available at the sites <uri>aoml.noaa.gov/phod/dac</uri> and
<uri>www.argo.net</uri>, respectively.</p>
</sec>
<sec id="Ch1.S2">
  <title>Data and methodology</title>
      <p>All the simulation results are based on integrating equations of motion for
a large number of synthetic particles (tracers) advected by the AVISO velocity
field.
          <disp-formula id="Ch1.E1" content-type="numbered"><mml:math id="M12" display="block"><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi>d</mml:mi><mml:mi mathvariant="italic">λ</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mi>u</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="italic">φ</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mo>,</mml:mo><mml:mspace width="1em" linebreak="nobreak"/><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi mathvariant="italic">φ</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mi>v</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="italic">φ</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
        where <inline-formula><mml:math id="M13" display="inline"><mml:mi>u</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M14" display="inline"><mml:mi>v</mml:mi></mml:math></inline-formula> are angular zonal and meridional velocities, and <inline-formula><mml:math id="M15" display="inline"><mml:mi mathvariant="italic">φ</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M16" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> are latitude
and longitude, respectively. The altimetry-based velocities were obtained from the AVISO database
(<uri>aviso.altimetry.fr</uri>) archived daily on a <inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:msup><mml:mn mathvariant="normal">4</mml:mn><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M18" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> grid. The velocity
field was interpolated using a bicubical spatial interpolation and third-order Lagrangian
polynomials in time. In integrating Eq. (<xref ref-type="disp-formula" rid="Ch1.E1"/>) we used a fourth-order Runge–Kutta
scheme with an integration step of 0.001 days.</p>
      <p>The velocity field is from altimetry data, which provide the geostrophical component of the real
near-surface velocities valid at the mesoscale. In order to display the enormous amount of
information, we plot maps
of specific Lagrangian indicators versus particle's initial positions.
The region under study is seeded with a large number of Lagrangian particles whose trajectories
are computed for a given period of time. The results obtained are processed to get a data file
with the field of a specific Lagrangian indicator in this area. Finally, its values are coded
by color and represented as a map in geographic coordinates.</p>
      <p>It is informative also to identify “instantaneous” stagnation elliptic and hyperbolic points on the
Lagrangian maps. We mark them by triangles and crosses, respectively. They are points with zero
velocity which are computed daily with the AVISO velocity field. The elliptic points are called
stable and the hyperbolic ones are unstable. Their local stability properties are characterized
by a standard method calculating eigenvalues of the Jacobian matrix of the velocity field.
The elliptic points, situated mainly in the centers of eddies, are those points around which
the motion is stable and circular. Upward (downward) orientation of one of the triangle's top on
the maps means anticyclonic (cyclonic) rotations of water around them. The hyperbolic points,
situated mainly between and around eddies, have stable manifolds along which water parcels
converge to such a point and unstable manifolds along which they diverge. The stagnation
points are moving Eulerian features and may undergo bifurcations in the course of time.
In spite of nonstationarity of the velocity field, some of them may exist for weeks and
much more. The hyperbolic points and their attracting and repelling manifolds were
recently identified with the help of drifter's tracks in the Gulf of La Spezia in the
northwestern Mediterranean Sea <xref ref-type="bibr" rid="bib1.bibx6" id="paren.10"/>, in the
Gulf of Lion <xref ref-type="bibr" rid="bib1.bibx19" id="paren.11"/>, in the Gulf of Mexico
<xref ref-type="bibr" rid="bib1.bibx22" id="paren.12"/> and in the northwestern Pacific <xref ref-type="bibr" rid="bib1.bibx30" id="paren.13"/>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><caption><p>The Lagrangian maps show evolution of the Tohoku eddy (TE) from after the
accident to the days of its sampling and the origin of waters in its core and
at the periphery. The red, black and blue colors specify the tracers which
came for 2 years in the past to their places on the maps from the Kuroshio,
Oyashio and Tsushima currents, respectively, more exactly, from the
corresponding line segments shown in Fig. <xref ref-type="fig" rid="Ch1.F1"/>a. The yellow color
marks the Lagrangian particles coming from the area around the FNPP in
Fig. <xref ref-type="fig" rid="Ch1.F1"/>a (shown in Fig. <xref ref-type="fig" rid="Ch1.F2"/>a by the dashed line), after
the day of the accident on 11 March 2011. The TE was sampled on 10
and 11 June 2011 by <xref ref-type="bibr" rid="bib1.bibx4" id="text.14"/> along the transect
35.5– 38<inline-formula><mml:math id="M19" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 144<inline-formula><mml:math id="M20" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E shown in <bold>(c)</bold> and at
the end of July 2011 by <xref ref-type="bibr" rid="bib1.bibx11" id="text.15"/> along the transect
35<inline-formula><mml:math id="M21" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N–41<inline-formula><mml:math id="M22" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 144<inline-formula><mml:math id="M23" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E shown in <bold>(d)</bold>.
The locations of stations with surface seawater samples (collected by <xref ref-type="bibr" rid="bib1.bibx4" id="altparen.16"/> and
<xref ref-type="bibr" rid="bib1.bibx11" id="altparen.17"/>) with measured radiocesium
concentrations at the background level are indicated by the green diamonds.
Stations where the concentrations were measured to be much higher are
marked by the magenta diamonds.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://os.copernicus.org/articles/13/453/2017/os-13-453-2017-f02.png"/>

      </fig>

      <p>The altimetry-based Lagrangian maps allow accurate identification and tracking of mesoscale eddies and
document their transformation due to interactions with currents and other eddies. Inspecting
daily-computed Lagrangian maps for a long period of time (up to 2 years in this paper) and
computing stagnation elliptic points daily, one can track the origin and fate of water masses
within a given eddy if it is sufficiently
large and long lived (i.e., more than a week). For this purpose Lagrangian diagnostics are more
appropriate than commonly used Eulerian techniques, because Lagrangian maps are imprints of
the history of water masses involved in the vortex motion,
whereas vorticity, Okubo–Weiss parameter and similar indicators are only
instantaneous snapshots (see <xref ref-type="bibr" rid="bib1.bibx22" id="altparen.18"/>, and <xref ref-type="bibr" rid="bib1.bibx30" id="altparen.19"/>, for comparison).</p>
      <p>Being motivated by the problem of identification of Fukushima-contaminated waters in the core
and at the periphery of persistent mesoscale eddies in the area, we develop in this paper a
specific Lagrangian technique designed to distinguish water masses of a different origin
inside the eddies with a risk of being contaminated. With this aim we specify, besides
Fukushima-derived waters, water masses originated from the main currents in the
Kuroshio–Oyashio confluence zone. The integration was performed backward in time.
We removed from consideration all the particles entered into any AVISO grid cell with two
or more corners touching the land in order to avoid artifacts
due to the inaccuracy of the altimetry-based velocity field near the coast.</p>
      <p>In what follows, we define the “yellow” waters on the maps as those which
have a large risk of being contaminated because they came after the accident
from the area just around the FNPP, enclosed by the yellow straight lines in
Fig. <xref ref-type="fig" rid="Ch1.F1"/>a, for the period from the day of the accident,
March 11, 2011, to May 18, 2011, when direct releases of radioactive isotopes
to the ocean and atmosphere stopped. The “red” waters are salty and warm
Kuroshio waters. To be more exact, they came from the red zonal line
(34.5<inline-formula><mml:math id="M24" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 139–144<inline-formula><mml:math id="M25" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E) in Fig. <xref ref-type="fig" rid="Ch1.F1"/>a,
crossing the Kuroshio main jet. The “black” waters came from the warm
Tsushima Current flowing via the Tsugaru Strait out off the Japan Sea and
across that strait (the black line with 40–43<inline-formula><mml:math id="M26" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N,
141.55<inline-formula><mml:math id="M27" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E). The “blue” waters are fresher and colder waters
originating from the Oyashio Current and crossing the blue zonal line
(48<inline-formula><mml:math id="M28" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 153–159<inline-formula><mml:math id="M29" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E) shown in Fig. <xref ref-type="fig" rid="Ch1.F1"/>a.
The “white” waters on the Lagrangian maps have not been specified as originating from one of the segments mentioned above. They could reach their
places on the maps from anywhere besides those segments.</p>
      <p>We are interested in advective transport for a comparatively long period of time, up
to 2 years. It is hardly possible to adequately simulate motion of a specified passive
particle in a chaotic flow, but it is possible to reproduce transport of a statistically
significant number of particles. Our results are based not on simulation of individual
trajectories but on statistics for 490 000 Lagrangian particles.  We cannot, of course,
guarantee that we compute “true” trajectories for individual particles. The description
of the general pattern of transport for half a million particles is much more robust. However,
we do not try to quantitatively simulate the concentration of radionuclides or estimate the
content of water masses of different origin inside the studied eddies.</p>
</sec>
<sec id="Ch1.S3">
  <title>Results</title>
      <p>A few mesoscale eddies were present in the studied area on the day of the accident. The cyclonic
eddies with the centers, marked by the downward-oriented triangles on the Lagrangian maps,
prevailed in the
area to the north of the Subarctic Front, the boundary between  the subarctic (blue) and
subtropical (red) waters in Fig. <xref ref-type="fig" rid="Ch1.F2"/>. The anticyclonic eddies with the centers,
marked by the upward-oriented triangles, prevailed to the south of the front.</p>
      <p><?xmltex \hack{\newpage}?>The large anticyclonic Tohoku eddy (TE,) with the center at around
39<inline-formula><mml:math id="M30" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 144<inline-formula><mml:math id="M31" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E in March 2011, was sampled after the
accident in the two R/V cruises in June <xref ref-type="bibr" rid="bib1.bibx4" id="paren.20"/> and July 2011
<xref ref-type="bibr" rid="bib1.bibx11" id="paren.21"/>, showing large concentrations of <inline-formula><mml:math id="M32" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup></mml:math></inline-formula>Cs and
<inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">134</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula>. The anticyclonic Hokkaido eddy (HE), genetically
connected with the TE, originated in the middle of May 2011 with the center at
around 40<inline-formula><mml:math id="M34" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 145<inline-formula><mml:math id="M35" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E. After that it captured some
contaminated water from the TE. It was sampled at the end of July 2011
<xref ref-type="bibr" rid="bib1.bibx11" id="paren.22"/>.</p>
      <p>The anticyclonic Tsugaru eddy (TsE) was genetically connected with the HE. It
originated in the beginning of February 2012 with the center at around
41.9<inline-formula><mml:math id="M36" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 148<inline-formula><mml:math id="M37" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E and captured some contaminated water
from the HE. The TsE was sampled in the R/V <italic>Professor Gagarinskiy</italic> cruise on 5 July, 2012, and found to have concentrations of
<inline-formula><mml:math id="M38" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup></mml:math></inline-formula>Cs and <inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">134</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> over the background level at
the surface and at intermediate depths <xref ref-type="bibr" rid="bib1.bibx3" id="paren.23"/>. All these eddies will
be studied in this section from the Lagrangian point of view in order to
simulate and track by which transport pathways they could have gained water
masses from the Fukushima area or from other origins and to compare
qualitatively the simulation results with in situ measurements.</p>
<sec id="Ch1.S3.SS1">
  <title>The Tohoku eddy</title>
      <p>We tracked with daily-computed Lagrangian maps the birth, metamorphoses and
decay of the mesoscale anticyclonic TE. It originated in the middle of May 2010
with the elliptic point at around 38<inline-formula><mml:math id="M40" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 144<inline-formula><mml:math id="M41" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E at that
time as the result of interaction of a warm anticyclonic Kuroshio ring with a
cyclone with mixed Kuroshio and Oyashio core waters. It has interacted with
other eddies almost for a year, with multiple splitting and merging in the
area to the east off the Honshu Island. Just after the accident, it began to
gain yellow water from the area around the FNPP with a high risk of
contamination. That eddy is clearly seen in an earlier simulation just after the
accident in Fig. 3b by <xref ref-type="bibr" rid="bib1.bibx27" id="text.24"/> and on the Lagrangian map in
Fig. <xref ref-type="fig" rid="Ch1.F2"/>a as a red patch labeled as TE with the center at
39<inline-formula><mml:math id="M42" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 144<inline-formula><mml:math id="M43" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E on 26 March 2011.</p>
      <p>The maps in Fig. <xref ref-type="fig" rid="Ch1.F2"/> and in the subsequent figures were
computed, as was explained in Sect. 2. The red color in the core of the TE means
that its core water was of subtropical origin. More precisely, the red
tracers were advected for 2 years from the red line segment in
Fig. <xref ref-type="fig" rid="Ch1.F1"/>a to the current place on the map. In March 2011 yellow
water, coming from the area around the FNPP with a comparatively high risk of being contaminated, wrapped round the TE. A thin streamer of Tsugaru black
water, coming from the black line segment in Fig. <xref ref-type="fig" rid="Ch1.F1"/>a, wrapped a
periphery of the TE at the end of March. Yellow waters propagated
gradually to the east and south due to a system of currents wrapping around
the eddies present in the area. The straight zonal boundary along
36.5<inline-formula><mml:math id="M44" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N and meridional boundary along 144<inline-formula><mml:math id="M45" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E,
separating water masses of different origin in Fig. <xref ref-type="fig" rid="Ch1.F2"/>a on 26 March 2011, are just fragments of the boundary in Fig. <xref ref-type="fig" rid="Ch1.F1"/>a restricting
the area around the FNPP. These boundaries separate the yellow tracers
which were present within the area from those which have not yet managed
to penetrate inside the area for 15 days after the accident.</p>
      <p>In April and May 2011 the TE had a sandwich-like structure, with the red
subtropical core belted with a narrow streamer of Fukushima yellow waters
which, in turn, was encircled by a red streamer of Kuroshio subtropical water
(Fig. <xref ref-type="fig" rid="Ch1.F2"/>b). A new eddy configuration appeared at the end of May in
Fig. <xref ref-type="fig" rid="Ch1.F2"/>b, with the TE interacting with a blue cyclone with the
center at 39.9<inline-formula><mml:math id="M46" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 144.7<inline-formula><mml:math id="M47" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E and a newborn yellow
anticyclone which we call the Hokkaido eddy with the center at
40.4<inline-formula><mml:math id="M48" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 145.5<inline-formula><mml:math id="M49" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E. The core of that cyclone consisted
of a blue subarctic Oyashio water with low risk of being contaminated, but
the HE core water came from the area around the FNPP with a high risk of being
contaminated.</p>
      <p>In the course of time the TE moved gradually to the south. Its periphery was sampled at the beginning of June by <xref ref-type="bibr" rid="bib1.bibx4" id="text.25"/>, and the whole
eddy was crossed at the end of July 2011 by <xref ref-type="bibr" rid="bib1.bibx11" id="text.26"/>.
Fukushima-derived cesium isotopes were measured on  10 and 11 June during
the R/V <italic>Ka'imikai-o-Kanaloa</italic> cruise <xref ref-type="bibr" rid="bib1.bibx4" id="paren.27"/> along the
144<inline-formula><mml:math id="M50" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E meridional transect where the cesium concentrations were found to be in the range from the background level,
<inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mn mathvariant="normal">137</mml:mn></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 1.4–3.6 mBq kg<inline-formula><mml:math id="M52" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (stations 13 and 14), to a high level up
to <inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mn mathvariant="normal">137</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">173.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">9.9</mml:mn></mml:mrow></mml:math></inline-formula> mBq kg<inline-formula><mml:math id="M54" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (station 10). The ratio
<inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">134</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi><mml:msup><mml:mo>/</mml:mo><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> was close to 1.</p>
      <p>For ease of comparison, we mark, with the green diamonds in Fig. <xref ref-type="fig" rid="Ch1.F2"/>c, the locations
of stations 13 and 14 with collected surface seawater samples by <xref ref-type="bibr" rid="bib1.bibx4" id="text.28"/> in which
the cesium concentrations were measured to be at the background level (<inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:mi mathvariant="italic">≲</mml:mi><mml:mn mathvariant="normal">3.6</mml:mn></mml:mrow></mml:math></inline-formula> mBq kg<inline-formula><mml:math id="M57" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>).
The stations 10,
11 and 12, where the concentrations were found to be much larger, are indicated by the
magenta  diamonds. Our simulation in Fig. <xref ref-type="fig" rid="Ch1.F2"/>c shows that stations 13 and 14 on the
days of sampling were located in red and white  waters with a low risk
of containing Fukushima-derived radionuclides.</p>
      <p>Transport and mixing at and around stations 10, 11 and 12 with high measured
values of the cesium concentrations <xref ref-type="bibr" rid="bib1.bibx4" id="paren.29"/> were governed
mainly by the interaction of the TE with the yellow mesoscale cyclone
with the center at 37.2<inline-formula><mml:math id="M58" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 142.8<inline-formula><mml:math id="M59" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E. This cyclone
formed in the area in April and captured yellow waters with a high risk
of contamination. Unfortunately, it has not been sampled in the
R/V <italic>Ka'imikai-o-Kanaloa</italic> cruise. The surface seawater samples at
stations 10, 11 and 12 were collected on the days of sampling at the
eastern periphery of that cyclone and at the southern periphery of the TE
with the yellow streamer there. Station 10, with the highest measured
level of the <inline-formula><mml:math id="M60" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup></mml:math></inline-formula>Cs concentration of <inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mn mathvariant="normal">137</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">173.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">9.9</mml:mn></mml:mrow></mml:math></inline-formula> mBq kg<inline-formula><mml:math id="M62" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, was located at 38<inline-formula><mml:math id="M63" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 144<inline-formula><mml:math id="M64" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E
inside the wide streamer of yellow water around the TE. Stations 11 and
12, with <inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mn mathvariant="normal">137</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">103.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5.9</mml:mn></mml:mrow></mml:math></inline-formula> mBq kg<inline-formula><mml:math id="M66" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and <inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mn mathvariant="normal">137</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">93.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.9</mml:mn></mml:mrow></mml:math></inline-formula> mBq kg<inline-formula><mml:math id="M68" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, respectively, were located within the narrow
streamers with yellow simulated water in Fig. <xref ref-type="fig" rid="Ch1.F2"/>c intermitted
with narrow streamers of red water. So, we estimate the likelihood of finding
Fukushima-derived radionuclides there (the magenta diamonds) to be much
higher than at stations 13 and 14 (the green diamonds), and it is confirmed by
a qualitative comparison with measured data.</p>
      <p>A specific configuration of mesoscale eddies occurred in the area to the
northeast of the FNPP at the end of July 2011, the days of sampling by
<xref ref-type="bibr" rid="bib1.bibx11" id="text.30"/> along the 144<inline-formula><mml:math id="M69" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E meridian from
35  to 41<inline-formula><mml:math id="M70" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N during the R/V <italic>Kaiun maru</italic> cruise.
That transect is shown in Fig. <xref ref-type="fig" rid="Ch1.F2"/>d. It crosses the TE and the
cyclone with blue Oyashio water, which is genetically linked to the
blue cyclone at 39.9<inline-formula><mml:math id="M71" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 144.7<inline-formula><mml:math id="M72" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E in
Fig. <xref ref-type="fig" rid="Ch1.F2"/>b. The transect also partly crosses the periphery of the
anticyclonic HE. The measured <inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> concentrations in
surface seawater samples at the stations C43–C55 were found to be in
the range from the background level, <inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula> mBq kg<inline-formula><mml:math id="M75" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (station
C52), to a much higher level of <inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:mn mathvariant="normal">153</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">6.8</mml:mn></mml:mrow></mml:math></inline-formula> mBq kg<inline-formula><mml:math id="M77" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (station C47).
The colored tracking maps in Fig. 5 by <xref ref-type="bibr" rid="bib1.bibx29" id="text.31"/> show where the
simulated tracers of that transect were moving from  11 March to 10 April,
2011, being advected by the AVISO velocity field.</p>
      <p>The risk of radioactive contamination of the markers placed at
36–36.5<inline-formula><mml:math id="M78" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N was estimated by <xref ref-type="bibr" rid="bib1.bibx29" id="text.32"/>, to be small,
because they were advected mainly by the Kuroshio Current from the
southwest to the east (the corresponding concentrations were measured by
<xref ref-type="bibr" rid="bib1.bibx11" id="altparen.33"/>, to be 2–5 mBq kg<inline-formula><mml:math id="M79" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). The present simulation in
Fig. <xref ref-type="fig" rid="Ch1.F2"/>d also shows that stations C51, 52 and 53 (the green
diamonds), with the measured cesium concentrations at the background level on
the days of sampling by <xref ref-type="bibr" rid="bib1.bibx11" id="text.34"/> were located in the red
waters (stations C51 and C53) advected by the main Kuroshio jet from the
southwest and in the white waters (station C52) between the TE and the
jet. Therefore, we estimate the likelihood of finding Fukushima-derived radionuclides
there to be comparatively low.</p>
      <p>The transect 36.5–38<inline-formula><mml:math id="M80" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N in Fig. <xref ref-type="fig" rid="Ch1.F2"/>d (the red one in
Fig. 5 by <xref ref-type="bibr" rid="bib1.bibx29" id="altparen.35"/>) crossed the TE. The <inline-formula><mml:math id="M81" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup></mml:math></inline-formula>Cs concentrations
at the stations C49 and C50 of that transect were measured to be <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:mn mathvariant="normal">36</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.3</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:mn mathvariant="normal">50</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.6</mml:mn></mml:mrow></mml:math></inline-formula> mBq kg<inline-formula><mml:math id="M84" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx11" id="paren.36"/>. Comparing those
results with simulated ones, we note the presence of yellow water in the
TE core at the locations of those stations. Surface samples at station C48
(38.5<inline-formula><mml:math id="M85" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N) were measured to contain the <inline-formula><mml:math id="M86" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup></mml:math></inline-formula>Cs
concentration to be at the background level <inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula> mBq kg<inline-formula><mml:math id="M88" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
<xref ref-type="bibr" rid="bib1.bibx11" id="paren.37"/>. The corresponding green diamond is located in our
simulation in the area with red and white waters.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><caption><p><bold>(a)</bold>–<bold>(b)</bold> The Lagrangian maps show evolution of
the Hokkaido eddy (HE) after the FNPP accident to the days of its sampling
and the origin of waters in its core and at the periphery. <bold>(c)</bold>–<bold>(d)</bold> A fragment of the track of the drifter no. 39123 is indicated by
the full circles for 3 days before the day indicated with the size of
circles increasing in time. Tracks of three Argo floats are shown by the
stars. The largest star corresponds to the day indicated and the other ones each
show float positions 7 days before and after that date.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://os.copernicus.org/articles/13/453/2017/os-13-453-2017-f03.png"/>

        </fig>

      <p>Inspecting the Lagrangian maps on the days between 6 June and 28 July (not
shown), we have found that the yellow cyclone with the center at
37.2<inline-formula><mml:math id="M89" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 142.8<inline-formula><mml:math id="M90" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E in Fig. <xref ref-type="fig" rid="Ch1.F2"/>c collapsed at the
end of June. Its yellow core water with a high risk of being contaminated
was wrapped around the neighbor anticyclone TE in the form of a wide
yellow streamer visible in Fig. <xref ref-type="fig" rid="Ch1.F2"/>d. The highest concentration,
<inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mn mathvariant="normal">137</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">153</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">6.8</mml:mn></mml:mrow></mml:math></inline-formula> mBq kg<inline-formula><mml:math id="M92" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, was measured by <xref ref-type="bibr" rid="bib1.bibx11" id="text.38"/>
at station C47 (39<inline-formula><mml:math id="M93" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N), situated in the area of that streamer.
Stations C46 (39.5<inline-formula><mml:math id="M94" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N) with <inline-formula><mml:math id="M95" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mn mathvariant="normal">137</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">83</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5.0</mml:mn></mml:mrow></mml:math></inline-formula> mBq kg<inline-formula><mml:math id="M96" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> is
situated in the close proximity to a yellow streamer sandwiched between
white and black waters.</p>
      <p>A comparatively high concentration, <inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mn mathvariant="normal">137</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">65</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.3</mml:mn></mml:mrow></mml:math></inline-formula> mBq kg<inline-formula><mml:math id="M98" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, was
measured by <xref ref-type="bibr" rid="bib1.bibx11" id="text.39"/> at station C45 (40<inline-formula><mml:math id="M99" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N) during
the days of sampling in the core of the blue cyclone with the center at
39.7<inline-formula><mml:math id="M100" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 144.2<inline-formula><mml:math id="M101" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E (Fig. <xref ref-type="fig" rid="Ch1.F2"/>d). Our simulation
shows that it was formed mainly by Oyashio blue waters (with a low
risk of being contaminated by Fukushima-derived radionuclides) and partly by
white waters.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><caption><p>The Lagrangian maps in the study area in the first half of 2012.
<bold>(a)</bold> The locations of stations in the beginning of February with
surface seawater samples (collected by <xref ref-type="bibr" rid="bib1.bibx16" id="altparen.40"/>) with measured
radiocesium concentrations at the background level (the green diamonds) and
with higher concentration levels (the magenta diamonds). <bold>(b–d)</bold> The
Lagrangian maps show evolution of the Tsugaru eddy (TsE), which originated on
4 February 2012 <bold>(a)</bold> after splitting of the HE and was sampled by
<xref ref-type="bibr" rid="bib1.bibx3" id="text.41"/> at station 84 on 5 July 2012 and shown to have increased radiocesium
concentrations (the magenta diamond in <bold>d</bold>).</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://os.copernicus.org/articles/13/453/2017/os-13-453-2017-f04.png"/>

        </fig>

      <p>When comparing simulation results in Fig. <xref ref-type="fig" rid="Ch1.F2"/>d with the measurements by <xref ref-type="bibr" rid="bib1.bibx11" id="text.42"/>,
we have found that the simulation is consistent with samplings at stations C48, 51, 52 and 53 in the sense
that the cesium concentrations were measured to be at the background level in those places on
the maps where there is no signs of yellow water with a high risk of containing Fukushima-derived
radionuclides. Our simulation is also consistent, at least quantitatively, with samplings at stations
C47, 49 and 50 with high measured levels of the cesium concentrations because the yellow
water is present there in our simulation.</p>
      <p>However, there is an inconsistency of simulation with samplings at stations C45 and C46, where there
are practically no yellow tracers but rather only blue and white ones. The reasons for this inconsistency
might be different. In this paper we track only those tracers which originated from the blue,
red and black segments as well as the yellow rectangular around the FNPP shown in Fig. <xref ref-type="fig" rid="Ch1.F1"/>a. So we
did not specify the origin of white waters. They could reach their places on the maps from anywhere
besides those segments and the area around the FNPP. They could in principle contain Fukushima-derived
radionuclides that were deposited at the sea surface from the atmosphere after the accident and then
advected by eddies and currents in the area. Moreover, they could be those tracers which
were located inside AVISO grid cells near the coast around the FNPP just after the accident and were then
advected outside. We removed from consideration all the tracers entered into any AVISO
grid cell with two or more corners touching the land because of inaccuracy of the altimetry-based
velocity field there and in order to avoid artifacts.</p>
      <p>Thus, the white streamers inside the core and at the periphery of the blue
cyclone with the center at 39.7<inline-formula><mml:math id="M102" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 144.2<inline-formula><mml:math id="M103" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E (nearby
stations C45 and C46 with high measured concentrations of cesium by
<xref ref-type="bibr" rid="bib1.bibx11" id="altparen.43"/>) could, in principle, contain contaminated water.
However, it has not been proved in our simulation due to the above-mentioned reasons.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <title>The Hokkaido eddy</title>
      <p>Now we consider the anticyclonic HE. It originated in the middle of May (see
the yellow patch in Fig. <xref ref-type="fig" rid="Ch1.F2"/>b with the center at 40.3<inline-formula><mml:math id="M104" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N,
145.5<inline-formula><mml:math id="M105" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E), being genetically linked to the TE. During May, the TE
gradually lost a Fukushima yellow water from its periphery to form the
core of the HE. Fig. <xref ref-type="fig" rid="Ch1.F3"/>a shows the HE with a yellow core surrounded
by modified subtropical red water which, in turn, is surrounded by
Tsugaru black water.</p>
      <p>The sampling of that eddy and its periphery by <xref ref-type="bibr" rid="bib1.bibx11" id="text.44"/> along the
144<inline-formula><mml:math id="M106" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E meridian at the end of July showed comparatively high
concentrations of <inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mn mathvariant="normal">137</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">60</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.0</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:mn mathvariant="normal">71</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.6</mml:mn></mml:mrow></mml:math></inline-formula> mBq kg<inline-formula><mml:math id="M109" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at
stations C44 (40.5<inline-formula><mml:math id="M110" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N) and C43 (41<inline-formula><mml:math id="M111" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N), respectively.
Station C43 was located inside the anticyclone HE filled mainly by yellow
waters, and we estimate the likelihood of finding Fukushima-derived radionuclides
there to be large. Station C44 was located at the southern periphery of the
anticyclone HE at the boundary between white and blue waters but in
close proximity to a yellow streamer.</p>
      <p>The location of the HE on 24 August 2011 is shown in the AVISO velocity field
in Fig. <xref ref-type="fig" rid="Ch1.F1"/>b. To verify the simulated locations of the HE and its
form, we plot in Fig. <xref ref-type="fig" rid="Ch1.F3"/>c and d fragments of the tracks of a
drifter and three Argo floats captured by that eddy in September 2011. A
fragment of the track of the drifter no. 39123 is shown by the red circles
with the size increasing in time for 3 days before the dates indicated in
Figs. <xref ref-type="fig" rid="Ch1.F3"/>c and d and decreasing for 3 days after those dates, i.e.,
the largest circle corresponds to the drifter position at the indicated date.
It was launched after the accident on 18  July 2011 at the point
45.588<inline-formula><mml:math id="M112" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 151.583<inline-formula><mml:math id="M113" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E in the Oyashio Current, advected
by the current to the south and eventually captured by the HE moving around
clockwise. Fragments of the clockwise tracks of the three Argo floats are
shown by stars in Fig. <xref ref-type="fig" rid="Ch1.F3"/>c and d for 7 days before and 7 days after the indicated dates. The float no. 5902092 was released long
before the accident on September 9, 2008 at the point 32.699<inline-formula><mml:math id="M114" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N,
145.668<inline-formula><mml:math id="M115" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E to the south of the Kuroshio Extension jet and was
able to cross the jet and go far north. The float no. 2901019 was
released before the accident on 19 April 2010 at the point
41.723<inline-formula><mml:math id="M116" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 146.606<inline-formula><mml:math id="M117" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E. The float no. 2901048 was
released just after the accident on 10 April 2011 at the point
37.469<inline-formula><mml:math id="M118" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 141.403<inline-formula><mml:math id="M119" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E nearby the FNPP.</p>
      <p>Our simulation shows that the HE contained, after its formation in the middle
of May 2011, a large amount of yellow water probably contaminated by the
Fukushima-derived radionuclides. This conclusion is supported by an increased
concentration of radiocesium measured in its core at station C43 by
<xref ref-type="bibr" rid="bib1.bibx11" id="text.45"/> at the end of July 2011. The HE persisted in the area
around 42<inline-formula><mml:math id="M120" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 148<inline-formula><mml:math id="M121" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E up to the end of January of the
next year. It eventually split on 31 January 2012 into two anticyclones.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <title>The Tsugaru eddy</title>
      <p>The anticyclonic TsE originated on   4 February 2012 after decay of the HE (the
yellow patch with the elliptic point at 42<inline-formula><mml:math id="M122" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 145.6<inline-formula><mml:math id="M123" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E
in Fig. <xref ref-type="fig" rid="Ch1.F4"/>a). The elliptic point at the center of the TsE appeared
at 41.8<inline-formula><mml:math id="M124" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 146.9<inline-formula><mml:math id="M125" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E. Just after its birth, the HE
begun to transport its yellow water around the TsE with the core
consisted of an Oyashio blue water (Fig. <xref ref-type="fig" rid="Ch1.F4"/>b). The strong
Subarctic Front is visible in Fig. <xref ref-type="fig" rid="Ch1.F4"/> as a contrast boundary
between Oyashio blue water and Fukushima-derived yellow water, with
the Tsugaru black water in between.</p>
      <p>Seawater samples for radiocesium measurements in the frontal area were
collected during the R/V <italic>Mirai</italic> cruise from 31 January to 5 February
2012 along one of the observation lines of the World Ocean Circulation Experiment
(WOCE) in the western Pacific, specifically the WOCE-P10–P10N line
<xref ref-type="bibr" rid="bib1.bibx16" id="paren.46"/>. We impose on the simulated Lagrangian map in
Fig. <xref ref-type="fig" rid="Ch1.F4"/>a locations of stations to the north of the Kuroshio
Extension (<inline-formula><mml:math id="M126" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 36<inline-formula><mml:math id="M127" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N) with measured levels of the cesium
concentrations. As before, the green diamonds mark locations of those
stations, P10–114 (42.17<inline-formula><mml:math id="M128" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 143.8<inline-formula><mml:math id="M129" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E), P10–112
(41.75<inline-formula><mml:math id="M130" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 144.13<inline-formula><mml:math id="M131" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E), P10–110 (41.25<inline-formula><mml:math id="M132" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N,
144.51<inline-formula><mml:math id="M133" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E), P10–108 (40.76<inline-formula><mml:math id="M134" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 144.88<inline-formula><mml:math id="M135" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E),
P10–106 (40.08<inline-formula><mml:math id="M136" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 145.37<inline-formula><mml:math id="M137" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E) and
P10–104 (39.42<inline-formula><mml:math id="M138" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 145.85<inline-formula><mml:math id="M139" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E), where the cesium
concentrations in surface seawater samples were measured by
<xref ref-type="bibr" rid="bib1.bibx16" id="text.47"/> to be at the background level.</p>
      <p>The stations, P10–102 (38.75<inline-formula><mml:math id="M140" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 146.32<inline-formula><mml:math id="M141" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E), P10–100
(38.08<inline-formula><mml:math id="M142" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 146.77<inline-formula><mml:math id="M143" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E), P10–98 (37.42<inline-formula><mml:math id="M144" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N,
147.2<inline-formula><mml:math id="M145" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E), P10-96 (36.74<inline-formula><mml:math id="M146" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N,
147.63<inline-formula><mml:math id="M147" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E) and P10–94 (36.08<inline-formula><mml:math id="M148" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 148.05<inline-formula><mml:math id="M149" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E),
where the concentrations were found to be larger (but not exceeding <inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:mn mathvariant="normal">25.19</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.24</mml:mn></mml:mrow></mml:math></inline-formula> mBq kg<inline-formula><mml:math id="M151" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
for <inline-formula><mml:math id="M152" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup></mml:math></inline-formula>Cs), are indicated by the magenta diamonds. It is worth stressing a good qualitative
correspondence with our simulation results 10 months after the accident in the sense that stations
with measured background level are in the area of Oyashio blue waters with low risk of being
contaminated, whereas stations with comparatively high levels of radiocesium concentrations
are in the area of the Fukushima-derived yellow waters with increased risk of contamination.</p>
      <p>As to the TsE, it was sampled later, in 5 July   2012, during the cruise of the R/V <italic>Professor Gagarinskiy</italic>
<xref ref-type="bibr" rid="bib1.bibx3" id="paren.48"/> when it was a comparatively large mesoscale
eddy around 150 km in diameter with the elliptic point at
41.3<inline-formula><mml:math id="M153" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 147.3<inline-formula><mml:math id="M154" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E consisting of intermittent strips of
blue and yellow waters (Fig. <xref ref-type="fig" rid="Ch1.F4"/>d), which were wrapped
around during its growth from February to July 2012. Station 84 in that
cruise was located near the elliptic point of that eddy (called “G” by
<xref ref-type="bibr" rid="bib1.bibx3" id="altparen.49"/>). The concentrations of <inline-formula><mml:math id="M155" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup></mml:math></inline-formula>Cs at the surface and at
100 m depth were measured as <inline-formula><mml:math id="M156" display="inline"><mml:mrow><mml:mn mathvariant="normal">11</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula>  and <inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:mn mathvariant="normal">18</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn></mml:mrow></mml:math></inline-formula> mBq kg<inline-formula><mml:math id="M158" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, respectively, an order of magnitude larger than the
background level. As to the <inline-formula><mml:math id="M159" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">134</mml:mn></mml:msup><mml:mi mathvariant="normal">Cs</mml:mi></mml:mrow></mml:math></inline-formula> concentration, it was
measured to be smaller, <inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:mn mathvariant="normal">10.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn></mml:mrow></mml:math></inline-formula> mBq kg<inline-formula><mml:math id="M162" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, due
to a shorter half-lifetime of that isotope. In fact, it was one of the
highest cesium concentrations measured inside all the eddy features sampled
in the cruise 15 months after the accident.</p>
      <p>The maximal concentration of radionuclides was observed, as expected, not at
the surface but within subsurface and intermediate water layers (100–500 m)
in the potential density range of 26.5–26.7 due to a convergence and
subduction of surface water inside anticyclonic eddies. The corresponding
tracking map in Fig. 10c by <xref ref-type="bibr" rid="bib1.bibx3" id="text.50"/> confirms its genetic link with
the TE, and, therefore, a probability of detecting increased cesium
concentrations was expected to be comparatively large. We were able to track
all the modification of the TsE up to its death on 16 April 2013 in the
area around 40<inline-formula><mml:math id="M163" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 147.5<inline-formula><mml:math id="M164" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E.</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <title>Conclusions</title>
      <p>We elaborated a specific Lagrangian methodology for simulating, tracking and documenting the origin
and history of water masses in ocean mesoscale features. Integrating advection equations for
passive particles in the AVISO velocity field backward in time, we have computed Lagrangian maps
clearly demonstrating which waters the mesoscale eddies in the Kuroshio–Oyashio confluence
zone were composed of. It allowed the simulation of the ways in which they gained and lost water with a risk of being contaminated by Fukushima-derived radionuclides. We have studied three genetically linked
persistent mesoscale anticyclonic eddies in the area, TE, HE and TsE, which were sampled in
the R/V cruises in 2011 and 2012 and shown to contain higher concentrations of radiocesium isotopes.
The simulated Lagrangian maps allowed the documentation and analysis of how they interact and pass
radioactive water to each other. The simulated results have been shown to be in a good
qualitative correspondence compared with  in situ measurements.</p>
      <p>We hope that the proposed methodology could be applied to simulate propagation of pollutants
after future possible accidents and identify and track contaminated persistent features in
the ocean. The  Lagrangian methodology seems to be useful, as well, for planning courses of the
R/V cruises. It allows not only tracking of mesoscale eddies in the studied area but
also identification of the origin of water masses and to estimate  a priori concentrations of radionuclides,
pollutants or other Lagrangian tracers inside the eddies planned to be sampled.</p>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability">

      <p>The altimeter products were produced by Ssalto/Duacs and
distributed by AVISO, with support from Cnes
(<uri>http://www.aviso.altimetry.fr/duacs</uri>). The drifter data were collected
and made freely available by the Global Drifter Program
(<uri>http://www.aoml.noaa.gov/phod/dac</uri>) of the National Oceanic and
Atmospheric Administration, NOAA, USA. The data used cover the period up to
September 2016.</p>

      <p>For any questions regarding the simulations data, we encourage the reader to
contact the author at uleysky@poi.dvo.ru. There are very large files of a few
gigabytes in size that cannot be deposited in a reliable public data
repository.</p>
  </notes><notes notes-type="competinginterests">

      <p>The authors declare that they have no conflict of
interest.</p>
  </notes><ack><title>Acknowledgements</title><p>The methodological part of the work was supported by the Russian Foundation for
Basic Research (project no. 16-05-00213) and the simulations were supported by the
Russian Science Foundation (project no. 16–17–10025). The altimeter products were
distributed by AVISO with support from CNES.
<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: M. Hecht <?xmltex \hack{\newline}?>
Reviewed by: two anonymous referees</p></ack><ref-list>
    <title>References</title>

      <ref id="bib1.bibx1"><label>Aoyama et al.(2013)</label><mixed-citation>Aoyama, M., Uematsu, M., Tsumune, D., and Hamajima, Y.: Surface pathway of
radioactive plume of TEPCO Fukushima NPP1 released <inline-formula><mml:math id="M165" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">134</mml:mn></mml:msup></mml:math></inline-formula>Cs and <inline-formula><mml:math id="M166" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup></mml:math></inline-formula>Cs,
Biogeosciences, 10, 3067–3078, <ext-link xlink:href="https://doi.org/10.5194/bg-10-3067-2013" ext-link-type="DOI">10.5194/bg-10-3067-2013</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx2"><label>Budyansky et al.(2009)</label><mixed-citation>Budyansky, M. V., Uleysky, M. Y., and Prants, S. V.: Detection of barriers to
cross-jet Lagrangian transport and its destruction in a meandering flow,
Phys. Rev. E, 79, 056215, <ext-link xlink:href="https://doi.org/10.1103/physreve.79.056215" ext-link-type="DOI">10.1103/physreve.79.056215</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bibx3"><label>Budyansky et al.(2015)</label><mixed-citation>Budyansky, M. V., Goryachev, V. A., Kaplunenko, D. D., Lobanov, V. B., Prants,
S. V., Sergeev, A. F., Shlyk, N. V., and Uleysky, M. Y.: Role of mesoscale
eddies in transport of Fukushima-derived cesium isotopes in the ocean, Deep-Sea
Res. Pt. I, 96, 15–27, <ext-link xlink:href="https://doi.org/10.1016/j.dsr.2014.09.007" ext-link-type="DOI">10.1016/j.dsr.2014.09.007</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx4"><label>Buesseler et al.(2012)</label><mixed-citation>Buesseler, K. O., Jayne, S. R., Fisher, N. S., Rypina, I. I., Baumann, H.,
Baumann, Z., Breier, C. F., Douglass, E. M., George, J., Macdonald, A. M.,
Miyamoto, H., Nishikawa, J., Pike, S. M., and Yoshida, S.: Fukushima-derived
radionuclides in the ocean and biota off Japan, P. Natl.
Acad. Sci. USA, 109, 5984–5988, <ext-link xlink:href="https://doi.org/10.1073/pnas.1120794109" ext-link-type="DOI">10.1073/pnas.1120794109</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bibx5"><label>Haller(2015)</label><mixed-citation>Haller, G.: Lagrangian Coherent Structures, Annual Rev. Fluid Mech.,
47, 137–162, <ext-link xlink:href="https://doi.org/10.1146/annurev-fluid-010313-141322" ext-link-type="DOI">10.1146/annurev-fluid-010313-141322</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx6"><label>Haza et al.(2010)</label><mixed-citation>Haza, A. C., Özgökmen, T. M., Griffa, A., Molcard, A., Poulain,
P.-M., and Peggion, G.: Transport properties in small-scale coastal flows:
relative dispersion from VHF radar measurements in the Gulf of La
Spezia, Ocean Dynam., 60, 861–882, <ext-link xlink:href="https://doi.org/10.1007/s10236-010-0301-7" ext-link-type="DOI">10.1007/s10236-010-0301-7</ext-link>,
2010.</mixed-citation></ref>
      <ref id="bib1.bibx7"><label>Honda et al.(2012)</label><mixed-citation>
Honda, M. C., Aono, T., Aoyama, M., Hamajima, Y., Kawakami, H., Kitamura, M.,
Masumoto, Y., Miyazawa, Y., Takigawa, M., and Saino, T.: Dispersion of
artificial caesium-134 and -137 in the western North Pacific one month
after the Fukushima accident, Geochem. J., 46, e1–e9, 2012.</mixed-citation></ref>
      <ref id="bib1.bibx8"><label>Huntley et al.(2011)</label><mixed-citation>Huntley, H. S., Lipphardt, B. L., and Kirwan, A. D.: Monitoring and Modeling
the Deepwater Horizon Oil Spill: A Record-Breaking Enterprise, chap. Surface
Drift Predictions of the Deepwater Horizon Spill: The Lagrangian
Perspective,   179–195, American Geophysical Union, Washington, D. C.,
<ext-link xlink:href="https://doi.org/10.1029/2011GM001097" ext-link-type="DOI">10.1029/2011GM001097</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bibx9"><label>Inoue et al.(2012a)</label><mixed-citation>Inoue, M., Kofuji, H., Hamajima, Y., Nagao, S., Yoshida, K., and Yamamoto, M.:
<inline-formula><mml:math id="M167" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">134</mml:mn></mml:msup></mml:math></inline-formula>Cs and <inline-formula><mml:math id="M168" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup></mml:math></inline-formula>Cs activities in coastal seawater along
Northern Sanriku and Tsugaru Strait, northeastern Japan, after
Fukushima Dai-ichi Nuclear Power Plant accident, J.
Environ. Radioactiv., 111, 116–119,
<ext-link xlink:href="https://doi.org/10.1016/j.jenvrad.2011.09.012" ext-link-type="DOI">10.1016/j.jenvrad.2011.09.012</ext-link>, 2012a.</mixed-citation></ref>
      <ref id="bib1.bibx10"><label>Inoue et al.(2012b)</label><mixed-citation>Inoue, M., Kofuji, H., Nagao, S., Yamamoto, M., Hamajima, Y., Yoshida, K.,
Fujimoto, K., Takada, T., and Isoda, Y.: Lateral variation of <inline-formula><mml:math id="M169" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">134</mml:mn></mml:msup></mml:math></inline-formula>Cs
and <inline-formula><mml:math id="M170" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup></mml:math></inline-formula>Cs concentrations in surface seawater in and around the
Japan Sea after the Fukushima Dai-ichi Nuclear Power Plant
accident, J. Environ. Radioactiv., 109, 45–51,
<ext-link xlink:href="https://doi.org/10.1016/j.jenvrad.2012.01.004" ext-link-type="DOI">10.1016/j.jenvrad.2012.01.004</ext-link>, 2012b.</mixed-citation></ref>
      <ref id="bib1.bibx11"><label>Kaeriyama et al.(2013)</label><mixed-citation>Kaeriyama, H., Ambe, D., Shimizu, Y., Fujimoto, K., Ono, T., Yonezaki, S.,
Kato, Y., Matsunaga, H., Minami, H., Nakatsuka, S., and Watanabe, T.: Direct
observation of <inline-formula><mml:math id="M171" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">134</mml:mn></mml:msup></mml:math></inline-formula>Cs and <inline-formula><mml:math id="M172" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup></mml:math></inline-formula>Cs in surface seawater in the western
and central North Pacific after the Fukushima Dai-ichi nuclear power plant
accident, Biogeosciences, 10, 4287–4295, <ext-link xlink:href="https://doi.org/10.5194/bg-10-4287-2013" ext-link-type="DOI">10.5194/bg-10-4287-2013</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx12"><label>Kaeriyama et al.(2014)</label><mixed-citation>Kaeriyama, H., Shimizu, Y., Ambe, D., Masujima, M., Shigenobu, Y., Fujimoto,
K., Ono, T., Nishiuchi, K., Taneda, T., Kurogi, H., Setou, T., Sugisaki, H.,
Ichikawa, T., Hidaka, K., Hiroe, Y., Kusaka, A., Kodama, T., Kuriyama, M.,
Morita, H., Nakata, K., Morinaga, K., Morita, T., and Watanabe, T.: Southwest
Intrusion of <inline-formula><mml:math id="M173" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">134</mml:mn></mml:msup></mml:math></inline-formula>Cs and <inline-formula><mml:math id="M174" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup></mml:math></inline-formula>Cs Derived from the Fukushima
Dai-ichi Nuclear Power Plant Accident in the Western North Pacific,
Environ. Sci. Technol., 48, 3120–3127,
<ext-link xlink:href="https://doi.org/10.1021/es403686v" ext-link-type="DOI">10.1021/es403686v</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx13"><label>Kameník et al.(2013)</label><mixed-citation>Kameník, J., Dulaiova, H., Buesseler, K. O., Pike, S. M., and
Št'astná, K.: Cesium-134 and 137 activities in the central North
Pacific Ocean after the Fukushima Dai-ichi Nuclear Power Plant accident,
Biogeosciences, 10, 6045–6052, <ext-link xlink:href="https://doi.org/10.5194/bg-10-6045-2013" ext-link-type="DOI">10.5194/bg-10-6045-2013</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx14"><label>Kawai(1972)</label><mixed-citation>
Kawai, H.: Hydrography of the Kuroshio Extension, in: Kuroshio: Physical
Aspects of the Japan Current, edited by: Stommel, H. M. and Yoshida, K.,
University of Washington Press, Seattle,  235–352, 1972.</mixed-citation></ref>
      <ref id="bib1.bibx15"><label>Koshel' and Prants(2006)</label><mixed-citation>Koshel', K. V. and Prants, S. V.: Chaotic advection in the ocean,
Physics-Uspekhi, 49, 1151–1178, <ext-link xlink:href="https://doi.org/10.1070/PU2006v049n11ABEH006066" ext-link-type="DOI">10.1070/PU2006v049n11ABEH006066</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bibx16"><label>Kumamoto et al.(2014)</label><mixed-citation>Kumamoto, Y., Aoyama, M., Hamajima, Y., Aono, T., Kouketsu, S., Murata, A., and
Kawano, T.: Southward spreading of the Fukushima-derived radiocesium across
the Kuroshio Extension in the North Pacific, Scientific Reports, 4,
1–9, <ext-link xlink:href="https://doi.org/10.1038/srep04276" ext-link-type="DOI">10.1038/srep04276</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx17"><label>Mancho et al.(2006)</label><mixed-citation>Mancho, A. M., Small, D., and Wiggins, S.: A tutorial on dynamical systems
concepts applied to Lagrangian transport in oceanic flows defined as finite
time data sets: Theoretical and computational issues, Phys. Rep., 437,
55–124, <ext-link xlink:href="https://doi.org/10.1016/j.physrep.2006.09.005" ext-link-type="DOI">10.1016/j.physrep.2006.09.005</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bibx18"><label>Mezić et al.(2010)</label><mixed-citation>Mezić, I., Loire, S., Fonoberov, V. A., and Hogan, P.: A New Mixing
Diagnostic and Gulf Oil Spill Movement, Science, 330, 486–489,
<ext-link xlink:href="https://doi.org/10.1126/science.1194607" ext-link-type="DOI">10.1126/science.1194607</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bibx19"><label>Nencioli et al.(2011)</label><mixed-citation>Nencioli, F., d'Ovidio, F., Doglioli, A. M., and Petrenko, A. A.: Surface
coastal circulation patterns by in-situ detection of Lagrangian coherent
structures, Geophys. Res. Lett., 38, L17604,
<ext-link xlink:href="https://doi.org/10.1029/2011gl048815" ext-link-type="DOI">10.1029/2011gl048815</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bibx20"><label>Oikawa et al.(2013)</label><mixed-citation>Oikawa, S., Takata, H., Watabe, T., Misonoo, J., and Kusakabe, M.:
Distribution of the Fukushima-derived radionuclides in seawater in the
Pacific off the coast of Miyagi, Fukushima, and Ibaraki Prefectures, Japan,
Biogeosciences, 10, 5031–5047, <ext-link xlink:href="https://doi.org/10.5194/bg-10-5031-2013" ext-link-type="DOI">10.5194/bg-10-5031-2013</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx21"><label>Olascoaga and Haller(2012)</label><mixed-citation>Olascoaga, M. J. and Haller, G.: Forecasting sudden changes in environmental
pollution patterns, P. Natl. Acad. Sci. USA, 109,
4738–4743, <ext-link xlink:href="https://doi.org/10.1073/pnas.1118574109" ext-link-type="DOI">10.1073/pnas.1118574109</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bibx22"><label>Olascoaga et al.(2013)</label><mixed-citation>Olascoaga, M. J., Beron-Vera, F. J., Haller, G., Triñanes, J.,
Iskandarani, M., Coelho, E. F., Haus, B. K., Huntley, H. S., Jacobs, G.,
Kirwan, A. D., Lipphardt, B. L., Özgökmen, T. M., Reniers, A. J.
H. M., and Valle-Levinson, A.: Drifter motion in the Gulf of Mexico
constrained by altimetric Lagrangian coherent structures, Geophys.
Res. Lett., 40, 6171–6175, <ext-link xlink:href="https://doi.org/10.1002/2013gl058624" ext-link-type="DOI">10.1002/2013gl058624</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx23"><label>Povinec et al.(2013)</label><mixed-citation>Povinec, P. P., Hirose, K., and Aoyama, M.: Fukushima Accident:
Radioactivity Impact on the Environment, Elsevier, Amsterdam,
<ext-link xlink:href="https://doi.org/10.1016/B978-0-12-408132-1.01001-9" ext-link-type="DOI">10.1016/B978-0-12-408132-1.01001-9</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx24"><label>Prants(2013)</label><mixed-citation>Prants, S. V.: Dynamical systems theory methods to study mixing and transport
in the ocean, Phys. Scripta, 87, 038115,
<ext-link xlink:href="https://doi.org/10.1088/0031-8949/87/03/038115" ext-link-type="DOI">10.1088/0031-8949/87/03/038115</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx25"><label>Prants(2014)</label><mixed-citation>Prants, S. V.: Chaotic Lagrangian transport and mixing in the ocean, The
European Physical Journal Special Topics, 223, 2723–2743,
<ext-link xlink:href="https://doi.org/10.1140/epjst/e2014-02288-5" ext-link-type="DOI">10.1140/epjst/e2014-02288-5</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx26"><label>Prants et al.(2011a)</label><mixed-citation>Prants, S. V., Budyansky, M. V., Ponomarev, V. I., and Uleysky, M. Y.:
Lagrangian study of transport and mixing in a mesoscale eddy street, Ocean
Model., 38, 114–125, <ext-link xlink:href="https://doi.org/10.1016/j.ocemod.2011.02.008" ext-link-type="DOI">10.1016/j.ocemod.2011.02.008</ext-link>,
2011a.</mixed-citation></ref>
      <ref id="bib1.bibx27"><label>Prants et al.(2011b)</label><mixed-citation>Prants, S. V., Uleysky, M. Y., and Budyansky, M. V.: Numerical simulation of
propagation of radioactive pollution in the ocean from the Fukushima
Dai-ichi nuclear power plant, Dokl. Earth Sci., 439, 1179–1182,
<ext-link xlink:href="https://doi.org/10.1134/S1028334X11080277" ext-link-type="DOI">10.1134/S1028334X11080277</ext-link>, 2011b.</mixed-citation></ref>
      <ref id="bib1.bibx28"><label>Prants et al.(2013)</label><mixed-citation>Prants, S. V., Ponomarev, V. I., Budyansky, M. V., Uleysky, M. Y., and Fayman,
P. A.: Lagrangian analysis of mixing and transport of water masses in the
marine bays, Izvestiya, Atmos. Ocean. Phys., 49, 82–96,
<ext-link xlink:href="https://doi.org/10.1134/S0001433813010088" ext-link-type="DOI">10.1134/S0001433813010088</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx29"><label>Prants et al.(2014)</label><mixed-citation>Prants, S. V., Budyansky, M. V., and Uleysky, M. Yu.: Lagrangian study of
surface transport in the Kuroshio Extension area based on simulation of
propagation of Fukushima-derived radionuclides, Nonlin. Processes Geophys.,
21, 279–289, <ext-link xlink:href="https://doi.org/10.5194/npg-21-279-2014" ext-link-type="DOI">10.5194/npg-21-279-2014</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx30"><label>Prants et al.(2016)</label><mixed-citation>Prants, S. V., Lobanov, V. B., Budyansky, M. V., and Uleysky, M. Y.: Lagrangian
analysis of formation, structure, evolution and splitting of anticyclonic
Kuril eddies, Deep-Sea Res. Pt. I, 109,  61–75, <ext-link xlink:href="https://doi.org/10.1016/j.dsr.2016.01.003" ext-link-type="DOI">10.1016/j.dsr.2016.01.003</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx31"><label>Samelson and Wiggins(2006)</label><mixed-citation>Samelson, R. M. and Wiggins, S.: Lagrangian Transport in Geophysical Jets and
Waves: The Dynamical Systems Approach, vol. 31 of Interdisciplinary
Applied Mathematics, Springer Science+Business Media, LLC,
<ext-link xlink:href="https://doi.org/10.1007/978-0-387-46213-4" ext-link-type="DOI">10.1007/978-0-387-46213-4</ext-link>, 2006.
</mixed-citation></ref><?xmltex \hack{\newpage}?>
      <ref id="bib1.bibx32"><label>Tsumune et al.(2012)</label><mixed-citation>Tsumune, D., Tsubono, T., Aoyama, M., and Hirose, K.: Distribution of oceanic
<inline-formula><mml:math id="M175" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup></mml:math></inline-formula>Cs from the Fukushima Dai-ichi Nuclear Power Plant
simulated numerically by a regional ocean model, J. Environ.
Radioactiv., 111, 100–108, <ext-link xlink:href="https://doi.org/10.1016/j.jenvrad.2011.10.007" ext-link-type="DOI">10.1016/j.jenvrad.2011.10.007</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bibx33"><label>Tsumune et al.(2013)</label><mixed-citation>Tsumune, D., Tsubono, T., Aoyama, M., Uematsu, M., Misumi, K., Maeda, Y.,
Yoshida, Y., and Hayami, H.: One-year, regional-scale simulation of
<inline-formula><mml:math id="M176" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup></mml:math></inline-formula>Cs radioactivity in the ocean following the Fukushima Dai-ichi
Nuclear Power Plant accident, Biogeosciences, 10, 5601–5617,
<ext-link xlink:href="https://doi.org/10.5194/bg-10-5601-2013" ext-link-type="DOI">10.5194/bg-10-5601-2013</ext-link>, 2013.</mixed-citation></ref>

  </ref-list><app-group content-type="float"><app><title/>

    </app></app-group></back>
    <!--<article-title-html>Lagrangian simulation and tracking of the mesoscale eddies contaminated by Fukushima-derived radionuclides</article-title-html>
<abstract-html><p class="p">A Lagrangian methodology is developed to simulate, track, document
and analyze the origin and history of water masses in ocean mesoscale features.
It aims to distinguish whether water masses inside the mesoscale eddies
originated from the main currents in the Kuroshio–Oyashio confluence zone.
By computing trajectories for a large number of synthetic Lagrangian
particles advected by the AVISO velocity field after the Fukushima accident,
we identify and track the mesoscale eddies which were sampled in the
cruises in 2011 and 2012 and estimate their risk of being contaminated by
Fukushima-derived radionuclides. The simulated results are compared with in
situ measurements, showing a good qualitative correspondence.</p></abstract-html>
<ref-html id="bib1.bib1"><label>Aoyama et al.(2013)</label><mixed-citation>
Aoyama, M., Uematsu, M., Tsumune, D., and Hamajima, Y.: Surface pathway of
radioactive plume of TEPCO Fukushima NPP1 released <sup>134</sup>Cs and <sup>137</sup>Cs,
Biogeosciences, 10, 3067–3078, <a href="https://doi.org/10.5194/bg-10-3067-2013" target="_blank">doi:10.5194/bg-10-3067-2013</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>Budyansky et al.(2009)</label><mixed-citation>
Budyansky, M. V., Uleysky, M. Y., and Prants, S. V.: Detection of barriers to
cross-jet Lagrangian transport and its destruction in a meandering flow,
Phys. Rev. E, 79, 056215, <a href="https://doi.org/10.1103/physreve.79.056215" target="_blank">doi:10.1103/physreve.79.056215</a>, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>Budyansky et al.(2015)</label><mixed-citation>
Budyansky, M. V., Goryachev, V. A., Kaplunenko, D. D., Lobanov, V. B., Prants,
S. V., Sergeev, A. F., Shlyk, N. V., and Uleysky, M. Y.: Role of mesoscale
eddies in transport of Fukushima-derived cesium isotopes in the ocean, Deep-Sea
Res. Pt. I, 96, 15–27, <a href="https://doi.org/10.1016/j.dsr.2014.09.007" target="_blank">doi:10.1016/j.dsr.2014.09.007</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>Buesseler et al.(2012)</label><mixed-citation>
Buesseler, K. O., Jayne, S. R., Fisher, N. S., Rypina, I. I., Baumann, H.,
Baumann, Z., Breier, C. F., Douglass, E. M., George, J., Macdonald, A. M.,
Miyamoto, H., Nishikawa, J., Pike, S. M., and Yoshida, S.: Fukushima-derived
radionuclides in the ocean and biota off Japan, P. Natl.
Acad. Sci. USA, 109, 5984–5988, <a href="https://doi.org/10.1073/pnas.1120794109" target="_blank">doi:10.1073/pnas.1120794109</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>Haller(2015)</label><mixed-citation>
Haller, G.: Lagrangian Coherent Structures, Annual Rev. Fluid Mech.,
47, 137–162, <a href="https://doi.org/10.1146/annurev-fluid-010313-141322" target="_blank">doi:10.1146/annurev-fluid-010313-141322</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>Haza et al.(2010)</label><mixed-citation>
Haza, A. C., Özgökmen, T. M., Griffa, A., Molcard, A., Poulain,
P.-M., and Peggion, G.: Transport properties in small-scale coastal flows:
relative dispersion from VHF radar measurements in the Gulf of La
Spezia, Ocean Dynam., 60, 861–882, <a href="https://doi.org/10.1007/s10236-010-0301-7" target="_blank">doi:10.1007/s10236-010-0301-7</a>,
2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>Honda et al.(2012)</label><mixed-citation>
Honda, M. C., Aono, T., Aoyama, M., Hamajima, Y., Kawakami, H., Kitamura, M.,
Masumoto, Y., Miyazawa, Y., Takigawa, M., and Saino, T.: Dispersion of
artificial caesium-134 and -137 in the western North Pacific one month
after the Fukushima accident, Geochem. J., 46, e1–e9, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>Huntley et al.(2011)</label><mixed-citation>
Huntley, H. S., Lipphardt, B. L., and Kirwan, A. D.: Monitoring and Modeling
the Deepwater Horizon Oil Spill: A Record-Breaking Enterprise, chap. Surface
Drift Predictions of the Deepwater Horizon Spill: The Lagrangian
Perspective,   179–195, American Geophysical Union, Washington, D. C.,
<a href="https://doi.org/10.1029/2011GM001097" target="_blank">doi:10.1029/2011GM001097</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>Inoue et al.(2012a)</label><mixed-citation>
Inoue, M., Kofuji, H., Hamajima, Y., Nagao, S., Yoshida, K., and Yamamoto, M.:
<sup>134</sup>Cs and <sup>137</sup>Cs activities in coastal seawater along
Northern Sanriku and Tsugaru Strait, northeastern Japan, after
Fukushima Dai-ichi Nuclear Power Plant accident, J.
Environ. Radioactiv., 111, 116–119,
<a href="https://doi.org/10.1016/j.jenvrad.2011.09.012" target="_blank">doi:10.1016/j.jenvrad.2011.09.012</a>, 2012a.
</mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>Inoue et al.(2012b)</label><mixed-citation>
Inoue, M., Kofuji, H., Nagao, S., Yamamoto, M., Hamajima, Y., Yoshida, K.,
Fujimoto, K., Takada, T., and Isoda, Y.: Lateral variation of <sup>134</sup>Cs
and <sup>137</sup>Cs concentrations in surface seawater in and around the
Japan Sea after the Fukushima Dai-ichi Nuclear Power Plant
accident, J. Environ. Radioactiv., 109, 45–51,
<a href="https://doi.org/10.1016/j.jenvrad.2012.01.004" target="_blank">doi:10.1016/j.jenvrad.2012.01.004</a>, 2012b.
</mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>Kaeriyama et al.(2013)</label><mixed-citation>
Kaeriyama, H., Ambe, D., Shimizu, Y., Fujimoto, K., Ono, T., Yonezaki, S.,
Kato, Y., Matsunaga, H., Minami, H., Nakatsuka, S., and Watanabe, T.: Direct
observation of <sup>134</sup>Cs and <sup>137</sup>Cs in surface seawater in the western
and central North Pacific after the Fukushima Dai-ichi nuclear power plant
accident, Biogeosciences, 10, 4287–4295, <a href="https://doi.org/10.5194/bg-10-4287-2013" target="_blank">doi:10.5194/bg-10-4287-2013</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>Kaeriyama et al.(2014)</label><mixed-citation>
Kaeriyama, H., Shimizu, Y., Ambe, D., Masujima, M., Shigenobu, Y., Fujimoto,
K., Ono, T., Nishiuchi, K., Taneda, T., Kurogi, H., Setou, T., Sugisaki, H.,
Ichikawa, T., Hidaka, K., Hiroe, Y., Kusaka, A., Kodama, T., Kuriyama, M.,
Morita, H., Nakata, K., Morinaga, K., Morita, T., and Watanabe, T.: Southwest
Intrusion of <sup>134</sup>Cs and <sup>137</sup>Cs Derived from the Fukushima
Dai-ichi Nuclear Power Plant Accident in the Western North Pacific,
Environ. Sci. Technol., 48, 3120–3127,
<a href="https://doi.org/10.1021/es403686v" target="_blank">doi:10.1021/es403686v</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>Kameník et al.(2013)</label><mixed-citation>
Kameník, J., Dulaiova, H., Buesseler, K. O., Pike, S. M., and
Št'astná, K.: Cesium-134 and 137 activities in the central North
Pacific Ocean after the Fukushima Dai-ichi Nuclear Power Plant accident,
Biogeosciences, 10, 6045–6052, <a href="https://doi.org/10.5194/bg-10-6045-2013" target="_blank">doi:10.5194/bg-10-6045-2013</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>Kawai(1972)</label><mixed-citation>
Kawai, H.: Hydrography of the Kuroshio Extension, in: Kuroshio: Physical
Aspects of the Japan Current, edited by: Stommel, H. M. and Yoshida, K.,
University of Washington Press, Seattle,  235–352, 1972.
</mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>Koshel' and Prants(2006)</label><mixed-citation>
Koshel', K. V. and Prants, S. V.: Chaotic advection in the ocean,
Physics-Uspekhi, 49, 1151–1178, <a href="https://doi.org/10.1070/PU2006v049n11ABEH006066" target="_blank">doi:10.1070/PU2006v049n11ABEH006066</a>, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>Kumamoto et al.(2014)</label><mixed-citation>
Kumamoto, Y., Aoyama, M., Hamajima, Y., Aono, T., Kouketsu, S., Murata, A., and
Kawano, T.: Southward spreading of the Fukushima-derived radiocesium across
the Kuroshio Extension in the North Pacific, Scientific Reports, 4,
1–9, <a href="https://doi.org/10.1038/srep04276" target="_blank">doi:10.1038/srep04276</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>Mancho et al.(2006)</label><mixed-citation>
Mancho, A. M., Small, D., and Wiggins, S.: A tutorial on dynamical systems
concepts applied to Lagrangian transport in oceanic flows defined as finite
time data sets: Theoretical and computational issues, Phys. Rep., 437,
55–124, <a href="https://doi.org/10.1016/j.physrep.2006.09.005" target="_blank">doi:10.1016/j.physrep.2006.09.005</a>, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>Mezić et al.(2010)</label><mixed-citation>
Mezić, I., Loire, S., Fonoberov, V. A., and Hogan, P.: A New Mixing
Diagnostic and Gulf Oil Spill Movement, Science, 330, 486–489,
<a href="https://doi.org/10.1126/science.1194607" target="_blank">doi:10.1126/science.1194607</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>Nencioli et al.(2011)</label><mixed-citation>
Nencioli, F., d'Ovidio, F., Doglioli, A. M., and Petrenko, A. A.: Surface
coastal circulation patterns by in-situ detection of Lagrangian coherent
structures, Geophys. Res. Lett., 38, L17604,
<a href="https://doi.org/10.1029/2011gl048815" target="_blank">doi:10.1029/2011gl048815</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>Oikawa et al.(2013)</label><mixed-citation>
Oikawa, S., Takata, H., Watabe, T., Misonoo, J., and Kusakabe, M.:
Distribution of the Fukushima-derived radionuclides in seawater in the
Pacific off the coast of Miyagi, Fukushima, and Ibaraki Prefectures, Japan,
Biogeosciences, 10, 5031–5047, <a href="https://doi.org/10.5194/bg-10-5031-2013" target="_blank">doi:10.5194/bg-10-5031-2013</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>Olascoaga and Haller(2012)</label><mixed-citation>
Olascoaga, M. J. and Haller, G.: Forecasting sudden changes in environmental
pollution patterns, P. Natl. Acad. Sci. USA, 109,
4738–4743, <a href="https://doi.org/10.1073/pnas.1118574109" target="_blank">doi:10.1073/pnas.1118574109</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>Olascoaga et al.(2013)</label><mixed-citation>
Olascoaga, M. J., Beron-Vera, F. J., Haller, G., Triñanes, J.,
Iskandarani, M., Coelho, E. F., Haus, B. K., Huntley, H. S., Jacobs, G.,
Kirwan, A. D., Lipphardt, B. L., Özgökmen, T. M., Reniers, A. J.
H. M., and Valle-Levinson, A.: Drifter motion in the Gulf of Mexico
constrained by altimetric Lagrangian coherent structures, Geophys.
Res. Lett., 40, 6171–6175, <a href="https://doi.org/10.1002/2013gl058624" target="_blank">doi:10.1002/2013gl058624</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>Povinec et al.(2013)</label><mixed-citation>
Povinec, P. P., Hirose, K., and Aoyama, M.: Fukushima Accident:
Radioactivity Impact on the Environment, Elsevier, Amsterdam,
<a href="https://doi.org/10.1016/B978-0-12-408132-1.01001-9" target="_blank">doi:10.1016/B978-0-12-408132-1.01001-9</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>Prants(2013)</label><mixed-citation>
Prants, S. V.: Dynamical systems theory methods to study mixing and transport
in the ocean, Phys. Scripta, 87, 038115,
<a href="https://doi.org/10.1088/0031-8949/87/03/038115" target="_blank">doi:10.1088/0031-8949/87/03/038115</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>Prants(2014)</label><mixed-citation>
Prants, S. V.: Chaotic Lagrangian transport and mixing in the ocean, The
European Physical Journal Special Topics, 223, 2723–2743,
<a href="https://doi.org/10.1140/epjst/e2014-02288-5" target="_blank">doi:10.1140/epjst/e2014-02288-5</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>Prants et al.(2011a)</label><mixed-citation>
Prants, S. V., Budyansky, M. V., Ponomarev, V. I., and Uleysky, M. Y.:
Lagrangian study of transport and mixing in a mesoscale eddy street, Ocean
Model., 38, 114–125, <a href="https://doi.org/10.1016/j.ocemod.2011.02.008" target="_blank">doi:10.1016/j.ocemod.2011.02.008</a>,
2011a.
</mixed-citation></ref-html>
<ref-html id="bib1.bib27"><label>Prants et al.(2011b)</label><mixed-citation>
Prants, S. V., Uleysky, M. Y., and Budyansky, M. V.: Numerical simulation of
propagation of radioactive pollution in the ocean from the Fukushima
Dai-ichi nuclear power plant, Dokl. Earth Sci., 439, 1179–1182,
<a href="https://doi.org/10.1134/S1028334X11080277" target="_blank">doi:10.1134/S1028334X11080277</a>, 2011b.
</mixed-citation></ref-html>
<ref-html id="bib1.bib28"><label>Prants et al.(2013)</label><mixed-citation>
Prants, S. V., Ponomarev, V. I., Budyansky, M. V., Uleysky, M. Y., and Fayman,
P. A.: Lagrangian analysis of mixing and transport of water masses in the
marine bays, Izvestiya, Atmos. Ocean. Phys., 49, 82–96,
<a href="https://doi.org/10.1134/S0001433813010088" target="_blank">doi:10.1134/S0001433813010088</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib29"><label>Prants et al.(2014)</label><mixed-citation>
Prants, S. V., Budyansky, M. V., and Uleysky, M. Yu.: Lagrangian study of
surface transport in the Kuroshio Extension area based on simulation of
propagation of Fukushima-derived radionuclides, Nonlin. Processes Geophys.,
21, 279–289, <a href="https://doi.org/10.5194/npg-21-279-2014" target="_blank">doi:10.5194/npg-21-279-2014</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib30"><label>Prants et al.(2016)</label><mixed-citation>
Prants, S. V., Lobanov, V. B., Budyansky, M. V., and Uleysky, M. Y.: Lagrangian
analysis of formation, structure, evolution and splitting of anticyclonic
Kuril eddies, Deep-Sea Res. Pt. I, 109,  61–75, <a href="https://doi.org/10.1016/j.dsr.2016.01.003" target="_blank">doi:10.1016/j.dsr.2016.01.003</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib31"><label>Samelson and Wiggins(2006)</label><mixed-citation>
Samelson, R. M. and Wiggins, S.: Lagrangian Transport in Geophysical Jets and
Waves: The Dynamical Systems Approach, vol. 31 of Interdisciplinary
Applied Mathematics, Springer Science+Business Media, LLC,
<a href="https://doi.org/10.1007/978-0-387-46213-4" target="_blank">doi:10.1007/978-0-387-46213-4</a>, 2006.

</mixed-citation></ref-html>
<ref-html id="bib1.bib32"><label>Tsumune et al.(2012)</label><mixed-citation>
Tsumune, D., Tsubono, T., Aoyama, M., and Hirose, K.: Distribution of oceanic
<sup>137</sup>Cs from the Fukushima Dai-ichi Nuclear Power Plant
simulated numerically by a regional ocean model, J. Environ.
Radioactiv., 111, 100–108, <a href="https://doi.org/10.1016/j.jenvrad.2011.10.007" target="_blank">doi:10.1016/j.jenvrad.2011.10.007</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib33"><label>Tsumune et al.(2013)</label><mixed-citation>
Tsumune, D., Tsubono, T., Aoyama, M., Uematsu, M., Misumi, K., Maeda, Y.,
Yoshida, Y., and Hayami, H.: One-year, regional-scale simulation of
<sup>137</sup>Cs radioactivity in the ocean following the Fukushima Dai-ichi
Nuclear Power Plant accident, Biogeosciences, 10, 5601–5617,
<a href="https://doi.org/10.5194/bg-10-5601-2013" target="_blank">doi:10.5194/bg-10-5601-2013</a>, 2013.
</mixed-citation></ref-html>--></article>
