The physical and biological impact of a small island wake in the deep ocean

Abstract A primitive equation numerical model is used to systematically investigate wake formations at Cato Island (155°32′E, 23°15′S) under a variety of realistic flow conditions. The model faithfully reproduces the key features of data obtained in the vicinity of the island under conditions of “strong” ( ∼0.7 m s −1 ) and “weak” ( ∼0.3 m s −1 ) incident currents. For the strong inflow study, a vortex shedding wake is indicated, with an eddy shedding period of approximately 36 h . Interaction between wake and free stream currents produces strong downwelling and upwelling in regions of flow convergence and divergence, respectively. For the weak inflow case, a Lagrangian analysis of wake currents shows strong particle retention properties and vertical pumping in the wake; these results are consistent with observations of nutrient uplift and biological enhancement (the “island mass effect”) in the vicinity of the island in February, 1993. Numerical sensitivity experiments demonstrate that incident flow speed, background rotation rate and coastal island geometry each have a strong controlling influence on wake formations. Increasing the background rotation rate reduces the frequency of eddy shedding, while disproportionately increasing the circulation strength within shed eddies. For the biologically important non-shedding flow scenario, Lagrangian wake characteristics are examined in detail using the float-tracking scheme of the numerical model. It is found that unsteadiness severely compromises wake retention of passively drifting particles. Coastal geometry also has a strong controlling influence on wake retention. The numerical experiments suggest that particle retention in island wakes has a “hair trigger” characteristic controlled by incident flow speed and direction. This simple but powerful observation is used as the basis for a new proposal to explain the long-standing recruitment problem of biological oceanography. Good overall agreement between field data and numerical predictions further establishes two-dimensional representations of island topography as a viable and computationally efficient alternative to full, three-dimensional modelling, when the modelled flows are “dynamically deep”.

[1]  Alan F. Blumberg,et al.  Open Boundary Condition for Circulation Models , 1985 .

[2]  John D. McCalpin A comparison of second‐order and fourth‐order pressure gradient algorithms in a σ‐co‐ordinate ocean model , 1994 .

[3]  Eric D. Barton,et al.  Lee region of Gran Canaria , 2000 .

[4]  W. R. Holland,et al.  Stratified rotating flow over and around isolated three-dimensional topography , 1987, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[5]  Dale B. Haidvogel,et al.  A semi-spectral primitive equation ocean circulation model using vertical sigma and orthogonal curvilinear horizontal coordinates , 1991 .

[6]  M. Tomczak,et al.  Effects of mixed-layer depth and an isolated coral reef on the strong complexing capacity of oligotropic waters , 1987 .

[7]  P. Davies,et al.  Observations of flow separation by an isolated island , 1990 .

[8]  D. Stevens,et al.  Eddy formation behind the tropical island of Aldabra , 1996 .

[9]  D. Haidvogel,et al.  A semi-implicit ocean circulation model using a generalized topography-following coordinate system , 1994 .

[10]  P. Marchesiello,et al.  A sigma-coordinate primitive equation model for studying the circulation in the South Atlantic Part II: Meridional transports and seasonal variability , 1998 .

[11]  Peter Coutis,et al.  Flow-topography interaction in the vicinity of an isolated, deep ocean island , 1999 .

[12]  S. Levin Lectu re Notes in Biomathematics , 1983 .

[13]  Eric D. Barton,et al.  The influence of island-generated eddies on chlorophyll distribution : a study of mesoscale variation around Gran Canaria , 1997 .

[14]  K. Black Reef-Scale Numerical Hydrodynamic Modelling Developed to Investigate Crown-of-Thorns Starfish Outbreaks , 1990 .

[15]  Malcolm J. Bowman,et al.  Numerical studies of small island wakes in the ocean , 1996 .

[16]  Andrew M. Moore,et al.  The Nonnormality of Coastal Ocean Flows around Obstacles, and Their Response to Stochastic Forcing , 2002 .

[17]  R. Courant,et al.  Über die partiellen Differenzengleichungen der mathematischen Physik , 1928 .

[18]  R. Pacanowski,et al.  Parameterization of Vertical Mixing in Numerical Models of Tropical Oceans , 1981 .

[19]  K. Black,et al.  Numerical models show coral reefs can be self-seeding , 1991 .

[20]  Phillip S. Lobel,et al.  Transport and entrapment of fish larvae by ocean mesoscale eddies and currents in Hawaiian waters , 1986 .

[21]  Dale B. Haidvogel,et al.  Formation of Taylor caps over a tall isolated seamount in a stratified ocean , 1992 .

[22]  D. Stevens On open boundary conditions for three dimensional primitive equation ocean circulation models , 1990 .

[23]  E. Hofmann,et al.  Modeling nutrient and plankton processes in the California coastal transition zone: 3. Lagrangian drifters , 1996 .

[24]  D. Boyer,et al.  Flow past a circular cylinder on a β-plane , 1982, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[25]  I. Suthers Spatial Variability of Recent Otolith Growth and RNA Indices in Pelagic Juvenile Diaphus kapalae (Myctophidae): an Effect of Flow Disturbance near an Island? , 1996 .

[26]  Eileen E. Hofmann,et al.  Use of simulated drifter tracks to investigate general transport patterns and residence times in the Coastal Transition Zone , 1991 .

[27]  Katherine S. Hedström,et al.  An application of the capacitance matrix method to accommodate masked land areas and island circulations in a primitive equation ocean model , 1995 .

[28]  R. Batiza,et al.  Seamounts, Islands, and Atolls , 1987 .

[29]  J. Molines,et al.  A sigma-coordinate primitive equation model for studying the circulation in the South Atlantic. Part I: Model configuration with error estimates , 1998 .

[30]  D. Haidvogel,et al.  A numerical simulation of flow at Fieberling Guyot , 1997 .

[31]  Peter Franks,et al.  Phytoplankton blooms at fronts: Patterns, scales, and physical forcing mechanisms , 1992 .

[32]  R. E. Johannes Reproductive strategies of coastal marine fishes in the tropics , 1978, Environmental Biology of Fishes.

[33]  D. R. Robertson,et al.  Differences in the seasonalities of spawning and recruitment of some small neotropical reef fishes , 1990 .

[34]  Robert L. Haney,et al.  On the Pressure Gradient Force over Steep Topography in Sigma Coordinate Ocean Models , 1991 .

[35]  Claire B Paris-Limouzy,et al.  Connectivity of marine populations: open or closed? , 2000, Science.

[36]  I. Suthers,et al.  Enhanced zooplankton abundance in the lee of an isolated reef in the south Coral Sea : the role of flow disturbance , 1997 .

[37]  E. D. Barton,et al.  Capture and release of Lagrangian floats by eddies in shear flow , 1997 .

[38]  M. Bowman,et al.  Coastal ocean circulation near Barbados, West Indies, spring 1990 and 1991 , 1994 .

[39]  I. Orlanski A Simple Boundary Condition for Unbounded Hyperbolic Flows , 1976 .

[40]  Matthias Tomczak,et al.  Island wakes in deep and shallow water , 1988 .