Lagrangian descriptions of marine larval dispersion

Many marine organisms are sedentary as adults and are redistributed between genera- tions by the oceanic transport of planktonic larvae. In order to assess interactions among oceano- graphic and biological processes that determine larval dispersal patterns, we introduce a Lagrangian (or water-parcel-following) description of larval transport. This formalism is used to determine larval dispersal kernels (larval settlement probability distributions) for a range of ocean flows, planktonic larval durations and settlement pre-competency/competency periods. Paths of individual planktonic larval releases are modeled statistically and, by averaging over many individuals, ensemble esti- mates of larval dispersal are determined. Typical dispersal scales vary from a few km to >400 km. Modeled dispersal kernels are well explained using only a few readily available biological and oceanographic parameters, and derived dispersal scales agree well with population-genetic esti- mates, suggesting that the model has reasonable predictive power. An index for regional-scale self- seeding is presented, and is used as a tool to evaluate the efficiency of marine conservation areas. Finally, settlement patterns resulting from larval releases made over short times (days to months) should be comprised of a small number of discrete samples taken from the long-term averaged dis- persal kernel. The resulting larval dispersal patterns will be quasi-random in both space and time, which will have important implications for the interpretation of settlement time series and the prediction of recruitment of sessile organisms.

[1]  P. Poulain Adriatic Sea surface circulation as derived from drifter data between 1990 and 1999 , 2001 .

[2]  H. C. Rodean Stochastic Lagrangian Models of Turbulent Diffusion , 1996 .

[3]  E. Bermingham,et al.  EARLY LIFE HISTORIES, OCEAN CURRENTS, AND THE POPULATION GENETICS OF CARIBBEAN REEF FISHES , 1995, Evolution; international journal of organic evolution.

[4]  M. Hendershott,et al.  Near‐surface trajectories off central and southern California , 1999 .

[5]  R. Hughes,et al.  Population genetic consequences of larval dispersal mode and hydrography: a case study with bryozoans , 2001 .

[6]  C. D. Hall The simulation of particle motion in the atmosphere by a numerical random‐walk model , 1975 .

[7]  R. S. Scheltema LARVAL DISPERSAL AS A MEANS OF GENETIC EXCHANGE BETWEEN GEOGRAPHICALLY SEPARATED POPULATIONS OF SHALLOW-WATER BENTHIC MARINE GASTROPODS , 1971 .

[8]  S. Wright,et al.  Isolation by Distance. , 1943, Genetics.

[9]  D. Thomson,et al.  Random walk modelling of diffusion in inhomogeneous turbulence , 1984 .

[10]  R. Emlet DEVELOPMENTAL MODE AND SPECIES GEOGRAPHIC RANGE IN REGULAR SEA URCHINS (ECHINODERMATA: ECHINOIDEA) , 1995, Evolution; international journal of organic evolution.

[11]  J. Roughgarden,et al.  Spatial population-dynamics of a marine organism with a complex life-cycle , 1990 .

[12]  S. Planes Genetic differentiation in relation to restricted dispersal of the convict surgeon fish, Acanthurus triostegus, in French Polynesia , 1993 .

[13]  M. Swenson,et al.  Statistical analysis of the surface circulation of the California Current , 1996 .

[14]  P. Poulain,et al.  Statistical Analysis of the Surface Circulation in the California Current System Using Satellite-Tracked Drifters , 1989 .

[15]  J. Ledwell,et al.  Lateral dispersion over the continental shelf: Analysis of dye release experiments , 2001 .

[16]  Hugh M. Caffey,et al.  SPATIAL AND TEMPORAL VARIATION IN SETTLEMENT AND RECRUITMENT OF INTERTIDAL BARNACLES , 1985 .

[17]  B. J. Noye,et al.  Larval dispersion along a straight coast with tidal currents: complex distribution patterns from a simple model , 1995 .

[18]  A. Beaumont,et al.  Genetics and evolution of aquatic organisms , 2004, Reviews in Fish Biology and Fisheries.

[19]  C. Saavedra,et al.  Allozyme variation in populations of scallops, Pecten jacobaeus (L.) and P. maximus (L.) (Bivalvia: Pectinidae), across the Almeria–Oran front , 2002 .

[20]  J. C. Andrews,et al.  Localized Dispersal and Recruitment in Great Barrier Reef Corals: The Helix Experiment , 1988, Science.

[21]  S. Bauer Eddy-mean flow decomposition and eddy-diffusivity estimates in the tropical Pacific Ocean , 1998 .

[22]  C. Garrett On the initial streakness of a dispersing tracer in two- and three-dimensional turbulence , 1983 .

[23]  M. Caruso,et al.  A view of the 1993-1994 California Current based on surface drifters, floats, and remotely sensed data , 2000 .

[24]  U. Seeliger,et al.  Subtropical convergence environments: the coast and sea in the southwestern Atlantic , 1997 .

[25]  Burton,et al.  Population genetics of black abalone, Haliotis cracherodii, along the central California coast. , 2000, Journal of experimental marine biology and ecology.

[26]  Akira Okubo,et al.  Oceanic diffusion diagrams , 1971 .

[27]  J. Benzie,et al.  GENETIC STRUCTURE OF GIANT CLAM (TRIDACNA MAXIMA) POPULATIONS IN THE WEST PACIFIC IS NOT CONSISTENT WITH DISPERSAL BY PRESENT‐DAY OCEAN CURRENTS , 1997, Evolution; international journal of organic evolution.

[28]  W. Hamner,et al.  Topographically Controlled Fronts in the Ocean and Their Biological Influence , 1988, Science.

[29]  P. Mather,et al.  GENE FLOW AND LARVAL DURATION IN SEVEN SPECIES OF FISH FROM THE GREAT BARRIER REEF , 1995 .

[30]  E. Wolanski,et al.  TRAPPING AND DISPERSION OF CORAL EGGS AROUND BOWDEN REEF, GREAT BARRIER-REEF, FOLLOWING MASS CORAL SPAWNING , 1989 .

[31]  D. Siegel,et al.  Trajectories of sinking particles in the Sargasso Sea: modeling of statistical funnels above deep-ocean sediment traps , 1997 .

[32]  J. P. Thorpe,et al.  The genetic structure of intertidal populations of two species of nudibranch molluscs with planktotrophic and pelagic lecithotrophic larval stages: are pelagic larvae “for” dispersal? , 1998 .

[33]  Steven D. Gaines,et al.  PROPAGULE DISPERSAL IN MARINE AND TERRESTRIAL ENVIRONMENTS: A COMMUNITY PERSPECTIVE , 2003 .

[34]  A. Hastings,et al.  Persistence of Transients in Spatially Structured Ecological Models , 1994, Science.

[35]  Russ E. Davis,et al.  Drifter observations of coastal surface currents during CODE: The statistical and dynamical views , 1985 .

[36]  J. Benzie Patterns of gene flow in the Great Barrier Reef and Coral Sea , 1994 .

[37]  G. Wellington,et al.  Planktonic larval duration of one hundred species of Pacific and Atlantic damselfishes (Pomacentridae) , 1989 .

[38]  D. Thomson Criteria for the selection of stochastic models of particle trajectories in turbulent flows , 1987, Journal of Fluid Mechanics.

[39]  C. Roberts,et al.  Connectivity and management of caribbean coral reefs , 1997, Science.

[40]  W. J. Burnett,et al.  Patterns of genetic subdivision in populations of a clonal cnidarian, Zoanthus coppingeri, from the Great Barrier Reef , 1995 .

[41]  Mark H. Carr,et al.  PROPAGULE DISPERSAL DISTANCE AND THE SIZE AND SPACING OF MARINE RESERVES , 2003 .

[42]  K. Janson Allozyme and shell variation in two marine snails (Littorina, Prosobranchia) with different dispersal abilities , 1987 .

[43]  T. F. Turner,et al.  Population structure of red drum (Sciaenops ocellatus) in the northern Gulf of Mexico, as inferred from variation in nuclear-encoded microsatellites , 2002 .

[44]  J. Caselle,et al.  Larval retention and recruitment in an island population of a coral-reef fish , 1999, Nature.

[45]  M. Cain,et al.  Long-distance seed dispersal in plant populations. , 2000, American journal of botany.

[46]  M. Nishida,et al.  Genetic differences between geographic populations of the Crown-of-thorns starfish throughout the Pacific region , 1988 .

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

[48]  J. C. Andrews,et al.  Residence times of neutrally-buoyant matter such as larvae, sewage or nutrients on coral reefs , 2004, Coral Reefs.

[49]  M. Hendershott,et al.  Statistical aspects of surface drifter observations of circulation in the Santa Barbara Channel , 1998 .

[50]  Steven D. Gaines,et al.  Temperature or Transport? Range Limits in Marine Species Mediated Solely by Flow , 2000, The American Naturalist.

[51]  A. Shanks Mechanisms of Cross-Shelf Dispersal of Larval Invertebrates and Fish , 2020 .

[52]  Botsford,et al.  Dependence of sustainability on the configuration of marine reserves and larval dispersal distance , 2001 .

[53]  A. Hastings,et al.  The influence of spatially and temporally varying oceanographic conditions on meroplanktonic metapopulations , 1994 .

[54]  F. Bonhomme,et al.  Zoogéographie infra-spécifique de la Mer Méditerranée : analyse des données génétiques populationnelles sur seize espèces atlanto-méditerranéennes (poissons et invertébrés) , 1997 .

[55]  A. Hill Advection-diffusion-mortality solutions for investigating pelagic larval dispersal , 1991 .

[56]  H. Kusumo,et al.  Variability over space and time in the genetic structure of the winged kelp Alaria marginata , 2000 .

[57]  M Slatkin,et al.  Gene flow and the geographic structure of natural populations. , 1987, Science.

[58]  S. Palumbi POPULATION GENETICS, DEMOGRAPHIC CONNECTIVITY, AND THE DESIGN OF MARINE RESERVES , 2003 .

[59]  F. Bonhomme,et al.  Geographic structure and gene flow in the manini (convict surgeonfish, Acanthurus triostegus ) in the south-central Pacific , 1994 .

[60]  J. Roughgarden,et al.  Recruitment dynamics in complex life cycles. , 1988, Science.

[61]  R. Leben,et al.  Eddy energy and shelf interactions in the Gulf of Mexico , 2001 .

[62]  R. R. Strathmann,et al.  Larval Mortality from Offshore Mixing as a Link between Precompetent and Competent Periods of Development , 1981, The American Naturalist.

[63]  John D. Wilson,et al.  Review of Lagrangian stochastic models for trajectories in the turbulent atmosphere , 1996 .