Hydrodynamic backtracking of fish larvae by individual-based modelling

We discuss methodological and implementation issues of spatial, temporal and com- bined spatio-temporal backtracking and illustrate larval backtracking for North Sea lesser sandeel Ammodytes marinus larvae, using a combined hydrodynamical and individual-based model. It was found that dispersal effects are important for larval backtracking predictions. Our results show large differences in average transport distance, as well as in shape and extent of predicted hatch areas, when backtracking advected larval cohorts in different regions of the North Sea, thus emphasizing the importance of using realistic, spatially and temporally resolved diffusivity fields in simulations of larval transport. In all cases, biologically likely hatching areas have been predicted. We discuss issues of methodological consistency and present a new scheme for including life-history stochasticity effects on growth in backtracking in a consistent way, as well as procedures for assessing the effects of larval mortality. Finally, fundamental limitations of larval backtracking are clarified, most importantly the time horizon and spatial resolution limit for backward prediction.

[1]  G. C. Laurence,et al.  Spawning, embryo development and growth of the American sand lance Ammodytes americanus in the laboratory , 1984 .

[2]  William H. Press,et al.  Numerical recipes in C. The art of scientific computing , 1987 .

[3]  Growth of sandeel, Ammodytes marinus, in the northern North Sea and Norwegian coastal waters , 2002 .

[4]  J. Backhaus,et al.  Sensitivity of atmosphere-ocean heat exchange and heat content in the North Sea and the Baltic Sea , 1999 .

[5]  Larry B. Crowder,et al.  Variability in survival of larval fish: disentangling components with a generalized individual-based model , 1996 .

[6]  Rina Dechter,et al.  Backjump-based backtracking for constraint satisfaction problems , 2002, Artif. Intell..

[7]  D. Slagstad,et al.  A synoptic sampling method applied to Calanus finmarchicus population on the Norwegian mid-shelf in 1997 , 2000 .

[8]  J. E. Webb,et al.  Sand Eels (Ammodytidae) in the South-western North Sea: Their Biology and Fishery , 1968 .

[9]  C. Schrum.  Thermohaline stratification and instabilities at tidal mixing fronts: results of an eddy resolving model for the German Bight , 1997 .

[10]  G. Milstein,et al.  Simulation of the transport of particles in coastal waters using forward and reverse time diffusion , 2005 .

[11]  G. Ruxton,et al.  Sandeel recruitment in the North Sea: demographic, climatic and trophic effects , 2002 .

[12]  André W. Visser,et al.  Using random walk models to simulate the vertical distribution of particles in a turbulent water column , 1997 .

[13]  J. Hislop,et al.  Ecology of North Sea fish , 1990 .

[14]  D. Griffin,et al.  The adjoint method of data assimilation used operationally for shelf circulation , 1996 .

[15]  J. Hadamard,et al.  Lectures on Cauchy's Problem in Linear Partial Differential Equations , 1924 .

[16]  H. Jensen.  Settlement dynamics in the lesser sandeel Ammodytes marinus in the North Sea , 2001 .

[17]  M. Kishi,et al.  A numerical analysis of population dynamics of the sand lance (Ammodytes personatus) in the eastern Seto Inland Sea, Japan , 1992 .

[18]  Geoffrey Ingram Taylor,et al.  Diffusion by Continuous Movements , 1922 .

[19]  P. Wright,et al.  Vertical distribution of pre-settled sandeel (Ammodytes marinus) in the North Sea in relation to size and environmental variables , 2003 .

[20]  Corinna Schrum,et al.  Development of a coupled physical–biological ecosystem model ECOSMO: Part I: Model description and validation for the North Sea , 2006 .

[21]  J. Backhaus,et al.  Uncertainty analysis of a decadal simulation with a regional ocean model for the North Sea and Baltic Sea , 2001 .

[22]  J. Hadamard,et al.  Lectures on Cauchy's Problem in Linear Partial Differential Equations , 1924 .

[23]  K. Korotenko,et al.  Spectral structure of horizontal water movement in shallow seas with special reference to the North Sea, as related to the dispersion of dissolved matter , 1999 .

[24]  William H. Press,et al.  The Art of Scientific Computing Second Edition , 1998 .

[25]  P. Petitgas,et al.  The selection process from larval to juvenile stages of anchovy (Engraulis encrasicolus) in the Bay of Biscay investigated by Lagrangian simulations and comparative otolith growth , 2003 .

[26]  M. John,et al.  Decadal variations in the stratification and circulation patterns of the North Sea; are the 90´s unusual? , 2003 .

[27]  J. Zimmerman,et al.  The tidal whirlpool: a review of horizontal dispersion by tidal and residual currents , 1986 .

[28]  H. Batchelder.  Forward-in-Time-/Backward-in-Time-Trajectory (FITT/BITT) Modeling of Particles and Organisms in the Coastal Ocean , 2006 .

[29]  M. Kishi,et al.  A biomass-based model for the sand lance (Ammodytes personatus) in Seto Inland Sea, Japan , 1991 .

[30]  P. Wright,et al.  Timing of hatching inAmmodytes marinus from Shetland waters and its significance to early growth and survivorship , 1996 .

[31]  Helen E. Phillips,et al.  On the use of random walk models with spatially variable diffusivity , 1993 .

[32]  Roger A. Pielke,et al.  Application of the Receptor Oriented Approach in Mesoscale Dispersion Modeling , 1991 .