Ga. Goldberg et al., ZOOPLANKTON FIELD HETEROGENEITY FORMATION ON THE MESOSCALE - ELEMENTSOF THE THEORY AND EMPIRICAL CHARACTERISTICS, Ecological modelling, 96(1-3), 1997, pp. 41-49
The continuous records of mesozooplankton biomass (with the spatial av
eraging of pump track every 20 km) were carried out from the surface l
ayer (2-6 m depth) over 5 transects in the western part of the Indian
Ocean during the end of the north-east monsoon period. The spatial aut
ocorrelation functions have shown that the average size of zooplankton
heterogeneities on the mesoscale is close to 40 km. To model the fiel
d of zooplankton biomass b(t, x) the model based on the equation of no
n-conservative substance diffusion was applied: db/bt + u(db/dx) = k(d
(2)b/dx(2)) + nb + a(t, x), where t is the time; x the horizontal coor
dinate; u the velocity of mass transport by a current; k the coefficie
nt of horizontal turbulent diffusion and n the normalised velocity of
zooplankton growth. The field a(t, x) characterises the rest of the lo
cal fluctuations of zooplankton biomass not associated with the mentio
ned processes. The techniques of solving the equation based on the spe
ctral theory of the random fields was solved by means of the evaluatio
n of the field autocovariation functions. (C) 1997 Elsevier Science B.
V.