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104 Vertical distribution during ontogeny<br />

Advection scheme<br />

eddies and fine scale vertical variations in the flow. In addition, the<br />

large variations in weather conditions made it impossible to get a<br />

continuous picture of the current throughout eight consecutive days.<br />

Therefore, the Regional Ocean Modeling System (ROMS) was used to<br />

simulate the flow around a cylindrical deep-ocean island, similar to, but<br />

larger than, Tetiaroa (20 km diameter). The configuration was modified<br />

from Dong et al. 219 . The incoming flow featured a vertical shear that<br />

was parameterised according to ADCP measurements in the presumed<br />

upstream region of Tetiaroa: 20 cm s -1 near the surface, 12 cm s -1 at<br />

100 m, with a sigmoid decline. The simulation grid had dimensions<br />

200 × 100 km × 500 m, with an horizontal resolution of 500 m, and 20<br />

evenly spaced layers, which allowed to resolve mesoscale eddies shed<br />

by the island.<br />

Particles advection was performed off-line, with custom Fortran code.<br />

The grid was restricted to the inner 150 × 80 km and the current<br />

field was interpolated on a 250 m regular mesh through 4 th order<br />

polynomial interpolation. In the vertical direction, only the first 100 m<br />

were used, and divided in 5 layers. Simulated pre-flexion larvae were<br />

simultaneously released at 100 points within a 5 km radius around<br />

the island, at a depth of 25 m (the depth of maximum occurrence of<br />

pre-flexion larvae in most families), on three occasions, contrasting<br />

in terms of flow conditions. Larvae were advected using a first order<br />

forward scheme, with a 1.30 h time step. While the advection scheme<br />

did not allow all fine scale features of the flow to affect trajectories,<br />

the same scheme was used for passive and vertically migrating larvae.<br />

So it did not bias the comparison which was the primary focus of the<br />

simulations here.<br />

5.4 Results<br />

5.4.1 Factors affecting vertical distribution<br />

Predominant effect<br />

of taxonomy<br />

Circumstantial<br />

differences for<br />

sub-family taxa<br />

An univariate regression tree was built to hierarchise the effect of<br />

taxonomy, physical variables, and ontogeny on the location of the z cm,<br />

computed per family and per stage, at each station. The first splits, robust<br />

after cross-validation, show a strong effect of taxonomy (Figure 5.2).<br />

Some families, such as Lutjanidae, Lethrinidae, and Holocentridae, were<br />

systematically higher in the water column than others (Figure 5.3).<br />

These two splits alone account for 23% of the variability (residual cross<br />

validated error = 0.77). This result is confirmed by a very significant<br />

difference between per-family z cms (Kruskal-Wallis, χ 2 = 211.43, df = 9,<br />

p < 10 -16 ) which leaves no doubt, even though variances are different<br />

(Fligner-Killeen, χ 2 = 29.7, df = 9, p = 0.0005).<br />

Some differences between the distributions of sub-family taxonomic<br />

groups are significant. For example, within the Serranidae, Epinephelini<br />

were higher in the water column than Grammistini (Fligner-Killeen,<br />

χ 2 = 1.1, df = 1, p = 0.3; Wilcoxon, W = 5, p = 0.002). There is also a

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