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. 2014 Sep 6;11(98):20140209. doi: 10.1098/rsif.2014.0209

Table 1.

Predicted self-seeding rate for OTI and downstream capture rates at reefs W, H and S at time Tmax + 4 days. The model was run for various scenarios determined by the following physical and biological parameters, namely (i) the subgrid-scale turbulent horizontal diffusion coefficient Kx, (ii) the maximum swimming cruise velocity Umax of the fish larvae, (iii) the pre-flexion time Tpre-flexion of the larvae, (iv) the time Tmax at which the larvae start swimming at maximum swimming cruise velocity, (v) the width W of the band around reefs in which larvae can hear the reefs, and (vi) the ability to detect a odour gradient where the concentration is at least 0.1% (odour = 0.1), 1% (odour = 1) and 10% (odour = 10) that at 400 m from the source. The model accounted only for the larvae that survive. Non-swimming larvae were assumed to start to recruit on day 5 after spawning. Swimming larvae were assumed to be able to recruit when T > Tpre-flexion. The larvae were assumed to stop swimming on reaching the pelagic larval duration PLD (PLD = Tmax + 4 days).

scenario number Kx (m2 s−1) Umax (m s−1) Tpre-flexion (day) Tmax (day) PLD (day) W (m) odour self-seeding rate (%) downstream capture rate (%) directional swimming
1 1 0 5.9 0.04 N
2 5 0 1.2 0.5 N
3 10 0 0.6 1.3 N
4 5 0.15 7 10 14 2000 0.1 19.3 7.6 Y (sound+smell)
 4a 5 0.15 7 10 14 0 0.1 4.2 1.2 Y (smell only)
 4b 5 0.15 7 10 14 2000 no 7.9 4.3 Y (sound only)
5 1 0.15 7 10 14 2000 0.1 28.8 0.44 Y (sound + smell)
6 3 0.15 7 10 14 2000 0.1 27.3 4.5 Y (sound + smell)
7 7 0.15 7 10 14 2000 0.1 14 8.5 Y (sound + smell)
8 10 0.15 7 10 14 2000 0.1 9.3 9.1 Y (sound + smell)
9 5 0.05 7 10 14 2000 0.1 10.7 5.3 Y (sound + smell)
10 5 0.1 7 10 14 2000 0.1 15.9 8.1 Y (sound + smell)
11 5 0.2 7 10 14 2000 0.1 19.8 7.9 Y (sound + smell)
12 5 0.25 7 10 14 2000 0.1 20 8.2 Y (sound + smell)
13 5 0.15 7 10 14 1000 0.1 14.8 4.8 Y (sound + smell)
14 5 0.15 13 17 21 2000 0.1 10.8 5.9 Y (sound+smell)
15 5 0.15 15 18 22 2000 0.1 3 3 Y (sound + smell)
16 5 0.15 24 27 31 2000 0.1 0.4 0.5 Y (sound + smell)
17 5 0.15 7 10 14 2000 1 12 5 Y (sound + smell)
18 5 0.15 7 10 14 2000 10 8.1 4.5 Y (sound + smell)