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28 Behaviour in models<br />

Using mean population performance in models is not appropriate<br />

when only a small portion of the performance distribution may constitute<br />

the survivors. Therefore, variance around the mean has to be<br />

derived from observations 63 or estimated from published accounts and<br />

incorporated into the model to provide a realistic range of individual<br />

results. Such a probabilistic approach can be accomplished through<br />

individual based models where traits of individual particles can be assigned<br />

following a probability density function. In addition, maximum<br />

values should also be considered because successful recruits may be<br />

the very few “best” individuals of each cohort (Figure 1.1).<br />

1.2.2 Ontogeny of behaviour<br />

Just like morphology, behaviour develops during the pelagic larval stage<br />

from essentially planktonic at its start to nektonic at its end, and the<br />

passive portion of it is likely to be short. In addition to ontogenetic<br />

changes in behavioural ability (e.g. swimming speed), there are frequently<br />

ontogenetic changes in the use of those abilities (e.g. age-related<br />

changes in depth or in swimming direction). The methods for modelling<br />

behaviour need to be adjusted according to the state of knowledge of<br />

physical-biological interactions that result in larval growth. Indeed, most<br />

studies indicate that size (or stage of development) is a better predictor<br />

of behavioural ability than is age 64 .<br />

Ontogeny of behaviour<br />

is best described by size<br />

• When growth is explicitly included in the model, behaviour can<br />

be formulated as a function of size. In addition, as mentioned<br />

above, this relation should not be deterministic and should not<br />

consider only the mean value for the population; associated variation<br />

should be included. In this case, as larvae are subjected<br />

to differential growth, in a model with spatially heterogeneous<br />

resources for example, they will display differential performance<br />

for a given behaviour.<br />

• When larval growth is not resolved in the model or when not<br />

enough information is available to predict a continuous relationship<br />

between size and behavioural performance, either age<br />

or developmental milestones can be used to model behaviours,<br />

possibly in a simplified, step-wise manner. Age and ontogenetic<br />

stages can be expressed by a dimensionless metric such as an<br />

developmental age 65 or ontogenetic index 64 .<br />

1.2.3 Taxonomic resolution of behaviour<br />

Ideally, the behaviour of larvae of the species to be modelled should be<br />

incorporated into the model. Nevertheless, it is important to know the<br />

degree to which the behaviour of a particular species can be generalised<br />

to other taxa, because it is unlikely that we will ever have even partial<br />

information on the behaviour of all fish species. At present, the amount

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