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écologie des virus influenza aviaires en Camargue - IRD

écologie des virus influenza aviaires en Camargue - IRD

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Influ<strong>en</strong>za <strong>aviaires</strong> <strong>en</strong> <strong>Camargue</strong>model for elev<strong>en</strong> years and removed the first t<strong>en</strong> years from our analysis. Results are similarfor a transi<strong>en</strong>t l<strong>en</strong>gth of one hundred and fifty years.We wanted to fit our model against disease data collected for all the transmissionpatterns tested in this study. First, we performed an exploratory fitting to define the mostplausible values. We found = 0.001 for inter­individual d<strong>en</strong>sity­dep<strong>en</strong>d<strong>en</strong>t transmission, = 250 for frequ<strong>en</strong>cy­dep<strong>en</strong>d<strong>en</strong>t transmission, = 5 for water­borne transmission and= and for continuum model. This exploratory fitting allowed us to select thecorrect range of values to be tested.We minimized the negative log­likelihood function betwe<strong>en</strong> the preval<strong>en</strong>ce ofinfectious individuals for each month from model outputs and preval<strong>en</strong>ce of infectiousindividuals observed in our study area. Thus, we assumed that errors would be normallydistributed (e.g. Turchin and Hanski, 2001; Choisy et al. 2007) with a variance and weminimized:where f m is preval<strong>en</strong>ce observed on the field, o m are preval<strong>en</strong>ce from the model and xrepres<strong>en</strong>ts set of parameters. Indeed, we assumed that the field work had be<strong>en</strong> performedduring the maximal disease activity each month. However, if we use the mean or the minimaldisease activity for each month from model outputs, we obtain also similar parameterestimations. We have selected random seed values: 0.0005

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