1). The muck heaps at farms one, two, three and four were covered from early March 2009
during the seasonal vector-free period ( European Commission, 2007), until the end of May 2009 following the spring peak in Culicoides emergence ( Sanders et al., 2011). Farming activities on the farms prevented the muck heaps from remaining covered for a longer time period. The muck heaps at the remaining four farms (farms five, six, seven and eight, Fig. 2) remained uncovered throughout and GDC-0199 price were used as controls, to allow an assessment of the overall trend in Culicoides subgenus Avaritia populations for the 2009 season when compared to previous seasons (2006–2008). Light suction traps were located within 100 m of muck heaps, livestock housing and grazing pasture at all farms and greater than 5 km from the muck heaps of any neighbouring farms. Although seasonal variation in the number of livestock located in close proximity (<100 m)
to the light suction Akt inhibitor trap did occur within farms, this variation was consistent between years and was primarily associated with the variation between livestock being housed during winter and grazed at pasture during spring, summer and autumn. To assess the effect of covering muck heaps on the first generational peak in ‘local’ adult populations of the Culicoides subgenus Avaritia, trap catches were analysed using generalised linear models assuming Poisson errors and a log link function. Furthermore, the models included overdispersion (to allow for the high week-to-week variability in catches), temporal autocorrelation amongst the observations (to allow for dependence between observations) and hierarchical
structure in the model parameters (to allow for between-farm differences) ( Sanders et al., 2011). The number of female subgenus Avaritia Culicoides collected (yjk) at the jth observation on farm k (collected ADP ribosylation factor on day tjk) was assumed to follow a Poisson distribution, that is, equation(1) yjk∼Poisson(μjk),yjk∼Poisson(μjk),with the expected trap catch, μjk, given by, equation(2) log(μjk)=cjkb0k(C)+b1k(C)sin2π365(tjk−ϕjk)+(1−cjk)b0k(U)+b1k(U)sin2π365(tjk−ϕjk)+σjk+εjk.Here, cjk indicates whether (cjk = 1) or not (cjk = 0) the muck heap was covered, the terms including sine functions describe seasonality in the Culicoides population when the muck heap is covered (C) or uncovered (U) (here b0 is the log mean population, b1 is the amplitude and ϕ is the phase), while σjk allows for overdispersion in the data and ɛjk allows for temporal autocorrelation between observations. Between-site variation was incorporated by assuming the parameters for each site are drawn from higher-level distributions, so that, bik(•)∼N(μbi(•),σbi(•)2),ϕk=182.5+182.5ϕ′k, ϕ′k∼Beta(aϕ,bϕ),while overdispersion in the data was modelled as, σjk∼N(0,σd2).Finally, temporal autocorrelation was described by a stationary AR(p) process ( Diggle et al.