Stochastic delay equations with non-negativity constraints driven by fractional Brownian motion

In this note we prove an existence and uniqueness result for the solution of multidimensional stochastic delay differential equations with normal reflection. The equations are driven by a fractional Brownian motion with Hurst parameter H > 1/2. The stochastic integral with respect to the fractional Brownian motion is a pathwise Riemann¿Stieltjes integral.

Phenological patterns in Mediterranean pastures and scrubs of Catalonia

On the basis of two parallel data sets refering to phenological events in open scrubs and pastures at two sites (Balaguer and Vic), the authors present a comprehensive report of the phenology of these Mediterranean communities. Four main phenophases (vegetative growth, flowering, fruiting and resting) were recorded monthly in 11 communities over 15 months. The results allow comparisons to be drawn between localities and communities, both at community and species levels, and to consider the effects of contemporary climatic data. This yielded useful information on general trends and on the particular responses of each community type to their corresponding constraints.