Trend filtering is known as the technique for detecting piecewise linear trends in univariate time series. This extended to setting of compositional data, which are multivariate data where only relative information importance. According this, we formulate problem and present a procedure how efficiently solve it. To show usefulness this method, consider number COVID-19 infections several Europea...

Average age and size at maturation have decreased in many commercially exploited fish stocks during the last few decades. This phenomenon could be either a direct phenotypic response to some environmental variation, or the evolutionary consequence of some selective pressure. Traditionally used maturation indices, i.e. the age and size at which 50% of individuals are mature, are not appropriate ...