Abstract The adjusted Rand index (ARI) is commonly used in cluster analysis to measure the degree of agreement between two data partitions. Since its introduction, exploring situations extreme and disagreement under different circumstances has been a subject interest, order achieve better understanding this index. Here, an explicit formula for lowest possible value ARI clusterings given sizes s...

This paper develops a sustainable yield harvesting model for the wild Atlantic salmon (Salmo salar), where the population comprises different age classes. It is shown that the weight– fecundity relationship of the spawning population, comprising young and old fish, is crucial for the maximum sustainable yield fishing composition. First, the optimal harvest is found when fecundity is approximate...