Question

what is an analogy for population

Answer 1

Population process. In applied probability, apopulation process is a Markov chain in which the state of the chain is analogous to the number of individuals in a population (0, 1, 2, etc.), and changes to the state areanalogous to the addition or removal of individuals from the population

Answer 2

An analytical model is proposed for fatigue crack propagation in plain concrete based on population growth exponential law and in conjunction with principles of dimensional analysis and self-similarity. The population model takes into account parameters such as loading history, fracture toughness, crack length, loading ratio and structural size and predicted results are compared with experimental crack growth data for constant and variable amplitude loading and are found to capture the size effect apart from showing a good agreement. Using this model, a sensitivity analysis is carried out to study the effect of various parameters that influence fatigue failure.