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A measure called Physical Complexity is established and calculated for apopulation of sequences, based on statistical physics, automata theory, andinformation theory. It is a measure of the quantity of information in anorganism's genome. It is based on Shannon's entropy, measuring the informationin a population evolved in its environment, by using entropy to estimate therandomness in the genome. It is calculated from the difference between themaximal entropy of the population and the actual entropy of the population whenin its environment, estimated by counting the number of fixed loci in thesequences of a population. Up to now, Physical Complexity has only beenformulated for populations of sequences with the same length. Here, weinvestigate an extension to support variable length populations. We then buildupon this to construct a measure for the efficiency of information storage,which we later use in understanding clustering within populations. Finally, weinvestigate our extended Physical Complexity through simulations, showing it tobe consistent with the original.

Physical Complexity of Variable Length Symbolic Sequences