Sample Pattens by Random?

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Having worked on marine surveys for a number of years doing grab work, you often find in these samples that the more individual organisms there are the more species there are, suggesting that diversity increases as general abundance of life increases. This sound rational, but it only seems true up to a point, beyond that as the number of individuals increase the number of different species remain the same. Does this mean there is a dominant species in the biotope? or is it just a result of random species distribution? This models the environment as if species were randomly distributed and generates random sample data. It seems to show the same leveling off of species even though the number of individuals continues to grow.