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An aggregated distribution, commonly found among predators and parasites, is a highly uneven (
skewed In probability theory and statistics, skewness is a measure of the asymmetry of the probability distribution of a real-valued random variable about its mean. The skewness value can be positive, zero, negative, or undefined. For a unimoda ...
)
statistical distribution In statistics, an empirical distribution function (commonly also called an empirical Cumulative Distribution Function, eCDF) is the distribution function associated with the empirical measure of a sample. This cumulative distribution functio ...
pattern in which they collect or aggregate in regions, which may be widely separated, where their prey or hosts are at high density. This distribution makes sampling difficult and invalidates commonly-used parametric statistics. A similar pattern is found among predators that search for their prey.


In predators

When predators need to search for their prey, they could search at random, as has been assumed in models such as those made by Lotka in 1925 and Volterra in 1928. This would imply that they scatter themselves evenly across the environment. However, prey may be concentrated at high densities in some areas and scarce elsewhere. The zoologists M. P. Hassell and R. M. May noted that predators and parasites, too, might aggregate themselves where prey was abundant, choosing some response curve: they observed for example that redshanks (predatory birds) adopted a sigmoid (s-shaped) response to the density of ''
Corophium ''Corophium'' is a genus of the amphipod family Corophiidae. Formerly a much larger genus, many species have been transferred to segregate genera such as '' Monocorophium'' and '' Crassicorophium''. Species ''Corophium'' contains 12 species, af ...
'' (
amphipod Amphipoda is an order of malacostracan crustaceans with no carapace and generally with laterally compressed bodies. Amphipods range in size from and are mostly detritivores or scavengers. There are more than 9,900 amphipod species so far descr ...
) prey per square metre of
mudflat Mudflats or mud flats, also known as tidal flats or, in Ireland, slob or slobs, are coastal wetlands that form in intertidal areas where sediments have been deposited by tides or rivers. A global analysis published in 2019 suggested that tidal fl ...
s. They noted, too, that several different behaviours of predators or parasites could cause them to aggregate selectively in areas where prey are at high density: they could be attracted by a volatile substance liberated by prey or the plants they are feeding on; they could choose to spend more time in areas where they have caught prey, as many predators appear to do; or, predators could follow an individual predator which had located prey, as is seen in feeding terns. Aggregated distributions of predators where they tend to spend time in areas where prey are concentrated have the effect of stabilising prey populations; when the time to travel between such concentrated areas is high; and when the prey populations too are more highly clumped.


In parasites

Parasite aggregation with respect to hosts is, according to Robert Poulin "a defining feature of metazoan parasite populations." The main reason for this is probably either that some hosts are more exposed to parasites, or that they are more susceptible to them. Aggregation is seen in directly transmitted parasites (those not using a vector) from many groups: ectoparasites like
lice Louse ( : lice) is the common name for any member of the clade Phthiraptera, which contains nearly 5,000 species of wingless parasitic insects. Phthiraptera has variously been recognized as an order, infraorder, or a parvorder, as a result o ...
and mites, marine parasites like
copepod Copepods (; meaning "oar-feet") are a group of small crustaceans found in nearly every freshwater and saltwater habitat (ecology), habitat. Some species are planktonic (inhabiting sea waters), some are benthos, benthic (living on the ocean floor) ...
s and cyamid
amphipod Amphipoda is an order of malacostracan crustaceans with no carapace and generally with laterally compressed bodies. Amphipods range in size from and are mostly detritivores or scavengers. There are more than 9,900 amphipod species so far descr ...
s, and many kinds of nematode, fungi, protozoa, bacteria, and viruses. It is widespread, too, in trophically transmitted parasites of animals. The observed pattern is that most individual hosts are free or almost free of parasites, while a minority carry a large number of parasites.


Quantitative ecology

Aggregated distribution of parasites across their hosts poses considerable problems for students of parasite ecology, as it renders parametric statistics as commonly used by biologists invalid. Log-transformation of data before the application of parametric test, or the use of non-parametric statistics is recommended by several authors, but this can give rise to further problems, so quantitative parasitology is based on more advanced biostatistical methods.


References

{{reflist Biological models Predation Parasitism