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The Zoo Hypothesis posits that we have not detected extraterrestrialintelligences (ETIs) because they deliberately prevent us from detecting them.While a valid solution to Fermi's Paradox, it is not particularly amenable torigorous scientific analysis, as it implicitly assumes a great deal about thesociological structure of a plurality of civilisations. Any attempt to assessits worth must begin with its most basic assumption - that ETIs share auniformity of motive in shielding Earth from extraterrestrial contact. Thismotive is often presumed to be generated by the influence of the firstcivilisation to arrive in the Galaxy. I show that recent work on inter-arrivaltime analysis, while necessary, is insufficient to assess the validity of theZoo Hypothesis (and its related variants). The finite speed of light preventsan early civilisation from exerting immediate cultural influence over a latercivilisation if they are sufficiently distant. I show that if civilisationarrival times and spatial locations are completely uncorrelated, this strictlyprevents the establishment of total hegemony throughout the Galaxy. I finish bypresenting similar results derived from more realistic Monte Carlo Realisationsimulations (where arrival time and spatial locations are partiallycorrelated). These also show that total hegemony is typically broken, even whenthe total population of civilisations remains low. In the terminology ofprevious studies of solutions to Fermi's Paradox, this confirms the ZooHypothesis as a "soft" solution. However, an important question to be resolvedby future work is the extent to which many separate hegemonies are established,and to what extent this affects the Zoo Hypothesis.

Spatio-temporal Constraints on the Zoo Hypothesis, and the Breakdown of Total Hegemony