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In mathematical or statistical modelling a threshold model is any model where a threshold value , or set of threshold values , is used to distinguish ranges of values where the behaviour predicted by the model varies in some important way .. statistical modelling. statistical model. A particularly important instance arises in toxicology , where the model for the effect of a drug may be that there is zero effect for a dose below a critical or threshold value , while an effect of some significance exists above that value .. Certain types of regression model may include threshold effects .. Classic threshold models were developed by Schelling , Axelrod , and Granovetter to model collective behavior .. Schelling attempted to model the dynamics of segregation motivated by individual interactions in America -LRB- Schelling , 1971 -RRB- by constructing two simulation models .. Schelling demonstrated that `` there is no simple correspondence of individual incentive to collective results , '' and that the dynamics of movement influenced patterns of segregation .. In doing so Schelling highlighted the significance of `` a general theory of ` tipping ''' .. Mark Granovetter , following Schelling , proposed the threshold model -LRB- Granovetter & Soong , 1983 , 1986 , 1988 -RRB- , which assumes that individuals ' behavior depends on the number of other individuals already engaging in that behavior -LRB- both Schelling and Granovetter classify their term of `` threshold '' as behavioral threshold . -RRB-. He used the threshold model to explain the riot , residential segregation , and the spiral of silence .. In the spirit of Granovetter 's threshold model , the `` threshold '' is `` the number or proportion of others who must make one decision before a given actor does so '' .. It is necessary to emphasize the determinants of threshold .. A threshold is different for individuals , and it may be influenced by many factors  : social economic status , education , age , personality , etc. .. Further , Granovetter relates `` threshold '' with utility one gets from participating collective behavior or not , using the utility function , each individual will calculate his cost and benefit from undertaking an action .. And situation may change the cost and benefit of the behavior , so threshold is situation-specific .. The distribution of the thresholds determines the outcome of the aggregate behavior -LRB- for example , public opinion -RRB- .