Church Growth Models

Outline of Church Growth Models
Limited Enthusiasm Model
Births, Deaths & Reversion 
Renewal
Unlimited Enthusiasm 
 
Details of Models
Limited Enthusiasm 
Births, Deaths & Reversion 
Renewal
 
Details of Results
Summary of Results
Short Term Revival 
Long Term Growth
Long Term Decline
Growth via Renewal
 
References & Bibliography 
Mathematics of Church Growth
Church Growth
Revival 
System Dynamics 
Sociology of Religion
Epidemics
Social Diffusion
 

Publications
Articles
Models for Download

Limited Enthusiasm Model

In this model church growth comes only through the conversion of unbelievers. There are three fundamental assumptions:

  • Conversions result from the contact between unbelievers who gets converted and "enthusiast's - the subset of the church active in spreading the faith.
  • After a length of time the enthusiasts lose their effectiveness and become inactive believers playing no part in the spread of the faith.
  • Some of the new converts become enthusiasts - the only way enthusiasts are made in this model.

Thus there are three categories of people: unbelievers, enthusiasts (or active believers) and inactive believers. These correspond to the susceptibles, infected and removed categories in the spread of a disease. It assumed believers are all church members and vice versa.

The main result is that there is a threshold for rapid revival-type growth to occur. This threshold depends on the enthusiast's individual effectiveness only. If the proportion of unbelievers exceeds this threshold then growth of the church explodes until that unbelieving proportion falls below the threshold, after which growth slows down.

The growth stops before the whole population is converted. It stops because there is insufficient effectiveness not because there are no more unbelievers.

If only part of the church are enthusiasts spreading the faith - and they eventually lose their effectiveness, then the church fails to convert all of society. Church growth is limited because enthusiasm is limited in time.

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General Limited Enthusiasm Model with Births Deaths and Reversion

For long term behaviour the growth of the church additional processes are required:

  • Deaths: the deaths of church members
  • Births: additions through births of children to existing church members, who after some period in within the church because of their parents become believers themselves. If some children do not stay with the church then the growth through births does not compensate the losses through death. This is child loss from the church.
  • Reversion: Adult believers who leave the church, for whatever reason, and effectively become unbelievers again, as far as their church attendance is concerned.

In addition to the threshold of revival growth there is also a lower threshold of extinction. This threshold depends on the individuals' effectiveness as well as on the losses of children and reversion. If the proportion of unbelievers in society is below this threshold then the church will eventfully become extinct.

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Renewal Model

The general model is extended to allow enthusiasts to re-enthuse exisiting believers - the renewal process. Thus the church no longer relies on new converts as its sole source of new enthusiasts. The renewal rate may be different from the reproduction rate among new converts.

The most important result is that renewal can make up for an inadequate reproduction potential, allowing a church to avoid extinction, or even see revival, provided there is a critical mass of enthusiasts.

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Unlimited Enthusiasm Model

This is the situation where all believers are enthusiasts passing on the faith. Without births, deaths and reversion such a church would eventually see the whole of society converted. With these losses the church fails to convert all of society. Thus reversion and child loss prevent the church from converting the whole of society even if all believer recruit indefinitely.

This model is unrealistic and, unlike the limited enthusiasm model, rarely fits church attendance data.


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