Membership Model

Extension of General Limited Enthusiasm Model (Births, Deaths, Reversion)

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


Publications
Articles
Models for Download
Contemporary Revival-Like Movements
Church Growth Model Building Series

Basic Assumptions of the Membership Model

The model is built on top of the limited enthusiasm model with births, deaths and reversion. Thus growth is driven by enthusiasts making converts and enthusiasts from those converts. In addition the children of believers may join the church at a later stage, some as enthusiasts.

The reason for the model is that most churches maintain some form of membership with varying degrees of criteria which reflects who "belong" to the church and who do not. Generally this is not the same as the attendance at the church. There are people who attend who chose not to belong. Likewise there are people who belong to the church who no longer attend.

The additional assumptions of the model are:

  • Converts who start attending the church do not become members immediately. There is a delay before they join, perhaps because there are membership classes, or they need time to think of the implications of membership, or the church is slow to update lists.
  • Those who are born to believers, who then go on to join the church when older, become members after they are counted as attendees. The extent of this delay depends on what age the church starts counting people as attendees, the age they allow people to become members, and the fact that many young people temporarily drop out of church before they return and then make a commitment. The model does not handle churches who count young people as members even when it does not count them as old enough for attendance.
  • People who stop attending the church are not immediately taken off membership. This reflects the reluctance of churches to remove people who have left, hoping that they will return. It also reflects the fact that churches may not update their membership lists quickly
  • Likewise when people die they may not be immediately removed from membership. many churches only update lists annually.

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Systems Dynamics Model for Membership

Rather than alter the structure of the main chain from unbelievers through enthusiasts to inactive believers, membership is modelled as a separate system with co-flows. There are two inflows, one for converts and one for those born into church. Both have delays. The one for those born into the church uses third order smoothing because the delays can be long and thus a pipeline delay can unduly affect numbers at early time steps. There are two outflows representing deaths and those who leave church. Again both are delayed.

The addition to the model is in figure 1:

Figure 1: Membership Model

Because of these delays membership will always lag that of attendance. This is an inevitable result of the assumptions and the SD structure. The model investigates the extent of the delay, and the difference between attendance and membership at any time.

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Results of the Membership Model


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