



Matthieu Lesnoff is a biometrician at CIRAD. He specializes in modelling tropical livestock demography.
Renaud Lancelot is an epidemiologist at CIRAD, with extensive field experience in Africa. He currently coordinates the European EDENext research project on vector-borne diseases.
Charles-Henri Moulin is an animal scientist and professor at Montpellier SupAgro. He specializes in livestock farming systems analysis in Mediterranean (France, Morocco) and tropical (Senegal, Mali, Brazil) areas.
Samir Messad is a biometrician at CIRAD with long experience in tropical livestock data management
and analysis.
Xavier Juanès is a computer scientist at CIRAD. He has developed the LASER software and many other
information systems for managing tropical livestock data.
Christian Sahut is a computer scientist at CIRAD, specializing in Web platform development
Calculation of Demographic Parameters in Tropical Livestock Herds
A Discrete Time Approach with LASER Animal-based Monitoring Data
This educational handbook is a compilation of the main concepts relating to the definition and calculation of demographic rates for largely non-intensive tropical animal farms.
Having indicators to assess the effect of zootechnical, sanitary, economic or political intervention or the impact of environmental risks makes it possible to draw up strategies for improving domestic animal populations. This handbook is a compilation of the main concepts relating to the definition and calculation of demographic rates for largely non-intensive tropical animal farms. It is intended to be educational, and should help students, technicians, engineers, researchers and development staff to understand the definitions and formulas encountered in the literature more clearly and make them more self-sufficient in terms of analyses.
1. Introduction
1.1. Background and objectives
1.2. Animal-based monitoring
1.3. A selection of parameters
1.4. Organization of the handbook
2. Grouping demographic data
2.1. Cohort splitting
2.1.1. Horizontal and vertical cells
2.1.2. Aggregation of cells
2.2. Pseudo-cohort splitting
2.2.1. Columns of cells
2.2.2. Other types of cells
3. Mortality and offtake rates
3.1. One type of removal
3.1.1. Probabilistic models
3.1.2. Calculations over subperiods
3.1.3. Mean size approximation
3.2. Case with two types of removal
3.2.1. Crude probabilities
3.2.2. Hazard rates
3.2.3. Relations between crude probabilities and hazard rates
3.2.4. Competing risks and interferences
3.2.5. Corrected probability of death
3.3. Additional points
3.3.1. Calculations with intake
3.3.2. Non-constant rates
3.3.3. Case with more than two types of events
4. Other demographic rates
4.1. Reproduction rates
4.1.1. Parturition and abortion rates
4.1.2. Prolificacy, stillbirth and female-at-birth rates
4.2. Synthetic rates
4.3. Global demographic rates
4.3.1. Herd dynamics
4.3.2. Production
5. Package laserdemog
5.1. R software
5.2. Functions in laserdemog
5.2.1. Data importation
5.2.2. Data splitting
5.2.3. Calculation of the parameters
5.3. Additional points
5.3.1. Arguments ini and end
5.3.2. Codes for exits and entries
5.3.3. Global dynamics and production rates
6. Numerical examples
6.1. Example 1 – Overall description
6.1.1. Data importation and splitting
6.1.2. Herd sizes and structures
6.1.3. Demographic rates
6.2. Example 2 – More on reproduction rates
6.3. Example 3 – Test of a treatment on mortality
6.3.1. Data importation and splitting
6.3.2. Descriptive analysis of the treatment effect
6.3.3. Test of the treatment effect
7. Annexes
7.1. Rates p and h in survival analyses
7.1.1. One cause of removal
7.1.2. Two causes of removal
7.2. R materials
7.3. Structure of tables generated by hsplit and vsplit
8. Bibliography


