DRAINAGE RESEARCH IN FARMERS' FIELDS: ANALYSIS OF DATA
 
R.J. Oosterbaan, July 2002
 
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DRAINAGE RESEARCH IN FARMERS' FIELDS: ANALYSIS OF DATA
 
This paper is about the analysis of agricultural drainage data. First it deals with frequncy analysis to judge how often certain magnitudes occur and how important they are. Secondly, it explains how to determine relations between important parameters and to what extent there is mutually a strong influence or not. To this end various types of regression analysis are used, including regression in segments. Finally drainage models and irrigation-rainfall-discharge interactions are reviewed.

TABLE OF CONTENTS
 
 
1. Analysis of data
    1.1 Types of analysis
    1.2 Parameters
 
2. Standard statistical analysis
    2.1 Frequency analysis
           Means and standard deviations
           Cumulative frequencies of crop yield
           Cumulative frequencies of water-table depth
           Cumulative frequencies of soil salinity
           Cumulative and interval frequencies of hydraulic conductivity
           Cumulative frequencies of rainfall
           Cumulative frequencies of river discharge
           Cumulative frequencies of drain discharge
           Missing data
           Outliers
    2.2 Time-series analysis
           Time series (hydrograph) of drain discharge
           Time series (hydrograph) of water-table depth
           Frequency distribution in two sub-periods and mass method
    2.3 Testing of differences
    2.4 Spatial differences
    2.5 Correlation analysis
 
3. Conceptual statistical analysis
    3.1 Linear regression, ratio method
    3.2 Linear regression, least squares method
           Linear relation between drain discharge and level of the water table
           Non-linear relation between drain discharge and water table
           Linear relation between crop production and depth of water table
    3.3 Intermediate regression
    3.4 Segmented two-variable linear regression
           Non-linear relation between water level and time
           Non-linear relation between crop production and soil salinity
           Non-linear relation between crop production and irrigation
           Non-linear relation between crop production water table
    3.5 Segmented three-variable linear regression

 
4. Conceptual deterministic analysis
    4.1 Introduction
    4.2 Transient recharge-discharge relations
 
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probability distribution Analysis of data in famers' fields encompasses the regression of crop production on important growth factors of the soil.

The figure shows a probability distribution fitted to rainfall data as the climatic factors are important for crop growth.
While making assessments about the state of the agriculture it may be usefull to apply models to the relations between water table and hydraulic conductivity. Also factors like soil salinity, irrigation and drain discharge can be modelled.