Description of the Nitrogen Model


The Model program estimates the response of twenty four different C3 arable crops to N-fertilizer and the way it is affected by time, by soil type, by cultural practice and by weather. It also calculates crop nitrogen and nitrate contents, the distributions of water and nitrate down the soil profile and the amounts of nitrate leached below different depths from the soil surface. Weather files have been prepared to represent the daily mean, temperature, rainfall, and potential evaporation for different parts of the world. To run the model it is necessary to select the most appropriate weather file and make any adjustments to monthly rainfall. Although it should therefore be possible to simulate N-response of crops grown in many countries, it must be emphasised that the validity of the model has only been tested in West Europe.

In the model the soil is visualized as consisting of 20 consecutive 5 cm thick layers. Roots develop laterally and vertically in the soil. The volume of soil from which they can extract mineral-N increases with plant mass until a stage is reached at which further root development ceases or until the roots reach a hard pan or other barrier to root penetration.

Fertilizer and crop debris are incorporated in the uppermost layers of soil. Microbial breakdown of the endogenous soil organic matter always increases soil mineral-N. But mineral-N is either produced or immobilized during the decomposition of crop debris, depending on its C/N ratio. When mineral- N is released it is first converted to ammonium-N which is then nitrified to nitrate-N, which it is assumed, is not absorbed on soil. It can be taken up by plant roots, can be leached downwards during rain or can move upwards during evaporation from the soil surface.

Crucial to the estimation of plant growth are two crop-nitrogen parameters, the critical plant N concentration (the minimum concentration for maximum growth rate and the maximum possible N concentration, and the way they decline with increasing plant growth. This information is provided by a file ancillary to the program. Plant growth is calculated from the daily mean air temperatures, from the plant mass per unit area, and from its N concentration relative to the critical concentration for a plant of the same weight.

To calculate crop uptake first the potential demand of the crop for nitrogen is calculated from its mass per unit area, from its N content, from the maximum possible concentration for a plant of the same mass and from the potential maximum increment in weight. Then the maximum amount of N which the plant roots can extract from soil is estimated. If this is less than crop demand then it determines uptake.

Transpiration is calculated from fractional crop cover (derived from the plant mass), the rate of loss of water from an open water surface (a component of the weather file) and the amount of water in the rooting zone. Evaporation from bare soil likewise depends soil water distribution down the profile and on the evaporative conditions.

The foregoing processes are represented by equations and the calculations are repeated for each day and for each layer of soil.

The effects of water stress are assumed to be taken account of by the input of the maximum yield. It is assumed that crop growth and thus crop demand for N is more sensitive to dry conditions than the ability of the roots to extract that demand from soil. In consequence the model does not include routines for the effects of low soil moisture content on the transport of mineral-N to the roots.

The model has been developed for use of ammonium and nitrate based fertilizers. It does not include equations for any adverse effects of fertilizer-N on plant growth such as those caused by high osmotic stress or ammonia toxicity. Nor does it deal explicitly with ammonia volatilization.

Flow Diagram of the Nitrogen Model

 

Most of the algorithms in the model are given in GREENWOOD et.al. (1996), see the references at then end of this document.

The main exception is that most of the critical-N and maximum possible N-concentrations in the plants and the way they decline with increase in plant mass are taken from GREENWOOD, D. J. & DRAYCOTT, A. (1989a), see also among the many other relevant references below.

Estimation of mineralization rate of soil organic matter

The Nitrogen Model assumes that mineralization rate is dependent on temperature in degrees centigrade. But even when account is taken of temperature, mineralization varies greatly from soil to soil, partly as a consequence of differences in organic matter content and in soil texture. Most arable soils have an organic carbon content of less than 4% .and a C/N ratio of between 9 and 12 in the top 30 cm. For these soils the mineralization rate (MNRLT) of soil organic matter in kg of N/ha/day at 15 degrees centigrade can be calculated from the percentage organic-C in soil (CORG) and the percentage by weight of soil mineral particles that are less than 20 micro metres ( x ), a value that can be obtained by interpolation of standard soil mechanical analyses. First the decomposable %C (CDEC) is calculated as which ever is the larger

 

CDEC = 0.1   or    CDEC = CORG -0.017 * x + 0.001 * EXP(0.075 * x)

 

and then MNRLT is calculated as

 

MNRLT = 674 * CDEC * [ 0.0069 * exp(-4.294 * CDEC) + 0.0012]

 

The value 674 is a calibration coefficient for a site in the West Midlands of the UK; it may be different in other parts of the world experiencing different climates.

The above formulae are derived from:

RUHLMANN, J. (1999). A new approach to estimating the pool of stable organic matter in soil using data from long term field experiments. Plant and Soil 243, 149-162.

RUHLMANN, J. (1999). Calculation of net mineralization from the decomposable soil organic matter pool. Acta Horticulturae 506, 167-173.

These estimates can only be very approximate as mineralization rates are also very dependent, in ways that are not fully understood, on factors such the type of soil organic matter, previous cropping, wetting and drying cycles and cultivation practices.

NON-OBVIOUS APPLICATIONS OF THE N MODEL

  1. Estimation of daily weather for any of 134 regions throughout the world.
    1. Select the region
    2. Click its link to get the 'Simple Input' page
    3. Scroll down and click on the RUN button and wait for output
    4. Click on the 'Detailed output' link
    5. Click on the 'Weather input' link

The displayed page shows four columns, namely: the day number of the year, the mean of the minimum and maximum temperature (deg. C), the evaporation from an open water surface (mm) and the rainfall (mm). You can save the page as a weather file or print it directly from your browser.

  1. Estimation of maximum yield (total dry matter excluding fibrous roots) for 25 crops grown in any of the 134 climatic regions.
    1. Select the region
    2. Click its link to get the 'Simple Input' page
    3. Click the link for 'Advanced Input'
    4. Select a crop
    5. Enter a sowing/planting date
    6. Enter a harvest date
    7. Enter zero for every month in the rainfall table
    8. Click on the RUN button and wait for output

A drought warning then appears which gives an estimate of the maximum plant dry weight assuming that the crop is healthy and growth is never limited by shortage of either water or nutrients.

  1. Estimation of the rates of processes in fallow soils.

By setting the maximum yield to the low value of 0.1 t/ha (thus minimizing crop-N uptake) and running the model in the usual way the following may be estimated from the 10-day outputs:

    1. Evaporation from the soil surface.
    2. The amount of nitrate-N leached below the maximum depth of rooting and 90 cm from the soil surface.
    3. The amount of mineral-N that is either mineralized or immobilized during the decomposition of crop debris. If the carbon/nitrogen ratio of the crop debris is high the breakdown results in a disaappearance of soil-mineral by immobilization into newly formed organic materials. The rate of breakdown is then limited by the amounts of soil mineral-N. If the carbon/nitrogen ratio is low decomposition results in the release of mineral-N into soil. So the carbon/nitrogen ratio of the crop residues has a decisive influence on determining the effects of their decomposition on the N-economy of soil.
      • To determine the amounts of mineral-N either released or immobilized during decomposition the model should be run with the required soil mineral-N (and fertilizer-N application) first with crop debris and then without crop debris. The difference in mineral -N between the two outputs gives the release/immobilization of mineral-N during decompositoion.
      •  
  1. Effect of soil type and rainfall on leaching losses.

This can be estimated for cropped soils by modifying the volumetric water content at field capacity according to the soil type (see table below) and by modifying the input monthly rainfall. It can also be estimated for fallow soils by making, in addition to the above changes, the maximum plant dry weight equal to 0.1 t/ha thereby minimizing the effect of plant growth on the calculated N-economy of the soil.

SOIL TEXTURE AND FIELD CAPACITY

     Soil Texture

Volumetric water content

     Loamy sand

0.18

     Sandy loam

0.22

     Loam

0.34

     Silty clay loam

0.46

     Clay

0.42


The volumetric water contents in the table above are median values of
UK soils at 0.05 bar and so are considered to be at field capacity; they are derived from Russell E W (1973) Soil conditions and Plant Growth 9th edn p.474, Longman, London.

 

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