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net.simplace.sim.components.experimental.intercropping.BelowgroundAllocationFactor

The module uses a straigthforward approach:

• Root Length Densities (RLD) and Root Restriction Factors (RRF) are scaled according to the area covered by each crop
• Common RLD and RRF are just the sum of the scaled RLDs and RRFs
• Below ground allocation factors are proportional to the scaled RRFs

Calculation

Root Length Densities per layer $rld_{1,i}, rld_{2,i}$ and are scaled to the coresponding area fractions $a_1, a_2$ occupied by the two crops and the sum of both is calculated.

\[ rld_i = rld_{1,i} \cdot a_1 + rld_{2,i} \cdot a_2 \]

Same holds for Root Restriction Factors per Layer $rrf_{1,i}, rrf_{2,i}$ \[ rrf_i = rrf_{1,i} \cdot a_1 + rrf_{2,i} \cdot a_2 \]

The maximum rooted layer is the biggest layer number, where Root Length Density is greater than 0. \[ n_{max} = max\{i | rld_i > 0\} \]

To calculate the allocations factors $f_1, f_2$, first the total sum of root restriction factors is calculated \[ s = \sum_i rrf_{1_i} + \sum_i rrf_{2,i} \]

then the factor per layer is the root restriction factor per layer divided by the sum

\[ f_{1,i} = \frac{rff_{1,i}}{s} \quad \quad f_{2,i} = \frac{rff_{2,i}}{s} \]

To get the total factors, the factor per per layers are summed up

\[ f_1 = \sum_i f_{1,i} \quad \quad f_2 = \sum_i f_{2,i} \]

References

Component Variables