EU 2021/1226 - Affected population at intervals (Median)

EU 2021/1226 - Affected population at intervals (Median)

This entry will explain an explanation of the algorithm for calculating the population affected by level intervals under Directive EU 2021/1226.






About the EU 2021/1226:
Available information shows that the houses are arranged within an apartment building so that they have more than one façade exposed to noise, or no information is available on how many facades of the houses are exposed to noise.

In this case, for each building, the set of locations of the associated receivers will be divided into a lower half and a higher half depending on the* * *value of the median evaluation levels calculated for each building. In the event of an odd number of receiving points, the procedure is applied by excluding the location of the receiver with the lowest noise level.
For each receiving point of the upper half of the data set, the number of housing and people living in housing will be distributed equally, so that the sum of all the receiving points of the top half of the total number of persons. live in housing. No housing or people living in housing will be allocated to recipients of the lower half of the**dataset.
___
* The average value is the value separating the upper half (50%) from the lower half (50%) of a dataset.
** The lower half of the data asset can be assimilated to the presence of relatively quiet facades. If it is known in advance, for example depending on the location of buildings in relation to the dominant noise sources, which receiver locations will not give way to higher/lower noise levels.

On the calculation algorithm:
The formula for each interval is as follows:

iif(int_lo<=lp1)*(lp1-87)*(lp1>=lpflmed1), iif(tot_facp_n>

It redistributes the population in the top half (which depend on levels). Below we will explain each of its parts:
  1. iif(int_lo<=lp1)*(lp1-87)*(lp1>=lpflmed1): Expression to classify results into levels according to intervals.
    1. (int_lo<=lp1)*(lp1<int_hi):intervals (lower limit and higher limit).
    2. (lp1>-87): Lp1 must exceed -87 (to avoid invalid values).
    3. (lp1>=lpflmed1): Lp1 must be higher/equal than the value of the median.
In this way, the population is allocated to intervals, excluding invalid values and values below median.

THEN: If the above is true, then a new condition is laid down:
  1. iif(tot_facp_n>=2: This is the new condition (if the total number of facade points is greater than or equal to 2). The required "division in an upper and lower half" is only possible with a minimum of 2 facade points.
THEN: If the above is true, the following calculation is made:
  1. tot_einw/floor(tot_facp_n/2): the number of residents per recipient (above median) is calculated. It should be borne in mind that "floor" in this formula is just the mathematical expression to round down and has nothing to do with the term "floor". The number of facade points which meet the criterion "lp1>=lpflmed1" in the first condition multiplied by the number of residents determined here will result in the entire building.
ELSE: But the above conditions apply:
  1. ,0): if the second condition is not met, nothing happens.
  2. ,0): if the first condition is not met, nothing happens.

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