Traffic NO2 formula (Traffic NO2 Overlay): Difference between revisions

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The emission numbers (E) for both NOx and NO2 are computed as:
The emission numbers (E) for both NOx and NO2 are computed as:


<math>E_{drive} = (1.0 - j_c) \cdot n_c \cdot E_{c,d} + (1.0 - j_v) \cdot n_v \cdot E_v + (1.0 - j_t) \cdot n_t \cdot E_t + (1.0 - j_b ) \cdot n_b \cdot E_b</math>
<math>E_{drive} = (1.0 - j_c) \cdot n_c \cdot E_{c,d} + (1.0 - j_v) \cdot n_v \cdot E_{v,d} + (1.0 - j_t) \cdot n_t \cdot E_{t,d} + (1.0 - j_b ) \cdot n_b \cdot E_{b,d}</math>


<math>E_{jam} = (j_c) \cdot n_c \cdot E_{c,j} + j_v \cdot n_v \cdot E_{v,j} + j_t \cdot n_t \cdot E_{t,j} + j_b \cdot b_t \cdot E_{b,j}</math>
<math>E_{jam} = (j_c) \cdot n_c \cdot E_{c,j} + j_v \cdot n_v \cdot E_{v,j} + j_t \cdot n_t \cdot E_{t,j} + j_b \cdot b_t \cdot E_{b,j}</math>

Revision as of 09:41, 2 March 2022

The calculations follow the standard rekenmethode 1 (SRM 1).

where:

= annual average concentration [μg/m3],
= annual average background-concentration (default = 0 [μg/m3], can be adjusted via the overlay attributes),
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Cb,jm[NO_2]} = annual average traffic contribution to NO2 concentration [μg/m3].

Contribution NO2

To compute the annual average traffic contribution to NO2, Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Cb,jm[NO_2]} [μg/m3], the following formula from SRM1 is applied:

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Cb,jm[NO_2]= fNO_2 \cdot Cb,jm[NO_x] + \frac{B \cdot Ca,jm[O_3] \cdot Cb,jm[NO_x] \cdot (1-fNO_2)}{Cb,jm[NO_x] \cdot (1-Fno2)+K}}

where:

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Cb,jm[NO_x]} = annual average traffic contribution to NOx concentration [μg/m3],
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Cb,jm[O_3]} = annual average concentration ozon [μg/m3] (default = 42),
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle fNO_2} = weighted fraction direct emitted NO2 [-],
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle B} = parameter (default 0.6),
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle K} = parameter for conversion NO to NO2 (default = 100 μg/m3).

Contribution NOX

To compute the annual average traffic contribution to NOX, Cb,jm[NOX] [μg/m3], the following formula from SRM1 is applied:

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Cb,jm[NO_x] = Fk \cdot ENO_x \cdot \theta \cdot Fb \cdot Fmeteo}

where:

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Fk} = calibration factor [-] (default = 0.62]
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle ENO_x} = emission number NOx [μg/m/s]
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \theta} = dilution factor [-]
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Fb} = tree factor (default = 1)
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Fmeteo} = 5/windspeed. Default value for windspeed is 5 m/s

The computation of the dilution factor, Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \theta} , is split into two situations.

For surrounding cells within a distance of 30m:

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \theta = a \cdot S^2 + b \cdot S + c}

And for cells within a distance of 30-60m (for road-type 1 only):

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \theta = \alpha \cdot S^{p}}

where:

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle S} = the calculation distance
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a} = configurable using model attribute: ROAD1_30M_A
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle b} = configurable using model attribute: ROAD1_30M_B
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle c} = configurable using model attribute: ROAD1_30M_C
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \alpha} = configurable using model attribute: ROAD1_60M_ALPHA
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle p} = configurable using model attribute: ROAD1_60M_POWER

NO2 overlay 02.PNG

The weighted fraction of direct emitted NO2 [-] is computed as:

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle fNO_2 = \frac{ENO_2}{ENO_x}}

where:

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle ENO_2} = emission number NOs [μg/m/s]

Tree Factor

The tree factor is calculated as followed:

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Fb = 1 + \frac{t}{ 2 \cdot A_t}}

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle A_t = \pi \cdot \frac{d^2}{A_c}}

where:

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Fb} = Tree factor, value between 1 and 1.5,
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle t} = Amount of tree cells within the search distance,
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle A_t} = Search area measured in amount of cells,
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle d} = Search distance of trees, currently set on 30 meters,
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle A_c} = Grid cell area in square meters.

Emission numbers

The emission numbers (E) for both NOx and NO2 are computed as:

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle E_{drive} = (1.0 - j_c) \cdot n_c \cdot E_{c,d} + (1.0 - j_v) \cdot n_v \cdot E_{v,d} + (1.0 - j_t) \cdot n_t \cdot E_{t,d} + (1.0 - j_b ) \cdot n_b \cdot E_{b,d}}

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle E_{jam} = (j_c) \cdot n_c \cdot E_{c,j} + j_v \cdot n_v \cdot E_{v,j} + j_t \cdot n_t \cdot E_{t,j} + j_b \cdot b_t \cdot E_{b,j}}

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle E = (E_{drive} + E_{jam} ) \cdot \frac{1000}{(24 \cdot 3600)}}

where:

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle E} = Calculated emission of either NOx or NO2
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle E_{drive}} = Calculated emission of driving traffic of either NOx or NO2.
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle E_{jam}} = Calculated emission of jammed traffic of either NOx or NO2.
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle E_{c,d} } = Calculated emission of driving cars, hourly or daily, of either NOx or NO2.
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle E_{v,d} } = Calculated emission of driving vans, hourly or daily, of either NOx or NO2.
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle E_{t,d} } = Calculated emission of driving trucks, hourly or daily, of either NOx or NO2.
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle E_{b,d} } = Calculated emission of driving buses, hourly or daily, of either NOx or NO2.
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle E_{c,j} } = Calculated emission of jammed cars, hourly or daily, of either NOx or NO2.
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle E_{v,j} } = Calculated emission of jammed vans, hourly or daily, of either NOx or NO2.
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle E_{t,j} } = Calculated emission of jammed trucks, hourly or daily, of either NOx or NO2.
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle E_{b,j} } = Calculated emission of jammed buses, hourly or daily, of either NOx or NO2.
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle n_c} = number of car traffic, hourly or daily value.
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle n_v} = number of van traffic, hourly or daily value.
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle n_t} = number of truck traffic, hourly or daily value.
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle n_b} = number of bus traffic, hourly or daily value.
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle j_c} = fraction of car traffic in traffic jams.
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle j_v} = fraction of van traffic in traffic jams.
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle j_t} = fraction of truck traffic in traffic jams.
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle j_b} = fraction of bus traffic in traffic jams.
  • N = traffic intensity [units per day]
  • fm = fraction vans [-]
  • fz = fraction trucks [-]
  • fb = fraction buses [-]
  • El = emission value cars [g/km]
  • Em = emission value vans [g/km]
  • Ez = emission value trucks [g/km]
  • Eb = emission value buses [g/km]
  • FS = fraction congested traffic [-]
  • E*,d = emission factor per class (cars, vans, trucks or buses) if congested

Notes

  • If the traffic amount is defined as a single value, that value is used for all defined hours. However, if the amount if an array of values, each of the 24 indexes of that array are assumed to correspond to the hour denoted by those indexes, and as such that specific value from the array is used.
  • The SRM1[1] calculation method is only applicable for urban environments.

See also

References

  1. ↑ SRM1 ∙ Regeling beoordeling luchtkwaliteit 2007, Bijlage I ∙ Found at: http://wetten.overheid.nl/BWBR0022817/2013-01-01#Bijlage1 ∙ (last visited: 16-02-2022)
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