Atmospheric Environment 35 (2001) 1505}1515

An empirical approach for the prediction of annual mean nitrogen dioxide concentrations in David C. Carslaw*, Sean D. Beevers, Gary Fuller

Environmental Research Group, King's College London, London SE1 7EH, UK Received 16 March 2000; received in revised form 23 May 2000; accepted 30 May 2000

Abstract

Annual mean limits for NO concentrations have been set in the European Union, which will be most challenging to meet in large urban conurbations. In this paper, we discuss techniques that have been developed to predict current and # future NO concentrations in London, utilising ambient data. Hourly average NOV (NO NO) and NO concentra- tions are used to calculate NOV frequency distributions. By de"ning relationships between the annual mean NOV and NO at di!erent sites, it is possible to investigate di!erent NOV reduction strategies. The application of the frequency distribution approach to monitoring sites in London shows that given the likely change in emissions by 2005, it is unlikely that much of central and will meet the objective. The approaches used suggest that meeting the objective in will be the most challenging for policy makers requiring NOV concentrations as low as 30 ppb, compared with values closer to 36}40 ppb for . Predictions for 2005 indicate that concentrations of ( NO up to 6 ppb in excess of the objective are likely in central London. 2001 Elsevier Science Ltd. All rights reserved. Keywords: Empirical relationships; Air quality strategy; Urban pollution; Nitrogen oxides; Frequency distribution

1. Introduction objective, and this is borne out by pollution measure- ments in London (SEIPH, 2000). The Air Quality Strategy for , Scotland, Wales The need to meet the annual mean objective has led to and Northern Ireland sets out the UK Governments' considerable interest in the development of techniques approach to tackling air pollution for eight key pollu- to predict future concentrations of NO, particularly in tants (DETR, 1999a, b). The strategy sets limits and urban areas. Many modelling approaches are currently objectives for these pollutants and the times scales by used to predict NO concentrations such as Gaussian, which they are to be met. Two objectives for NO are Lagrangian and Eulerian models (Derwent, 1999; Owen being considered: an annual mean objective of 21 ppb et al., 1999). These models require signi"cant data input (40 lgm\) not to be exceeded in any calendar year and and resources. Furthermore, it can be di$cult to develop a 1-h limit value of 105 ppb (200 lgm\) not to be deterministic models that are accurate at the time scales exceeded more than 18 times in each calendar year. and spatial scales of urban pollution, i.e. down to scales The 21 ppb limit is consistent with the European Union of seconds and metres. An alternative approach is the use Directive 96/62/EC Framework Directive for NO to be of empirical models derived from ambient measurements achieved by 1 January 2010. The UK aims however to of pollution. This approach is potentially very attractive; meet this objective by 31 December 2005. The annual being both simple and easy to apply. Empirical models mean objective is considered more stringent than the 1-h also make use of monitoring data, which are often only used in a retrospective sense through comparisons with air quality guidelines and standards. London is unique in the UK for having such a high density of monitoring sites * Corresponding author. and lends itself to the development of alternative tech- E-mail address: [email protected] (D.C. Carslaw). niques based on the use of ambient data.

1352-2310/01/$- see front matter ( 2001 Elsevier Science Ltd. All rights reserved. PII: S 1 3 5 2 - 2 3 1 0 ( 0 0 ) 0 0 2 8 7 - 9 1506 D.C. Carslaw et al. / Atmospheric Environment 35 (2001) 1505}1515

In this paper we have adopted a new approach to orbital motorway. Fig. 1 shows the area covered by formulating relationships between NOV and NO for and the orbital motorway. The sites are urban background locations. Urban background loca- operated by the UK Department of the Environment tions are de"ned here as sites that are at least 25 m away Transport and the Regions (DETR) or by local authori- from a major road source, or at least are not dominated ties and are part of either the UK Automatic Urban and by a single source in the immediate vicinity of the Rural Network or the London Air Quality Monitoring monitoring site. These sites therefore tend to represent Network (LAQN). All instruments measure concentra- the pollution climate over an area of approximately tions of NOV and NO by chemiluminescence. The instru- 1km. ments are tested on a weekly or fortnightly basis using Through the development of such models, we hope to traceable low-concentration NO cylinders to derive cor- determine the following: rection factors for NOV and NO measurements. NO is subsequently calculated as the di!erence between the E the relationship between annual means of NO and V corrected values of NOV and NO. More extensive instru- NO in a large urban area; ment performance tests are carried out either 3 or E the e!ect of NOV reductions on annual mean NO 6 monthly by external audit bodies. These tests include concentrations; linearity of response, response time, #ow, NO converter E  the extent to which NOV concentrations must be re- e$ciency and checks on the stability of the gas source duced in order to meet the annual mean NO objec- used for fortnightly calibrations. tive; The uncertainty associated with air quality measure- E the extent of exceedences of the annual mean NO ments was estimated by Stevenson et al. (1998) for the objective across London by the end of 2005. UK Automatic Urban Network and by SEIPH (1997) for the LAQN. These studies suggest that a working uncer- tainty of around 10% (2p) should be considered when 2. Monitoring data discussing high values and long-term averages of NO.

2.1. Automatic monitoring data

3. NO2 vs. NOx curves London is unique in the UK in having a large number of high-quality automatic monitoring sites for the 3.1. Hourly NO2 vs. NOV curves measurement of NOV and NO. At the beginning of the year 2000 NOV and NO were measured at over 60 The relationship between hourly NOV and NO con- monitoring sites within the area bounded by London's centrations can be investigated by plotting each hourly

Fig. 1. The location of urban background monitoring sites in the London area. D.C. Carslaw et al. / Atmospheric Environment 35 (2001) 1505}1515 1507 value of NOV against the corresponding NO concentra- there is generally enough ozone (O) present to convert tion in a scatter plot, as shown for the Bloomsbury site in NO to NO, i.e. a NOV-limited regime. As the NOV Fig. 2. Fig. 2 shows that for any value of NOV there can concentration increases further, the gradient of the curve be a wide range of NO concentrations. Derwent and decreases markedly, corresponding to conditions where Middleton (1996) found that the relationship between little O remains due to titration by NO. Under these NOV and NO could be usefully summarised by plotting conditions, little conversion from NO to NO occurs, i.e. NO against NOV in di!erent NOV &bins'. The mean O-limited conditions. This regime continues until the NO concentration is averaged according to di!erent gradient once again steepens and NO concentrations ranges of NOV concentration, in Derwent and Middle- increase. At high NOV concentrations that occur typi- ton's case 0}10, 10}20 ppb, etc. Fig. 3(a) shows the e!ect cally during winter time episodes the tri-molecular reac- of summarising data in this way for the Bloomsbury site tion between NO and O is thought to occur, resulting in in 1998. The "rst part of the curve in Fig. 3(a) between increased NO conditions (Bower et al., 1994). The shape 0 and approximately 100 ppb NOV shows a steep NO of NO vs. NOV curves exempli"ed by Fig. 3(a) is seen at gradient, which can be interpreted as the region in which all monitoring sites and for all years. However, the pre- cise relationship is always both year and site-dependent.

3.2. Derivation of annual mean NO2 concentrations

The annual mean concentration of NO at a monitor- ing site can be derived by calculating the NO concentra- tion from the NO vs. NOV relationship for each hourly value of NOV, and then averaging the results. Alterna- tively, the annual mean can be calculated by "rst sorting the data into NOV bins, and calculating the mean NO concentration for each bin, NO(i). The bin averages are multiplied by the number of points in each bin, F(i) (the frequency distribution of points in the bins). Finally, the annual mean NO concentration is calculated by divid- "+GL ing by the number of observations, N" GF(i):

+GL NO (i)F(i) " G  NO , (1) N"

where i is a NOV interval, e.g. 10}15 ppb and n is the Fig. 2. The NOV}NO relationship for the Bloomsbury site interval that contains the highest measured NOV concen- (1998) based on hourly data. tration.

Fig. 3. (a) The hourly NOV}NO relationship at Bloomsbury for 1998 showing the bin averaged NO concentrations after sorting into 5 ppb NOV bins and (b) the corresponding NOV frequency distribution F(i) showing the number of points averaged in each bin. 1508 D.C. Carslaw et al. / Atmospheric Environment 35 (2001) 1505}1515

The frequency distribution approach, Eq. (1), can be derived from and is equivalent to the usual de"nition of an annual mean. When using Eq. (1), the bin means are evaluated separately before combining them, and this may cause slight numerical discrepancy. Later in this paper, Eq. (1) is adapted to predict future annual means, and in order to do this, sparsely populated bin may be omitted. The equation would no longer exactly equal the full annual mean, but if such omitted bins are few in number, their e!ect on the accuracy of the equation will be small. For example, the annual mean NO concentra- tion at the Bloomsbury site was calculated by multiply- ing the NO vs. NOV relationship in Fig. 3(a) by the frequency distribution shown in Fig. 3(b) and dividing by the number of hourly measurements. Eq. (1) is e$cient to use because it reduces N" observations in a year to n bin means and n populations F(i) in each bin. Taking the Bloomsbury site as an example, 8760 observations are reduced to 105 bins for 1998 data. It should be noted that Fig. 4. The e!ect on the NO frequency distribution, F(i), at the no attempt is made to "t a line through the data in Fig. V Bloomsbury site as NOV concentrations are reduced in 10% 3(a) using an appropriate polynomial equation: the corre- intervals from 0 to 80% reduction (1998). sponding NOV bin values are simply multiplied together. At high NOV concentrations, there may only be one measurement in each bin, with neighbouring bins re- maining empty. However, this does not a!ect the process Using the techniques described in the previous section, described. The frequency distribution approach avoids involving the NO vs. NOV relationship and the fre- the cumbersome process of curve-"tting large data sets. quency distribution to calculate annual mean NO, the e!ect of NOV reduction at di!erent monitoring sites 3.3. Annual mean NO2 vs. NOx relationships across London has been explored. Di!erent NOV reduc- tions have been considered by re-calculating the hourly A more useful relationship than the hourly relation- values of NOV for di!erent percentage reductions in NOV ship discussed in the previous section for predicting NO from 0 to 80% in 5% intervals, reducing the annual mean concentrations would be that between the annual mean NOV accordingly, and then sorting to "nd the new fre- NOV and NO concentrations. One potential approach quency distribution. The revised frequency distributions  to developing such a relationship would be to plot the F (NOV) for NOV can be multiplied by the NO vs. NOV annual mean NOV against the annual mean NO for all relationship to provide a new estimate of the annual urban background sites in London. Even in London, the mean NO concentration, using Eq. (1). Fig. 4 shows how number of appropriate sites is limited. For example, the the frequency distribution changes with reductions in use of 13 monitoring sites would yield a plot with 13 NOV. There are several points to note when considering points with a signi"cant degree of scatter. Stedman et al. the e!ect of successive NOV reductions on the frequency (1997) and Stedman (1998) have adopted this approach distribution. First, the shape of the relationship becomes for sites across the UK, but have combined data from increasingly narrow and tall as NOV values migrate to many di!erent urban areas to do so. lower concentrations, with increased reductions in NOV. Derwent (1999) using a Lagrangian trajectory model Second, as the NOV concentration is reduced an in- for predicting NOV and NO concentrations in London, creased number of points move to the NOV-limited re- has explored the e!ect on NO of reducing NOV concen- gime. The process therefore calculates the annual mean trations. As NOV concentrations were reduced, NO NO concentration that corresponds to the reduced concentrations were shown to move down NO vs. NOV NOV concentration. The process can be repeated to re- curves following the same relationship. The assumption calculate new annual mean NO concentrations and that points follow the same NO vs. NOV relationship their corresponding NOV concentrations for each NOV seems reasonable as for example, points with high con- reduction scenario considered. The result is a new rela- centrations of NOV (and little O available) move down tionship (Fig. 5) relating the reduced annual means of the curve to a higher NO :NOV ratio, where more O is NOV and NO concentrations, instead of the hourly available. This approach assumes that every hourly NOV relationship derived by Derwent and Middleton (1996). concentration is reduced by the same proportion and The new relationship, despite relating annual mean con- does not consider scenarios that are more complex. centrations of NOV and NO, implicitly includes the full D.C. Carslaw et al. / Atmospheric Environment 35 (2001) 1505}1515 1509

Fig. 5. The relationship between the annual mean NOV and NO at the Bloomsbury site for 1998. The plot shows the e!ect of generating extra points by successive NOV reductions, sorting for the new frequency distribution, and re-calculating the corre- sponding annual mean NO concentration.

distribution of concentrations measured each hour of the year. At high concentrations of NOV and for small reduc- tions in NO it is possible for a few points to move down V Fig. 6. Derived annual mean relationships between NO and to a bin that is empty, i.e. where no measurements exist. V NO (1998) for (a) central and inner London monitoring sites These points, which are few in number, can be ignored as and (b) outer London monitoring sites. they do not a!ect the annual mean concentration predic- tion in a signi"cant way. The value of N" in Eq. (1) is revised accordingly before calculating the annual mean NO concentration. was consistent from one year to the next, i.e. central and inner London sites always have a higher NO :NOV 3.4. Analysis of background monitoring sites in London ratio. The observation that monitoring sites can be or- dered in this way is based on data from relatively few sites Annual mean NO vs. NOV relationships have been and additional analysis of more monitoring sites over calculated for the urban background monitoring sites in more years is required to further support this idea. Some Fig. 1. For each monitoring site, NO vs. NOV relation- spread in the curves is also expected simply because of ships have been calculated using the technique described measurement uncertainty and the broad de"nition of an in the previous section. Fig. 6 shows the relationship urban background site. between NOV and NO for urban background sites The statement that central London sites have a higher across London for 1998. Fig. 6 shows that the relation- NO concentration than inner and outer London loca- ship supports the original idea of directly relating emis- tions for a particular value of NOV needs some quali"ca- sions of NOV to NO concentrations by Stedman et al. tion. To illustrate this point, the Bloomsbury site, (1997). However, the relationship is non-linear enough to situated close to the centre of London, can be considered a!ect the predictions of NO from NOV. Fig. 6 also in more detail. During 1998, the annual mean NOV shows a spread in the relationships derived with the concentration was 67 ppb and NO was 34 ppb. For a central London sites Bloomsbury and Bridge Place hav- location surrounded by lower emissions, e.g. a single ing higher NO concentrations for a particular concen- road in a rural area, to have the same value of NOV as tration of NOV. Conversely, outer London sites such as Bloomsbury, it would have to be much closer to the En"eld and Sutton have lower NO concentrations for emissions source. However, being closer to the source of a particular value of NOV. An analysis of other years NOV would mean that there would be less time for NO to shows that the relative ordering of these relationships be converted to NO throughreactionwithO, therefore 1510 D.C. Carslaw et al. / Atmospheric Environment 35 (2001) 1505}1515 leading to an annual mean NO concentration lower required to meet the NO objective. The two central than 34 ppb. The same argument applies to locations in London sites (Bloomsbury and Bridge Place) require the inner or outer London or indeed any smaller city or greatest reduction in NOV of between 42 and 61% de- town; the location would have to be closer to a source of pending on the year being considered. Despite decreases NOV, leading to lower NO concentrations than seen at in emissions in urban areas in the UK since 1993, little Bloomsbury. The high NO :NOV ratio is therefore only variation is seen in the calculated NOV reduction re- seen in central London at higher annual mean NOV quired at the Bloomsbury site. concentrations, from approximately 40}80 ppb. An ana- Table 1 also gives an estimate of the corresponding lysis of other monitoring sites in London and other NOV concentration for 21 ppb NO at each site. These urban areas of the UK con"rmed that at no time has an values are reasonably consistent from one year to the annual mean NOV concentration of around 67 ppb corre- next, with the exception of 1997 for the Bloomsbury and sponded to an annual mean NO concentration as high Bridge Place sites, where lower reductions in NOV are as 34 ppb (Broughton et al., 1997, 1998). required. Bloomsbury requires the lowest NOV concen- tration to reach 21 ppb NO, ranging between 29.6 and 35.9 ppb (mean 31.7 ppb). The other sites in inner London will apparently meet the objectives with higher NOV 4. Reduction in NOV required to meet 21 ppb NO2 concentrations, typically in the range 36}38 ppb.

For monitoring sites that currently exceed the 21 ppb objective, an analysis has been carried out to determine the NOV concentration that must be reached in order 5. NO2 predictions for 2005 that the NO objective is met. This step is a useful link in determining the likely reduction in emissions required to 5.1. Pollution climate mapping of NOx concentrations meet the NO objective. It is easier to consider NOV concentrations than NO concentrations as NOV can be A mapping technique originally devised by Stedman more readily related to changes in emissions. Three sites et al. (1997) has been used to successfully provide a simple have been assessed in detail over 7 or more years: Bridge and e!ective way of predicting background concentra- Place, Bloomsbury and West London. These sites have tions across the UK on a 1 km basis. Stedman et al. been chosen as all of them have been in operation con- (1997) found that the concentration at a background tinuously at least since the beginning of 1992. Table 1 location could be assumed to consist of two components: ` a shows the percentage reduction in NOV concentration an underlying rural background and a contribution

Table 1 NOV reduction required to meet the annual mean NO objective of 21 ppb at urban background monitoring sites

Year Bridge place Bloomsbury West London Kensington Tower Hamlets Ealing (Central London) (Central London) (Inner London) (Inner London) (Inner London) (Outer London)

Percentage NOV reduction required to meet 21 ppb NO2 1998 42 55 33 18 21 21 1997 45 58 42 31 30 35 1996 52 60 37 30 28 32 1995 51 59 39 *** 1994 51 56 48 *** 1993 53 59 50 *** 1992 61 61 53 ***

Annual mean NOV concentration corresponding to 21 ppb NO2 1998 31.7 30.7 35.4 33.8 33.8 36.9 1997 38.5 35.9 41.1 40.0 38.0 38.0 1996 32.8 32.2 40.0 37.4 36.4 39.5 1995 33.8 30.7 39.5 1994 34.8 32.2 36.4 1993 33.8 29.6 36.4 1992 34.8 31.2 39.5 Mean 34.3$4.2 (2p) 31.7$4.0 (2p) 38.5$4.4 (2p) 36.9 35.9 38.0 D.C. Carslaw et al. / Atmospheric Environment 35 (2001) 1505}1515 1511

; ;  from more local sources within a 5 5 km grid square 5 5km emissions of NOV plotted against the annual centred on the monitoring site. An empirical relationship mean NOV concentration recorded at each site. Some was derived by relating the components scatter in the plot is expected since the emissions distribu- tion in a 5;5km area is not equally homogeneous " # # Background NOV (ppb) kE rural NOV (ppb) C, around each site and because of uncertainties in measure- (2) ments and emissions estimates. However, by considering enough sites it is possible to establish typical or average conditions. A linear regression analysis of the data shown where k is a constant and E is the total emission of NOV in the 5;5km area in tonnes per year from near- in Fig. 7 yields a line with gradient 13.0 and an intercept ground-level emissions sources, i.e. excluding major in- of 22.5 for 1998. Plotting the data in this way is equiva- dustrial point source emissions, and C is a constant equal lent to the method used by Stedman (1998), except no to zero in this formulation of Eq. (2). attempt has been made to subtract the underlying rural concentration. A value of 22.5 ppb appears to be too high The underlying rural concentrations of NOV were de- compared with an estimated value of underlying rural rived by "rst estimating the rural NO concentration NO concentration of 8 ppb for 1998 derived from the "eld using 32 di!usion tube measurements of NO from V sites on the UK. Acid Deposition Secondary Network di!usion tube network. We therefore interpret the inter- cept as consisting of two components: an underlying (Stedman et al., 1997). The NOV concentration was then rural concentration of 8 ppb and a contribution from the derived by multiplying the estimated NO concentra- rest of London that is not accounted for in the 5;5km tions by a factor of 1.2; the ratio of NOV to NO ob- served at the rural Lullington Heath site on the south area (14.5 ppb). It is necessary therefore to adopt a modi- coast of England, measured using a chemiluminescent "ed approach for large urban areas, where emissions monitor. To obtain the value k in Eq. (2), the di!erence from outside the 5;5km area a!ect local concentra- between the measured concentration at a site and the tions. The constant, C, in Eq. (2), which is the `other underlying rural concentration was plotted against the urban contributiona, is therefore equal to 14.5 ppb in our 5;5km emissions, E, and a linear interpolation was application of the approach to London for 1998. applied, forcing the regression line through the origin. Eq. (2) allows estimates to be made of future concen- The method described above assumes, therefore, that the trations by modifying the values of the three products di!erence between the NOV measured at a background independently. The value of k can be assumed constant as site and the underlying rural concentration is a result of it relates to dispersion; E can be re-calculated based on emissions from the 5;5km area. an appropriate inventory; the rural NOV can be adjusted We have applied the principles of the mapping tech- downwards according to UK national NOV emission nique to London alone, using all urban background sites forecasts, and the other London contribution can be within the Greater London area, i.e. the sites bounded by reduced in line with total NOV emissions in London. The the outline of London in Fig. 5. Fig. 7 shows the application of the above approach to London alone has

 Fig. 7. Emissions over a 25 km area centred on urban background monitoring sites in London plotted against the annual mean NOV concentration for 1996}1998. 1512 D.C. Carslaw et al. / Atmospheric Environment 35 (2001) 1505}1515

Table 2 Table 3 Pollution climate mapping for urban background locations in Predictions of NOV and NO at monitoring sites across London London! for 2005 based on 1998 meteorology

 Year Relationship R Location NOV NO (ppb) (ppb) " # 1996 NOV 12.8.E 30.1 0.91 " # 1997 NOV 13.4.E 34.8 0.89 Bloomsbury 42.4 26.2 " # 1998 NOV 13.0.E 22.5 0.89 Bridge Place 39.6 24.2 Bexley 18.1 12.4 !Note: E is the 5;5km emission area. Brent 18.5 12.6 Ealing 25.2 15.8 17.9 12.3 many advantages. First, London has its own detailed En"eld 16.5 11.5 emissions inventory (Buckingham et al., 1997). Second, Kensington 30.4 18.0 there are su$cient monitoring sites for London to be Southwark 34.0 22.6 treated separately. Third, there is a consistent `dilutiona Sutton 19.4 13.0 Tower Hamlets 24.3 16.8 of emissions by meteorology across London, compared West London 34.0 21.0 with considering the entire area of the UK and the relationships implicitly take account of complex mixing, urban heat island e!ects and changes in surface rough- ness. Emissions in London are dominated by ground- level road transport sources unlike many other more level sources, the `other Londona contribution, has been industrial urban locations in the UK, which lends itself to reduced by 33%. The underlying rural NOV concentra- the approach. Another advantage of the approach is that tion was assumed to be 5 ppb in 2005, reduced in line predictions are constrained by actual measurements with anticipated total UK NOV reduction projections. and it is in e!ect self-calibrating. Furthermore, the pre- The London mapping approach was applied to estimate  dictive capability of the approach is determined more by 1km concentrations of annual mean NOV. From these identifying the relative contribution of emissions sources NOV predictions it was possible to estimate the annual in London and by the relative change expected in the mean NO concentration based on the techniques de- future. scribed previously. Table 3 shows the predictions of NOV The same analysis has been applied to 1996 and 1997 and NO at the di!erent urban background monitoring data and the results are shown in Table 2. Table 2 shows sites in London, with those sites exceeding the annual that the gradient is reasonably constant from one year to mean NO objective shown in bold type. The Bloom- the next (12.8}13.4). The gradient represents the e!ect of sbury site is predicted to exceed the objective by more meteorology, with a low value indicating more dilution than 5 ppb, whereas the West London site is predicted to  than a high value. The relatively high r values should equal the objective. The highest NO concentration pre- be interpreted with caution as only 13 sites were used dicted in central London is 27 ppb, some 6 ppb over the for the analysis. The relationships are however con- objective, and a few kilometres from the Bloomsbury site. sistent from one year to the next and give some con"- The distribution of NO across London is shown in dence in the validity of the technique as a method of Fig. 8, which shows two areas where the objective is calculating annual mean NOV concentration in a large exceeded: in central London and west towards Heathrow urban area. Airport. It should be noted that the area around Heath- row Airport is currently the subject of further analyses

5.2. A London NO2 map for 2005 using more detailed and speci"c emissions data.

The London-speci"c pollution climate mapping ap- proach has been applied to the year 2005 to estimate the 6. Discussion likely scale of exceedences of the NO objective. It has been assumed for the purposes of calculating future emis- 6.1. Implications for urban background locations in sions that non-road tra$c sources of NOV remain con- London stant between 1998 and 2005. Non-road tra$c sources of NOV are dominated by commercial and domestic natural The predictions of NO concentrations at urban back- gas use and these sources change slowly over time com- ground locations in London have produced interesting pared with the comparatively rapid changes in vehicle results that have implications as to how the reduction in emissions technology. Based on the di!erence in total NOV in London should be tackled. The predictions indi- NOV emissions between 1998 and 2005 for near-ground- cate that the reductions in emissions expected, by 2005, D.C. Carslaw et al. / Atmospheric Environment 35 (2001) 1505}1515 1513

Fig. 8. NO concentrations predicted across London in 2005 assuming 1998 meteorology and chemistry. The shaded areas represent regions where the annual mean objective of 21 ppb is predicted to be exceeded.

are insu$cient in order to meet the NO objective at central London therefore has more time for atmospheric urban background locations. Failure to meet the ob- chemistry to occur, even when the general availability of jective at urban background locations presents a very O is low as a result of scavenging by NO. Such trajecto- di!erent challenge for decision makers compared with ries are also likely to be a!ected more by direct emissions exceedences restricted to the immediate vicinity of major of NO, particularly from road tra$c. Furthermore, roads. Tra$c management on single roads might reason- when emissions in London are low enough to result in ably tackle the latter situation. However, a much more annual mean NO concentrations of 21 ppb, London will widespread approach will be required to tackle exceeden- represent a very large but relatively dilute source of NOV ces over larger areas. emissions, thus increasing the availability of O to con- The application of the technique suggests that the vert NO to NO. The empirical model therefore appears NOV concentration required to meet 21 ppb NO di!ers to implicitly take account of factors that can be di$cult depending on the location in London: central London to model in a deterministic way. For example, a traject- areas require much larger NOV reductions than outer ory model would have to ensure the correct amount of and inner London locations. This situation is not simply mixing over a large and complex urban area and also a feature of the fact that central London has the highest represent the chemistry correctly. Such approaches can concentrations, but more a feature of NO vs. NOV be limited by the availability of suitable initial model chemistry. The predictions show for example, that to conditions, require the detailed parameterisation of the achieve the objective in central London lower NOV con- key processes and hence are computationally expensive. centrations (as low as 29.6 ppb) will be required com- The NO to NOV ratio when the concentration of NO pared with outer London. We interpret this "nding as reaches 21 ppb is approximately 75%, which is similar to re#ecting the unique location of these sites in the middle the ratio of annual mean NO to NOV in rural locations of a very large conurbation. Trajectories arriving at these in southeast England today. locations always have to travel over areas of NOV emis- The approaches employed here are attractive from the sions, regardless of their origin. An air parcel arriving at point of view of simplicity and can make use of ambient 1514 D.C. Carslaw et al. / Atmospheric Environment 35 (2001) 1505}1515 data, which are often only compared with air pollution concentrations across London in 2005. These results guidelines and standards. However there are limitations highlight the challenge faced by policy makers in devel- to these techniques, including the assumption that every oping strategies to reduce emissions of NOV in a very hour of NOV is changed by the same proportion when large and complex urban area. generating the additional points. It could not therefore take account of more complex NOV reduction strategies. Nevertheless, in a large urban area such as London Acknowledgements where the concentrations of NOV are dominated by road tra$c, reasonably uniform reductions in NOV can be This work was funded by the Government O$ce for expected, as the reduction in emissions are dominated by London. We would also like to thank Dr. Dick Derwent national strategies to reduce emissions. This analysis is at the UK Meteorological O$ce for his useful dis- speci"c to a particular monitoring site and it can be cussions with us and, the two anonymous reviewers of di$cult to extrapolate the results to other locations. this paper for their helpful comments. However, the representativeness issue can be tackled by taking account of many monitoring sites in di!erent NOV environments. As the availability of sites increases, better and more representative models can be built. References The techniques described in this paper do not cur- rently take account of any future changes in atmospheric Bower, J.S., Broughton, G.F.J., Stedman, J.R., Williams, M.L., conditions that might lead to di!erent conversion rates 1994. A winter smog episode in the UK. Atmospheric Envir- onment 28, 461}475. between NO and NO . There is some evidence that there  Broughton, G.F.J., Bower, J.S., Willis, P.G., Clark, H., 1997. Air has been an upward trend in mean O concentrations Pollution in the UK: 1995. AEA Technology, National En- over the past decade (PORG, 1997; Collins et al., 2000). vironmental Technology Centre, ISBN 0-7058-1724-5. Derwent (1999) has explored the implications of increases Broughton, G.F.J., Bower, J.S., Clark, H., Willis, P.G., 1998. in tropospheric O on the annual mean concentration of Air Pollution in the UK: 1996. AEA Technology, NO in London, by testing the implications of a 10 ppb National Environmental Technology Centre, ISBN 0-7058- increase in O for every hour of the year on annual mean 1756-3. Buckingham, C., Clewley, L., Hutchinson, D., Sadler, L., Shah, NO concentrations. Modelling results for a transect across central London showed that a 10 ppb increase in S., 1997. London Atmospheric Emissions Inventory, London O would result in a 7 ppb increase in annual mean NO Research Centre.   Collins, W.J., Stevenson, D.S., Johnson, C.E., Derwent, R.G., (Derwent, 1999). Although the assumption of a signi"- 2000. The European regional ozone distribution and its links cant increase in O concentrations for every hour of the with the global scale for the years 1992 to 2015. Atmospheric year is unrealistic, the analysis does highlight that esti- Environment 34, 255}267. mates of annual mean NO made in this paper are Derwent, R.G., Middleton, D.R., 1996. An empirical function for potentially underestimated. the ratio NO :NOV. Clean Air 26, No. 3/4, National Society for Clean Air, Brighton. Derwent, R.G., 1999. Oxides of nitrogen and ozone in the 7. Conclusions London Routine Column Trajectory Model. Report for the Department of Environment, Transport and the Regions, Con- A technique has been developed for the prediction of tract No. EPG 1/3/128, The Meteorological O$ce, January. DETR, 1999a. Review of the national air quality strategy. De- annual mean NO concentrations in London using  partment of the Environment, Transport and the Regions, monitoring data. The technique relies on developing a re- The Scottish O$ce, The Welsh O$ce and The Department lationship between annual mean NOV and NO using of the Environment Northern Ireland. The Stationary O$ce, site-speci"cNO vs. NOV hourly relationships and fre- January. quency distributions. Analysis of data in London shows DETR, 1999b. The air quality strategy for England, Scotland, that the concentration of NOV that must be reached in Wales and Northern Ireland. Department of the Environ- order that the annual mean NO objective of 21 ppb is ment, Transport and the Regions, The Scottish Executive, met is lowest in central London. Concentrations as low The National Assembly for Wales and The Department of the Environment Northern Ireland. as 30 ppb NOV are predicted to be required, which is lower than that required in smaller cities or towns or Owen, B., Edmunds, H.A., Carruthers, D.J., Singles, R.J., 1999. Prediction of total oxides of nitrogen and nitrogen dioxide outer areas of London. Combined with a pollution cli- concentrations in a large urban area using a new generation mate mapping technique speci"c to urban areas, these urban scale dispersion model with integral chemistry model. predictions indicate that a signi"cant proportion of cen- Atmospheric Environment 34, 397}406. tral London will exceed the objective by the end of 2005, PORG, 1997. Ozone in the . The Fourth the date by which the objective must be met. A map has Report of the Photochemical Oxidants Review Group, been produced, which shoes the distribution of NO Department of Environment, Transport and the Regions. D.C. 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