Nitrous oxide (N2O) is a greenhouse gas with a large global warming potential and is a major cause of stratospheric ozone depletion. Croplands are the dominant source of N2O, but mitigation strategies have been limited by the large uncertainties in both direct and indirect emission factors (EFs) implemented in “bottom-up” emission inventories. The Intergovernmental Panel on Climate Change (IPCC) recommends EFs ranging from 0.75% to 2% of the anthropogenic nitrogen (N) input for the various N2O pathways in croplands. Consideration of the global N budget yields a much higher EF ranging between 3.8% and 5.1% of the anthropogenic N input. Here we use 2 years of hourly high-precision N2O concentration measurements on a very tall tower to evaluate the IPCC bottom-up and global “top-down” EFs for a large representative subsection of the United States Corn Belt, a vast region spanning the U.S. Midwest that is dominated by intensive N inputs to support corn cultivation. Scaling up these results indicates that agricultural sources in the Corn Belt released 420±50 Gg N (mean ±1 standard deviation; 1 Gg =109 g) in 2010, in close agreement with the top-down estimate of 350±50 Gg N and 80% larger than the bottom-up estimate based on the IPCC EFs (230 ± 180 Gg N). The large difference between the tall tower measurement and the bottom-up estimate implies the existence of N2O emission hot spots or missing sources within the landscape that are not fully accounted for in the IPCC and other bottom-up emission inventories. Reconciling these differences is an important step toward developing a practical mitigation strategy for N2O.
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 The United States Corn Belt is one of the most intensively managed agricultural regions in the world. It is a major player in terms of global food and fiber production, and recent changes in the U.S. Energy Policy Act have placed greater demands on the region for biofuel [Donner and Kucharik, 2008]. Soybean and corn are cultivated in approximately 60 million ha of the land surface—an area greater than the entire State of California. The dominant form of new nitrogen (N) entering the cropland each year is from synthetic N fertilizers (primarily urea and anhydrous ammonia), in the amount of approximately 5.0 Tg N in 2010 (1 Tg =1012 g) (Table S1, supporting information). Livestock production within the region is also significant with an estimated population of 7.4 million animals excreting 2.7 Tg N per year in the form of manure. Measured N2O emissions from the Corn Belt are large and in many cases offset gains associated with carbon sequestration [Robertson et al., 2000; Wagner-Riddle et al., 2007; Bavin et al., 2009]. Developing mitigation strategies for N2O is a critical environmental challenge as pressure mounts on our agricultural ecosystems to deliver more products to a burgeoning population and as global synthetic N production is forecasted to reach a staggering 112.9 Tg N by 2015 [Erisman et al., 2008].
 The episodic nature and high spatial variability associated with N2O emissions make them difficult to measure, model, and forecast [Wagner-Riddle et al., 2007; Smith and Dobbie, 2001; Groffman et al., 2009]. Small static chamber observations still provide the main form of flux information [Rochette and Eriksen-Hamel, 2008] and process investigation for developing emission factors (EFs) in bottom-up inventories such as the Intergovernmental Panel on Climate Change (IPCC). Emission factors are used to estimate N2O emissions from the various pathways associated with anthropogenic N inputs. The N2O emissions are estimated by multiplying the N inputs by the EFs for each pathway. The IPCC EFs range from 0.75% to 2% with uncertainties for some EFs approaching 50-fold because of a severe limitation in observational data collected at the appropriate spatial and temporal scales [De Klein et al., 2006; Outram and Hiscock, 2012]. On the other hand, consideration of the global N budget yields a much higher EF ranging between 3.8% and 5.1%, which has been shown to provide an excellent fit to the observed annual variations in global N2O concentrations since the beginning of the anthropogenic N perturbation (ca 1860) [Crutzen et al., 2008; Smith et al., 2012].
 The bottom-up methodologies have been shown to have large uncertainties (i.e., greater than 100% for agricultural emissions) [Mosier et al., 1998] and have been shown to severely underestimate N2O emissions at the regional to continental scales [Kort et al., 2008; Miller et al., 2012], raising concerns over their usefulness for forecasting N2O emissions, implementing appropriate mitigation strategies, and evaluating the effectiveness of mitigation efforts. Recently, Kort et al.  combined aircraft flask sampling and Lagrangian particle dispersion modeling to provide a top-down constraint on N2O emissions for North America. In their analyses, the aircraft flask sampling was limited to May through June, 2003. Their optimization and estimate of the surface N2O flux revealed a significant bias compared with two common bottom-up inventories (EDGAR, Emission Database for Global Atmospheric Research and GEIA, Global Emission Inventory Activity), with the inventories yielding significantly lower emission estimates by as much as threefold. Miller et al.  advanced this approach by using near-continuous hourly N2O tall tower data (recorded May–October, 2004 from outside of the Corn Belt in northern Wisconsin at the LEF tall tower) and supporting daily (once a day flask measurements in 2008) observations from four tall towers in the U.S. to provide better spatial and temporal boundary conditions for the inversion. Their analyses revealed strong seasonal and spatial patterns across the U.S. with the largest fluxes (1 to 2 nmol m−2 s−1) observed in June from the central U.S. Corn Belt. They also concluded that EDGAR and GEIA were biased low. However, we should note that Corazza et al.  found relatively good agreement between their inverse modeling and bottom-up approach for northwest and eastern Europe.
 It is acknowledged that some of the differences between the top-down and bottom-up EFs can be explained by the different bases used to calculate the total emission. In the former, the basis for the emission calculation is the total reactive N that enters the biosphere through biological N fixation (BNF) and application of synthetic fertilizer [Crutzen et al., 2008; Smith et al., 2012], estimated to be 7.8 Tg N for the Corn Belt (Figure 1). In the latter, the N pool is divided into new [BNF, fertilizer, WDD (wet and dry N deposition), and RDP (N redeposition from agricultural sources)] and recycled components (manure and biomass) in the cropland and the component that has leached out of the system. The smaller EFs are compensated somewhat by the fact that some of the N is counted multiple times at various stages of the N cycle as it moves through the system.
 To address the question of which of the two methodologies is more appropriate at the regional scale, we carried out high-precision measurements of hourly N2O mixing ratios near-continuously for 2 years (2010–2011) on a 244 m tall tower in Minnesota, USA. These measurements are combined with atmospheric boundary layer methods to derive a regional N2O flux in order to address four questions: (1) What is the N2O source strength of the Corn Belt? (2) Do state-of-the-art emission inventories and the IPCC direct and indirect N2O EFs adequately represent the sources of N2O for the region? (3) What is the regional anthropogenic EF for the U.S. Corn Belt and how does it relate to the bottom-up (IPCC) and top-down (global) perspectives? and (4) Are the differences between top-down and bottom-up approaches real and can they be reconciled?
2.1 Study Area
 The tall tower trace gas observatory (TGO, Minnesota Public Radio communications tower, KCMP) is located approximately 25 km to the south of Minneapolis-St. Paul (44°41′19″N, 93°4′22″W; 290 m ASL) at the University of Minnesota, Rosemount Research and Outreach Center (RROC). Two field-scale micrometeorological stations are also located at RROC within about 3 km of the tall tower and have been part of the AmeriFlux network since 2004 [Baker and Griffis, 2005].
 Presettlement vegetation history within the tall tower flux footprint was upland dry prairie [Marschner, 1974]. Significant production of wheat, oats, corn, and potato within the region occurred as early as 1860 according to the Minnesota State Agricultural Census Data, Dakota County Historical Society. Today, land use within the vicinity of the tall tower is dominated by agriculture. For the purpose of all tall tower flux calculations, we have filtered the data according to wind direction (accepting the wind sector from 30° to 290°) to remove the urban influence of the Minneapolis-Saint Paul metropolitan area. Based on LANDSAT TM image analysis, ground truthing, and results from the USDA-NASS Crop DATA Layer (CDL) product for 2010/2011, land use consists of approximately 24% corn, 15% soybean, 6% other crop, 17% grassland, 18% woodland, 6% wetland, 4% open water, and 10% developed land within 50 km of the tall tower.
 Here we define the Corn Belt by those states with significant corn/soybean land use. These states include: Illinois, Indiana, Iowa, Minnesota, Missouri, Ohio, South Dakota, and Wisconsin. The total area is estimated at 148 million ha. Overall, agriculture represents approximately 40% of the land use—similar to that in the vicinity of the tall tower.
2.2 Tall Tower N2O Measurements
 Tall tower N2O and CO2 mixing ratios were measured simultaneously using a tunable diode laser technique (TGA100A, Campbell Scientific Inc., Logan, Utah, USA). The TDL was operated in dual-ramp mode with N2O and CO2 measured at wave numbers 2243.760 and 2243.585, respectively. The TDL was housed at the base of the tall tower in a temperature-controlled building. Calibrations were performed hourly using a zero and span gas for N2O and a zero and two-span gases for CO2. The span gases were traceable to the National Oceanic and Atmospheric Administration-Earth System Research Laboratory (NOAA-ESRL). Our NOAA-ESRL N2O gold standard (Cylinder #CA07980) concentration was 324.30 ± 0.09 ppb. The hourly TDL calibration precision was estimated using the Allan variance technique [Werle et al., 1993] and was typically 0.50 ppb and 0.1 ppm for N2O and CO2, respectively.
 Air from the tall tower was sampled from inlets at approximately 32, 56, 100, and 185 m. Air was pulled continuously through each of the inlets to the base of the tower and then subsampled at three SLPM using a custom designed manifold. The air sampling and calibration consisted of the following sampling sequence where each inlet was sampled for 15 s: ultra zero air; CO2 span 1; N2O span; CO2 span 2; 185 m inlet; 100 m inlet; 56 m inlet; and 32 m inlet. The air samples were dried prior to analysis using a Nafion dryer. All of the calibrated data were then block averaged into hourly values. Further details regarding the tall tower sampling and calibration scheme can be found in the supporting information of Griffis et al. .
2.3 Boundary Layer N2O Budgets
 To provide a top-down constraint on regional N2O emissions, we have applied three boundary layer approaches including the nocturnal boundary layer (NBL),modified Bowen ratio (MBR), and equilibrium boundary layer (EBL) techniques. Because each approach has its inherent limitations and uncertainties, we derive an ensemble estimate to arrive at a robust top-down constraint. The NBL method has been used extensively in the literature [Denmead et al., 1996; Eugster and Siegrist, 2000; Pattey et al., 2002]. The approach assumes that the stable NBL can be treated as a large virtual chamber, and the derived flux has a source footprint on the order of several tens of kilometers. The top of the virtual chamber is essentially defined by the development of a strong temperature inversion and the presence of a nocturnal jet stream, which typically develop at a height below 300 m. Our tall tower sonic anemometry data (100 and 185 m levels) show that nighttime wind speed at these heights are greater than surface values and typically peak during the night under stable conditions with values on the order of 5 m s−1. Assuming horizontal advection is negligible, the budget equation can be written as [Denmead et al., 1996],
where ρ is the molar density of dry air, dc/dt is the change in N2O mixing ratio during the night, and h is the height of the nocturnal boundary layer. Here, dc/dt is determined from linear regression during the nighttime (2000 to 0500 LST) and a 95% significance level was used to quality control dc/dt. Since the NBL depth was not measured directly, we estimated it based on the simple, but robust parameterization of Arya ,
where u∗ is friction velocity measured in the surface layer and fcis the Coriolis parameter. The calculated mean height of the NBL in 2010 and 2011 was 204 and 231 m, respectively. The NBL N2O flux data were filtered using a threshold of 3σ.
 The NBL budget estimate for CO2 was calculated using the same method for N2O and compared to eddy covariance flux measurements near the tall tower as a test of the methodology. The seasonal patterns and magnitude of the fluxes were in excellent agreement between both approaches (Figure S1, supporting information). The mean annual CO2 flux computed from the NBL and eddy covariance approach was 2.7 μmol m−2 s−1 and 3.3 μmol m−2 s−1 in 2010 and 2.7 μmol m−2 s−1 and 2.8 μmol m−2 s−1 in 2011. The differences among these estimates are well within the uncertainty of each method.
 Second, we calculated nighttime and daily (day and night) N2O fluxes using the MBR approach. In this case, CO2 was used as the tracer with the CO2 flux measured by eddy covariance within the vicinity of the tall tower [Baker and Griffis, 2005; Griffis et al., 2010] and the CO2 concentration gradients were measured simultaneously at the tall tower using the same inlets and TDL described above. In this approach we assume similarity regarding the diffusivity and transport of each scalar and assume the eddy covariance CO2 flux is representative of regional nighttime values. The N2O flux was computed from,
where Fc is the eddy CO2 flux, and dc1/dz and dc2/dz represent the vertical gradients of N2O and CO2, and were determined using linear regression. Here we used a 95% significance level to quality control the gradient estimates. The nighttime flux was determined using the same time interval as defined above.
 Finally, we used the EBL approach [Betts, 2000; Betts et al., 2004; Helliker et al., 2004; Desai et al., 2010] to estimate the N2O flux at monthly intervals. In this approach, the diurnal dynamics of the convective boundary layer and nocturnal boundary layer are ignored based on the assumption that, at longer time scales (on the order of a few days to months), the boundary layer is in statistical equilibrium and the large scale atmospheric processes dominate. This idea was first demonstrated for the surface heat and water budgets [Betts, 2000] and has been used increasingly for quantifying regional scale CO2 fluxes [Betts et al., 2004; Helliker et al., 2004; Desai et al., 2010]. The derived flux has a source footprint on the order of several hundreds of kilometers. Here we applied the same approach to N2O where over the long term, the surface flux is in steady state with the troposphere exchange. We estimated the monthly N2O emission from,
where FEBL is the surface flux, S represents the subsidence of air from the free troposphere into the boundary layer (units of mol m−2 s−1 and positive toward the surface), Ct and Cm represent the mixing ratios of N2O in the free atmosphere and mixed layer, respectively. Here we ignore horizontal advection, which has been shown to be negligible over these long averaging periods [Williams et al., 2011]. Despite the simplicity of this approach, the variables S and Ct are challenging to quantify on a near-continuous basis. Here we have used the North American Regional Reanalysis data sets (http:esrl.noaa.gov) and background N2O concentration measurements made from North American NOAA Cooperative Global Air Sampling Network stations-Niwot Ridge and Mauna Loa. In our analysis we determined the vertical subsidence at the 700 hPa pressure level. We have determined all of the variables in equation (4) using mean monthly values. However, given the noise in S, we have estimated it based on the ensemble of 5 years (2007 to 2011).
2.4 Source Footprint Within the Corn Belt
 While it would be ideal to have multiple tall towers with high frequency N2O measurements within the Corn Belt, we are limited to extrapolating the measurements from TGO/KCMP to the region. The source footprints of the NBL, MBR, and EBL methods are expected to range from about 10 to 100 km. Our data and analyses, therefore, are representative of a relatively broad portion of the northern U.S. Corn Belt. Based on LANDSAT TM image analysis, ground truthing, and results from the USDA-NASS Crop DATA Layer (CDL) product for 2010/2011, land use statistics are consistent at spatial scales extending out to about 150 km from the tall tower [Griffis et al., 2010; Zhang et al., 2013]. A detailed nitrogen survey conducted for Minnesota [Beirman et al., 2012] found that the typical N application rate for corn in Minnesota was 157 kg N ha−1 (range of 145 to 164 kg ha−1) and was in excellent agreement with the average N application rate (143 kg N ha−1) used across the Corn Belt (see supporting information). Estimates of corn yield for Minnesota (156 bushels per acre in 2011) are also within 6% of the U.S. Corn Belt average of 147 bushels per acre [USDA-NASS, 2013]. There is also strong coherence in the behavior of hourly CO2 mixing ratios among nine tall towers located in the Upper Midwest Corn Belt [Miles et al., 2012]. The large draw-down in growing season daytime CO2 among these sites supports the assumption that the Minnesota tall tower is representative of this agricultural landscape. Finally, based on the Stochastic Time-Inverted Lagrangian Transport (STILT) model [Lin et al., 2003], we estimated the peak sensitivity of the NBL concentration footprint (185 m level) to be approximately 120 km for a typical night (Figure S2, supporting information).
2.5 Global N2O Data Sets
 Hourly N2O concentration data from NOAA-ESRL Cooperative Global Air Sampling Network stations (background sites) were used to support our investigation (www.esrl.NOAA.gov/gmd/). These stations included Niwot Ridge, Colorado, USA, and Mauna Loa, Hawaii, USA, Barrow, Alaska, USA, Summit Greenland, and the South Pole. These data have a reported concentration precision of 0.3 to 0.6 ppb. Note that all of the N2O concentration and flux data (tall tower, chamber, and background sites) reported in this study are traceable to the NOAA-ESRL scale.
2.6 Wavelet Analysis
 The tall tower and global N2O concentration data were analyzed using wavelet decomposition in order to better understand the hourly variations and to extract longer-term (seasonal) variations from each of the data sets. We used the traditional and relatively simple Haar wavelet to decompose the original N2O signals into their approximate and detailed components/coefficients using a five-level decomposition. All analyses were conducted using the MATLAB Wavelet Toolbox (MATLAB V7.5, The Mathworks Inc., MA, USA).
2.7 Chamber Measurements
 We used a flow-through non-steady state chamber system coupled to a second TDL system to measure soil N2O fluxes during 2010 and 2011. Technical details of the chamber system have been reported in previous papers [Fassbinder et al., 2012; Fassbinder et al., 2013]. Here we note that in 2010, three chambers were placed within a small experimental corn plot (20 m × 20 m) established within a large 40 ha soybean field. Three other chambers were placed within the soybean field. In 2011, all six chambers were placed within a corn field. Fluxes from each chamber were determined using a measurement period of 15 min and each chamber was sampled every 90 min. In spring 2012 we used a modified chamber system to measure N2O fluxes from drainage ditches and shallow open water sources connected to agricultural activity. Further, we have examined chamber measurements conducted by other researchers within the Corn Belt to determine typical N2O emissions from agricultural lands and associated water pathways.
2.8 Bottom-up N2O Emission Estimates
 The IPCC EF formulae and emission guidelines [De Klein et al., 2006] were applied to the Corn Belt using best estimates of the key N inputs (Table S1, supporting information). The IPCC methodology defines anthropogenic “direct” N2O emissions from soils where N has been added in the form of synthetic/organic fertilizer, crop residue, and sewage sludge, or where soil N mineralization has changed as a consequence of land use activity. The “indirect” emission of N2O is related to volatization products (NH3, and NOx) that are deposited back to the soil and thereby contribute to N2O emissions. Indirect sources include leaching and runoff of N from fertilizer, manure, and residue, which leads to N2O emission at significant distances from its origin.
 We have estimated the indirect N2O emissions as follows: First, we represent the volatization indirect pathway based on wet and dry N deposition into the region and also consider the redeposition of local N. Second, we have applied the IPCC equation 11.10 to estimate N2O emissions associated with leaching and runoff. The IPCC direct EFs used in this study include the following: For fertilizer additions (synthetic/organic), the recommended factor is 0.01 with an uncertainty range of 0.003 to 0.03. For manure application (including cattle, swine, horses, sheep, chickens) the recommended factor is 0.02 (0.007 to 0.06). The IPCC indirect EFs are as follows: For N2O emissions associated with volatization, the EF is 0.01 (0.002 to 0.05). For leaching and runoff in nonarid regions the leaching/runoff scaling factor is 0.3 (0.1 to 0.8) and the EF is 0.0075 (0.0005 to 0.025).
 To estimate the uncertainty associated with our IPCC bottom-up emission estimate, we conducted a Monte Carlo simulation. In this simulation we assumed a normal probability distribution for each EF using the uncertainty ranges provided above. The uncertainty in the bottom-up emission estimate was then determined as one standard deviation from a sample population of 10,000 simulations. For comparison, we also used two emission databases (EDGAR, version V4.2; GEIA) to estimate anthropogenic emissions of N2O for the region [http://edgar.jrc.ec.europa.eu, 2011; Bouwman et al., 1995]. As shown below, excellent agreement was observed between EDGAR and our IPCC estimates, with both significantly higher than GEIA.
3 Results and Discussion
3.1 Spatio-Temporal Variations in N2O Concentrations
 For context, we begin our analysis with a discussion of the recent N2O data from the NOAA Cooperative Global Air Sampling Network. These data are representative of background sites with no direct influence of agriculture. The mean annual N2O concentrations measured at Niwot Ridge, Mauna Loa, Barrow Alaska, American Samoa, Summit Greenland, and the South Pole were 324.50 ± 0.77, 324.69 ± 0.67, 324.71 ± 0.79, 324.11 ± 0.78, 324.38 ± 0.83, and 323.49 ± 0.72 ppb, respectively, in 2011 (see Figure 2 for a subsample of the time series data). Barrow Alaska and Mauna Loa exhibited the highest mean annual concentrations from 2010 to 2012. The standard deviations of these hourly values indicate that hour-to-hour fluctuations are relatively small, with maximum variations on the order of 2 to 4 ppb.
 The wavelet decomposition (Figure S3) shows that there is very little seasonal variation observed at any of these background sites, but rather a slow and steady increase is apparent at most sites. For instance, N2O concentration increased by about 0.27%, 0.31%, 0.26%, and 0.39% at Mauna Loa, Niwot Ridge, South Pole, and American Samoa sites, respectively, during 2011. An interesting feature at each of these sites is a rather flat response in the signal from DOY 1 through DOY 150, after which an increasing trend is observed. Using wavelet signal detection, we find that there is no significant influence of spring snowmelt or increasing spring temperatures on the episodic behavior of N2O concentration nor is there a significant seasonal pattern at any of these background sites, including those located in northern terrestrial environments (Niwot Ridge and Barrow Alaska).
 The tall tower hourly N2O concentrations measured at 100 m from April 2010 to April 2012 are shown in Figure 2. The mean annual N2O concentrations were 327.32 and 327.75 ppb, respectively. The difference between these 2 years was within the uncertainty of the hourly precision (0.50 ppb). The tall tower concentration was 3.06 ppb more elevated than the atmospheric “background” value observed at Niwot Ridge, Colorado (Figure 2). This difference is 2.6 times the gradient between the two hemispheres, indicating that the Corn Belt is a strong source of N2O and relevant at the global scale.
 The tall tower N2O data also reveal strong episodic features and seasonal variations not observed at the background sites (Figures 2 and S3). The wavelet decomposition clearly shows a strong increase in N2O concentration near the timing of spring warming/snowmelt (DOY 74, 2011). N2O emissions during snowmelt or during freeze/thaw cycles have been reported to be significant, and it has been suggested that these events may account for up to 70% of the annual N2O budget [Wagner-Riddle and Thurtell, 1998; Rover et al., 1998]. These events are usually characterized by a large flush of N2O when soil temperatures are near 0°C [Chen et al., 1995], but subside as soil temperatures rise above 2°C. This correlates with high N2 emission rates, which is likely due to increasing activity of N2O reductase [Muller et al., 2003]. Further, the magnitude of the flush is related to the length of the frozen period, which is quite long (often > 4 months) in southeastern Minnesota. We also observed a substantial increase in N2O concentration during early spring 2012 (data not shown) in the absence of any significant regional snow cover from the previous winter. This was correlated with the extreme warm temperature anomaly of March 2012, with mean air temperatures 8.7°C higher than the recent 30 year normal.
 The wavelet decomposition also reveals that the Rosemount site exhibits a strong seasonal pattern compared to the background sites. The seasonal amplitude for the near-complete 2011 data set was approximately 5 ppb. The annual ensemble diurnal amplitude (peak to peak at 100 m, data not shown) in N2O concentration was 1.2 ppb. The largest amplitudes, typically greater than 2.5 ppb, were observed from June through September, while nongrowing season values were about 1.0 ppb. These patterns suggest that N2O emissions are greatest from June through September, as described in more detail below.
 Adipic acid production from industrial processes can cause elevated N2O concentrations in urban areas as observed by Corazza et al. . However, analyses of N2O concentrations as a function of wind direction indicate that elevated N2O concentrations at the tall tower are associated with southerly winds with a source footprint dominated by agriculture. There is autocorrelation among wind direction, air temperature, and N2O concentrations at this site, however, analysis of the high temperature data (>20°C) indicate similar patterns, suggesting that the Minneapolis-Saint Paul metropolitan area has very limited influence on the N2O concentrations compared to agricultural sources (Figure S4). Nevertheless, to avoid the influence of urban N2O emissions on our tall tower boundary layer budget estimates, we have eliminated time periods when the source footprint included the metropolitan area.
3.2 Top-down Constraints on N2O Emissions
 The concentration data presented above were used with three boundary layer budget approaches to help constrain the regional N2O emissions. The NBL N2O flux shows that emissions ranged up to 2 nmol m−2 s−1 and generally peaked in June (Figure 2), corresponding to the timing of fertilizer application, warm temperatures, ample precipitation, and the emergence of agricultural crops within the region. The mean monthly NBL N2O emissions are shown in Figure S5 and indicate that the largest fluxes were observed during the growing season, which is generally consistent with our automated soil chamber measurements (Figure S6). The mean (± the standard error) annual NBL N2O fluxes were 0.34 ± 0.11 nmol m−2 s−1 and 0.39 ± 0.05 nmol m−2 s−1 in 2010 and 2011, respectively.
 The mean annual nighttime MBR N2O estimates were in good agreement with the NBL approach and ranged from 0.42 ± 0.06 to 0.30 ± 0.04 nmol m−2 s−1 in 2010 and 2011, respectively. The mean annual daily MBR N2O values ranged from 0.33 ± 0.06 to 0.29 ± 0.05 nmol m−2 s−1 in 2010 and 2011, respectively.
 The mean annual N2O flux derived from the EBL approach was 0.42 ± 0.09 and 0.36 ± 0.09 nmol m−2 s−1 in 2010 and 2011, respectively and were in good agreement with the NBL and MBR estimates. The EBL flux estimate was very similar if Niwot Ridge or Mauna Loa was used as the background (tropospheric) values. For example, the difference in mean annual flux ranged from 0.02 to 0.01 nmol m−2 s−1 for the respective years.
 Overall, the three different atmospheric boundary layer methods show similar seasonal variations with correlation coefficients ranging from 0.47 to 0.80 for each of the methods. However, there are some notable differences in the monthly values. We hypothesize that some of the variability among the methods can be attributed to the differences in their source footprints. The source footprint varies among these methods from tens to hundreds of kilometers. However, some of the variability can be attributed to the uncertainties in each approach. The 2 year annual ensemble flux for all methods gives a mean value and standard deviation of 0.35 ± 0.05 nmol m−2 s−1. We also note that the growing season tall tower flux (0.51 ± 0.20 nmol m−2 s−1) is in excellent agreement with the top-down flux (0.6 nmol m−2 s−1) derived independently from atmospheric inverse modeling for this region [Miller et al., 2012].
 Multiplying the tall tower flux by the total land area of 148 million ha gives the total annual N2O emission of 460 ± 60 Gg N for the Corn Belt. This amount is substantial, representing more than 10% of the net global N2O atmospheric sink [Hirsch et al., 2006], confirming the important role of the U.S. Corn Belt in the global N2O budget [Kort et al., 2008; Miller et al., 2012]. By subtracting the contributions from urban land and natural vegetation, based on literature values, we obtain a cropland emission of 420 ± 50 Gg N. This estimate is in good agreement with the global top-down approach proposed by Crutzen et al. . For example, given a mean top-down EF of 4.5%, we estimated an N2O emission of 350 ± 50 Gg N from the Corn Belt, with the uncertainty range corresponding to the uncertainty in the top-down EF.
3.3 Bottom-Up Constraints on N2O Emissions
 The IPCC bottom-up methodology yields a much smaller emission of 180 ± 170 Gg N. The uncertainty range here represents ± 1 standard deviation of the ensemble estimates generated by the Monte Carlo simulation with a distribution of the EFs for their ranges reported in IPCC. The IPCC accounting guideline excludes emissions from BNF [De Klein et al., 2006]. When BNF in the Corn Belt is included, to be consistent with the top-down methodology, this bottom-up estimate increases slightly to 230 ± 180 Gg N. Further, the tall tower flux density is 2.6 and 8.8 times greater than the regional fluxes derived from EDGAR and GEIA, respectively, the two inventory data sources commonly used in atmospheric models (Figure 3b).
 In order to compare with anthropogenic emission estimates, we have made two flux upscaling calculations since the tower footprint encompasses additional source categories (Figure 1). In one calculation, we first compiled the flux densities for the individual land use types according to our own measurements of soil N2O flux in corn and soybean fields within the tower footprint and the data reported in the literature for urban land, natural vegetation, and lakes (Figure 3). Next, we weighted the individual contributions by their fractional land areas. In the final step, an upward adjustment of 0.03 nmol m−2s−1 was made to account for emissions from manure, assuming uniform distribution throughout the Corn Belt. The aggregated regional flux computed from this method is 0.16 ± 0.05 nmol m−2 s−1 (Figure 3). In the second calculation, we added to the IPCC emission estimate contributions from urban land, natural vegetation, and biological N fixation, obtaining a regional flux of 0.19 ± 0.17 nmol m−2 s−1. Both of these upscaled fluxes are much lower than our observed tall tower flux or that derived from inverse modeling for the region [Kort et al., 2008; Miller et al., 2012].
3.4 Reconciling Top-Down and Bottom-Up N2O Emissions
 Although the uncertainties are relatively large in both the top-down and bottom-up N2O emission estimates, there is growing consensus from independent studies and independent approaches, that the top-down atmospheric estimates are at least twofold greater for North America and the U.S. Corn Belt [Kort et al., 2008; Miller et al., 2012]. Here we attempt to reconcile these differences and put forth a hypothesis regarding the role of N2O emission hot spots from fine-scale agricultural drainage features and their potential influence on the regional budget.
 We have more confidence in some of the IPCC EFs than in others. For example, direct emissions resulting from synthetic N fertilizer application is a major contributor to the overall emission estimate (insets to Figure 3b), and our soil chamber measurements support the validity of the IPCC EF for this source category (Figure S6). The soil N2O flux measured in our experimental corn field is about 1.3% of the N fertilizer application rate, consistent with the IPCC-recommended EF of 1% (0.3% to 3.0% range). Numerous other field observations also show similar ratios of the N2O flux to the N input [Gregorich et al., 2005; Stehfest and Bouwman, 2006; Millar et al., 2010; Cavigelli and Parkin, 2012]. Another major source category is emission from animal manure applications. The IPCC methodology assumes an EF of 2%. Although we have not measured the EF of this source category, other studies have confirmed that the IPCC EF is within 0.7% to 6% [De Klein et al., 2006]. For leaching and runoff in nonarid regions, a scaling factor of 0.3 is used to estimate the runoff N and then an EF of 0.75% is applied. Both factors have large uncertainty. The EF has an uncertainty that ranges 50-fold (0.05% to 2.5%) and is based on only 10 studies [Outram and Hiscock, 2012] with extremely limited spatial and temporal distribution. Thus, it is likely that these previous studies missed emission hot spots, as discussed below.
 The tall tower flux is also greater than any of the individual flux densities considered in Figure 3a. To bring the upscaled flux into agreement with the tall tower flux would require substantial contributions from minor land use types omitted in Figure 3a. Recent investigations have identified the importance of N2O emission associated with surface waters in agricultural land [Outram and Hiscock, 2012; Beaulieu et al., 2011]. These studies have shown that despite their limited spatial extent, they are responsible for a disproportionate amount of the indirect N2O emissions. Drainage ditches appear to be N2O emission hot spots. Emissions from drainage ditches in an agricultural catchment in England are one order of magnitude greater than its headwater streams and are responsible for nearly 90% of the total indirect emissions [Outram and Hiscock, 2012].
 The N2O emission from tile drains of a corn field near our tall tower occurred at a mean rate of 13 nmol m−2 s−1 (range 0.3–64 nmol m−2 s−1) during the early growing season, which is 40-fold greater than the flux from headwater streams in an agricultural catchment in the Corn Belt (0.35 nmol m−2 s−1) [Beaulieu et al., 2008]. The flux from lakes, which are further downstream than headwater streams, is even lower (Figure 3a), suggesting that “water age”, or the time drainage water spends in waterways after it has exited cropland soil, is a critical factor controlling in situ denitrification [Peterson et al., 2001]. If we attribute the difference between the top-down and the IPCC estimates solely to leaching and runoff, the EF for this source category would increase drastically to 4.0% from the nominal value of 0.75% and higher than any reported EF in the literature for these sources. That the bottom-up and the top-down emission estimates show reasonable agreement on the global scale [Del Grosso et al., 2008; Smith et al., 2012], but are substantially different for the Corn Belt implies compensating biases among different regions of the world.
 The Corn Belt has been subjected to intensive drainage in order to increase agricultural productivity. Best estimates indicate that 25% to 50% of the Corn Belt has been drained [USDA, 1987]. In drier climates where agricultural drainage is less prevalent, the associated indirect leakage mechanisms may be much weaker. Currently, land managers in the Corn Belt are not required to disclose how much of their land is tile drained or when new drainage ditches have been added. With increasingly high resolution LiDAR-derived elevation data (1 m), remote sensing, advances in geospatial analyses, and new low-cost N2O flux chambers [Fassbinder et al., 2013], it is becoming feasible to identify these drainage networks and quantify the associated fluxes. We postulate that an improved understanding of these fine-scale geographic sources is crucial to identifying hot spots and hot moments [Groffman et al., 2009] and resolving the lack of closure in regional N budget studies in North America [Kort et al., 2008; Miller et al., 2012].
 Hourly N2O observations made from a tall tower in the Upper Midwest United States were used to assess regional N2O fluxes and EFs within the Corn Belt from 2010 to 2011. The data and analyses support the following conclusions:
 Boundary layer budget estimates of N2O using three different techniques ranged from 0.29 to 0.42 nmol m−2 s−1 over the 2 year period. The ensemble mean flux using these methods was 0.35 ± 0.05 nmol m−2s−1.
 The boundary layer budget estimates were approximately 2.6- to 8.8-fold greater than bottom-up approaches including the IPCC, EDGAR, and GEIA approaches and supports previous conclusions based on short-term inverse modeling.
 The N2O budget estimated by applying the top-down (global) EF of 4.5% to anthropogenic nitrogen inputs was in relatively good agreement with the tall tower regional budget assessment. These analyses, in combination with chamber observations from fine-scale agricultural drainage features, suggest that indirect emissions are poorly constrained by the bottom-up approaches.
 Given the projected increase in regional nitrogen demand, our analyses support that N2O emissions from the Corn Belt are likely to increase substantially. This increase may be enhanced in the Upper Midwest where hydrometeorological conditions have become wetter and drainage and stream flow have increased over the last 50 years.
 This research was supported by the United States Department of Agriculture National Institute of Food and Agriculture (NIFA/2010-65112-20528), the Ministry of Education of China (PCSIRT) and the Viola Fund of New York. We thank Matt Erickson, Joel Fassbinder, Bill Breiter, Peter Turner, and Natalie Schultz for their help in maintaining the field measurements. We also acknowledge Minnesota Public Radio (KCMP 89.3, “The Current”) and Tom Nelson for providing logistical support for this project. Finally, we thank the Dietz Brothers climbing crew for installing and maintaining our instrumentation on the KCMP tower.