Understanding the relative contribution of environmental and substrate controls on rice paddy methanogenesis is critical for developing mechanistic models of landscape-scale methane (CH4) flux. A diurnal pattern in observed rice paddy CH4 flux has been attributed to fluctuations in soil temperature physically driving diffusive CH4transport from the soil to atmosphere. Here we make direct landscape-scale measurements of carbon dioxide and CH4 fluxes and show that gross ecosystem photosynthesis (GEP) is the dominant cause of the diurnal pattern in CH4 flux, even after accounting for the effects of soil temperature. The time series of GEP and CH4 flux show strong spectral coherency throughout the rice growing season at the diurnal timescale, where the peak in GEP leads that of CH4 flux by 1.3 ± 0.08 hours. By applying the method of conditional Granger causality in the spectral domain, we demonstrated that the diurnal pattern in CH4 flux is primarily caused by GEP.
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 Rice is the dominant staple food crop for over 5 billion people worldwide [Hossain and Narcisco, 2005] and contributes 11% of annual global methane (CH4) emissions [Smith et al., 2007]. Constraining carbon turnover times in rice paddy agroecosystems is particularly important for improving mechanistic predictions of CH4 flux magnitude and timing. A diurnal pattern in CH4 emissions from rice paddies has previously been attributed to daily fluctuations in temperature physically driving diffusive CH4 transport [Denier van der Gon and van Breemen, 1993; Hosono and Nouchi, 1997; Schütz et al., 1989]. Methanogens in rice paddy soils only produce CH4 in reduced soil conditions [Conrad, 2007], and as a result many models treat CH4 flux as a function of temperature and redox potential [Li, 2000].
 While there is a clear link between plant productivity and CH4flux at the plant and plot scale, the mechanisms controlling short-term CH4 flux in the field remain unclear based on a history of CH4 fluxes measured with soil chambers. Diurnal coupling between photosynthesis and heterotrophic microbial respiration is an emergent property of many ecosystems [Kuzyakov et al., 2000; Vargas et al., 2010], although most chamber-based studies that directly measure CH4 flux are not accompanied by simultaneous measurements of photosynthesis. In this analysis, we tested the hypothesis that daily carbon substrate supply by rice photosynthesis, not soil temperature, causes the diurnal pattern in rice paddy CH4 flux by using the eddy covariance technique to measure fluxes of CO2, CH4, and evaporation [Baldocchi et al., 1988] over the course of a rice growing season.
 We examined the relative roles of gross ecosystem photosynthesis (GEP) and soil temperature in modulating the temporal spectrum of CH4flux with high frequency micrometeorological data collected continuously over the course of a growing season. We measured landscape-scale fluxes of CO2, H2O, CH4, and energy at a rice paddy located on Twitchell Island, CA, USA (latitude: 38.1087°N, longitude: 121.6530°W; elevation: 4 m below sea level) from the emergence of rice seedlings on 15 June 2011 to harvest on 15 October 2011. The water table at the field was maintained at 5 cm above the soil surface for the duration of the growing season. Winds during the study period were strong in magnitude and stable in direction where the 90% flux area footprint fell entirely within the bounds of the rice paddy. We measured soil temperature at 2 cm depth below the soil surface with three replicate copper-constantan thermocouples at a rate of 0.2 Hz, recorded as half-hourly averages. At a height of 3.05 m and a rate of 10 Hz, we measured 3-dimensional wind velocities (u, v, w) with a sonic anemometer (Gill WindMaster Pro; Gill Instruments Ltd, Lymington, Hampshire, England), CO2 and H2O density with an open-path infrared gas analyzer (LI-7500; LI-COR Biogeosciences, Lincoln NE, USA), and CH4density with a closed-path tunable diode laser CH4analyzer (FMA, Los Gatos Research, CA, USA). This sampling rate allowed for a 5 Hz cut-off for the co-spectra between the scalars (CO2, CH4, H2O) and turbulence, which was adequate for eddy covariance measurements at this site [Detto et al., 2011]. Additional micrometeorological instrumentation (air temperature, humidity, barometric pressure, incoming and net radiation, precipitation, and water table depth) is detailed by Hatala et al. .
 Using standard eddy covariance processing techniques, we analyzed fluxes of CO2, H2O, CH4, and heat after applying corrections with in-house software [Detto et al., 2010] explained in detail by Hatala et al. . Briefly, the procedure removed artificial data spikes (greater than six standard deviations from the mean) from the 10 Hz data and filtered bad readings that resulted from very infrequent fog events. For each 30-minute block of 10 Hz values, we applied a coordinate rotation to align the mean vertical and lateral wind velocities to zero and removed effects of air density fluctuations by the Webb-Pearman-Leuning correction [Detto and Katul, 2007; Webb et al., 1980]. We applied co-spectral corrections to CO2, H2O, and CH4fluxes to account for sensor separation, and additional co-spectral corrections to CH4 fluxes to correct for tube attenuation, residence time in the analyzer cell, and small changes in analyzer flow rate [Detto et al., 2011]. We filtered 30-minute flux values with anomalously high and low friction velocity (u* > 1.2 m/s and ∣uw∣ < 0.02 m/s) to constrain our analysis to periods where the air near the sensors was well-mixed. Of all possible 30-minute flux values during the growing season period in this analysis, 9% of CO2, H2O, and CH4fluxes were eliminated due to low friction velocity and an additional 10% of half-hourly CH4 fluxes were not available due to brief FMA sensor malfunction.
 We gap-filled CO2 fluxes using an artificial neural network approach standardized within the international Fluxnet project with meteorological variables driving the fitting [Papale et al., 2006]. To partition CO2 fluxes into gross ecosystem photosynthesis (GEP) and ecosystem respiration (Reco), we extrapolated nighttime CO2 flux as Recousing a short-term (2 week) 2 cm-depth soil temperature response and subtracted daytime Reco from net CO2 flux to obtain GEP [Reichstein et al., 2005]. To avoid spurious correlations between CH4flux and GEP, we did not gap-fill CH4 flux data with the artificial neural network technique, and instead replaced missing values with the median for the entire growing season. There were no gaps in the soil temperature time series for this measurement period. For spectral analysis, we standardized the CH4 flux, GEP, and soil temperature time series to have zero mean and unit variance.
2.1. Spectral Analysis Methods
 We used the continuous wavelet transform (CWT) with the Morlet mother wavelet to examine correlation between the spectra of GEP, CH4 flux, and soil temperature [Torrence and Compo, 1998]. Compared with Fourier analysis, wavelet spectral analysis is a more powerful tool for analyzing geophysical time series with nonstationarity, including trace-gas flux data measured by eddy covariance [Katul et al., 2001; Vargas et al., 2010]. The wavelet coherence spectrum is interpreted as the local correlation between two variables in frequency-time space where high coherence indicates phase-locked behavior between the two time series [Grinsted et al., 2004]. We tested the statistical significance of wavelet power against the null hypothesis of a red noise first order autoregressive process with lag-1 autocorrelation [Grinsted et al., 2004]. For time periods with significant wavelet coherence, we used the phase angle to calculate the time lag between the correlated oscillations of the two series.
 We used the method of Granger causality to determine whether the patterns of wavelet coherence between the time series of GEP and temperature and CH4 flux represented causal relationships. Granger causality is a method whereby a time series of one variable is determined to cause a second time series if it can successfully be used to predict the response of the second lagged time series [Granger, 1988], and here we applied the principles of conditional Granger causality to the nonparametric spectral domain [Chen et al., 2006; Dhamala et al., 2008] (auxiliary material). We tested the significance of nonparametric Granger causality against the null hypothesis that no direct interaction exists by the iterative amplitude adjusted Fourier transform, which preserves the power spectrum and distribution of the original time series but eliminates the correlation structure [Molini et al., 2010]. We tested the hypothesis that the periodic signal of GEP caused a periodic response in CH4 flux after we conditioned the response for the effect of soil temperature on CH4 flux. Support for this hypothesis indicates that GEP modulates CH4 flux at the time lags indicated by the spectral analysis.
3. Results and Discussion
 GEP, CH4 flux, and soil temperature all demonstrated a strong diurnal pattern for the duration of the growing season, where the daily peak in GEP leads that of CH4 flux and soil temperature (Figures 1a–1c). The mean growing season peak in GEP occurred in late morning at 11:00 hours, the mean peak in soil temperature occurred in late afternoon at 16:30 hours, and the mean peak in CH4flux occurred in mid-afternoon at 14:30 hours. If either GEP or soil temperature are driving the diurnal pattern in CH4 flux, we would predict that the diurnal peak of GEP or soil temperature would temporally lead the peak in CH4 flux. However, this is not the case, as GEP leads CH4flux, but the peak in soil temperature lags both of these variables. All variables also demonstrate coherent seasonal trends, where GEP peaks mid-season, CH4 flux increases and soil temperature at 2 cm depth decreases throughout the season (Figures 1d–1f). The contrary seasonal pattern of decreasing soil temperature but increasing CH4 flux provides further evidence that soil temperature might not be driving CH4 flux. The application of a general herbicide for weed control in the field at day of year 179 caused a sharp decline in GEP (Figure 1e) with a concomitant decrease in CH4 flux (Figure 1d), also providing qualitative mechanistic insight regarding the strong control of GEP on CH4 emission.
 We examined the wavelet coherence spectra [Grinsted et al., 2004; Torrence and Compo, 1998] to determine the dominant timescales and strength of coupling between CH4 flux and GEP and soil temperature. GEP and CH4 flux are strongly coherent throughout the growing season at the daily timescale, where the mean lag time with 95% confidence interval is 1.3 ± 0.08 hours (0.350 ± 0.021 radians) (Figure 2a). The soil temperature and CH4 flux time series are also significantly coherent at the daily period (Figure 2b), however soil temperature lags CH4flux by 5.5 ± 0.1 hours (−1.47 ± 0.030 radians). The soil temperature-CH4 flux wavelet coherence is also significantly coherent at the weekly time period (Figure 2b), and the mean time lag here is 14 ± 1.8 hours (0.52 ± 0.079 radians). Although both GEP and soil temperature are correlated with CH4 flux at multiple timescales, strong coherencies occur at the daily timescale that are maintained for the duration of the growing season. Soil temperature is also highly correlated with CH4 flux at the weekly period, which might indicate a relationship where soil temperature drives kinetic rate changes in CH4 flux on longer timescales.
 From the spectral Granger causality analysis, we found strong support for the hypothesis that GEP modulates CH4flux at the daily timescale. The GEP-CH4 flux Granger causality spectrum (Figure 3a) shows strong power at the daily timescale as well as at the harmonic 12-hour timescale after accounting for the effects of soil temperature on CH4flux. The spectrum of GEP-induced CH4 flux demonstrates that carbon cycling between plants and methanogens occurs rapidly with a coherent temporal pattern that is maintained for the duration of the growing season. We also tested the alternative hypothesis that soil temperature causes a diurnal pattern in CH4 flux, and conditioned this relationship on GEP. Soil temperature modulates CH4flux over a longer five-day timescale and demonstrates a much weaker daily signal than that of GEP-induced CH4 flux (Figure 3b). Since a few observations have suggested that stomatal conductance might drive CH4 flux [Chanton et al., 1997], we tested but did not find strong support for this other alternate mechanism (auxiliary material).
 Understanding the temporal lags of carbon turnover from plants to methanogens is essential for scaling methanogenesis to ecosystem-level CH4 flux. Our analysis concludes that in rice, CH4flux rapidly response to GEP in a coherent pattern for the duration of the growing season. Although this analysis is conducted in a spatially homogeneous rice paddy, it may yield insight into the high-frequency mechanisms that contribute to variability in CH4flux measurements at spatially heterogeneous sites. For example, if photosynthetic rates vary across the landscape and high-frequency CH4 flux is driven by GEP, accurately measuring and modeling photosynthesis might help explain at least some of the heterogeneity in CH4flux. The diurnal pattern of GEP-regulated CH4 fluxes also has direct implications for the daily and seasonal extrapolation of studies that measure only daytime CH4 flux, due to an inability to account for diurnal variation in CH4 flux due to changes in GEP. Furthermore, the strong connection between GEP and CH4flux found in this study highlights a possible trade-off in using flooded ecosystems for carbon capture and sequestration, a subject of research that warrants further study at other sites. This analysis re-examines assumptions about the importance of biotic and abiotic factors in regulating landscape-scale CH4 flux on the timescale of hours to days, and concludes that gross ecosystem photosynthesis is the primary cause of the diurnal pattern in rice paddy CH4 flux.
 The authors thank the California Department of Water Resources for access to the field site and Joseph Verfaillie for organizing instrumentation and data collection. J.A.H. was funded by the National Science Foundation Graduate Research Fellowship. This research was supported by National Science Foundation ATM grant AGS-0628720 and the California Department of Water Resources grant 006550.
 The Editor thanks an anonymous reviewer for their assistance in evaluating this paper.