Models
We used the GFDL Forecast-oriented Low Ocean Resolution model (FLOR, Vecchi et al. 2014). The atmosphere and land components of FLOR are taken from the Coupled Model version 2.5 (CM2.5, Delworth et al. 2012) developed at GFDL, whereas the ocean and sea ice components are based on the GFDL Coupled Model version 2.1 (CM2.1, Delworth et al. 2006; Gnanadesikan et al. 2006; Wittenberg et al. 2006). FLOR has a spatial resolution of ~ 50 km in the atmosphere and land, ~ 100 km in the ocean, and 32 (50) vertical levels in the atmosphere (ocean). In this study, we used the flux-adjusted version of FLOR (Vecchi et al. 2014), in which climatological adjustments were made to the model’s momentum, enthalpy, and freshwater fluxes from the atmosphere to the ocean to bring the model’s long-term climatology of sea surface temperature (SST) and surface wind stress closer to that of observations (Magnusson et al. 2013).
FLOR is one of GFDL’s operational seasonal forecast models in the NMME (Kirtman et al. 2014) and provides routine seasonal forecasts to the public every month. It shows skillful seasonal prediction of tropical cyclone activity (Vecchi et al. 2014), near-surface temperature and precipitation over land (Jia et al. 2015) as well as extratropical storm activity (Yang et al. 2015a). The high spatial resolution of FLOR offers the potential for predicting regional hydroclimate over the WUS, particularly over regions of complex topography as it more faithfully resolves orography and precipitation extremes than lower resolution models (van der Wiel et al. 2016).
Retrospective experiments
We conducted three different sets of seasonal retrospective forecasts using FLOR; experiments are summarized in Table 1. They are used to explore various sources of prediction skill and highlight when and how initial conditions matter for improving the seasonal prediction of precipitation during the 1997/98 and 2015/16 El Niño events.
Table 1 Experiments used in this study
AMIP simulations
The first set of experiments consists of a 15-member atmosphere/land coupled AMIP simulations using FLOR’s atmosphere/land components. The model was integrated from 1982 to 2016, forced with observed time-varying sea surface temperature (SST) and radiative forcing. The SST data were taken from a merged product (Hurrell et al. 2008) based on the monthly mean Hadley Centre sea ice and SST dataset version 1 (HadISST1, Rayner et al. 2003) and version 2 of the National Oceanic and Atmospheric Administration (NOAA) optimum interpolation SST (OISST) analysis (Reynolds et al. 2002). Before 2005, the radiative forcing is an observationally based estimate of changing concentrations of greenhouse gases, aerosols, land-use changes, solar irradiance variations, and volcanic aerosols. After 2005, the radiative forcing is based on the representative concentration pathway (RCP) 4.5 scenario (Meinshausen et al. 2011). These simulations follow the AMIP’s standard protocol (http://www.pcmdi.llnl.gov/projects/amip/NEWS/overview.php). The AMIP simulations are used for assessing the response of the precipitation anomalies over the WUS to perfect SST conditions. A 3-year spin-up was performed during 1979–1981 prior to the start of the simulations (1st January 1982). The initial conditions of 15-member ensembles were generated from different days (i.e., day 1–15) in January 1979.
Retrospective seasonal forecasts
In the second set, retrospective seasonal forecasts were conducted for FLOR (called phase-1 forecasts, hereafter referred to as P1) from 1982 to 2016. The initial conditions of the ocean and ice components for FLOR forecasts were taken from the GFDLs ensemble coupled data assimilation (ECDA) system developed originally for CM2.1 (Zhang et al. 2007; Chang et al. 2013) but used now for FLOR given the common oceanic/ice model composition. The initial conditions for the atmosphere and land components were taken from the set of AMIP simulations described in Sect. 2.2.1. The radiative forcing used in P1 is identical to that in AMIP simulations. The retrospective forecasts were initialized from 1st December each year from 1982 to 2015, and integrated forward for 12 months with 12 ensemble members, however this study only focuses on the first 3 months of integration (December–February). Each ensemble member was initialized with the ocean and sea ice initial conditions from each member of CM2.1 ECDA. The atmospheric and land initial conditions were taken from three separate AMIP simulations. The first AMIP member supplied atmosphere and land initial conditions for the first four ocean/ice ensemble members, the second AMIP member supplied atmosphere and land initial conditions ocean/ice members from 5 to 8, and the third AMIP member supplied atmosphere and land initial conditions ocean/ice members from 9 to 12 (Vecchi et al. 2014).
In the third set, ensemble retrospective forecasts (called phase-2 forecasts, hereafter referred to as P2) were conducted with identical configurations as P1, except that the initial conditions of atmospheric and land components were taken from a set of simulations with the FLOR coupled model in which surface pressure, three-dimensional temperature and horizontal winds were nudged (relaxed) toward a reanalysis data set on a 6-hourly time scale. Version 1 of the Modern-Era Retrospective Analysis for Research and Applications (MERRA) reanalysis (Rienecker et al. 2011) was used. In addition, sea surface temperature (SST) was restored to time-varying observations on a 5-day time scale. The relaxation/nudging process started from 1979 to the present, and the outputs from the nudging runs were used as atmospheric and land initial conditions for P2 forecasts. The atmospheric and land initial conditions from the relaxation process are identical for all 12 members, but the ocean and sea ice initial conditions are different for each member produced by ECDA.
During the course of this study, the MERRA-2 reanalysis became available (Gelaro et al. 2017), so we repeated the same initialization experiments of P2, but using MERRA-2 data instead of MERRA. It is called P2M2 hereafter. Due to the computational resource limitation, only two hindcasts initialized on 1st December 1997 and 2015 were conducted for P2M2. MERRA-2 is an upgraded version of its predecessor MERRA, and includes updates to the Goddard Earth Observing System (GEOS) model, analysis scheme and observational data. The improvements in MERRA-2 include a better representation of the stratosphere, a reduction of some spurious trends and jumps related to changes in the observing system, and reduced biases and imbalances in aspects of the water cycle (Gelaro et al. 2017).
These prediction experiments were developed to enhance our understanding of prediction system skill using different initialization techniques and a single global climate model. The methodology presented is useful for guiding future prediction system development. To summarize: (1) the P1 methodology is used for the initial condition setup for FLOR used in the NMME (Vecchi et al. 2014; Kirtman et al. 2014). (2) P2 has been developed for research purposes to explore sources of prediction skill for various regional climate variations and extremes (Jia et al. 2016, 2017). (3) P2M2 has been developed for research purposes to understand how upgrades in reanalysis products may improve hindcasts of the two case study years. (4) P1 and P2 both use the flux-adjusted version of FLOR, and they only differ in the initial conditions of atmosphere and land components.
Observational dataset
The observationally constrained estimates of 850-hPa meridional wind, 700-hPa zonal and meridional winds, humidity, and geopotential height were obtained from the ERA-Interim reanalysis data for 1982–2016 (Dee et al. 2011). Precipitation data for 1982–2016 were obtained from PRISM (Daly et al. 2008) and the North American Land Data Assimilation System project phase 2 (NLDAS-2, Xia et al. 2012). Soil moisture content data for 1982–2016 was obtained from the Global Land Data Assimilation Systems Noah V2.7 (Rodell et al. 2004). The outgoing longwave radiation (OLR) data was obtained from NOAA/the National Centers for Environmental Prediction (Liebmann and Smith 1996).
Extratropical storm activity measurement
The extratropical storm index (ETSI) is defined as the seasonal standard deviation of filtered daily 850-hPa meridional wind (v850), and the filter is a 24-h-difference filter (Wallace et al. 1988). The ETSI can be written as follows:
$$ETSI=\sqrt {\frac{1}{{N - 1}}\mathop \sum \limits_{{t=1}}^{N} {{\left[ {v850\left( {t+24{\text{h}}} \right) - v850(t)} \right]}^2}} ,$$
(1)
where N is the sample size of the December-February (DJF) for each year and t represents a time step of 24 h. This method of measuring ETS has been widely used in the future projections of ETS (Chang 2013), the seasonal climate prediction of ETS variations (Yang et al. 2015a), and for attribution studies of the 2013/14-winter ETS extreme event over North America (Yang et al. 2015b).
Rossby wave source calculation
The Rossby wave source (S) (e.g., Sardeshmukh and Hoskins 1988) is calculated by:
$$S= - \nabla \cdot \left( {{v_\chi }\zeta } \right)= - \left( {\zeta \nabla \cdot {v_\chi }+{v_\chi } \cdot \nabla \zeta } \right),$$
(2)
where ζ is the absolute vorticity, \({v_\chi }\) is the divergent component of the horizontal winds. Following Scaife et al. (2017), the monthly data was used to calculate the Rossby wave source for observations and model simulations at the 200-hPa-pressure level. The absolute vorticity, divergence, and divergent winds were calculated using the standard scripts from the NCAR Command Language (Version 6.4.0, https://doi.org/10.5065/D6WD3XH5).