ENSO predictions and predictability 

Fig. Comparison of ensemble-mean seasonal-averaged anomaly correlation (AC) skill of NINO3.4 predictions for model-analog and numerical model hindcasts. Ensemble-mean AC skill of NINO3.4 predictions as a function of hindcast period on the horizontal axis and forecast lead time on the vertical axis. 

Diagnosing El Niño-Southern Oscillation (ENSO) predictability within operational forecast models is hindered by computational expense and the need for initialization with three-dimensional fields generated by global data assimilation. We instead examine multi-year ENSO predictability since the late 1800s using the model-analog technique, which has neither limitation. We first draw global coupled model states from pre-industrial control simulations, from the Coupled Model Intercomparison Project Phase 6, that are chosen to initially match observed monthly sea surface temperature and height anomalies in the Tropics. Their subsequent 36-month model evolution are the hindcasts, whose 20th century ENSO skill is comparable to twice-yearly hindcasts generated by a state-of-the-art European operational forecasting system. Despite the so-called spring predictability barrier, present throughout the record, there is substantial second-year ENSO skill, especially after 1960. Overall, ENSO exhibited notably high values of both amplitude and skill towards the end of the 19th century, and again in recent decades.

Dynamics and predictability of South Pacific Ocean climate varibaility

Fig. Schematic of the paradigm for South Pacific Ocean variability and predictability. The top panels are a pair of the most damped noise modes. The middle panels are the second and third modes of the monthly Z500 anomalies (NCEP-NCAR) in the Southern Hemisphere, which refer to as the PSA1 and PSA2 pattern. The left panels of the bottom layer are the leading EOF modes of the monthly SST anomalies and Vertically Averaged Temperature (VAT) anomalies in the South Pacific Ocean, respectively. The right panel of the bottom layer is the optimal precursor of the SPDO (illustrated by the green arrow). Red arrows indicate reddening processes. Blue arrows indicate coherence resonances. Grey arrows indicate the propagating features of the corresponding modes.


While Pacific climate variability is largely understood based on El Niño-Southern Oscillation (ENSO), the North Pacific focused Pacific decadal oscillation and the basin-wide interdecadal Pacific oscillation, the role of the South Pacific, including atmospheric drivers and cross-scale interactions, has received less attention. Using reanalysis data and model outputs, here we propose a paradigm for South Pacific climate variability whereby the atmospheric Pacific-South American (PSA) mode acts to excite multiscale spatiotemporal responses in the upper South Pacific Ocean. We find the second mid-troposphere PSA pattern is fundamental to stochastically generate a mid-latitude sea surface temperature quadrupole pattern that represents the optimal precursor for the predictability and evolution of both the South Pacific decadal oscillation and ENSO several seasons in advance. We find that the PSA mode is the key driver of oceanic variability in the South Pacific subtropics that generates a potentially predictable climate signal linked to the tropics.

Fig. Atmospheric forcing of the leading two SST modes in the South Pacific Ocean. The PSA1 (a) and PSA2 (b) patterns are obtained by regressing the monthly near-global Z500 anomalies (NCEP-NCAR; contour) and monthly SST anomalies (ACCESS-O; shade) onto the PSA1 and PSA2 time series,

respectively. c, d The corresponding normalized PSA1 and PSA2 time series. e, f The time series of the leading two SST modes of variability in the South Pacific Ocean (ACCESS-O; black) are reconstructed (red) using an AR1 model forced by the PSA1 and PSA2 time series. The blue curve in (e) indicates the

second integration forced by the SST SPDO time series. The units are in standard deviations (s.d.). 

By employing a first-order autoregressive model, we demonstrate that the atmospheric Pacific-South American patterns 1 and 2 (PSA1 and PSA2), defined as the second and third empirical orthogonal function (EOF) modes of the monthly 500hPa geopotential height anomalies in the Southern Hemisphere, act as stochastic drivers for the first two sea surface temperature (SST) modes. These modes are identified as the South Pacific Decadal Oscillation (SPDO) and the SST quadrupole pattern.

FIG. Cross correlations between different pairs of surface and subsurface indices of the PDO, ENSO, and SPDO. The green dashed line indicates the critical value at the 95% significance level, and each critical value has been labeled on the right. The schematic in the middle represents the meridional (zonal mean) cross section of the thermocline (e.g., approximated as the 14C isotherm) as a function

of depth and latitude.

The South Pacific decadal oscillation (SPDO) characterizes the Southern Hemisphere contribution to the Pacific-wide interdecadal Pacific oscillation (IPO) and is analogous to the Pacific decadal oscillation (PDO) centered in the North Pacific. In this study, upper ocean variability and potential predictability of the SPDO is examined in HadISST data and an atmosphere-forced ocean general circulation model. The potential predictability of the IPO-related variability is investigated in terms of both the fractional contribution made by the decadal component in the South, tropical and North Pacific Oceans and in terms of a doubly integrated first-order autoregressive (AR1) model. Despite explaining a smaller fraction of the total variance, we find larger potential predictability of the SPDO relative to the PDO. We identify distinct local drivers in the western subtropical South Pacific, where nonlinear baroclinic Rossby wave–topographic interactions act to low-pass filter decadal variability. In particular, we show that the Kermadec Ridge in the southwest Pacific enhances the decadal signature more prominently than anywhere else in the Pacific basin. Applying the doubly integrated AR1 model, we demonstrate that variability associated with the Pacific–South American pattern is a critically important atmospheric driver of the SPDO via a reddening process analogous to the relationship between the Aleutian low and PDO in the North Pacific—albeit that the relationship in the South Pacific appears to be even stronger. Our results point to the largely unrecognized importance of South Pacific processes as a key source of decadal variability and predictability.

Fig. The correlation skill of the (left) SPDO and (right) ENSO. The horizontal green line indicates the critical r values for the SPDO and ENSO (at the 95% significance level), considering the serial correlation according to Davis (1976).

A multivariate linear inverse model (LIM) is developed to demonstrate the mechanisms and seasonal predictability of the dominant modes of variability from the tropical and South Pacific Oceans. We construct a LIM whose covariance matrix is a combination of principal components derived from tropical and extratropical sea surface temperature, and South Pacific Ocean vertically averaged temperature anomalies. Eigen-decomposition of the linear deterministic system yields stationary and/or propagating eigenmodes, of which the least damped modes resemble El Niño–Southern Oscillation (ENSO) and the South Pacific decadal oscillation (SPDO). We show that although the oscillatory periods of ENSO and SPDO are distinct, they have very close damping time scales, indicating that the predictive skill of the surface ENSO and SPDO is comparable. The most damped noise modes occur in the midlatitude South Pacific Ocean, reflecting atmospheric eastward-propagating Rossby wave train variability. We argue that these ocean wave trains occur due to the high-frequency atmospheric variability of the Pacific–South American pattern imprinting onto the surface ocean. The ENSO spring predictability barrier is apparent in LIM predictions initialized in March–May (MAM) but displays a significant correlation skill of up to ~3 months. For the SPDO, the predictability barrier tends to appear in June–September (JAS), indicating remote but delayed influences from the tropics. We demonstrate that subsurface processes in the South Pacific Ocean are the main source of decadal variability and further that by characterizing the upper ocean temperature contribution in the LIM, the seasonal predictability of both ENSO and the SPDO variability is increased.

Fig: The atmospheric Pacific South American pattern 1 (PSA1) contribution to the stochastic SST forcing based on a linear inverse model scheme.

A stochastically forced linear inverse model (LIM) of the combined modes of variability from the tropical and South Pacific Oceans is used to investigate the linear growth of optimal initial perturbations and to identify the spatiotemporal features of the stochastic forcing associated with the atmospheric Pacific–South American patterns 1 and 2 (PSA1 and PSA2). Optimal initial perturbations are shown to project onto El Niño–Southern Oscillation (ENSO) and South Pacific decadal oscillation (SPDO), where the inclusion of subsurface South Pacific Ocean temperature variability significantly increases the multiyear linear predictability of the deterministic system. We show that the optimal extratropical sea surface temperature (SST) precursor is associated with the South Pacific meridional mode, which takes from 7 to 9 months to linearly evolve into the final ENSO and SPDO peaks in both the observations and as simulated in an atmosphere-forced ocean model. The optimal subsurface precursor resembles its peak phase, but with a weak amplitude, representing oceanic Rossby waves in the extratropical South Pacific. The stochastic forcing is estimated as the residual by removing the deterministic dynamics from the actual tendency under a centered difference approximation. The resulting stochastic forcing time series satisfies the Gaussian white noise assumption of the LIM. We show that the PSA-like variability is strongly associated with stochastic SST forcing in the tropical and South Pacific Oceans and contributes not only to excite the optimal initial perturbations associated with ENSO and the SPDO but in general to activate the entire stochastic SST forcing, especially in austral summer.