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Article

Improving Predictions of Tibetan Plateau Summer Precipitation Using a Sea Surface Temperature Analog-Based Correction Method

1
State Key Laboratory of Severe Weather, Institute of Tibetan Plateau Meteorology, Chinese Academy of Meteorological Sciences, Beijing 100081, China
2
Collaborative Innovation Center on Forecast and Evaluation of Meteorological Disasters (CIC-FEMD), Nanjing University of Information Science and Technology, Nanjing 210044, China
3
Ensemble Forecasting Division, CMA Earth System Modeling and Prediction Center (CEMC), Beijing 100081, China
4
State Key Laboratory of Severe Weather, Key Laboratory of Atmospheric Chemistry of CMA, Chinese Academy of Meteorological Sciences, Beijing 100081, China
5
Institute of Artificial Intelligence for Meteorological, Chinese Academy of Meteorological Sciences, Beijing 100081, China
*
Author to whom correspondence should be addressed.
Remote Sens. 2023, 15(24), 5669; https://doi.org/10.3390/rs15245669
Submission received: 16 October 2023 / Revised: 27 November 2023 / Accepted: 6 December 2023 / Published: 8 December 2023

Abstract

:
Boreal summer precipitation over the Tibetan Plateau (TP) is difficult to predict in current climate models and has become a challenging issue. To address this issue, a new analog-based correction method has been developed. Our analysis reveals a substantial correlation between the prediction errors of TP summer precipitation (TPSP) and previous February anomalies of sea surface temperature (SST) in the key regions of tropical oceans. Consequently, these SST anomalies can be selected as effective predictors for correcting prediction errors. With remote-sensing-based and observational datasets employed as benchmarks, the new method was validated using the rolling-independent validation method for the period 1992–2018. The results clearly demonstrate that the new SST analog-based correction method of dynamical models can evidently improve prediction skills of summer precipitation in most TP regions. In comparison to the original model predictions, the method exhibits higher skills in terms of temporal and spatial skill scores. This study offers a valuable tool for effectively improving the TPSP prediction in dynamical models.

Graphical Abstract

1. Introduction

The Tibetan Plateau (TP), often referred to as the “Third Pole” and the “Roof of the World” [1,2], is characterized by its high altitude, diverse topography, and unique climatic conditions. As one of the least affected areas by human activities, the TP possesses fragile vegetation displaying a high sensitivity to global warming [3], where precipitation is of greater significance than temperature throughout its diverse ecosystems [4]. The TP is also known as the “Asian Water Tower”, as it serves as the source of major river systems, including the Yellow River, Yangtze, Indus, and Ganges. It plays an indispensable role in providing water resources and ensuring ecosystem security for the surrounding regions [5]. As a substantial heat source, it also has an effect on the formation of summer circulation [6,7,8]. The variations in TP precipitation, coupled with the release of substantial latent heat, have significant effects not only on river discharge, glacier mass balance, and human water supply [9,10,11] but also exert further influence on our climate regionally and even globally [12,13,14]. Therefore, enhancing the predictive capability of climate models in predicting TPSP is crucial for research and operation.
Seasonal precipitation prediction in the TP is influenced by various factors. Substantial advancement has been achieved in understanding the variability of TPSP and the potential impact factors underlying its influence. Via exciting atmospheric teleconnection, tropical sea surface temperature anomalies (SSTAs) have the potential to exert an effect on the TPSP [15,16,17,18,19]. El Niño–Southern Oscillation (ENSO), as the main driver of inter-annual climate variability, typically has indirect and modulated impacts on TPSP under different phases and types of ENSO [16,18,19,20]. In the positive phase of the Indian Ocean basin mode (IOBM), characterized by uniform warming of SST over the basin, the land–sea thermal contrast between the Eurasian continent and the Indian Ocean weakens. As a result of this weakening impact, precipitation over the TP decreases in early summer [21,22]. Some other climate modes, like the North Atlantic Oscillation (NAO) and Arctic Oscillation (AO), also provide certain predictability sources for the TPSP [23,24,25].
Although climate models have emerged as powerful tools for operational prediction, their useful predictions with accepted skills are mainly located in the tropics. In contrast, the climate prediction skill for extratropics is relatively limited, except for places with predictability originating from the tropics [26,27]. Among meteorological variables, precipitation usually has limited applicability of prediction. The TP region, with its unique geographical characteristics, presents quite large challenges for climate prediction. Encouragingly, significant advancements in model resolution, physics parameterizations, and dynamic core studies [28,29,30,31,32] have greatly reduced model biases associated with TP precipitation. Nevertheless, the current operational prediction skill for the TP precipitation still falls far from the expected level. For example, Wang et al. (2022) demonstrated that climate models still exhibit limited skill in seasonal to inter-annual prediction for the TPSP, especially across the central–eastern TP [33]. Thus, improvements are urgently needed.
A generally effective approach to enhancing the low prediction skill is a Multi-Model Ensemble (MME). It has been extensively employed in some international projects such as the “DEMETER” [34] and “ENSEMBLES” [35] for seasonal to inter-annual prediction. Notably, some famous institutions like the National Center for Environmental Prediction (NCEP), APEC Climate Center (APCC), International Research Institute for Climate and Society (IRI), and the European Centre for Medium-Range Weather Forecasts (ECMWF) currently provide seasonal prediction products on the basis of the MME approach. For instance, the North American MME (NMME) was developed to provide abundant information to improve intra-seasonal to inter-annual prediction around the world [36,37,38,39]. The China MME (CMME) project has been built to supply multi-element predictions since 2018 [40].
On the other hand, various statistical or empirical correction methods have been developed in the past decades, aiming to improve model predictions [41,42,43,44,45,46,47,48,49,50,51]. Model prediction errors are flow-dependent, which can vary with changing climate states, and they have been found to be correlated to physical predictors [52]. In the case of linear systems, the development of statistical models that utilize historical data to correct model errors has proven effective in improving predictions. Commonly used correction methods include mean bias correction [47,53], regression analysis [54,55], coupled field techniques [46,56], and the inter-annual increment method [57,58,59]. For nonlinear systems, however, simply having a large amount of data is not sufficient, as more data relevance is required. As an alternative, analog states from historical data with properties identical to the current state can be considered. These analog states are available for estimation and subsequent correction of state-dependent errors. Ren and Chou hypothesized that there is a certain degree of similarity between flow-dependent errors arising from similar initial climate states [60]. Based on this hypothesis, the analog-based correction (ABC) of errors dynamical-statistical prediction method was developed and applied using dynamical models and historical data [59,60,61,62]. Ren et al. [63] and Liu and Ren [64] successfully employed the ABC method for significantly improving the ENSO prediction. These have provided a valuable perspective to deal with the issues of predicting TPSP by employing the framework of ABC.
In this study, to utilize the advantages of the ABC method, we aim to develop a novel scheme focused on improving the prediction of the TPSP. Section 2 describes the methods and data employed in this investigation. Section 3 gives the results. A brief discussion is provided in Section 4. Section 5 summarizes the major findings.

2. Data and Method

2.1. Model Datasets

The NMME comprises climate models from multiple institutions. Table 1 provides a concise description of each model selected for this research. The first column of the table indicates the institution responsible for each model and its name. Since its establishment in 2011, the NMME has been offering monthly real-time forecasts. It also offers retrospective forecasts dating back to 1982 [36,65,66]. The comprehensive information and long-term coverage offered by the NMME dataset are well suited for our research. This research encompasses a time span from 1982 to 2018. The models included in the NMME have numerous ensemble members. All members of each model were utilized to calculate the ensemble mean. The NMME mean was obtained by performing ensemble averaging on the selected models. The spatial resolutions of the hindcasts for the NMME models are 1.0° × 1.0° latitude/longitude, with the distance range within the TP estimated to be approximately 78–99 km (latitude) and 111 km (longitude). Please refer to the references mentioned in Table 1 for more details about each individual model. In this study, we define summer as the average of the months from June to August, indicated as (JJA). Thus, predictions initialized in May are defined as having a 1-month lead. The other lead times follow in a similar manner.

2.2. Observational Datasets

We utilized three sets of observed precipitation data: CN05.1 [72], CRU v4.05 [73], and GPCP v2.3 [74]. These datasets were selected due to their widespread use and reliability in capturing precipitation patterns. CN05.1 is a dataset produced by the National Meteorological Information Center of China, which combines rain gauge observations with spatial interpolation techniques using an “anomaly approach” based on over 2400 stations [72]. The dataset provides monthly precipitation at a resolution of 0.25° × 0.25° latitude/longitude, with an estimated distance range within the TP of approximately 19.5–24.75 km (latitude) and 27.75 km (longitude). The gridded data obtained via interpolation from meteorological station observations may inevitably contain errors during the interpolation process. Despite the potential errors, the CN05.1 dataset is widely recognized and extensively employed in meteorological and climate research. It provides high-quality ground observation data that are valuable for analyzing climate change, studying extreme weather events, and validating climate models. CRU v4.05, developed by the Climatic Research Unit, is another widely used dataset. It incorporates various sources of observed data, including rain gauges, weather stations, and satellite observations. CRU v4.05 provides monthly precipitation at a resolution of 0.5° × 0.5° latitude/longitude, with an estimated distance range within the TP of approximately 39–45.5 km (latitude) and 55.5 km (longitude). The GPCP v2.3 dataset is a collaborative effort among several organizations, including NASA, NOAA, and the University of Maryland. It combines rain gauge measurements, satellite observations, and other data sources to generate global precipitation estimates. GPCP v2.3 provides monthly precipitation data at a resolution of 2.5° × 2.5° latitude/longitude, with an estimated distance range within the TP of approximately 195–247.5 km (latitude) and 277.5 km (longitude). To address the comparability between the observational datasets and the model datasets, we employed an interpolation technique to interpolate all observed datasets to a consistent spatial resolution of 1.0° × 1.0°, which matches the resolution of the model data. Specifically, we used bilinear interpolation to estimate the values at the grid points in the interpolated dataset. To ensure robustness and representativeness, we performed ensemble averaging by combining the three observed datasets. Ensemble averaging involved calculating the mean value across the three datasets at each grid point, resulting in a composite precipitation dataset. In this research, the average of observations is used to evaluate the model results and calculate the historical prediction errors. The SST data were sourced from the National Oceanic and Atmospheric Administration (NOAA) Optimum Interpolation (OI) SST version 2. Climatology is subtracted across the entire period (1982–2018) to calculate anomalies. At different calendar months and lead times, the predicted anomalies are derived by subtracting their own corresponding climatology.

2.3. Analog-Based Correction Method

A brief overview of the ABC method [60,63] is given here:
Pred ^ ( ψ 0 ) = Pred ( ψ 0 ) + i = 1 n w i Obs ( ψ ~ i ) Pred ( ψ ~ i )
where Pred and Obs refer to model predictions and observations, respectively. In the equation, w i is the weight function. “ ~ ” represents the historical analog time. ψ 0 indicates the current initial state and ψ ~ i is the analogy initial state (i = 1, 2 … n, where n denotes the overall number of analogs chosen). For different ψ 0 , one can target the historical analog ψ ~ i   t h a t is well suited for an estimation of current errors. Pred ^ ( ψ 0 ) represents the corrected model prediction. To the right, the first term corresponds to the original model prediction, while the second term represents the prediction correction. The prediction correction term is determined by utilizing historical analog prediction errors from the same model. Furthermore, it should be noted that prediction objectives are expressed in the equation as functions Pred( ψ ) rather than prediction variables ψ , indicating that the method can be used to correct either prediction variables (such as geopotential height) or their functions (such as precipitation). Particularly, in this study, the variable ψ denotes SST and Obs ( ψ ~ i ) denotes the observed precipitation corresponding to the predicted precipitation Pred ( ψ ~ i ) for the initial value ψ ~ i .

2.4. Evaluation Methods

The Temporal Correlation Coefficient (TCC) and the Pattern Correlation Coefficient (PCC) are used to quantify model predictability. We define x l ,   k and f l ,   k as the anomalies for observation and prediction in space ( l ) and time ( k ); P is the number of space samples; and Q is the number of time samples. They are calculated as follows:
TCC l = k = 1 Q ( x l ,   k x l ¯ ) ( f l ,   k f l ¯ ) k = 1 Q ( x l ,   k x l ¯ ) 2 × k = 1 Q ( f l ,   k f l ¯ ) 2 ,
PCC k = l = 1 P ( x l ,   k x k ¯ ) ( f l ,   k f k ¯ ) l = 1 P ( x l ,   k x k ¯ ) 2 × l = 1 P ( f l ,   k f k ¯ ) 2  
The range of the TCC and PCC are from −1.0 to 1.0, and a large positive (negative) value indicates a highly similar (opposite) correlation between prediction and observation.

3. Results

3.1. Evaluation of Model Direct Predictions

Figure 1 shows the TCC skills directly from the individual NMME models, as well as their mean for predicting the TPSP. The individual models exhibit low prediction skills, characterized by significant correlation coefficients limited to small areas in the southwestern TP. The NMME-mean shows higher positive TCC skills, although this improvement is mainly observed in the southwestern TP. The central–eastern TP is characterized by high population density and extensive economic and agricultural activities, indicating the urgent need for improvements in predicting precipitation over this region. The subsequent analysis focuses on identifying effective predictors of TPSP. Next, a new analog-based correction method of dynamical models is developed, utilizing potential predictors.

3.2. The Establishment of the SST Analog-Based Correction Method

Oceanic basin-wide tropical SSTAs have been recognized as critical climate-forcing factors that significantly contribute to climate prediction due to their long-term sustainability with respect to atmospheric processes. Existing studies have extensively examined the oceanic factors that contribute to the inter-annual variability of TPSP, such as ENSO, NAO/AO, and IOBM (e.g., [15,16,17,18,19,21,23]). Specifically, positive anomalies in SST lead to positive anomalies in the upper tropospheric height field and result in anomalous anticyclonic circulation. The SSTAs are modulated by the influence of winter ENSO and Indian Ocean dipole events. Collectively, these oceanic processes regulate the transport of water vapor, subsequently influencing the TPSP [24].
Figure 2 provides the 5-year-out running correlation between the previous February global SSTAs and the TP area-averaged summer precipitation. The delayed influence of the SST was investigated first, with an analysis of the correlation from the TP-averaged precipitation to global SSTAs in February from 1982 to 2018 (shown in Figure 2a). The previous February SSTAs in the Indian Ocean (IO) and North Atlantic Ocean (ATL) were found to be significantly related to the TPSP. The maximum correlation coefficients with the TP-averaged precipitation index are 0.53 and 0.55, respectively. It is essential to recognize that the relationship between two climate systems can exhibit temporal instability, limiting climate predictability (e.g., [75,76,77,78,79]). Taking these considerations into account, further analysis of running correlation coefficients was conducted to determine the optimal predictor domains. These coefficients were evaluated by consecutively excluding 5 years at a time from the time series and calculating correlations between the predictor and precipitation for each omission; a series of correlation values was obtained. The minimal running correlations refer to the reliability of the predictor–precipitation relationship, as illustrated in Figure 2b. Accordingly, the SSTAs identified by the red boxes in Figure 2b were chosen as predictors and labeled as the ATL-SST and IO-SST.
Figure 3 further provides the correlation between the observational region-averaged SST indices in the two key regions (hereafter referred to as IO-index and ATL-index) and the precipitation prediction errors in each individual model [55]. Positive correlations can be found throughout the TP, with the ATL-index demonstrating relatively higher correlation coefficients compared to the IO-index. Moreover, the spatial distributions of correlation coefficients generally exhibit a high degree of similarity among these model results, with the majority of PCCs between SST-TP precipitation correlations for the NMME-mean and individual models exceeding 0.8 (Figure 4). These findings imply that SSTAs within the key regions influence the formation and development of prediction errors, providing insights into prediction error spatial distribution and variability.
In some cases, there may not be available historical years that are directly comparable or considered the “most analogous” to the current year. To address this issue, a flexible approach has been adopted for the final predictions, which involves selecting analog states by evaluating the PCCs that capture the similarity between present and historical SSTAs within the predictor domain, with a threshold set at 0.7. When the correlation between the SSTAs within the predictor domain exceeds 0.7, the corrected precipitation is utilized as the ultimate prediction result. Conversely, when the correlation is less than 0.7, the original model-predicted precipitation is used as the ultimate prediction for that year. This allows for adaptability in capturing the influence of both high and low correlations between the SSTAs in the predictor domain and prediction errors, resulting in more reliable predictions. Based on the aforementioned analysis, two predictors were selected. Consequently, the final predictions are determined by averaging the results of these two selected predictors, referred to as ensemble–mean (EM) predictions.

3.3. Validation of the New Method

To validate the new method, rolling-independent reforecast experiments were adopted in this study. This approach involves using only historical observational data from previous years to be utilized for training. For example, for the year 1992 (1993), only observational data from 1982 to 1991 (1982–1992) are utilized to train the model, and so on. Subsequently, a combined dataset spanning from 1992 to 2018, incorporating both hindcasts and operational predictions, is employed for evaluating how well the correction method performs.
Figure 5 and Figure 6 depict the TCC skills of the individual models for JJA mean precipitation after applying the new method, using the predictors of the IO-SST and the ATL-SST, during the rolling-independent period from 1992 to 2018. In comparison to the original predictions, which demonstrate low prediction skill over the central–eastern TP (Figure 1), the new method predictions exhibit significantly improved skill in predicting JJA precipitation. Figure 5b and Figure 6b show the TCC differences between the corrected and the original predictions, highlighting the substantial improvements achieved by the new method in predicting the TPSP. For the corrected predictions of the IO-SST as a predictor, positive values are found throughout the central–eastern TP regions in most models with the highest TCC improvement (over 0.5). When the ATL-SST is used as a predictor, the COLA-RSMAS-CCSM4 model demonstrates the most significant improvement in TCC with a maximum value of 0.81, while the majority of other models also exhibit improvements exceeding 0.5. Using ATL-SST as a predictor leads to a skill improvement, notably in the southwestern TP region in Figure 6, even if the original models already show remarkable skill in this area. This finding is further supported by the skills of area-averaged TCC for both the original and corrected NMME-mean, as shown in Figure S1. Additionally, it can be observed from Figure S1 that the EM predictions combining the two predictors are generally superior to those of each individual predictor alone.
Figure 7 illustrates the spatial patterns of the TCCs of the corrected NMME-mean, as well as the differences between the corrected NMME-mean and the original NMME-mean, for each lead month ranging from 1 to 4. In contrast to the limited improvement observed in the southwestern TP of the original NMME-mean, the corrected NMME-mean exhibits widespread positive TCCs across almost the whole TP region, except for some northern peripheral areas. As seen in Figure 7b, TCCs have significantly improved, with values exceeding 0.6.
Figure 8 presents the PCCs from the observed anomalous precipitation with respect to the predictions generated by both the original NMME-mean and the new method. In most years, the NMME-mean based on the new method exhibits larger or very similar PCCs compared to the original NMME-mean. The long-term averaged PCCs over 1992–2018 increased from approximately 0.16 (0.17, 0.20, and 0.16) of the uncorrected NMME-mean to approximately 0.25 (0.23, 0.27, and 0.28) of the original NMME-mean at lead time of one month (two months, three months, and four months). Figure S2 shows substantial improvements in the long-term averaged PCCs for the individual models derived from the new method. The results obtained from this study indicate that the new method has the ability to significantly improve the prediction of the TPSP.

4. Discussion

The TP poses considerable challenges for accurately predicting summer precipitation due to its unique geographical features, complex topography, and atmospheric circulation patterns. Current dynamical models have limitations in accurately capturing TPSP. This study introduces a new analog-based correction method that has been developed to address this challenge and improve the prediction of the TPSP. The method is motivated by the hypothesis that the flow-dependent model prediction errors exhibit some degree of similarity when the prior climate states of the models are analogous to one another. When the new method is applied to the NMME model hindcasts dataset, the verification against independent observations shows that the new SST analog-based correction method of dynamical models can evidently improve prediction skills of summer precipitation in most TP regions.
Over the past few years, dynamic models have become the most powerful tool in climate predictions. However, it is inevitable that these models will have inherent errors in their predictions. Specifically, prediction errors refer to the disparities between the predicted values and the corresponding observed values. The errors are known to vary with the climate state, which can be estimated statistically using related physical variables as predictors. In other words, the variability of the climate system directly or indirectly influences the configuration and evolution of prediction errors, and such influences will further be reflected in the distribution and change in prediction errors. This serves as the fundamental premise of the present study. Our study examined the correlation between preceding February SSTAs and prediction errors of TPSP. The analysis reveals a significant relationship between prediction errors and preceding February SSTAs in key regions of the Indian Ocean and North Atlantic Ocean. Additionally, a high degree of similarity in the prediction errors is observed among different dynamical models utilized in this study. In simpler terms, when the SSTAs in February exhibit similarities, it is possible for the model prediction errors to exhibit similar patterns as well. This formed the basis of our method, and we utilized this relationship to estimate error weights by combining them. Building on these findings, the analog-based correction method has been applied to predict summer precipitation using the identified SST predictors. The rolling-independent validation technique has been used from 1992 to 2018 to verify the new method. The findings of this study demonstrate promising results for the proposed correction method in predicting summer precipitation over the TP. Both the IO-SST and ATL-SST exhibit superior performance with positive TCCs over most areas of the TP, albeit with regional differences. The EM predictions using both the IO-SST and ATL-SST predictors demonstrate superior performance compared to each predictor individually. This approach provided a novel perspective and practical application for error correction in climate prediction, ultimately contributing to the advancement of the field.
Our findings provided insights that, despite the overall positive performance exhibited by the IO-SST and ATL-SST, there are regional differences indicating that individual predictors may exert specific influences on particular areas of the TP. The regional variations could be attributed to the complex interactions between atmospheric and oceanic processes, as well as the specific geographical features and atmospheric circulation patterns in different sub-regions of the TP. Therefore, future prediction research will consider dividing the entire TP into several sub-regions. In addition to our focus on SST predictors, previous studies, as mentioned in our introduction, have extensively investigated the influence of ENSO on TP precipitation. We also explored the application of an ENSO-based ABC method to predict TP summer precipitation. However, despite our efforts, this approach has not yielded a significant improvement in prediction skills. Notably, Liu and Ren (2023) found that EP El Niño and CP La Niña have contrasting effects on summer precipitation in the southwestern TP, resulting in a trans-type inversion characterized by significant decreases and increases, respectively [19]. These findings highlight the complexity of the relationship between ENSO and TP precipitation, which is may also reflected in model errors. Considering the intricate nature of this relationship, our future investigations aim to delve deeper into the characteristics of TP precipitation under different ENSO event types and apply the findings to improve the TPSP prediction in dynamical models. Beyond that, it is possible to consider that nonlinear prediction errors can be objectively isolated and addressed via alternative nonlinear methodologies, including deep learning techniques [80].
Although the new method for TP precipitation shows significant improvement, it is important to acknowledge that its performance may vary across different time periods. The variation can arise from uncertainties between the predictor and predictand at interdecadal or decadal scales [81]. Therefore, achieving stable and highly skilled TP precipitation prediction remains a major challenge. In this study, the analog-based correction mechanism is exclusively established using the preceding SST signals. Nevertheless, it is imperative to acknowledge the intricate and extensive drivers of TPSP variability. Other boundary signals, including snow cover and soil moisture [82,83,84,85], may also influence TPSP. In addition, we used bilinear interpolation to estimate the values at the grid points in the interpolated dataset. It is also important to acknowledge the limitations and potential biases associated with interpolation techniques. Bilinear interpolation assumes a uniform distribution of data in space and equal distances between grid points. In reality, there may be discrepancies in spatial resolution or grid layout between the observed datasets and the model data, which could introduce interpolation bias. Although it is not possible to eliminate this type of bias entirely, in order to improve the reliability of the observational data, we employed multiple datasets. This ensemble averaging approach involved calculating the mean value across the three datasets at each grid point, resulting in a composite precipitation dataset. This helped to reduce the impact of individual dataset biases and improve the representativeness of the interpolated dataset. In addition, in our study, we also compared the skills verified by directly using each set of observational data, respectively. It is evident that the overall distribution of TCC skills remains relatively consistent. These findings align with the results obtained from multiple observational ensembles. Despite the inherent variability in the observation data, we made diligent efforts to account for its influence, and via comprehensive analysis, we demonstrated the robustness of our error correction method from multiple perspectives.

5. Conclusions

This study introduced an analog-based correction method aimed at improving summer precipitation prediction over the TP. The new method has been successfully applied to predict precipitation for the models included in the NMME dataset. The performance of the new method is validated by utilizing remote-sensing-based and observational datasets as benchmarks. Three main conclusions were obtained as follows:
(1)
The prediction skill for summer precipitation over the TP in current climate models is constrained, with notable limitations observed in the central–eastern TP region. Additionally, the prediction errors demonstrate a pronounced level of consistency across various dynamical models.
(2)
The prediction errors of TPSP exhibit a significant correlation with the previous February anomalies of SST in the key regions of the tropical Ocean. Both the ATL-SST and IO-SST can be considered effective predictors for correcting the prediction errors while noting the presence of regional differences.
(3)
The prediction skill for summer precipitation over the TP exhibits notable improvements via the application of the new SST analog-based correction method, as demonstrated by higher temporal and spatial skill scores obtained from the rolling-independent verification. This study provides a valuable tool for enhancing the prediction of TPSP within dynamical models.

Supplementary Materials

The following supporting information can be downloaded at https://www.mdpi.com/article/10.3390/rs15245669/s1. Figure S1: The area-averaged TCCs for the original and corrected NMME-mean during the period of 1992–2018; Figure S2: Long-term averaged PCCs between the observation and the original predictions, as well as the corrected predictions from the new method of two selected predictors during the period of 1992–2018.

Author Contributions

Conceptualization, H.-L.R.; methodology, H.-L.R. and L.W.; software, L.W.; validation, B.C., L.G., J.L., H.C., Y.W., and X.Z.; formal analysis, H.-L.R. and L.W.; investigation, L.W. and H.-L.R.; writing—original draft preparation, L.W. and. H.-L.R.; writing—review and editing, L.W., H.-L.R., X.X., B.C., L.G., J.L., H.C., Y.W., and X.Z.; supervision, H.-L.R.; funding acquisition, H.-L.R. All authors have read and agreed to the published version of the manuscript.

Funding

This research was jointly funded by the China National Natural Science Foundation (grant numbers U2242206 and 42305045), the Special Project for Innovation and Development of CMA (Grant number CXFZ2023J050) and the Basic Research and Operational Special Project of CAMS (grant numbers 2023Z003, 2023Z024, and 2021Z007).

Data Availability Statement

The data used in this study can be downloaded from https://psl.noaa.gov/data/gridded/data.noaa.oisst.v2.highres.html (accessed on 13 September 2023) for monthly SST dataset; https://psl.noaa.gov/data/gridded/data.gpcp.html (accessed on 13 September 2023) for GPCP monthly precipitation dataset; and https://www.uea.ac.uk/web/groups-and-centres/climatic-research-unit/data/ (accessed on 13 September 2023) for CRU monthly precipitation dataset. All NMME data for this study can be freely obtained from the database hosted at IRI, http://iridl.ldeo.columbia.edu/SOURCES/.Models/.NMME/#expert (accessed on 13 September 2023). The CN05.1 precipitation dataset was obtained by the authors via an agreement with the China Meteorological Administration for the current study and so is not publicly available.

Acknowledgments

We thank the National Meteorological Information Center of China Meteorological Administration for providing precipitation data.

Conflicts of Interest

The authors declare no conflict of interest.

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Figure 1. TCC skills between the observed and predicted TPSP, derived from the original NMME models and NMME-mean at four-month lead during 1992–2018.
Figure 1. TCC skills between the observed and predicted TPSP, derived from the original NMME models and NMME-mean at four-month lead during 1992–2018.
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Figure 2. (a) The correlation map and (b) the 5-year-out running correlation map between the previous February global SSTAs and the TP area-averaged summer precipitation during the whole period of 1982–2018. The dotted areas denote the statistical significance of Student’s t-test at the 99% confidence level.
Figure 2. (a) The correlation map and (b) the 5-year-out running correlation map between the previous February global SSTAs and the TP area-averaged summer precipitation during the whole period of 1982–2018. The dotted areas denote the statistical significance of Student’s t-test at the 99% confidence level.
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Figure 3. The correlation maps between prediction errors of JJA precipitation at a four-month lead and the observed (a) IO-index and (b) ATL-index during the whole period of 1982–2018.
Figure 3. The correlation maps between prediction errors of JJA precipitation at a four-month lead and the observed (a) IO-index and (b) ATL-index during the whole period of 1982–2018.
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Figure 4. The PCCs between the NMME-mean and individual models for the correlation maps (obtained from Figure 3) of the JJA precipitation prediction errors and the observed (a) IO-index and (b) ATL-index.
Figure 4. The PCCs between the NMME-mean and individual models for the correlation maps (obtained from Figure 3) of the JJA precipitation prediction errors and the observed (a) IO-index and (b) ATL-index.
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Figure 5. (a) Patterns of TCC skills for the new method of the IO-SST as predictor (top 2 rows) and (b) the skill differences between the corrected and original models (bottom 2 rows) at four-month lead during the period of 1992–2018.
Figure 5. (a) Patterns of TCC skills for the new method of the IO-SST as predictor (top 2 rows) and (b) the skill differences between the corrected and original models (bottom 2 rows) at four-month lead during the period of 1992–2018.
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Figure 6. (a) Patterns of TCC skills for the new method of the ATL-SST as predictor (top 2 rows) and (b) the skill differences between the corrected and original models (bottom 2 rows) at four-month lead, during the period of 1992–2018.
Figure 6. (a) Patterns of TCC skills for the new method of the ATL-SST as predictor (top 2 rows) and (b) the skill differences between the corrected and original models (bottom 2 rows) at four-month lead, during the period of 1992–2018.
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Figure 7. Patterns of TCC skills (a) for the corrected NMME-mean from the new method of combining two selected predictors and the skill differences (b) between the corrected and original NMME-mean predictions during the period of 1992–2018. The first to fourth rows reflect one- to four-month leads, respectively.
Figure 7. Patterns of TCC skills (a) for the corrected NMME-mean from the new method of combining two selected predictors and the skill differences (b) between the corrected and original NMME-mean predictions during the period of 1992–2018. The first to fourth rows reflect one- to four-month leads, respectively.
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Figure 8. PCCs for the predictions of the original NMME-mean, as well as the corrected NMME-mean from the new method of combining two selected predictors, during the period of 1992–2018. The first to fourth rows reflect one- to four-month leads, respectively. The long-term averaged PCC skills are given in the top-right for each panel.
Figure 8. PCCs for the predictions of the original NMME-mean, as well as the corrected NMME-mean from the new method of combining two selected predictors, during the period of 1992–2018. The first to fourth rows reflect one- to four-month leads, respectively. The long-term averaged PCC skills are given in the top-right for each panel.
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Table 1. Description of models.
Table 1. Description of models.
ModelTimeMembersLeadReference
CMC1-CanCM31982–2018100–11[67]
CMC2-CanCM41982–2018100–11[67]
COLA-RSMAS-CCSM31982–201860–11[68]
COLA-RSMAS-CCSM41982–2018100–11[69]
GFDL_CM2p1_aer041982–2018100–11[70]
GFDL_CM2p5_FLOR_A061982–2018120–11[70]
GFDL_CM2p5_FLOR_B011982–2018120–11[70]
NCEP-CFSv21982–2018240–9[71]
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Wang, L.; Ren, H.-L.; Xu, X.; Gao, L.; Chen, B.; Li, J.; Che, H.; Wang, Y.; Zhang, X. Improving Predictions of Tibetan Plateau Summer Precipitation Using a Sea Surface Temperature Analog-Based Correction Method. Remote Sens. 2023, 15, 5669. https://doi.org/10.3390/rs15245669

AMA Style

Wang L, Ren H-L, Xu X, Gao L, Chen B, Li J, Che H, Wang Y, Zhang X. Improving Predictions of Tibetan Plateau Summer Precipitation Using a Sea Surface Temperature Analog-Based Correction Method. Remote Sensing. 2023; 15(24):5669. https://doi.org/10.3390/rs15245669

Chicago/Turabian Style

Wang, Lin, Hong-Li Ren, Xiangde Xu, Li Gao, Bin Chen, Jian Li, Huizheng Che, Yaqiang Wang, and Xiaoye Zhang. 2023. "Improving Predictions of Tibetan Plateau Summer Precipitation Using a Sea Surface Temperature Analog-Based Correction Method" Remote Sensing 15, no. 24: 5669. https://doi.org/10.3390/rs15245669

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