Average: 4/5

Grid systems:

# Downscaling and Regional Climate Models

Source: CMIP3 data; USGCRP 2009
This article has been reviewed by the following Topic Editor: Sidney Draggan Ph.D.

Global climate system models have a coarse spatial resolution (for example, typical Atmospheric general circulation models have spatial resolution of 200 km in the horizontal and ocean general circulation models on the order of 100 km in the horizontal). This spatial resolution is not adequate for modeling regional climate. Therefore to obtain greater resolution on a regional scale, methods known a "downscaling" are used.

## Types of Downscaling Simulations

This section focuses on downscaling using three-dimensional models based on fundamental conservation laws [i.e., numerical models with foundations similar to General Circulation Models (GCMs)]. A later section of the article discusses an alternative method, statistical downscaling.

There are three primary approaches to numerical downscaling:

• Limited-area models[1].
• Stretched-grid models[2].
• Uniformly high resolution atmospheric GCMs (AGCMs)[3].

Limited-area models, also known as regional climate models (RCMs), have the most widespread use. The third method sometimes is called “time-slice” climate simulation because the Atmospheric General Circulation Model (AGCM) simulates a portion of the period represented by the coarser-resolution parent GCM that supplies the model’s boundary conditions. All three methods use interactive land models, but sea-surface temperatures and sea ice generally are specified from observations or an atmosphere-ocean GCM (AOGCM). All three also are used for purposes beyond downscaling global simulations, most especially for studying climatic processes and interactions on scales too fine for typical GCM resolutions.

As limited-area models, RCMs cover only a portion of the planet, typically a continental domain or smaller. They require lateral boundary conditions (LBCs), obtained from observations such as atmospheric analyses[4] or a global simulation. There has been limited two-way coupling wherein an RCM supplies part of its output back to the parent GCM[5]. Simulations with observationbased boundary conditions are used not only to study fine-scale climatic behavior but also to help segregate GCM errors from those intrinsic to the RCM when performing climate change simulations[6]. RCMs also may use grids nested inside a coarser RCM simulation to achieve higher resolution in subregions[7].

Stretched-grid models, like high-resolution AGCMs, are global simulations but with spatial resolution varying horizontally. The highest resolution may focus on one[8] or a few regions[9]. In some sense, the uniformly high resolution AGCMs are the upper limit of stretched-grid simulations in which the grid is uniformly high everywhere.

Highest spatial resolutions are most often several tens of kilometers, although some[10] have simulated climate with resolutions as small as a few kilometers using multiple nested grids. Duffy et al.[11] have performed multiple AGCM time-slice computations using the same model to simulate resolutions from 310 km down to 55 km. Higher resolution generally yields improved climate simulation, especially for fields such as precipitation that have high spatial variability. For example, some studies show that higher resolution does not have a statistically significant advantage in simulating large-scale circulation patterns but does yield better monsoon precipitation forecasts and interannual variability[12] and precipitation intensity[13].

Improvement in results, however, is not guaranteed: Hay et al.[14] find deteriorating timing and intensity of simulated precipitation vs observations in their inner, high-resolution nests, even though the inner nest improves topography resolution. Extra-tropical storm tracks in a time-slice AGCM may shift poleward relative to the coarser parent GCM[15] or to lower-resolution versions of the same AGCM[16]; thus these AGCMs yield an altered climate with the same sea-surface temperature distribution as the parent model.

Spatial resolution affects the length of simulation periods because higher resolution requires shorter time steps for numerical stability and accuracy. Required time steps scale with the inverse of resolution and can be much smaller than AOGCM time steps. Increases in resolution most often are applied to both horizontal directions, meaning that computational demand varies inversely with the cube of resolution. Several RCM simulations have lasted 20 to 30 years[17] and even as long as 140 years[18] with no serious drift away from reality. Even so, the RCM, stretched-grid, and time-slice AGCM simulations typically last only months to a few years. Vertical resolution usually does not change with horizontal resolution, although Lindzen and Fox-Rabinovitz[19] and Fox-Rabinovitz and Lindzen[20] have expressed concerns about the adequacy of vertical resolution relative to horizontal resolution in climate models.

Higher resolution in RCMs and stretched-grid models also must satisfy numerical constraints. Stretched-grid models whose ratio of coarsest-to- finest resolution exceeds a factor of roughly 3 are likely to produce inaccurate simulation due to truncation error[21]. Similarly, RCMs will suffer from incompletely simulated energy spectra and thus loss of accuracy if their resolution is about 12 times or more finer than the resolution of the LBC source, which may be coarser RCM grids[22]. In addition, these same studies indicate that LBCs should be updated more frequently than twice per day.

Additional factors also govern ingestion of LBCs by RCMs. LBCs are most often ingested in RCMs by damping the model’s state toward LBC fields in a buffer zone surrounding the domain of interest[23]. If the buffer zone is only a few grid points wide, the interior region may suffer phase errors in simulating synoptic-scale waves (storm systems), with resulting error in the overall regional simulation[24]. Spurious reflections also may occur in boundary regions[25]. RCM boundaries should be where the driving data are of optimum accuracy[26], but placing the buffer zone in a region of rapidly varying topography can induce surface-pressure errors. These errors result from mismatch between the smooth topography implicit in the coarse resolution driving the data and the varying topography resolved by the model[27]. Domain size also may influence RCM results. If a domain is too large, the model’s interior flow may drift from the large-scale flow of the driving data set[28]. However, too small a domain overly constrains interior dynamics, preventing the model from generating appropriate response to interior mesoscale circulation and surface conditions[29]. RCMs appear to perform well for domains roughly the size of the contiguous United States. Figure 3.1 shows that the daily, root-mean-square difference (RMSD) between simulated and observed (reanalysis) 500-hPa heights generally is within observational noise levels (about 20 m).

Because simulations from the downscaling models may be analyzed for periods as short as a month, model spinup is important[30]. During spin up, the model evolves to conditions representative of its own climatology, which may differ from the sources of initial conditions. The atmosphere spins up in a matter of days, so the key factor is spinup of soil moisture and temperature, which evolve more slowly. Equally important, data for initial conditions often are lacking or have low spatial resolution, so initial conditions may be only a poor approximation of the model’s climatology. Spinup is especially relevant for downscaling because these models presumably are resolving finer surface features than coarser models, with the expectation that the downscaling models are providing added value through proper representation of these surface features. Deep-soil temperature and moisture, at depths of 1 to 2 meters, may require several years of spinup. However, these deep layers generally interact weakly with the rest of the model, so shorter spinup times are used. For multiyear simulations, a period of 3 to 4 years appears to be the minimal requirement[31]. This ensures that the upper meter of soil has a climatology in further simulations that is consistent with the evolving atmosphere.

Figure 3.1. Daily Root-Mean-Square Differences (RMSD) in 500-hPa Heights Between Observations (Reanalysis) and Seven Models Participating in the PIRCS 1a Experiment, for May 15 to July 15, 1988. RMSD values were averaged over the simulation domain inside the boundary-forcing zone. [Adapted from Fig. 4 in E.S. Takle et al. 1999: Project to Intercompare Regional Climate Simulations (PIRCS): Description and initial results. J. Geophysical Research, 104, 19443– 19461. Used with permission of the American Geophysical Union.]

Many downscaling simulations, especially with RCMs, are for periods much shorter than 2 years. Such simulations probably will not use multiyear spinup. Rather, these studies may focus on more rapidly evolving atmospheric behavior governed by LBCs, including extreme periods such as drought[32] or flood[33]. Thus, they assume that interaction with the surface, while not negligible, is not strong enough to skew the atmospheric behavior studied. Alternatively, relatively short regional simulations may specify, for sensitivity study, substantial changes in surface evaporation[34], soil moisture[35], or horizontal moisture flux at lateral boundaries[36] .

### Parameterization Issues

Even with higher resolution than standard GCMs, models simulating regional climate still need parameterizations for subgrid-scale processes, most notably boundary-layer dynamics, surface-atmosphere coupling, radiative transfer, and cloud microphysics. Most regional simulations also require a convection parameterization, although a few have used sufficiently fine grid spacing (a few kilometers) to allow acceptable simulation without it[37]. Often, these parameterizations are the same or nearly the same as those used in GCMs. All parameterizations, however, make assumptions that they are representing the statistics of subgrid processes. Implicitly or explicitly, they require that the grid box area in the real world has sufficient samples to justify stochastic modeling. For some parameterizations such as convection, this assumption becomes doubtful when grid boxes are only a few kilometers in size[38].

In addition, models simulating regional climate may include circulation characteristics, such as rapid mesoscale circulations (jets) whose interaction with subgrid processes like convection and cloud cover differs from larger-scale circulations resolved by typical GCMs. This factor is part of a larger issue, that parameterizations may have regime dependence, performing better for some conditions than for others. For example, the Grell[39] convection scheme is responsive to large-scale tropospheric forcing, whereas the Kain and Fritsch[40] scheme is heavily influenced by boundary-layer forcing. As a result, the Grell scheme better simulates the propagation of precipitation over the U.S. Great Plains that is controlled by large-scale tropospheric forcing, while the Kain–Fritsch scheme better simulates late-afternoon convection peaks in the southeastern United States that are governed by boundary-layer processes[41]. As a consequence, parameterizations for regional simulation may differ from their GCM counterparts, especially for convection and cloud microphysics. As noted earlier, regional simulation in some cases may have resolution of only a few kilometers, and the convection parameterization may be discarded[42]. A variety of parameterizations exist for each subgrid process, with multiple choices often available in a single model[43].

### Regional Simulation vs Computational Costs

The chief reason for performing regional simulation, whether by an RCM, a stretched-grid model, or a time-slice AGCM, is to resolve behavior considered important for a region’s climate that a global model does not resolve. Thus, regional simulation should have clearly defined regional-scale (mesoscale) phenomena targeted for simulation. These include tropical storms[44], effects of mountains[45], jet circulations[46], and regional ocean-land interaction[47]. The most immediate value of regional simulation, then, is to explore how such phenomena operate in the climate system, an understanding of which becomes a justification for the expense of performing regional simulation. Phenomena and computational costs together influence the design of regional simulations. Simulation periods and resolution are balanced between sufficient length and number of simulations for climate statistics vs computational cost. For RCMs and stretchedgrid models, the sizes of regions targeted for high-resolution simulation are determined in part by where the phenomenon occurs.

In the context of downscaling, regional simulation offers the potential to include phenomena affecting regional climate change that are not explicitly resolved in the global simulation. When incorporating boundary conditions corresponding to future climate, regional simulation can then indicate how these phenomena contribute to climate change. Results, of course, are dependent on the quality of the boundary condition source[48], although use of multiple sources of future climate may lessen this vulnerability and offer opportunity for probabilistic estimates of regional climate change[49]. Results also depend on the physical parameterizations used in the simulation[50].

Advances in computing power suggest that typical GCMs eventually will operate at resolutions of most current regional simulations (a few tens of kilometers), so understanding and modeling improvements gained for regional simulation can promote appropriate adaptation of GCMs to higher resolution. For example, interaction between mesoscale jets and convection appears to require parameterized representation of convective downdrafts and their influence on the jets[51], parameterized behavior not required for resolutions that do not resolve mesoscale circulations. Because of the variety of numerical techniques and parameterizations employed in regional simulation, many models and versions of models exist. Generally in side-by-side comparisons[52], no single model appears best vs observations, with different models showing superior performance depending on the field examined. Indeed, the best results for downscaling climate simulations and estimating climate-change uncertainty may come from assessing an ensemble of simulations[53]. Such an ensemble may capture much of the uncertainty in climate simulation, offering an opportunity for physically based analysis of climate changes and also the uncertainty of the changes. Several regional models have performed simulations of climate change for parts of North America, but at present no regional projections have used an ensemble of regional models to simulate the same time periods with the same boundary conditions. Such systematic evaluation has occurred in Europe in the PRUDENCE[54] and ENSEMBLES[55] projects and is starting in North America with the North American Regional Climate Change Assessment Program[56].

## Empirical Downscaling

Empirical or statistical downscaling is an alternative approach to obtaining regional-scale climate information[57]. It uses statistical relationships to link resolved behavior in GCMs with climate in a targeted area. The targeted area’s size can be as small as a single point. As long as significant statistical relationships occur, empirical downscaling can yield regional information for any desired variable such as precipitation and temperature, as well as variables not typically simulated in climate models, such as zooplankton populations[58] and initiation of flowering[59]. This approach encompasses a range of statistical techniques from simple linear regression[60] to more-complex applications such as those based on weather generators[61], canonical correlation analysis[62], or artificial neural networks[63]. Empirical downscaling can be very inexpensive compared to numerical simulation when applied to just a few locations or when simple techniques are used. Lower costs, together with flexibility in targeted variables, have led to a wide variety of applications for assessing impacts of climate change.

Some methods have been compared side by side[64]. These studies have tended to show fairly good performance of relatively simple vs more-complex techniques and to highlight the importance of including moisture and circulation variables when assessing climate change. Statistical downscaling and regional climate simulation also have been compared[65], with no approach distinctly better or worse than any other. Statistical methods, though computationally efficient, are highly dependent on the accuracy of regional temperature, humidity, and circulation patterns produced by their parent global models. In contrast, regional climate simulation, though computationally more demanding, can improve the physical realism of simulated regional climate through higher resolution and better representation of important regional processes. The strengths and weaknesses of statistical downscaling and regional modeling thus are complementary.

## Strengths and Limitations of Regional Models

We focus here on numerical models simulating regional climate but do not discuss empirical downscaling because the wide range of applications using the latter makes difficult a general assessment of strengths and limitations. The higher resolution in regional-scale simulations provides quantitative value to climate simulation. With finer resolution, scientists can resolve mesoscale phenomena contributing to intense precipitation, such as stronger upward motions[66] and coupling between regional circulations and convection[67].

Time-slice AGCMs show intensified storm tracks relative to their parent model[68]. Thus, although regional models may still miss the most extreme precipitation[69], they can give more intense events that will be smoothed in coarser-resolution GCMs. The higher resolution also includes other types of scale-dependent variability, especially short-term variability such as extreme winds and locally extreme temperature that coarser-resolution models will smooth and thus inhibit.

Mean fields also appear to be simulated somewhat better on average than are those in coarser GCMs because spatial variations potentially are better resolved. Thus, Giorgi et al.[70] report typical errors in RCMs of less than 2°C temperature and 50% for precipitation in regions 105 to 106 km2. Large-scale circulation fields tend to be well simulated, at least in the extratropics. As alluded to above, regional-scale simulations also have phenomenological value, simulating processes that GCMs either cannot resolve or can resolve only poorly. These include internal circulation features such as the nocturnal jet that imports substantial moisture to the center of the United States and couples with convection[71]. These processes often have substantial diurnal variation and thus are important to proper simulation of regional diurnal cycles of energy fluxes and precipitation. Some processes require the resolution of surface features too coarse for typical GCM resolution. These include rapid topographic variation and its influence on precipitation[72] and the climatic influences of bodies of water such as the Gulf of California[73] and the North American Great Lakes[74] and their downstream influences. In addition, regional simulations resolve land-surface features that may be important for climatechange impact assessments such as distributions of crops and other vegetation[75], although care is needed to obtain useful information at higher resolution[76].

An important limitation for regional simulations is that they are dependent on boundary conditions supplied from some other source. This applies to all three forms of numerical simulation (RCMs, stretched-grid models, and time-slice AGCMs), since they all typically require input of sea-surface temperature and ocean ice. Some RCM simulations have been coupled to a regional ocean-ice model, with mixed-layer ocean[77] and a regional ocean-circulation model[78], but this is not common. In addition, of course, RCMs require LBCs. Thus, regional simulations by these models are dependent on the model quality or on observations supplying boundary conditions. This is especially true for projections of future climate, suggesting value in performing an ensemble of simulations using multiple atmosphere-ocean global models to supply boundary conditions, thus including some of the uncertainty involved in constructing climate models and projecting future changes in boundary conditions.

Careful evaluation also is necessary to show differences, if any, between the regional simulation’s large-scale circulation and its driving dataset. Generally, any tendency for the regional simulation to alter biases in the parent GCM’s large-scale circulation should be viewed with caution[79]. An RCM normally should not be expected to correct large-scale circulation problems of the parent model unless the physical basis for the improvement is clearly understood. Clear physical reasons for the correction due to higher resolution, such as better rendition of physical processes like topographic circulation[80], surface-atmosphere interaction[81], and convection[82] must be established. Otherwise, the regional simulation may simply have errors that counteract the parent GCM’s errors, thus undermining confidence in projected future climate.

RCMs also may exhibit difficulty in outflow regions of domains, especially regions with relatively strong cross-boundary flow, which may occur in extratropical domains covering a single continent or less. The difficulty appears to arise because storm systems may track across the RCM’s domain at a different speed from their movement in the driving-data source, resulting in a mismatch of circulations at boundaries where storms would be moving out of the domain. Also, unresolved scales of behavior are always present, so regional simulations are still dependent on parameterization quality for the scales explicitly resolved. Finally, higher computational demand due to shorter time steps limits the length of typical simulations to 2 to 3 decades or less[83], with few ensemble simulations to date.

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## Citation

Department of Energy (Lead Author);Sidney Draggan Ph.D. (Topic Editor) "Downscaling and Regional Climate Models". In: Encyclopedia of Earth. Eds. Cutler J. Cleveland (Washington, D.C.: Environmental Information Coalition, National Council for Science and the Environment). [First published in the Encyclopedia of Earth February 18, 2010; Last revised Date May 7, 2012; Retrieved May 25, 2013 <http://www.eoearth.org/article/Downscaling_and_Regional_Climate_Models?topic=54311>

## The Author

The Department of Energy's overarching mission is to advance the national, economic, and energy security of the United States; to promote scientific and technological innovation in support of that mission; and to ensure the environmental cleanup of the national nuclear weapons complex. The Department has four strategic goals toward achieving the mission. Defense Strategic Goal: To protect our national security by applying advanced science and nuclear technology to the Nation’s defense. En ... (Full Bio)