1. Introduction
Over the past decade, damages from air pollution in the United States (U.S.) have decreased substantially due in large part to rapid changes within the utility sector (Tschofen et al., Reference Tschofen, Azevedo and Muller2019). From 2010 to 2017, annual social costs from U.S. power plant emissions fell by more than $100 billion (Holland et al., Reference Holland, Mansur, Muller and Yates2020). This decline is due to the U.S.’s ongoing transition toward a cleaner energy economy, a considerable part of which is moving away from coal (Kolstad, Reference Kolstad2017). Regulatory and market forces have increasingly put pressure on the coal industry. The U.S. Environmental Protection Agency (EPA) recently promulgated several policies (U.S. EPA’s Clean Air Markets Division, 2023) that have required many coal plants to increase pollution abatement or otherwise cut production.Footnote 1 However, there is emerging consensus that market forces, namely natural gas prices, have been the key driver of coal’s decline (Culver & Hong, Reference Culver and Hong2016; Linn & McCormack, Reference Linn and McCormack2019; Coglianese et al., Reference Coglianese, Gerarden and Stock2020). As a result, hundreds of coal-fired electric generating units (EGUs) retired between 2010 and 2019 (Johnson & Chau, Reference Johnson and Chau2019), and coal’s contribution to net generation, which was between 44 and 57% historically through 2010, now accounts for little more than 20% (U.S. EIA, 2023c).
Both benefits and costs result from the decline of coal in the U.S. One of the major consequences of burning coal is the release of criteria air pollutants, including sulfur dioxide (SO2), nitrogen oxides (NOx), and primary fine particulate matter (PM2.5) (U.S. EPA’s Office of Air and Radiation, 2018, 2022a; U.S. EPA’s Clean Air Markets Division, 2022). These local air pollutants are all precursors to ambient PM2.5, which drives increased mortality risk (Burnett et al., Reference Burnett, Pope, Ezzati, Olives, Lim, Mehta and Shin2014) and, more broadly, accounts for most of the air pollution-related health damages in the U.S. (U.S. EPA’s Office of Air and Radiation, 2011). Hence, the U.S.’s decreased reliance on coal yields substantial benefits by avoiding SO2, NOx, and primary PM2.5. Coal also emits carbon dioxide (CO2), a greenhouse gas (GHG) that drives global climate change and a plethora of consequences (Nordhaus, Reference Nordhaus2013; IWG, 2016; NOAA Education, 2021). As such, there are further benefits from fewer CO2 emissions associated with coal’s decline, but supplanting coal with natural gas risks offsetting much of these gains (Gordon et al., Reference Gordon, Reuland, Jacob, Worden, Shindell and Dyson2023).
Primary among the costs of coal’s decline are those incurred by coal-dependent workers and communities. To illustrate, national coal mining jobs fell by half in just 10 years – from 80,000 in 2010 to 40,000 in 2020 (U.S. BLS, 2023). This has led to unemployment and lost wages in areas where coal plays a significant role in the local economy, accounts for a large portion of tax revenue, and serves as a way of life (Carley & Konisky, Reference Carley and Konisky2020; Morris et al., Reference Morris, Kaufman and Doshi2021; Raimi et al., Reference Raimi, Grubert, Higdon, Metcalf, Pesek and Singh2022). In addition, tens of thousands of retired coal workers receive pensions from programs that essentially collapsed due to bankruptcies in the industry and now receive hundreds of millions of dollars in federal support annually (Rep. Pascrell, Reference Rep. Pascrell2019; Sen. Manchin, Reference Sen. Manchin2019; Walsh, Reference Walsh2019). These factors highlight the vulnerability of, if not existential threat to, coal-dependent communities and partially explain their resistance to the clean energy transition. Meanwhile, evidence shows that the U.S. is not moving away from coal fast enough to limit global temperature rise to a 1.5-degree Celsius target (GEM et al., 2022), with its current trajectory set to result in significant environmental damage (Mayfield, Reference Mayfield2022).
This article uses benefit–cost analysis (BCA) to evaluate solutions for a swift and just transition away from coal. Specifically, we focus on the net benefits of two public policies: worker compensation for lost wages and paid decommissioning of remaining coal-fired power plants. We begin by estimating recent damages from coal emissions and future damages from the current fleet. Reductions in damage, either retrospectively or prospectively, yield social benefits. We use the AP3 integrated assessment model (IAM) (Clay et al., Reference Clay, Jha, Muller and Walsh2019; Tschofen et al., Reference Tschofen, Azevedo and Muller2019; Sergi et al., Reference Sergi, Adams, Muller, Robinson, Davis, Marshall and Azevedo2020a, Reference Sergi, Azevedo, Davis and Mullerb ) to monetize the impacts of SO2, NOx, and primary PM2.5. Considering emissions from 2014 to 2019, we calculate the avoided damages from the decline (i.e., less coal), rather than improvement (i.e., lower emission rates), of coal. Forecasting from 2020 to 2035, we determine possible benefits from further retirements in the coal fleet. We then compare the benefits to costs associated with the proposed policy interventions to assess the impact on social welfare.
The first policy examined in this study would provide financial assistance for coal communities through support for displaced workers – a policy with broad, bipartisan support (Mayer, Reference Mayer2022). We employ regression analyses that relate power plant and mining activity to employment. We monetize labor market impacts using wage data. Comparing the retrospective benefits from avoided damages to the costs of lost wages on a cumulative basis from 2015 to 2019, we find that the benefits far exceed the costs. Thus, we argue that there is an opportunity for policies to transfer financial resources to coal communities while still yielding large, positive national net benefits.
The second policy accelerates the removal of remaining coal-fired power plants via buyouts, a version of which currently takes place in Germany (Scott et al., Reference Scott, Thuy, Litz, Koenig and Ribansky2022; Tiedemann & Müller-Hansen, Reference Tiedemann and Müller-Hansen2023). First, we consider both a one-time buyout across the fleet, where the decision rule that informs our design compares the current book value of capital assets (RMI, 2022) or, alternatively, the cost of constructing substitute generation capacity (U.S. EIA, 2022) to the present value of prospective damage from forecasted future emissions. Then, we assess a series of buyouts over time through reverse auctions. The German design adjusts firms’ bids such that they are assessed as the cost per annual ton of CO2 removed from the retired power plants (Scott et al., Reference Scott, Thuy, Litz, Koenig and Ribansky2022). We extend this approach to consider several different bid adjustment mechanisms. Our analyses demonstrate considerable net benefits from compensating coal plants to retire early. The greatest returns on investment (ROI) accrue when prioritizing the removal of capacity with the highest damage per MW, which is best achieved in reverse auction schemes considering SO2 emissions or air pollution damages.
1.1. Background
1.1.1. Policy analysis framework
The U.S. government has long used BCA to evaluate impacts on social welfare resulting from the Clean Air Act (U.S. EPA, 1997; U.S. EPA’s Office of Air and Radiation, 2011). In a similar manner, this study estimates the benefits of less air pollution from coal to evaluate federal policy solutions supporting a swift and just transition. While benefiting many, the movement toward a cleaner energy economy in the U.S. drives substantial costs for the workers and industries dependent on coal. Our analysis demonstrates a possible path forward, where a transfer of resources could offset losses while maintaining large societal net benefits. In this sense, we frame the movement away from coal as a Kaldor–Hicks improvement, where society overall is better off, there are “winners” and “losers,” and financial transfers may offset costs for the “losers.” In principle, public policies can facilitate this transfer to yield a Pareto improvement.Footnote 2
1.1.2. Social costs of emissions from coal-fired power plants
Prior research shows the substantial contribution of power plants to air pollution and its associated social costs in the U.S. (Levy et al., Reference Levy, Hammitt, Yanagisawa and Spengler1999; Sundqvist, Reference Sundqvist2004; Muller et al., Reference Muller, Mendelsohn and Nordhaus2011). Some studies have focused on how damages vary by source (Levy et al., Reference Levy, Baxter and Schwartz2009; Cohon et al., Reference Cohon, Cropper, Cullen, Drake, English, Field and Greenbaum2010; Buonocore et al., Reference Buonocore, Dong, Spengler, Fu and Levy2014; Henneman et al., Reference Henneman, Choirat, Dedoussi, Dominici, Roberts and Zigler2023). Others have explored the heterogeneity of damage incurrence (Jaramillo & Muller, Reference Jaramillo and Muller2016; Penn et al., Reference Penn, Arunachalam, Woody, Heiger-Bernays, Tripodis and Levy2017; Thind et al., Reference Thind, Tessum, Azevedo and Marshall2019; Sergi et al., Reference Sergi, Azevedo, Davis and Muller2020b). Much recent work in the field has focused on the benefits of fossil fuel displacement (Siler-Evans et al., Reference Siler-Evans, Azevedo, Morgan and Apt2013; Lueken et al., Reference Lueken, Klima, Griffin and Apt2016; Brown et al., Reference Brown, Henze and Milford2017; Strasert et al., Reference Strasert, Teh and Cohan2019; Sergi et al., Reference Sergi, Adams, Muller, Robinson, Davis, Marshall and Azevedo2020a). This article contributes to the literature by assessing the net benefits of just transition policies that consider the avoided impacts of coal emissions.
Perhaps most similar to our work looking at retrospective damages is that of Holland et al. (Reference Holland, Mansur, Muller and Yates2020), who decomposed changes in annual damage from the power sector by several effects. We perform a similar analysis (with key differences outlined in Appendix B of the Supplementary Material) to isolate the cumulative benefits from coal’s decline, excluding those resulting from its improvement. Considering prospective damages, our work builds upon that of Mayfield (Reference Mayfield2022), who optimized the order of coal plant retirements based on future air pollution damages. Our article, however, weighs both the benefits and costs of bringing about coal plant retirements through financial compensation.
1.1.3. Social costs of unemployment
Many researchers have explored economic impacts related to the coal industry (Black et al., Reference Black, McKinnish and Sanders2005; Ivanova & Rolfe, Reference Ivanova and Rolfe2011; Deaton & Niman, Reference Deaton and Niman2012; Betz et al., Reference Betz, Partridge, Farren and Lobao2015; Lobao et al., Reference Lobao, Zhou, Partridge and Betz2016; Pollin & Callaci, Reference Pollin and Callaci2019). Our analysis of labor markets is most closely related to Weber (Reference Weber2020), who looked at the spatial distribution of coal mining-related losses, and Walker (Reference Walker2013), who concluded that the benefits from the 1990 Clean Air Act Amendments far outweighed foregone wages for workers at newly regulated plants. Methodologically, this study is similar to Mayfield et al. (Reference Mayfield, Cohon, Muller, Inês and Robinson2019), who compared the county-level employment benefits and environmental costs of natural gas development in Appalachia. To the best of our knowledge, this article is the first to examine and quantify the labor market impacts from coal’s recent decline.
1.1.4. Reverse auctions
The academic literature on reverse auctions is limited. Scott et al. (Reference Scott, Thuy, Litz, Koenig and Ribansky2022) and Tiedemann and Müller-Hansen (Reference Tiedemann and Müller-Hansen2023) assessed the first few rounds of Germany’s Coal Exit Act. Other authors have studied the ability of reverse auctions to encourage environmentally beneficial behavior (Thurston et al., Reference Thurston, Taylor, Shuster, Roy and Morrison2010; Boxall et al., Reference Boxall, Perger and Weber2013; Mayr et al., Reference Mayr, Schmidt and Schmid2014), but none of these focused on power plants. Related work proposed reverse auctions to close sub-critical coal (Caldecott & Mitchell, Reference Caldecott and Mitchell2014) but did not quantify the benefits of doing so. Our research is the first to look at the potential net benefits of coal plant buyouts in the U.S. and to assess the advantage of different bid evaluation procedures for competitive reverse auctions.
2. Methods
We succinctly discuss our methods in this section, but more details are in the Supplementary Material. We first review our damage modeling and then discuss the quantitative analyses of labor markets and paid decommissioning.
2.1. Avoided air pollution damages
2.1.1. Emissions data
Our empirical analysis begins by assembling emissions data, including SO2, NOx, and primary PM2.5 for coal-fired EGUs each year from 2014 to 2019. These data are obtained from the EPA’s Clean Air Markets Program Data (CAMPD) (U.S. EPA’s Clean Air Markets Division, 2022) and National Emissions Inventory (NEI) (U.S. EPA’s Office of Air and Radiation, 2018, 2022a).Footnote 3 As discussed in subsequent subsections, these data provide the basis for our retrospective and prospective damage assessments.
2.1.2. AP3 integrated assessment model
We use the AP3 IAM (Clay et al., Reference Clay, Jha, Muller and Walsh2019; Tschofen et al., Reference Tschofen, Azevedo and Muller2019; Sergi et al., Reference Sergi, Adams, Muller, Robinson, Davis, Marshall and Azevedo2020a, Reference Sergi, Azevedo, Davis and Mullerb ) to estimate the marginal damages (MDs) – in dollars-per-ton – of SO2, NOx, and primary PM2.5 emissions from coal-fired EGUs each year from 2014 to 2019.Footnote 4 The model first estimates baseline ambient PM2.5 and the associated mortality risk and monetary damage. AP3 employs a reduced complexity, Gaussian plume-based air quality model to estimate ambient PM2.5 in every county throughout the contiguous U.S. resulting from all emissions of criteria air pollutants from all sources nationally [also from the NEI (U.S. EPA’s Office of Air and Radiation, 2018, 2022a)]. AP3 calibrates predictions of baseline pollution levels using data from EPA ambient air quality monitors (U.S. EPA’s Office of Air and Radiation, 2022b).
Exposure to air pollution has several adverse health consequences, but we focus on premature mortality linked to long-term exposure to ambient PM2.5. Again, these damages account for most of those from air pollution (U.S. EPA’s Office of Air and Radiation, 2011), but this also ensures we avoid cases where morbidity leads to eventual death and, consequently, the double counting of impacts (Künzli et al., Reference Künzli, Medina, Kaiser, Quénel, Horak and Studnicka2001). AP3 employs dose–response (DR) functions from epidemiological cohort studies to connect increased exposure to PM2.5 with increased mortality risk. Equation (1) shows the form of the adult mortality DR function (Krewski et al., Reference Krewski, Jerrett, Burnett, Ma, Hughes, Shi and Turner2009):
Equation (1) estimates expected premature mortality ( $ \varDelta Mort $ ) from increased PM2.5 ( $ \Delta PM $ ) for the exposed population ( $ Pop $ ). The population data are age- and county-specific, provided by the Centers for Disease Control and Prevention’s (CDC’s) WONDER database (CDC, 2021). $ {y}_0 $ represents baseline age- and county-specific mortality rates, derived using data from the CDC (CDC, 2023). $ \beta $ is the statistically estimated parameter governing the change in mortality risk per unit of pollution. Our base case modeling utilizes the American Cancer Society cohort study’s estimate of $ \beta $ (Krewski et al., Reference Krewski, Jerrett, Burnett, Ma, Hughes, Shi and Turner2009), but our sensitivity analysis considers the higher coefficient reported in the most recent update to the Harvard Six Cities study (Lepeule et al., Reference Lepeule, Laden, Dockery and Schwartz2012). Infant mortality is assessed using the DR function from Woodruff et al. (Reference Woodruff, Parker and Schoendorf2006).
AP3 uses the value of a statistical life (VSL) to convert mortality risk to monetary units (Viscusi & Aldy, Reference Viscusi and Aldy2003; Cropper et al., Reference Cropper, Hammitt and Robinson2011). Federal agencies and academic researchers commonly use the VSL in the context of environmental policy analysis. This study uses the recommended VSL from the EPA (U.S. EPA’s National Center for Environmental Economics, 2014). Our sensitivity analysis considers an alternative, lower VSL from Mrozek and Taylor (Reference Mrozek and Taylor2002). The VSL is applied uniformly for all affected populations, and we adjust the VSL for inflation and national changes in income over time (Hammitt & Robinson, Reference Hammitt and Robinson2011; U.S. EPA’s Office of Air and Radiation and Office of Policy, 2016). See Supplementary Table A4 for the VSL values used herein.
Using AP3, we estimate specific MDs for each source, pollutant, and year. This is accomplished by adding a ton of emissions to the baseline and assessing the corresponding change in ambient PM2.5 concentrations, mortality, and damage. Total damages (and benefits) are computed by multiplying total emissions (and avoided emissions) from each coal-fired EGU by the matched MDs. This approach follows that of previous work employing the APEEP family of models (Muller et al., Reference Muller, Mendelsohn and Nordhaus2011; Jaramillo & Muller, Reference Jaramillo and Muller2016; Tschofen et al., Reference Tschofen, Azevedo and Muller2019).Footnote 5
2.1.3. Decomposition
We conduct a decomposition to differentiate retrospective emission changes driven by the decline and the improvement of coal-fired EGUs. We differentiate these effects because our policy analysis of worker compensation focuses on changes in jobs from declining coal industry activity rather than other influences – that is, progress leading to fewer workers producing the same output (Kolstad, Reference Kolstad2017). We define the decline effect to encompass decreases in output, facilities going offline, and conversion to another fuel source. This aligns with changes to heat input [from CAMPD (U.S. EPA’s Clean Air Markets Division, 2022)], the direct result of combustion creating pressurized steam that eventually powers a plant’s generator(s). Contrarily, the improvement effect encompasses emission rate changes that do not stem from fuel switching (e.g., increased pollution abatement).
We use the two-variable Marshall–Edgeworth decomposition depicted in Equation (2):
We estimate emission changes from the decline effect by allowing heat input to change ( $ \Delta h $ ) while keeping emission rates constant ( $ \overline{r} $ ) at the average between years. We isolate the improvement effect by keeping heat input constant ( $ \overline{h} $ ) and allowing emission rates to change ( $ \Delta r $ ).
2.1.4. Forecasting
Our prospective policy analysis requires a forecast of damages from coal to estimate the benefits of coal plant retirements. We use six years of historical data (2014–2019) to forecast emissions and MDs separately for SO2, NOx, and primary PM2.5 from the 250 coal-fired power plants remaining as of 2020. The forecast extends to 2035, aligning with the Biden administration’s pledge to create a carbon pollution-free power sector (GEM et al., 2022). Forecasting MDs and emissions separately allows us to disentangle two trends. First, emissions are generally decreasing as plants decline in use and improve emission rates. Conversely, MDs are increasing due to population and income growth (which affects the VSL) over time. We also forecast net generation from these power plants, using data reported by the U.S. Energy Information Administration (EIA) (U.S. EIA, 2023d), which is vital for understanding grid losses and energy security risks.
We employ an exponential smoothing state space modeling framework to construct the forecasts (Hyndman et al., Reference Hyndman, Koehler, Ord and Snyder2008). Exponential smoothing forecasts are based on past observations, with the influence of each point exponentially decreasing with age. State space models allow for flexibility in the specification of the error, trend, and seasonality components of the time series. The parametric structure of the model is selected via an iterative process that identifies the best-performing specification. Our emissions and net generation forecasts incorporate preannounced closures as of 2021 (U.S. EIA, 2023b). See Appendix C of the Supplementary Material for more details.
This process has some critical caveats that we cannot reconcile without a detailed plant-by-plant investigation. For example, coal plants may plan to switch fuel sources or employ emission control technologies or strategies, cutting their emissions in ways not captured in the 2014-to-2019 trends. They also may “unexpectedly” decrease their operations, reducing pollution and output. Still, some facilities scheduled to go offline may change their plans, which the data reveal is not an uncommon occurrence (U.S. EIA, 2023b).
2.1.5. Natural gas substitution offsetting benefits
Natural gas is among the most likely power sources to replace coal in any location. From 2015 (33%) to 2020 (41%), natural gas comprised the largest share of power generation in the U.S. (U.S. EIA, 2023b). This research assumes all coal is replaced by natural gas, which also emits SO2, NOx, and primary PM2.5, offsetting some gains from retired coal. However, natural gas has far lower emission rates than coal (U.S. EPA’s Clean Air Markets Division, 2022).Footnote 6 While natural gas also emits less CO2 than coal upon combustion, upstream methane leakage further contributes to GHG emissions. A recent study found that life cycle GHG intensities of natural gas can be on par with coal under certain scenarios (Gordon et al., Reference Gordon, Reuland, Jacob, Worden, Shindell and Dyson2023).Footnote 7 While estimates provided by the National Renewable Energy Laboratory suggest that natural gas is still notably better than coal (NREL, 2023), we model the “worst-case scenario” where natural gas and coal GHG damages are equal.
Using an alternative to the worst case described above, we also compute benefits from CO2 reductions assuming emissions-free alternative substitution. Benefits of avoided CO2 are modeled using the social cost of carbon (SCC), the year-specific discounted present values of the globally incurred stream of total damages due to one additional ton of CO2 (IWG, 2016, 2021). The default approach uses the SCC corresponding to a 3% social discount rate (SDR), but we also consider a 5% SDR and values corresponding to catastrophic climate change outcomes for sensitivity analyses. Finally, we differentiate domestic and international damages (Ricke et al., Reference Ricke, Drouet, Caldeira and Tavoni2018).
2.2. Costs of moving away from coal
2.2.1. Coal sector labor market analysis
We use ordinary least squares regression analysis to test for associations between coal industry activity and employment in the utility and mining sectors. Specifically, we use two-way fixed effects models (Wooldridge, Reference Wooldridge2010), as shown in Equation (3):
In Equation (3), $ y $ is the number of sectoral jobs in each county with coal activity ( $ c $ ) during each year ( $ t $ ), provided by the Bureau of Labor Statistics (BLS) (U.S. BLS, 2020). $ {x}_{1, ct} $ and $ {x}_{2, ct} $ are the variables of interest: coal-fired capacity and generation in the utility sector and number of mining contracts and quantity of coal sales in the mining sector; the data are from the EIA (U.S. EIA, 2023b, d ). $ {Z}_{ct} $ represents a vector of control variables, reviewed in Appendix B of the Supplementary Material. $ {\alpha}_c $ and $ {\gamma}_t $ are county and year fixed effects, respectively. $ {\varepsilon}_{ct} $ is the error term. $ {\beta}_1 $ and $ {\beta}_2 $ are the parameter estimates used in our subsequent labor market analysis. These coefficients represent the marginal effects of capacity, generation, contracts, and sales on jobs.Footnote 8 $ \theta $ represents a vector of fitted regression coefficients for the control variables.
To estimate the labor impacts of coal’s decline, we multiply the modeled marginal employment effects ( $ {\beta}_1 $ and $ {\beta}_2 $ ) by county-level changes in coal sector activity. Then, to facilitate a comparison of the monetary benefits from reduced emissions to the costs borne by workers in the coal industry, we monetize employment changes using lost wages paid to plant operators and miners differentiated by state (U.S. BLS, 2020). Our modeling likely overestimates these costs because we do not account for workers finding new jobs.Footnote 9 The social costs of job losses are typically lower than the job’s associated earnings (Bartik, Reference Bartik2015a, Reference Bartikb ) and can instead be considered as compensation lost during unemployment plus the impact of job loss on future earnings and employment possibilities (Haveman & Weimer, Reference Haveman and Weimer2015).Footnote 10 That said, quantifying gross job and wage losses in the industry helps illustrate the changing economic landscape in coal-dependent communities with often less economic diversity and is, therefore, the more prudent choice for our BCA.
2.2.2. Buyouts and reverse auctions
We compare the benefits (avoided forecasted damages) and costs (government expenditures) of coal-fired power plant buyouts or replacements in 2020. We set the buyout payment to operators at $650 thousand per MW, which aligns with fleetwide net book value (RMI, 2022). We identify natural gas capacity installation costs to be about $1.12 million per MW (U.S. EIA, 2022). We employ a 3% discount rate to express future cash flows in present value terms.
We also consider a reverse auction policy as an alternative to a one-time removal. In doing so, we mimic Germany’s Coal Exit Act, passed in July 2020 (Scott et al., Reference Scott, Thuy, Litz, Koenig and Ribansky2022; Tiedemann & Müller-Hansen, Reference Tiedemann and Müller-Hansen2023). The German design allows firms to submit bids, or prices per MW they would be willing to accept to decommission sooner than otherwise planned. The German design requires that the bids are lower than a maximum allowable bid. Then, the lowest bidders are awarded compensation until the round removes a prespecified aggregate capacity.
An additional feature of the German design is that each firm’s bid is subject to an adjustment factor that embodies its average annual CO2 emissions over the past 3 years, as shown in Equation (4):
The emission rate adjusted bid in Equation (4) is, effectively, the per-ton cost to the regulator of removing annual amounts of CO2 utilizing the auction. The final bid design provides an advantage for modern plants with higher capacity factors, driving more CO2 per unit of capacity. In contrast, it creates a disadvantage for older plants with lower capacity factors, lower CO2 per unit of capacity, and typically higher CO2 per unit of generation.Footnote 11
We experiment with several bid adjustment frameworks in our reverse auction analysis to jointly maximize avoided future damage and retained generation. We consider eight bid adjustment factors that use the following criteria: CO2 emissions, SO2 emissions, nearby population counts, and air pollution damage.Footnote 12 We normalize each criterion per unit of capacity and per unit of generation. Our focus is on evaluating the proposed adjustment factors rather than strategic behavior by firms, so we make two simplifying and admittedly restrictive assumptions. First, we assume that every coal plant opts into the reverse auction. In other words, all firms submit bids. Second, we assume all firms submit bids equal to the maximum allowable bid, which controls for would-be competition and instead allows for an assessment of adjustment factor performance. Our design features annual auctions from 2020 to 2034 with equal capacity retirement targets achieving a complete phaseout by 2035. We report all cash flows in present value terms with respect to 2020.
2.2.3. Other costs from coal’s decline
Like with any BCA, we must limit the scope of what is included in our analysis. Here, we focus on air pollution and the costs associated with the proposed policies. Given that this research shows the benefits substantially exceed the costs, we are less concerned with excluded benefits. These include but are not limited to fewer on-the-job mining accidents (National Safety Council, 2021) and improved property values from coal-to-gas switching (Rivera & Loveridge, Reference Rivera and Loveridge2022).
On costs, the contraction of the coal industry may affect other sectors. Prior evidence is mixed. Focusing on local effects, Weber (Reference Weber2020) found that the loss of one coal mining job actually led to a slight increase in non-coal jobs, while Black et al. (Reference Black, McKinnish and Sanders2005) found the opposite.Footnote 13 However, the Economic Policy Institute reports indirect job multipliers across the broader economy of 9.58 and 3.90 for the utility and mining sectors, respectively (Bivens, Reference Bivens2019).Footnote 14 Another cost resulting from the decline of coal is lost tax revenue, which can play a major role for local governments (Haggerty et al., Reference Haggerty, Haggerty, Roemer and Rose2018). We use data from Raimi et al. (Reference Raimi, Grubert, Higdon, Metcalf, Pesek and Singh2022) to determine rough estimates of $800 per GWh of fossil fuel-fired power generation and $3 per short ton of coal mined (see Supplementary Tables B29 and B30). Importantly, our study excludes costs that may result from existential threats to the well-being of coal-dependent communities, including, for example, increased “deaths of despair” (Boslett & Hill, Reference Boslett and Hill2022).
Another important cost to acknowledge is the loss of generation. On one hand, if market forces drive the decline of coal, there is effectively no loss because coal generation is replaced by a cheaper (and likely cleaner) alternative.Footnote 15 If, on the other hand, policies induce coal’s decline (e.g., via paid decommissioning), it is not clear that low-cost replacement capacity will be immediately available. As such, costs stemming from power shortages, disruptions, and energy insecurity may occur, and the value of lost load is far from negligible (Gorman, Reference Gorman2022). In light of these considerations, we incorporate costs to replace the coal fleet with natural gas generators in our prospective analysis into our BCA framework. Lastly, there is the loss of productive capital at retired coal-fired power plants to consider. However, there is evidence that decommissioned coal plants provide a unique opportunity for various clean energy solutions (Warren, Reference Warren2023); added value associated with repurposing these properties is possible.
3. Results
We organize results into three subsections. The first reports changes in damages from coal-fired EGUs between 2014 and 2019. The second reports labor market costs and retrospective net benefits, relevant to worker compensation policies. The third details the prospective benefits and costs, relevant to compensated decommissioning policies.
3.1. Benefits from coal’s decline
From 2014 to 2019, annual SO2 from coal EGUs decreased by nearly 70%. NOx and primary PM2.5 both decreased by more than 50%. (CO2 decreased by 37%.) Overall, coal’s decline accounted for more emission reductions than its improvement. Across the criteria air pollutants, the decline effect accounted for over 70% of the total decrease by 2019. (For CO2, nearly all emission reductions were due to decline rather than improvement.) Accordingly, the decline effect dominated the cumulative changes over time as plants went and stayed offline. Nevertheless, even year-over-year changes were mainly driven by coal’s decline; improvement seldom played a more prominent role. See Supplementary Figure B1 for percent changes in coal emissions by effect from 2015 to 2019 relative to 2014 and the previous year. Using AP3, we estimate that damages from criteria air pollution from coal-fired EGUs were $151 ($57.0 to $316)Footnote 16 billion in 2014. These damages were due to approximately 15,700 premature deaths from PM2.5 exposure.Footnote 17 By 2019, these damages decreased to $54.0 ($20.4 to $114) billion. Supplementary Table B2 reports annual damages.
Table 1 shows the benefits of avoided air pollution damages each year from 2015 to 2019 compared to a 2014 counterfactual (i.e., assuming conditions in 2014 held over the subsequent years). The five-year cumulative benefit from avoided criteria air pollution was $454 ($172 to $958) billion. Benefits from CO2 reductions were $90.6 ($26.6 to $262) billion, $9.96 ($0 to $39.4) billion of which accrued domestically and the rest internationally. However, as discussed above, we assume these benefits are entirely offset by upstream methane leakage. The movement away from coal [the benefits from the decline effect of $306 ($116 to $646) minus additional damages from natural gas of $5.75 ($2.17 to $12.1) billion] resulted in $300 ($113 to $634) billion in air quality benefits for the U.S., about two-thirds of the total.
Notes: Benefits are in billions of 2020 U.S. dollars. Added natural gas offsets some air quality benefits (see Supplementary Table B7) and all CO2 benefits, assuming a “worst-case scenario” where coal and natural gas life cycle GHG intensities are equivalent. See Supplementary Table B3 for an expanded version of Table 1, including avoided damages from CO2 as well as criteria air pollution, greenhouse gas, and global avoided damage totals assuming emissions-free alternative substitution. See Supplementary Tables B5 and B6 for lower and upper estimates, respectively.
These benefits were dominated by SO2, which exhibits high marginal damages (see Supplementary Table A7) and is released in much larger amounts when combusting coal relative to natural gas (see Supplementary Tables B1 and B7). SO2 accounted for 69% of decline benefits with emissions-free alternative substitution and a greater percentage with natural gas substitution; SO2 accounted for 91% of improvement benefits. Intuitively, the most significant contributions to benefits were in 2019 due to the accumulation of decreased production and increased abatement; however, much of the marginal progress occurred early in the assessed timeline. The greatest year-over-year gains were in 2015 and 2016 when natural gas prices fell steeply, several environmental policies were enacted, and SO2 control technology installations surged (Holland et al., Reference Holland, Mansur, Muller and Yates2020; U.S. EIA, 2023a, b ). See Supplementary Figure B2 for changes in coal damages by effect from 2015 to 2019 relative to 2014 and the previous year.
Figure 1 shows spatially disaggregated five-year benefits from decreased criteria air pollution from the decline of coal. Avoided damages from less SO2, NOx, and primary PM2.5 were primarily experienced throughout the eastern half of the U.S., where most coal damages occurred historically (Siler-Evans et al., Reference Siler-Evans, Azevedo, Morgan and Apt2013; Jaramillo & Muller, Reference Jaramillo and Muller2016; Thind et al., Reference Thind, Tessum, Azevedo and Marshall2019). The largest gains were in highly populated urban centers; the counties home to Chicago, Detroit, Pittsburgh, and Cleveland all experienced five-year benefits exceeding $3 billion.Footnote 18 More than 650 counties experienced five-year benefits surpassing $100 million. Nationwide, per capita benefits were $186. However, there was wide variability, ranging from more than $1,000 per person in six counties throughout Mississippi, West Virginia, Indiana, and Virginia to less than $4 per person in several counties in western states. While our focus is on coal’s decline, we also investigate the spatial benefits of its improvement (see Supplementary Figure B3). The geographic patterns are like those in Figure 1 but with lower total and per capita benefits. Notably, only 32 counties (about 1%) saw benefits from the improvement effect that exceeded those from the decline effect.
3.2. Labor market impacts and wage replacement policies
Our labor market analysis reveals significant associations between employment and economic activity in the coal industry. In the utility sector, we estimate marginal employment effects of 37.2 (6.11 to 68.2)Footnote 19 jobs per GW of coal capacity and 9.61 (1.30 to 17.9) jobs per TWh of coal generation. In the mining sector, we estimate marginal employment effects of 8.38 (4.19 to 12.6) jobs per mining contract and 38.9 (20.1 to 57.6) jobs per million short tons of coal sales. Supplementary Tables B8 and B9 present the fitted regression models.Footnote 20
Table 2 shows our estimates of labor market changes in the coal industry from 2015 to 2019 relative to the 2014 baseline. We show both annual job losses (year-over-year) and cumulative job-year losses. The latter compound over time since we assume that a worker losing a job in 2015 would have worked in 2016 and thereafter and that workers stay unemployed. Changes in coal-fired capacity and generation were associated with 26.9 (7.04 to 43.1)Footnote 21 thousand lost job-years. Changes in coal mining activity were associated with 53.2 (35.4 to 79.1) thousand lost job-years. Forgone wages in the utility sector were $3.14 ($0.822 to $5.02) billion. Those in the mining sector were $4.71 ($3.15 to $7.11) billion.
Sources: Capacity, generation, contracts, and sales changes are derived using data from the EIA (U.S. EIA, 2023b, d ).
Notes: ATotals represent variable-years (e.g., a one GW decrease in 2015 cumulates to a five GW-year decrease from 2015 to 2019). BAnnual jobs are job changes compared to the previous year. CJob-years are cumulative lost working years compared to 2014, assuming no re-employment. Wages are state- and year-specific. For coal variable data from 2014 to 2019, see Supplementary Table B20. For expanded versions of Table 2, see Supplementary Tables B21 (employment) and B23 (wages). See Supplementary Tables B22 and B25 for lower and upper estimates of coal employment and wage changes, respectively.
Figure 2 shows the spatial disaggregation of the five-year labor market costs from declining coal industry activity. Figure 2A shows lost wages in the utility sector. We find that 391 counties experienced job losses amounting to $3.20 billion in lost wages and that these counties intuitively reflect the location of coal plants (U.S. EIA, 2023b). Ten counties had costs exceeding $40 million, and more than 100 counties exceeded $10 million in lost wages. Our estimates indicate that the greatest losses manifested in counties that hosted large coal EGUs that decommissioned or converted to another fuel source in the latter half of the 2010s (U.S. EIA, 2023b). Thirty-three counties saw increased coal activity and corresponding jobs; these additional wages amounted to $63.2 million.
Figure 2B shows that lost wages in the mining sector occurred in counties within the Appalachian, Interior, and Western coal regions. All told, 134 counties incurred costs, with lost wages equal to $5.03 billion. However, nearly 40% of this was experienced in just eight counties. Notably, costs in Campbell County, Wyoming, were 50% more than those of the county with the second highest (Greene County, Pennsylvania), which lost more than twice the wages foregone in the third highest (Pike County, Kentucky).Footnote 22 Interestingly, 57 counties increased their coal mining output such that extra wages exceeded $300 million.
We next compare the benefits (from reduced emissions) and costs (from lost wages) associated with the decline of coal. The upshot of this comparison is that costs amounted to less than 3% of benefits. The net benefits of the movement away from coal in the U.S. were $293 billion. Using our low damage assumptions and the high-end employment impacts, net benefits were still $101 billion, with costs at 11% of benefits. Using the high damage assumptions and low-end employment impacts, net benefits were $630 billion, with costs at less than 1% of benefits.
Figure 2C shows that over 98% of U.S. counties experienced net benefits. This includes 410 counties that saw losses in the coal industry. Many of the 54 counties with net costs saw substantial losses in the mining sector, which accounted for 84% of foregone wages across these counties (see Supplementary Table B27 for the benefits and costs of counties with the greatest net losses). Especially evident in Figure 2C are net losses in counties in western coal mining states. A critical factor driving this pattern is the low level of air quality benefits in the West, as shown in Figure 1. This is further evident when normalizing net benefits by county populations (see Supplementary Figure B9).
We conclude this section by highlighting the potential for wage replacement and other policies to achieve a Pareto improvement. The cumulative avoided air pollution benefits clearly exceed the cumulative wage losses experienced from 2015 to 2019. Hence, the “winners” could compensate the “losers” at the level of lost wages, and society overall would still come out far ahead, with more than $290 billion in net benefits. This is a start but may fall short for localities faced with an existential threat from the changing energy economy; a more robust approach is warranted. To reinvigorate these coal-dependent communities, policies could replace the approximate $4.7 billion in lost tax revenue, estimated using tax revenue data from Raimi et al. (Reference Raimi, Grubert, Higdon, Metcalf, Pesek and Singh2022) and the five-year losses of 2.01 thousand TWh and 1.03 billion short tons of coal from Table 2 (see Supplementary Tables B29 and B30). Moreover, the federal government could invest an amount equal to indirect wage losses (on the order of tens of billions of dollars – see Supplementary Tables B31 and B32) toward vocational training, educational programs, or place-based policies for coal communities.
Notably, the air quality benefits modeled in this article are external to markets; communities that enjoy improved air quality do not receive actual cash benefits. Rather, the value associated with less PM2.5 exposure reflects the collective willingness to pay to avoid mortality risk embodied in the VSL. Thus, such policy interventions that compensate coal-dependent communities would need to procure revenue to enact such a transfer. Legislation is one funding vehicle; the Inflation Reduction Act (IRA) authorized hundreds of billions of dollars in federal funding for climate and energy investments over the next decade (Rep. Yarmuth, Reference Rep. Yarmuth2022). In fact, recent funding guidance specifies how coal communities can claim clean energy-related tax credits through the IRA (USDT, 2023). While likely to face political opposition, regulations designed to derive revenue from economic activity that produces negative externalities (such as oil and gas extraction or even fossil fuel-fired power production itself) would enhance efficiency while generating funds to support public policy solutions for coal communities during the energy transition.
3.3. Future damages and buyout policies
Our damage forecasts predict the U.S. will incur $694 ($89.4 to $4,330)Footnote 23 billion in damages from its coal-fired power plants through 2035. Damages from CO2 experienced abroad comprise an additional $558 ($91.4 to $2,940) billion. Assuming natural gas substitution (offsetting GHG gains entirely and criteria air pollution gains by an amount consistent with average emission rates) attenuates the benefit estimate to $589 ($81.8 to $3,670) billion. On the cost side of the ledger, at $650 thousand per MW, the net book value of the 271 GW in the coal fleet is $176 billion. Given these estimates, a buyout of the entire coal fleet in 2020 would have produced $413 billion in net benefits, amounting to a 235% ROI. That said, such a policy would have removed slightly more than a fifth of total U.S. capacity (U.S. EIA, 2023b) and a forecasted 13.6 (8.62 to 23.2) thousand TWh of electricity projected through 2035. Fully replacing this coal capacity with natural gas generators, costing about $1.12 million per MW, would cost about $304 billion, lowering net benefits to $286 billion and the ROI to 94% in the base case (see Supplementary Table C6).Footnote 24
Two factors deter a complete buyout approach. First, many real-world constraints limit buyouts or replacements (e.g., power system impacts or government budget constraints). The second, however, is an efficiency-based criterion: the government should only seek to remove capacity where the marginal benefits exceed the marginal costs. We find that, in the case of net book value buyouts (or generator replacements), benefits exceed costs on a per MW basis for 157 (or 128) of the 250 evaluated plants (see Supplementary Figure C4). These facilities comprise 62% (or 52%) of the coal fleet’s capacity and 73% (or 66%) of the forecasted net generation through 2035. They also account for 95% (or 91%) of forecasted damages. Buying out just these coal plants would result in net benefits of $452 (or $379) billion at a cost of $175 (or $158) billion.
Table 3, which shows the benefits and costs of partial buyouts that optimally achieve increasing percentages of net benefits, is designed to inform decision-makers limited by real-world constraints. The greatest ROIs can be achieved by prioritizing the removal of the most damage-intensive capacity (determined via ranking coal plants by decreasing marginal benefits). For example, decision-makers could achieve 25% of maximum net benefits by buying out or replacing just the most damaging 10.4 GW (note: removing the same group of plants achieves this goal for either policy expenditure scenario). Buying out these coal plants would yield net benefits of 17.6 times the costs; replacing them would yield net benefits of 9.77 times the costs.
Sources: Buyout costs consider net book value per MW (RMI, 2022). Replacement costs consider natural gas generator construction costs per MW (U.S. EIA, 2022).
Notes: Estimate is reported first. Percentage of total is reported second in parentheses. Monetary variables are in 2020 present value U.S. dollars. Buyouts and replacements are ordered by decreasing forecasted damage per unit of capacity through 2035 (see Supplementary Figure C4 for a visual). Buyouts and replacements are conducted until at least the portion of maximum net benefits specified (e.g., 25%) is achieved. Lost capacity is out of 271 GW. Lost generation is out of the forecasted 13.6 thousand TWh through 2035. Avoided damages are out of the forecasted $589 billion through 2035, which incorporates additional damage from natural gas substitution. Buyout policy costs are out of $176 billion for net book value payments, and replacement costs are out of $304 for natural gas generator construction costs. See Supplementary Table C7 for efficient buyouts considering emissions-free alternative (rather than natural gas) substitution.
Figure 3 depicts the results of the reverse auction analysis. Because an equal amount of capacity is retired each year, costs are insensitive to the different auction designs. Assuming maximum allowable bids of $650 thousand per MW (net book value) or $1.12 million per MW (generator replacement) results in maximum nominal costs of $176 or $304 billion divided over 15 years, $145 or $249 billion in present value for 2020 (see Supplementary Table C8). Figure 3A compares the forecasted annual damages each year resulting from the various auction designs and in the case of no intervention ($589 billion cumulatively). The gap between the latter and each option demonstrates avoided damages each year resulting from policy implementation. Figure 3B aggregates the benefits of each auction design (x-axis) and also considers the total remaining generation among remaining active plants (y-axis). As a reference point, the best possible outcome for avoided damages is $429 billion. This does not consider any bid adjustment factor but rather optimizes which plants exit each year to achieve the greatest avoided damages overall (see Supplementary Table C10).
While Figure 3A shows the substantial benefits of any reverse auction regardless of design, Figure 3B shows that outcomes vary considerably according to the selected bid adjustment factor. An outcome dominates another if it results in more avoided damages and retained generation: this corresponds to larger values on both axes. For example, Figure 3B shows that the German scheme of CO2 emissions per unit of capacity results in $355 billion in avoided damages and 5.60 thousand TWh in retained generation. This is dominated by four other bid adjustment factors: those defined in terms of SO2 emissions and monetary damages. (If emissions-free alternatives replace coal, the CO2 per unit of capacity scheme is only dominated by the damages per unit of capacity scheme, as shown in Supplementary Figure C6B.) If policymakers prefer a balance between avoided damages and retained generation, adjustments based on either SO2 emissions or monetary damages per unit of generation, rather than per unit of capacity, yield appealing outcomes. The policy would first target coal plants with higher impacts per unit of electricity. This offers a possible solution to a central problem with the German approach, which creates a disadvantage in the reverse auctions for older plants with typically higher emissions (and likely damages) per unit of generation (Scott et al., Reference Scott, Thuy, Litz, Koenig and Ribansky2022).Footnote 25
We note a few caveats to this analysis. The enactment of a long-term (through 2034) auction policy could perversely affect firms’ retirement decisions. It is highly improbable that any plant would simply choose to go offline, given that it could announce an intention to stay open and earn compensation to shut down. Second, significant annual retirements through reverse auctions may induce remaining coal plants to run differently (most likely, to run more), which could increase emissions and damages. Third, we do not model the effect of auction outcomes on grid operations. We consider the cost of replacing coal capacity, but we cannot take into account the complex and dynamic nature of the U.S. energy system. Serious consideration of a reverse auction policy by decision-makers would require further work, including but not limited to an assessment of equilibrium impacts. See Appendix C of the Supplementary Material for further discussion.
4. Conclusions
This study conducts both retrospective and prospective BCAs of the decline of coal-fired power generation in the U.S. We compare retrospective avoided damages to lost coal industry wages resulting from coal’s decline from 2014 to 2019. We find that the benefits ($300 billion) far exceeded the costs ($7.84 billion), indicating that wages could be replaced at a small fraction of net benefits (less than 3%). Net costs were highly concentrated in western coal mining counties, whereas benefits tended to occur in the highly populated eastern states, which are nearby and downwind from coal-fired power plants. The magnitude of the benefits compared to the costs suggests that, even after compensating workers, additional funding for other just transition policies, such as replacing the nearly $5 billion in lost tax revenue or investing the equivalent of spillover labor market costs (up to about $30 billion) to reinvigorate coal communities, would still yield positive net benefits. While the IRA subsidizes clean energy project investments in coal communities (USDT, 2023), the present analyses suggest a more robust and targeted solution, as suggested by experts and key stakeholders (Hanson, Reference Hanson, Kearney and Ganz2022; Ngo, Reference Ngo2023), is warranted.
Using the forecasted damages for remaining coal plants from 2020 to 2035, we find that buying out the coal fleet (at its net book value of roughly $176 billion) or replacing it with natural gas generators (at costs amounting to $304 billion) would result in large benefits ($589 billion). Buyouts (or replacements) focused on facilities where the marginal benefits exceed the marginal costs would maximize net benefits at $452 billion (or $379 billion), a 414% (or 240%) return on investment. Adopting a reverse auction program like that currently in Germany could facilitate the gradual removal of U.S. coal through a quasi-competitive process. However, we recommend bid adjustments based on SO2 emissions or, better yet, air pollution damages. Notably, the costs of an auction-based retirement policy would likely be far less than we suggest because participating firms may be willing to accept lower bids to guarantee a payout rather than weather difficult and uncertain market conditions. Alternatively, policymakers could catalyze competition and mitigate the impacts to the U.S. energy system by using a multipronged, holistic policy approach like the German policy, including possible forced closures and sufficient capacity planning (Scott et al., Reference Scott, Thuy, Litz, Koenig and Ribansky2022).
The movement away from coal in the U.S. is a polarizing subject. This study demonstrates the clear case for a swift but just energy transition. We use BCA to show that society could be far better off without coal while achieving the conditions of a Pareto improvement. There are critical points to emphasize. First, in either the retrospective or the prospective case, any transfer of financial resources will depend on a federal revenue stream since actual cash benefits do not accrue to communities experiencing improved air quality. As previously discussed, one strategy to generate funds would be to tax economic activities that produce negative externalities. Second, our baseline assumption is that natural gas replaces coal capacity. We further assume a worst-case scenario in which GHG reductions from coal are entirely offset by upstream methane leakage from natural gas (Gordon et al., Reference Gordon, Reuland, Jacob, Worden, Shindell and Dyson2023). The result of these assumptions is to attenuate benefits. This component of our analysis incorporates the costs of avoiding adverse power system impacts such as power shortages and disruptions. Specifically, we consider the costs of federally funded coal plant replacement.Footnote 26 This assumption, like many others in this research, tends to increase costs and lower net benefits. Our analysis shows that even with assumptions that tend to emphasize more costs, moving away from coal-fired power yields substantial social net benefits.
The overwhelmingly positive net benefits associated with the continued removal of coal capacity do not negate that there are families and communities whose livelihoods depend on coal. However, a cooperative path forward appears attainable. In April 2021, the United Mine Workers of America (UMWA) expressed willingness to support and participate in the transition toward a less polluting energy economy (UMWA, 2021). Crucially, the UMWA requested solutions and resources to help preserve coal communities. Our analysis can inform this discussion. We conclude by noting that our empirical estimates of both benefits and costs are provisional. However, the large and robust net social benefits associated with less coal-fired power generation suggest that carefully crafted policies can ensure a just transition for coal communities while clearing the air.
Supplementary material
The supplementary material for this article can be found at http://doi.org/10.1017/bca.2024.20.
Abbreviations
BLS, Bureau of Labor Statistics; CDC, Centers for Disease Control and Prevention; EIA, Energy Information Administration; EPA, Environmental Protection Agency; GEM, Global Energy Monitor; IWG, Interagency Working Group on Social Cost of Greenhouse Gases; NAS, National Academy of Sciences; NOAA, National Oceanic and Atmospheric Administration; NREL, National Renewable Energy Laboratory; RMI, Rocky Mountain Institute; USDT, United States Department of Treasury; UMWA, United Mine Workers of America.
Data availability statement
The datasets generated and/or analyzed for this article are available from the corresponding author upon reasonable request. Sample code developed for the study are available from the corresponding author upon reasonable request.
Acknowledgments
This work was supported by the National Energy Technology Laboratory (NETL) of the U.S. Department of Energy (DOE)(grants PO-5000-016-007 and PO-5000-016-009). It has not been formally reviewed by NETL. This document’s views, findings, and recommendations are solely those of the authors and may not represent those of the funders. We want to thank faculty members in the Department of Engineering and Public Policy at Carnegie Mellon University, particularly Destenie Nock and Peter Adams, for their comments and input. We would also like to thank Tim Skone of the DOE for comments and input. Additionally, we thank Michael Cohen and Ron Ryan of the EPA for providing data and information. Lastly, we thank the anonymous reviewers for their helpful comments on our original manuscript.
Author contribution
N.Z.M. secured project funding. L.R.D. and N.Z.M. designed the study. L.R.D. acquired, modeled, and analyzed the data. L.R.D. and N.Z.M. interpreted the results. L.R.D. drafted the manuscript. L.R.D. and N.Z.M. revised the manuscript.
Competing interest
The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this article.