1. Introduction
The seasonal occurrence of freezing conditions is an integral element of a region’s ecosystem processes, recreational activities, and economy. For example, freezing air temperatures T play a key role in the overwinter survival of many insects that must rely on external sources to provide their heat (Lee 1989; Bale and Hayward 2010). The primary driver of the interannual variability in seasonal transitions and length is regional seasonal T variability (McCabe et al. 2015). Across much of North America a decrease in the number of days when minimum daily T falls below 0°C, known as “frost” days, has been noted for the period 1951–2003 (Alexander et al. 2006). McCabe et al. (2015) examined daily minimum temperature data for the conterminous United States (CONUS) for the period 1920–2012 from the Global Historical Climatology Network and noted earlier spring final frost dates after about 1983, with a change to later fall freeze most noticeable after about 1993.
Other changes in seasonal metrics over North America have occurred. Kunkel et al. (2004) analyzed daily temperature observations from 1980 to 2000 across the contiguous United States and found increases in frost-free season length of approximately 1 week. Contraction of the frozen season has been concurrent with a shift toward earlier spring thaw across much of North America (Schwartz et al. 2006; Wang et al. 2011). Declines in frozen season length and earlier spring thaw are known responses to warming, which across the United States has been strongest and most extensive in spring (Mutiibwa et al. 2015). Advances in the timing of spring thaw have exceeded the delay in autumn freeze-up across most of North America, possibly owing to feedbacks involving losses in snow (Kim et al. 2015). Snow-cover decreases across North America from 1972 to 2011 were greatest in spring and summer, with no detectable or consistent trend in fall snow cover. The duration of the snow season (first autumn snowfall to last spring snowfall) declined by 5.3 days decade−1 from 1972/73 to 2007/08, driven primarily by an earlier season end in spring (Choi et al. 2010). Snowfall has declined sharply across the western United States (Kunkel et al. 2009), likely associated with recent spring season warming. Advances in the timing of spring thaw, however, are not ubiquitous. Ault et al. (2015) reported that across the United States in recent decades, spring onset is not advancing uniformly and that later spring thaw dates have occurred over the northwestern Cascades from 1979 to 2013. They further suggested that interannual to decadal variations appear to pace regional trends.
The trends are expected to continue. Meehl et al. (2004) examined possible future regional changes in frost days in a global coupled model and found that patterns of relative changes of frost days are indicative of regional-scale atmospheric circulation changes that affect nighttime minimum temperatures. An analysis of statistically downscaled model outputs (with bias correction) between historical (1950–2005) and late twenty-first-century (2071–2100) periods suggested that leaf out (an indicator of spring onset) is projected to shift earlier by 22.3 days across the conterminous United States by the end of the century (Allstadt et al. 2015). Simulations with coupled atmosphere–ocean general circulation models (AOGCMs) indicate that temperature increases over high latitudes will exceed those at low latitudes (Holland and Bitz 2003), with this arctic amplification influenced by declines in sea ice (Serreze et al. 2009) and snow cover (Vavrus 2007).
In this study, we use 2-m T drawn from outputs of the North American Regional Climate Change Assessment Program (NARCCAP; Mearns et al. 2007, 2009) and from atmospheric reanalysis to examine likely changes in freezing days ΔFD, defined here as days with daily average temperature at or below 0°C, between baseline (1971–2000) and midcentury (2041–70) periods across North America. We also examine influences on ΔFD and its spatial patterns along with associated changes in the timing of spring thaw and autumn freeze across the region.
2. Data and methods
a. RCM and reanalysis datasets
Daily gridded T estimates for 30-yr time slices in recent past and mid-twenty-first-century periods were drawn from regional climate model (RCM) outputs. In the NARCCAP program boundary conditions for six RCMs were provided by four AOGCMs for 30 yr of baseline climate (1971–2000) and 30 yr of a future climate (2041–70) forced by the IPCC Special Report on Emissions Scenarios (SRES) A2 (differentiated world) emissions scenario. Under this scenario, CO2 levels are projected to be 490 ppm in 2040, increasing to 635 ppm by 2070 (CMIP5 2016). A suite of 11 GCM–RCM pairings was available for analysis. NARCCAP outputs have been used to examine projections for extreme precipitation events (Gutowski et al. 2010) and likely future changes in T and precipitation across the northeastern United States (Rawlins et al. 2012; Fan et al. 2015). The Hadley Centre GCM uses a 360-day calendar. For the HadCM3–MM5 and HadCM3–HRM3 pairs we linearly interpolated values for missing days to a 365-day data series. The six RCMs participating in NARCCAP have different native grids. Analysis of RCM outputs frequently requires spatial interpolation of the data from the model’s native grid to a common one. We interpolated daily T for each GCM–RCM pair for each year to a 0.5° grid using an inverse-distance-weighted spatial interpolation method described by Willmott et al. (1985). The method is based on the original two-dimensional algorithm of Shepard (1968). For each GCM–RCM pair we then generated daily climatological T for both the 30-yr NARCCAP “baseline” period and the 30-yr midcentury “future” period on the 0.5° grid. An 11-member ensemble mean daily climatological T was then produced by averaging T values over the GCM–RCM pairs. Hereafter,
Biases in baseline T estimates will negatively affect the derived change estimates that are based on exceedance of defined thresholds such as freezing days FD. The NARCCAP models exhibit a slight cool bias across North America, though two of the six RCMs have a warm bias, particularly over Canada (Mearns et al. 2012). While observed meteorological station density is relatively high across the United States, coverage is low enough over areas of northern Canada to limit confidence in spatial and seasonal variations in T, and thus FD if only station data are used. A combination of observations and model assimilation known as atmospheric reanalysis can be useful in estimating daily long-term climatological T over broad regions such as North America.
To assess robustness in the spatial pattern and magnitude in ΔFD we used two reanalysis T datasets, from which respective
b. Derived statistical metrics
Our analysis centers on ΔFD obtained between the baseline and future periods. For each NARCCAP GCM–RCM pair, FD was determined from daily climatological T for both the baseline and the future periods. Gridded estimates of
We also determined likely future changes in the timing of spring thaw ST and autumn freeze AF from each set of
Characteristics of the seasonal T cycle that influence ΔFD, ΔST, and ΔAF were also examined. Baseline annual temperatures (gridded
3. Projected decreases in frequency of freezing days
a. Spatial patterns
Seasonal changes in 2-m T captured by the NARCCAP ensemble average

Magnitude of change in T for (a) winter (DJF), (b) spring (MAM), (c) summer (JJA), and (d) autumn (SON) between periods 1971–2000 and 2041–70, derived from the ensemble mean T from the NARCCAP models. Daily T outputs on the native RCM grids for each GCM–RCM pairing were interpolated to a common 0.5°-resolution grid prior to averaging on each grid. The daily 30-yr mean
Citation: Journal of Climate 29, 19; 10.1175/JCLI-D-15-0802.1

Magnitude of change in T for (a) winter (DJF), (b) spring (MAM), (c) summer (JJA), and (d) autumn (SON) between periods 1971–2000 and 2041–70, derived from the ensemble mean T from the NARCCAP models. Daily T outputs on the native RCM grids for each GCM–RCM pairing were interpolated to a common 0.5°-resolution grid prior to averaging on each grid. The daily 30-yr mean
Citation: Journal of Climate 29, 19; 10.1175/JCLI-D-15-0802.1
Magnitude of change in T for (a) winter (DJF), (b) spring (MAM), (c) summer (JJA), and (d) autumn (SON) between periods 1971–2000 and 2041–70, derived from the ensemble mean T from the NARCCAP models. Daily T outputs on the native RCM grids for each GCM–RCM pairing were interpolated to a common 0.5°-resolution grid prior to averaging on each grid. The daily 30-yr mean
Citation: Journal of Climate 29, 19; 10.1175/JCLI-D-15-0802.1
Maps of ΔFD calculated from

The ΔFD drawn from
Citation: Journal of Climate 29, 19; 10.1175/JCLI-D-15-0802.1

The ΔFD drawn from
Citation: Journal of Climate 29, 19; 10.1175/JCLI-D-15-0802.1
The ΔFD drawn from
Citation: Journal of Climate 29, 19; 10.1175/JCLI-D-15-0802.1

Changes in the frequency of freezing days ΔFD derived from (a) NARCCAP, (b) NARR, (c) WFD, and (d) a uniform 2.5°C warming applied to daily
Citation: Journal of Climate 29, 19; 10.1175/JCLI-D-15-0802.1

Changes in the frequency of freezing days ΔFD derived from (a) NARCCAP, (b) NARR, (c) WFD, and (d) a uniform 2.5°C warming applied to daily
Citation: Journal of Climate 29, 19; 10.1175/JCLI-D-15-0802.1
Changes in the frequency of freezing days ΔFD derived from (a) NARCCAP, (b) NARR, (c) WFD, and (d) a uniform 2.5°C warming applied to daily
Citation: Journal of Climate 29, 19; 10.1175/JCLI-D-15-0802.1
The spatial pattern in ΔFD obtained using NARCCAP

Shaded areas where FDs are present in the baseline period but absent in the future period based on the 30-yr means from WFD.
Citation: Journal of Climate 29, 19; 10.1175/JCLI-D-15-0802.1

Shaded areas where FDs are present in the baseline period but absent in the future period based on the 30-yr means from WFD.
Citation: Journal of Climate 29, 19; 10.1175/JCLI-D-15-0802.1
Shaded areas where FDs are present in the baseline period but absent in the future period based on the 30-yr means from WFD.
Citation: Journal of Climate 29, 19; 10.1175/JCLI-D-15-0802.1

The ΔFD along south–north transects through the study region drawn from the WFD-based mapping of ΔFD as shown in Fig. 3c.
Citation: Journal of Climate 29, 19; 10.1175/JCLI-D-15-0802.1

The ΔFD along south–north transects through the study region drawn from the WFD-based mapping of ΔFD as shown in Fig. 3c.
Citation: Journal of Climate 29, 19; 10.1175/JCLI-D-15-0802.1
The ΔFD along south–north transects through the study region drawn from the WFD-based mapping of ΔFD as shown in Fig. 3c.
Citation: Journal of Climate 29, 19; 10.1175/JCLI-D-15-0802.1

(a)–(c) The ΔFD and mean annual T for all grid cells across the study region based on data from NARCCAP, NARR, and WFD, respectively. (d)–(f) The ΔFD for all grid cells across the study region binned by mean annual T and rate of change in climatological daily T (
Citation: Journal of Climate 29, 19; 10.1175/JCLI-D-15-0802.1

(a)–(c) The ΔFD and mean annual T for all grid cells across the study region based on data from NARCCAP, NARR, and WFD, respectively. (d)–(f) The ΔFD for all grid cells across the study region binned by mean annual T and rate of change in climatological daily T (
Citation: Journal of Climate 29, 19; 10.1175/JCLI-D-15-0802.1
(a)–(c) The ΔFD and mean annual T for all grid cells across the study region based on data from NARCCAP, NARR, and WFD, respectively. (d)–(f) The ΔFD for all grid cells across the study region binned by mean annual T and rate of change in climatological daily T (
Citation: Journal of Climate 29, 19; 10.1175/JCLI-D-15-0802.1
The pattern in Fig. 3a follows from the averaging of climatological T over the available NARCCAP model GCM–RCM pairs. It represents the transient mean response to GHG concentration increases present in the A2 emissions scenario used in the simulations. The pattern in Figs. 3b,c estimated using the two reanalysis datasets reflects the changes arising through use of an ensemble of models and the improved initial fields of
b. Influences on ΔFD spatial variations
While seasonal warming clearly plays a role, other aspects of regional climate further explain the spatial patterning in ΔFDs. Spatial variations shown in Figs. 3a–d are related to the rate of change in climatological daily T near the time of spring thaw
The spatial pattern and magnitude in ΔST and ΔAF provide additional insights into the anticipated future changes. Shifts to earlier spring thaw ΔST are found across much of the central and western United States (Figs. 7a,b), a result consistent with but larger in magnitude than recent observed changes for the Northern Hemisphere (McCabe et al. 2015). Differences between ΔST and ΔAF (Fig. 8) suggest that ΔST will exceed ΔAF over parts of the central and western United States. However, over much of northern Canada that tendency is reversed, particularly west of Hudson Bay. Across the conterminous United States the T trend (1895–2015) is 40% greater in spring compared to autumn. The ΔST and ΔAF rates are of similar magnitude to recent declines in snow season length, which averaged 5.3 days decade−1 between the winters of 1972/73 and 2007/08 (Choi et al. 2010).

Change in the timing of (a) spring thaw ΔST and (b) autumn freeze ΔAF. Gridded timing changes derived as the difference
Citation: Journal of Climate 29, 19; 10.1175/JCLI-D-15-0802.1

Change in the timing of (a) spring thaw ΔST and (b) autumn freeze ΔAF. Gridded timing changes derived as the difference
Citation: Journal of Climate 29, 19; 10.1175/JCLI-D-15-0802.1
Change in the timing of (a) spring thaw ΔST and (b) autumn freeze ΔAF. Gridded timing changes derived as the difference
Citation: Journal of Climate 29, 19; 10.1175/JCLI-D-15-0802.1

Difference between the change in timing of spring thaw ΔST and change in timing of autumn freeze ΔAF as shown in Fig. 7. Gridded differences defined as the absolute value of ΔST − ΔAF. A positive difference indicates spring thaw advance exceeds autumn freeze delay.
Citation: Journal of Climate 29, 19; 10.1175/JCLI-D-15-0802.1

Difference between the change in timing of spring thaw ΔST and change in timing of autumn freeze ΔAF as shown in Fig. 7. Gridded differences defined as the absolute value of ΔST − ΔAF. A positive difference indicates spring thaw advance exceeds autumn freeze delay.
Citation: Journal of Climate 29, 19; 10.1175/JCLI-D-15-0802.1
Difference between the change in timing of spring thaw ΔST and change in timing of autumn freeze ΔAF as shown in Fig. 7. Gridded differences defined as the absolute value of ΔST − ΔAF. A positive difference indicates spring thaw advance exceeds autumn freeze delay.
Citation: Journal of Climate 29, 19; 10.1175/JCLI-D-15-0802.1
Climatological T plots of

Daily climatological
Citation: Journal of Climate 29, 19; 10.1175/JCLI-D-15-0802.1

Daily climatological
Citation: Journal of Climate 29, 19; 10.1175/JCLI-D-15-0802.1
Daily climatological
Citation: Journal of Climate 29, 19; 10.1175/JCLI-D-15-0802.1
Air temperature variations near the time of spring thaw are influenced by modifications due to a number of factors including water phase transitions involving, for example, snowmelt and evaporation. The rate of change in sun angle may also play a role. Put simply, areas where temperatures rise relatively slowly in spring will experience a greater advance in the timing of spring thaw for any given amount of future warming. The seasonality of surface feedbacks involving land snow-cover disappearance is expected to cause warming at differing rates. As mentioned above, freezing days will decrease most in areas where mean annual temperature is close to the freezing point. Snow–albedo feedbacks, which should be expressed in the models, are another obvious influence. Northern areas that do not lose much snow cover are far less susceptible to strong feedback-induced warming, and thus large FD declines. In their study using a coupled GCM, Meehl et al. (2004) suggested that patterns of the future change in frost days depended partly on regional changes in circulation. However, we note considerable decreases in FD across the western United States under the uniform 2.5°C warming (Fig. 3d). Interestingly, over much of western Canada warming captured by ensemble mean T is greater in autumn compared to spring (Fig. 1). This differential warming may explain ΔAF exceeding ΔST across much of Canada. Sea ice losses simulated in the driving GCMs represent a potential influence on future autumn warming across the high latitudes (Serreze et al. 2009).
The connection between regional patterns in ΔFD and climatological T variations near the time of spring thaw are further illustrated by applying a uniform 2.5°C warming to observed normal (1971–2000) data for a series of stations in a roughly north–south orientation in the northeastern United States. The daily climatological T for each station is shown in Fig. 10. Applying a uniform warming to each time series leads to ΔST exceeding ΔAF (Fig. 11). This comparison clearly shows how ΔST, ΔAF, and ΔFD are correlated with annual temperature and the rate of change in T near the time of spring thaw. In other words, each of the three metrics increases in magnitude moving from north to south through this region. Similarly, differences in

Daily mean T normals (1971–2000) from first-order weather stations in the northeastern United States. Numbers in parentheses indicate the station locations shown on the map in Fig. 11. Mean annual temperatures cool sequentially from Hartford (1, cyan) to Amherst (2, blue), Bennington (3, green), Rutland (4, red), and Caribou (5, black).
Citation: Journal of Climate 29, 19; 10.1175/JCLI-D-15-0802.1

Daily mean T normals (1971–2000) from first-order weather stations in the northeastern United States. Numbers in parentheses indicate the station locations shown on the map in Fig. 11. Mean annual temperatures cool sequentially from Hartford (1, cyan) to Amherst (2, blue), Bennington (3, green), Rutland (4, red), and Caribou (5, black).
Citation: Journal of Climate 29, 19; 10.1175/JCLI-D-15-0802.1
Daily mean T normals (1971–2000) from first-order weather stations in the northeastern United States. Numbers in parentheses indicate the station locations shown on the map in Fig. 11. Mean annual temperatures cool sequentially from Hartford (1, cyan) to Amherst (2, blue), Bennington (3, green), Rutland (4, red), and Caribou (5, black).
Citation: Journal of Climate 29, 19; 10.1175/JCLI-D-15-0802.1

Change in frequency of freezing days and in ST and AF timing (days) estimated by applying a warming of 2.5°C each day of the year to the climatological T shown in Fig. 10.
Citation: Journal of Climate 29, 19; 10.1175/JCLI-D-15-0802.1

Change in frequency of freezing days and in ST and AF timing (days) estimated by applying a warming of 2.5°C each day of the year to the climatological T shown in Fig. 10.
Citation: Journal of Climate 29, 19; 10.1175/JCLI-D-15-0802.1
Change in frequency of freezing days and in ST and AF timing (days) estimated by applying a warming of 2.5°C each day of the year to the climatological T shown in Fig. 10.
Citation: Journal of Climate 29, 19; 10.1175/JCLI-D-15-0802.1
4. Summary and conclusions
Daily 2-m T from the NARCCAP models was used to assess likely changes in seasonal temperatures, freezing days, and thaw timings by midcentury across North America. Averaging the daily 30-yr climatological T across the 11 GCM–RCM pairs minimizes the unwanted effects of individual model outliers, allowing us to elucidate the underlying change patterns that arise as a result of climatic warming. We expect that the analysis and results drawn from the NARCCAP, NARR, and WFD datasets used here represent an improvement over direct GCM outputs in two ways. First, dynamical downscaling by RCMs has been demonstrated to be more accurate in simulating climate than in GCMs, particularly in areas of strong topographic relief (Gao et al. 2011; Elguindi and Grundstein 2013). Second, errors in baseline climate model temperatures were ameliorated using the delta method of bias correction. The results of this study reflect the degree of warming projected by the RCMs forced with boundary conditions from the associated GCM. Averaging the model temperatures over the ensemble members helps to reveal the mean temperature response to rising GHGs that largely controls the magnitude and spatial pattern in ΔFD.
Our results suggest that large parts of the United States, particularly western areas, will experience considerable declines in freezing days. The frequency of freezing days will decrease by as much as 90 days across parts of the United States and coastal western Canada. The greatest decreases can be expected near the southern border of the part of the continent currently experiencing seasonal freezing conditions. Changes generally will be greatest in areas of western North America with annual mean T between 2° and 6°C. Locally higher declines can be expected in regions where climatological daily temperatures tend to rise more gradually near the time of spring thaw. Across parts of the western and central United States spring thaw will advance more than autumn freeze will delay, with the opposite trend likely to occur across much of Canada. Climate model projections of temperature changes related to snow processes and associated snow–albedo feedbacks carry large uncertainties. By extension, it is reasonable to assume that confidence in future decreases in freezing day frequency across the higher elevations in western North America is lower there than over other parts of the continent. The frequency of freezing days represents just one of several useful temperature-based metrics that can be derived from climate model simulation outputs—for example, heating and cooling degree days or the number of extreme heat events. Continued development of models capable of accurate simulations of surface climate at higher spatial scales should improve projections of spatial variations and local impacts of future changes in seasonal transitions and freezing conditions.
Acknowledgments
We wish to thank the North American Regional Climate Change Assessment Program (NARCCAP) for providing the data used in this paper. NARCCAP is funded by the National Science Foundation (NSF), the U.S. Department of Energy (DOE), the National Oceanic and Atmospheric Administration (NOAA), and the U.S. Environmental Protection Agency (EPA) Office of Research and Development. We also thank the three anonymous reviewers for their constructive comments on the earlier version of the manuscript. RSB was supported by the Department of the Interior Northeast Climate Science Center, Grant G12AC00001 from the United States Geological Survey. The content of the paper is solely the responsibility of the authors and does not necessarily represent the views of the Northeast Climate Science Center or the USGS. This manuscript is submitted for publication with the understanding that the United States government is authorized to reproduce and distribute reprints for governmental purposes.
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