Introduction
The radiocarbon (14C) content of tree rings is central to the reconstruction of atmospheric 14C concentrations, reaching from the present (post)-nuclear-testing-era (e.g., Hua et al. Reference Hua, Turnbull, Santos, Rakowski, Ancapichún, De Pol-Holz, Hammer, Lehman, Levin, Miller, Palmer and Turney2022) back to New Zealand Kauri trees around 42,000 years ago (Cooper et al. Reference Cooper, Turney, Palmer, Hogg, McGlone, Wilmshurst, Lorrey, Heaton, Russell, McCracken, Anet, Rozanov, Friedel, Suter, Peter, Muscheler, Adolphi, Dosseto, Faith and Zech2021). With the increased availability of high-precision AMS 14C measurements, the available tree-ring 14C database is rapidly expanding and the question regarding the relationship between the 14C content archived in the cellulose of tree rings and the 14CO2 content of the free atmosphere thus becomes increasingly important. A better understanding of how environmental information is recorded and archived by trees is also important for the interpretation of fluctuations in the relative abundances of stable isotopes (2H/H, 13C/12C, and 18O/16O) and in width or density of tree rings in paleoclimatic studies (e.g., Cernusak and Ubierna Reference Cernusak, Ubierna, Siegwolf, Brooks, Roden and Saurer2022; McCarroll and Loader Reference McCarroll and Loader2004; Zhang et al. Reference Zhang, Linderholm, Gunnarson, Björklund and Chen2016). The atmospheric testing of nuclear weapons in the 1950s and early 1960s has created a unique atmospheric 14C tracer signal that was archived globally in trees growing under natural conditions and that now can be used to study the properties of tree rings as recorders of atmospheric and environmental information.
Grootes et al. (Reference Grootes, Farwell, Schmidt, Leach and Stuiver1989) used the large, rapid increase in atmospheric 14CO2 of 1963, caused by atmospheric testing of nuclear weapons, to show that 14C of stem cellulose of a Sitka spruce (Picea sitchensis [Bong.] Carr.) from the US Pacific coast followed the atmospheric 14C increase with an apparent delay of only 5 to 6 weeks. A rapid, but somewhat delayed, response was also apparent in a White oak (Quercus alba L.) from Oregon, USA (Cain et al. Reference Cain, Griffin, Druffel-Rodriguez and Druffel2018), and in a Scots pine (Pinus sylvestris L.) from central Norway (Svarva et al. Reference Svarva, Grootes, Seiler, Stene, Thun, Værnes and Nadeau2019). The difference between the increase in 14C content in the atmosphere and that in subannual wood cellulose samples, apparent in both evergreen (Grootes et al. Reference Grootes, Farwell, Schmidt, Leach and Stuiver1989; Svarva et al. Reference Svarva, Grootes, Seiler, Stene, Thun, Værnes and Nadeau2019) and deciduous (Cain et al. Reference Cain, Griffin, Druffel-Rodriguez and Druffel2018) tree species, may have several causes: (1) a difference between the local free atmosphere and the zonal atmospheric reference record, (2) the use of older non-structural carbon (NSC) generated by earlier photosynthesis, and (3) photosynthesis (partly) taking place in the atmospheric boundary layer, which is influenced by photosynthesis, plant respiration, and by soil CO2 from the decay of soil organic matter, instead of in the free atmosphere. The latter two causes create a “memory” of prior changes in atmospheric 14C concentration in the tree ring cellulose that is also important for paleo-environmental studies, because it involves the tree and its local ecosystem.
The measurement of radiocarbon content in the rings of years 1952–1965 of a Trondheim Scots Pine at subannual resolution has been reported in Svarva et al. (Reference Svarva, Grootes, Seiler, Stene, Thun, Værnes and Nadeau2019). We repeated with improved precision the 1989 measurements of the Washington Sitka spruce on the original sample material at the National Laboratory for Age Determination, Trondheim, Norway. Our aim is to reanalyze the discrepancies between the atmospheric 14C increase for the years 1962–1964 and that of cellulose of subannual increments of the coniferous Sitka spruce and Scots pine as well as of the Oregon oak of Cain et al. (Reference Cain, Griffin, Druffel-Rodriguez and Druffel2018).
Material and methods
Sample description
The samples used are from subannual sections of tree rings. For each tree, the rings from 1962, 1963, and 1964 were sliced into the largest practical number of subannual sections, depending on the width of the ring. The cutting precision is important for the results. Svarva et al. (Reference Svarva, Grootes, Seiler, Stene, Thun, Værnes and Nadeau2019) compared two cores of subannual increments from the same tree and found that difficulties in following the curved ring boundaries could lead to some material of the previous or next year being incorporated in the first or last increment. Each increment is then assigned to a growing period using a model of the local ring width growth curve.
Trondheim pine: The tree is a Scots pine (Pinus sylvestris) from Trøndelag, central Norway at 63º16'N, 10º27'E and at an elevation of 134 m a.s.l. The tree started its growth in the 1920s in relatively open canopy conditions. Eight increments were sampled from each ring and holocellulose was prepared from each increment. The sampling, assignment of increments to a growing period, pretreatment, and AMS measurements are detailed in Svarva et al. (Reference Svarva, Grootes, Seiler, Stene, Thun, Værnes and Nadeau2019).
Washington spruce: This Sitka spruce (Picea sitchensis) grew in Quillayute, Washington state, USA (47º57’N, 124º33'W). Ten increments were sampled from each ring and the sampling and assignment of increments to a growth period are described in Grootes et al. (Reference Grootes, Farwell, Schmidt, Leach and Stuiver1989). Surplus material from these ring increments has been stored since the 1980s. To reduce the measurement uncertainty, all increments, except the last increment of 1964 for which no material was left, were prepared to holocellulose and remeasured at the National Laboratory for Age Determination using methods described in Seiler et al. (Reference Seiler, Grootes, Haarsaker, Lélu, Rzadeczka-Juga, Stene, Svarva, Thun, Værnes and Nadeau2019) and Nadeau et al. (Reference Nadeau, Værnes, Svarva, Larsen, Gulliksen, Klein and Mous2015).
Oregon oak: The sampling, pretreatment, and AMS measurement of the Oregon white oak (Quercus alba) are described in Cain et al. (Reference Cain, Griffin, Druffel-Rodriguez and Druffel2018). Six to 12 increments were sampled from each ring and pretreated to holocellulose. The tree grew in western Oregon, USA (45ºN), ca. 300 km south of the Washington spruce. The timing of the growth of the Oregon oak samples has been re-evaluated in our analysis from that of the original study (Cain et al. Reference Cain, Griffin, Druffel-Rodriguez and Druffel2018). Instead of assuming a linear growth throughout the season based on ring mass, a polynomial, S-curve, growth function based on ring width was fitted to the estimates that were made for the Washington spruce. This changes the timing of the Oregon oak growth (Figure 1), especially in 1963, when ring growth now ends before the maximum of the bomb spike. Although this new timing estimate does not take into account the exact climate where the white oak grew, nor the species of tree, it does capture the changing rate of tree growth that occurs through a season.

Figure 1. Period of cellulose deposition per increment in 1963 tree ring using an S-shaped growth curve for the (a) Trondheim pine, (b) Washington spruce, and (c) Oregon oak, where the diamonds indicate the midpoint of the timing used in Cain et al (Reference Cain, Griffin, Druffel-Rodriguez and Druffel2018).
Sample preparation and AMS 14C analysis of the Washington spruce remeasurements
Each subannual sample was pretreated with an adaptation of the BABAB (base-acid-base-acid-bleach) protocol (Khumalo et al. Reference Khumalo, Svarva, Zurbach and Nadeau2024; Němec et al. Reference Němec, Wacker, Hajdas and Gäggeler2010; Seiler et al. Reference Seiler, Grootes, Haarsaker, Lélu, Rzadeczka-Juga, Stene, Svarva, Thun, Værnes and Nadeau2019). First, oils, resin and waxes were extracted by treatment in petroleum ether, then the samples were cleaned at 75ºC with steps of 4% NaOH, 4% HCl, 4% NaOH, and 4% HCl. A bleaching step with a mixture of 5% NaClO2 and 4% HCl at 75ºC (pH ≤ 4), followed by ultrasonic bath at room temperature was applied for the holocellulose purification. The cellulose was then combusted in an elemental analyzer, and the CO2 was reduced to graphite with H2 gas over a Fe catalyst in an automated reduction system (Ohneiser Reference Ohneiser2006; Seiler et al. Reference Seiler, Grootes, Haarsaker, Lélu, Rzadeczka-Juga, Stene, Svarva, Thun, Værnes and Nadeau2019).
The 14C/12C and 13C/12C ratios were measured in the HVE 1 MV AMS system at the National Laboratory for Age Determination in Trondheim (Nadeau et al. Reference Nadeau, Værnes, Svarva, Larsen, Gulliksen, Klein and Mous2015). Radiocarbon results are reported as Δ14C after correction for the radioactive decay of samples and standard (Stuiver and Polach Reference Stuiver and Polach1977).
The measurement uncertainties were calculated according to Nadeau and Grootes (Reference Nadeau and Grootes2013). The measurements were normalized to the Oxalic Acid II primary standards (NIST SRM-4990C, Mann Reference Mann1983). The samples were measured in five (5) different wheels containing 22 secondary standards of different 14C activities ranging from 15 to 104 pMC. The average (n=22) of the normalized deviations from the canonical values, Z-scores, is –0.04 σ with a standard deviation of 0.94 σ indicating that there is no systematic offset and that the quoted uncertainties are representative of the true uncertainties of the measurements. The average of these should be centred at zero and the width of the distribution should be 1 as it is in units of σ.
Numerical model to determine different carbon contributions
The radiocarbon concentration of cellulose, Δc 14C, is the result of contributions from clean air, Δa 14C, input of CO2 produced by plant and soil respiration (biospheric decay CO2, Δb 14C), and stored photosynthates, Δs 14C. The contribution of the latter is complicated by a variable delay in the incorporation of stored carbon, present as non-structural carbon (NSC), into the cellulose. A numerical model to estimate the use of biospheric CO2 and stored photosynthate in trees is described in Grootes et al. (Reference Grootes, Farwell, Schmidt, Leach and Stuiver1989) (Equation 1).
Equation (1), 14C composition of cellulose from the different carbon sources involved (Grootes et al. (Reference Grootes, Farwell, Schmidt, Leach and Stuiver1989):

Where,
Xb = Fraction of carbon contributed by biospheric decay CO2
Xs = Fraction of carbon contributed by stored photosynthate
Δc 14C = 14C value of cellulose
Δa 14C = 14C value of atmosphere
Δb 14C = 14C value of biospheric decay CO2
Δs 14C = 14C value of stored photosynthate
Δt = time interval of considered growth
δΔ/δt = rate of change in Δ14C
While Δc 14C can be measured directly, the accompanying values for Δa 14C, Δb 14C, and Δs 14C must be estimated and assumptions have to be made, as one of our goals is to estimate the contribution of biospheric carbon.
Atmospheric and biospheric contributions were evaluated and averaged over each increment. Since each tree-ring increment is evaluated separately, we set δΔ/δt = 0 which removes the time dependence, leading to Equation (2).

Radiocarbon values of clean air: Δa14C
The Trondheim pine and the Washington spruce are both located in the Northern Hemisphere Zone 1, while the Oregon oak is in Northern Hemisphere Zone 2 (Hua et al. Reference Hua, Turnbull, Santos, Rakowski, Ancapichún, De Pol-Holz, Hammer, Lehman, Levin, Miller, Palmer and Turney2022).
The bomb calibration curves (Hua et al. Reference Hua, Barbetti and Rakowski2013, Reference Hua, Turnbull, Santos, Rakowski, Ancapichún, De Pol-Holz, Hammer, Lehman, Levin, Miller, Palmer and Turney2022) include values from a variety of locations in each zone. Close examination of the records that make up the Northern Hemisphere Zone 1, reveals that atmospheric records from mainland Norway (Nydal and Løvseth Reference Nydal and Løvseth1996) have a higher 14C concentration during the bomb peak than the NH Zone 1 bomb curve (Figure 2a). This is based on data from Fruholmen (71ºN), Gråkallen and Vassfjellet near Trondheim (63ºN), and Lindesnes (57ºN). In the peak of 1963, this difference is about 70 permille (Figure 2a). This indicates that the NH Zone 1 is not a homogeneous reservoir at the height of the bomb peak, 1962–1964, and that the lower 14C concentrations at the sites Vermunt (47ºN; Levin et al. Reference Levin, Kromer, Schoch-Fischer, Bruns, Münnich, Berdau, Vogel and Münnich1985; Levin and Kromer Reference Levin and Kromer2004) and Smilde (52ºN; Vogel Reference Vogel1970) indicate incomplete meridional mixing and dilution of the Northern Hemisphere towards the south. To get the most accurate values Δa 14C for the Trondheim pine at 63ºN, we chose to combine the atmospheric records from mainland Norway.

Figure 2. (a) Atmospheric records from NH zone 1; grey band: The Bomb NH zone 1 (Hua et al. Reference Hua, Turnbull, Santos, Rakowski, Ancapichún, De Pol-Holz, Hammer, Lehman, Levin, Miller, Palmer and Turney2022), dashed line: measurements from Vermunt in Austria (Levin et al. Reference Levin, Kromer, Schoch-Fischer, Bruns, Münnich, Berdau, Vogel and Münnich1985; Levin and Kromer Reference Levin and Kromer2004) with correction for fossil fuel effect and its smoothed curve, solid line: Records from mainland Norway, i.e. Lindesnes, Fruholmen, Gråkallen and Vassfjellet (Nydal and Løvseth Reference Nydal and Løvseth1996), and their smoothed curve. (b) Atmospheric records from NH zone 2; grey band: The Bomb NH zone 2 (Hua et al. Reference Hua, Turnbull, Santos, Rakowski, Ancapichún, De Pol-Holz, Hammer, Lehman, Levin, Miller, Palmer and Turney2022), measurements from Mas Palomas, Santiago de Compostela, and Izaña in Spain and Dakar in Senegal (Nydal and Løvseth Reference Nydal and Løvseth1996), and solid line: the smoothed curve of the Mas Palomas and Santiago de Compostela records.
For the Washington spruce (48ºN), the Vermunt record (47ºN) was deemed most suitable due to the small latitudinal differences (Grootes et al. Reference Grootes, Farwell, Schmidt, Leach and Stuiver1989). This atmospheric record was further corrected for a 2.9 ± 2‰ fossil fuel effect estimated to apply for the summer months (Ingeborg Levin pers. comm.). This correction is based on the added differences between Vermunt/Schauinsland (cf. Levin et al. Reference Levin, Kromer, Schoch-Fischer, Bruns, Münnich, Berdau, Vogel and Münnich1985; Figure 2) and the cleaner site Jungfraujoch of 1.5‰ (May-August AD 1986-2016; Hammer and Levin Reference Hammer and Levin2017), and between Jungfraujoch and the even cleaner site Mace Head at the Irish coast, which is about 1.4‰ (May–August AD 2000–2016; Ingeborg Levin pers. comm.).
The Oregon oak (45ºN) was placed in NH zone 2, based on the analysis of its subannual 14C profile by Cain et al. (Reference Cain, Griffin, Druffel-Rodriguez and Druffel2018; also Hua et al. Reference Hua, Turnbull, Santos, Rakowski, Ancapichún, De Pol-Holz, Hammer, Lehman, Levin, Miller, Palmer and Turney2022). We reanalyze the record with the revised timing of an S-shaped tree-ring growth curve. The atmospheric samples included in the calibration curve compiled by Hua et al (Reference Hua, Turnbull, Santos, Rakowski, Ancapichún, De Pol-Holz, Hammer, Lehman, Levin, Miller, Palmer and Turney2022) from zone 2 in 1963 and 1964 are from Santiago de Compostela (42ºN), Izaña (28ºN) and Mas Palomas (27ºN) in Spain, and from Dakar (14ºN) in Senegal (Nydal and Løvseth Reference Nydal and Løvseth1996). Because atmospheric samples are not available for 1962 from NH Zone 2, the curve is based only on tree-ring measurements in which the Oregon oak dataset is included. We, therefore, excluded 1962 from the analysis of the Oregon oak and use only the Santiago de Compostela and Mas Palomas datasets, which are significantly higher in 14C in 1963 than the Dakar and Izaña records (Figure 2b).
A smooth curve fit was made for each group of atmospheric records using the CCGCRV fitting procedure (Thoning et al. Reference Thoning, Tans and Komhyr1989; www.esrl.noaa.gov/gmd/ccgg/mbl/crvfit/) and uncertainties to the smoothed curves were assigned using a Monte Carlo technique (Turnbull et al. Reference Turnbull, Mikaloff Fletcher, Ansell, Brailsford, Moss, Norris and Steinkamp2017).
Radiocarbon values of biospheric decay CO2: Δb14C
CO2 in air in the atmospheric boundary layer, especially air under a forest canopy, contains significant contributions from the decay of litter on the ground and the decay of soil organic matter and hair roots in the ground as well as from (root) respiration. These contributions are highly variable, being climate and ecosystem dependent, and normally difficult to quantify using 14C, because their 14C concentrations follow that of the atmosphere with various delays. Grootes et al. (Reference Grootes, Farwell, Schmidt, Leach and Stuiver1989) made a model for the lowland evergreen forest site of the Sitka Spruce on the Washington State Pacific coast. This model takes into account the estimated relative contributions and ages of litter such as needles, twigs, and vascular plants, and of root respiration assumed to come from recent photosynthate. Estimated Δ14C values are based on published compilations of atmospheric radiocarbon values. The ratio of decay and respiration is assumed to be constant. For simplicity we use the same values for all three trees as an approximation, the values are listed in Table 3b of Grootes et al. (Reference Grootes, Farwell, Schmidt, Leach and Stuiver1989) and in the supplemental data of this paper.
Radiocarbon values of stored photosynthate (NSC): Δs14C
These values are difficult to quantify because they depend on the delay in fixing NSC carbon from the previous season into stem cellulose which depends on many factors, including tree physiology, phase of the growing season, climate, and ecosystem. The use of stored photosynthate is expected to be most relevant at the start of the growing season (e.g. Kromer et al. Reference Kromer, Wacker, Friedrich, Lindauer, Friedrich, Bitterli, Treydte, Fonti, Martínez-Sancho and Nievergelt2024 and references therein), especially in deciduous trees as seen in the results. As will be discussed in the next section, by assuming that the contribution from stored photosynthate is zero (Xs = 0), we calculate the maximum and minimum possible values for the biospheric decay contribution based on our cellulose values in 1963 and 1964, respectively (Equation 3).

Results and discussion
Because the radiocarbon values of 1989 of the Washington spruce were unavailable, an approximation of these values and their uncertainties was made by superimposing a Microsoft Excel graph onto an image of Figure 1 of Grootes et al. (Reference Grootes, Farwell, Schmidt, Leach and Stuiver1989). Remeasurement of the 14C content of the subannual increments of the Washington spruce at NTNU verify the 1989 results with smaller uncertainties. Some differences are observed, especially in 1962 (Figure 3), when the remeasurement values scatter less than the original 1989 values and follow more closely the Vermunt atmospheric radiocarbon increase. The differences between the original and repeat values are mostly not statistically significant except for the sections 1962 #8, 9, 10 and 1963 #3 and 10. The reduction in the scatter and uncertainty of the Washington spruce data set allows a closer comparison with the results obtained for the Trondheim pine and the Oregon oak.

Figure 3. The remeasured radiocarbon values of the subannual increments Washington Sitka spruce compared to the approximated 1989 values. *The Washington spruce values from 1989 were obtained visually from Figure 1 of Grootes et al. (Reference Grootes, Farwell, Schmidt, Leach and Stuiver1989).
Our best estimates of the 14C level of the local free atmosphere are shown together with the tree ring 14C values for the Trondheim pine, the Washington spruce and the Oregon oak in Figure 4a–c. The three trees show a striking increase in their stem cellulose 14C concentration during the 1963 growing season. Plotted on their estimated growth curves, this increase approximately parallels the estimated 14C increase of the local free atmosphere. An apparent delay of 5–6 weeks in the tree’s response to the 1963 atmospheric radiocarbon increase has been described previously by Cain et al. (Reference Cain, Griffin, Druffel-Rodriguez and Druffel2018), Grootes et al. (Reference Grootes, Farwell, Schmidt, Leach and Stuiver1989), and Svarva et al. (Reference Svarva, Grootes, Seiler, Stene, Thun, Værnes and Nadeau2019).This response is reproduced here after remeasurements of the Washington spruce and with a revised timing of the growth for the Oregon oak while using the corresponding local atmospheric 14C data for comparison (Figure 4a–c). The 14C increase in the tree cellulose in 1963 appears to be delayed by about 26 days in all three trees. Results of 13CO2 pulse-labeling experiments on an evergreen conifer branch by Kagawa et al. (Reference Kagawa, Sugimoto and Yamashita2005) showed that the incorporation of photosynthesis carbon into cellulose happens within a few days both in the earlywood and in the latewood. Therefore, this apparent 1963 delay primarily reflects a lower 14C concentration of boundary layer CO2 due to the admixture of biospheric decay CO2 and plant respiration CO2 during the rapid input of stratospheric bomb 14C into the troposphere at mid northern latitudes during spring and summer of 1963. The newly obtained response is similar for the different trees and ecosystems and agrees with the values reported earlier (Grootes et al. Reference Grootes, Farwell, Schmidt, Leach and Stuiver1989). For the Oregon oak, which is the only deciduous tree in this study, the first increments of each year deviate from the corresponding atmospheric values; those of 1962 and especially of 1963 being significantly lower in 14C than the atmosphere and the first increment of 1964 significantly higher than the atmospheric record of Mas Palomas and Santiago de Compostela (Figure 4c). Similar deviations were reported by Kromer et al. (Reference Kromer, Wacker, Friedrich, Lindauer, Friedrich, Bitterli, Treydte, Fonti, Martínez-Sancho and Nievergelt2024) for an oak from the Upper Rhine Valley. We interpret this as the use of NSC from the end of previous growing season at the onset of radial growth, before the time of leaf formation, in this deciduous tree. Olsson and Possnert (Reference Olsson and Possnert1992) observed similar differences between the 14C concentration of earlywood in an Uppsala oak (60ºN) and that of the clean air at Abisko (68ºN), northern Sweden, with earlywood 14C significantly below the atmosphere in 1963 and above in 1964 (c.f. their Fig. 4, our Figure 4c). Yet, they reported no clear evidence for a delay between the cellulose and the atmosphere on a time scale of weeks. This may be due to the large 14C measurement uncertainty of ca. 20 ‰ and to uncertainty in their timing of the latewood growth increments. A memory effect in the earlywood of the oak was mentioned in Olsson and Possnert (Reference Olsson and Possnert1992). A comparable earlywood effect is not obvious in the evergreen conifers (Figure 4a,b).

Figure 4. Radiocarbon values of tree cellulose and free atmosphere for (a) The Trondheim pine and mainland Norway atmosphere, (b) Washington spruce and Vermunt atmosphere, (c) the Oregon oak and Mas Palomas and Santiago de Compostela atmosphere, and the difference between atmosphere and cellulose of the (d) Trondheim pine, (e) Washington spruce, and (f) Oregon oak.
The differences between the 14C concentration of the local free atmosphere and the measured cellulose 14C concentrations for the years 1962–1964 (Figure 4d–f) are significant compared with data scatter and uncertainty and invite further interpretation. The assumptions of Eq. (1) ascribe these differences to the influence of respiration of the local vegetation and soil, Δb 14C, on the local boundary layer atmosphere plus the delay between the photosynthetic fixation of carbon from this atmosphere at Δs 14C and its incorporation into stem cellulose. The differences between the atmosphere and cellulose Δ14C values in 1963 range from 98 to 131‰ for the Trondheim pine, from 33 to 96‰ for the Washington spruce, and from 71 to 220‰ for the Oregon oak (Figure 4d–f). In 1964, the differences range from 9 to 60‰ for the Trondheim pine, from 1 to 48 ‰ for the Washington spruce, and from –53 to 80‰ for the Oregon oak. In 1962, only the differences for the Trondheim pine, –10 to 26‰, and the Washington spruce, 4 to 48‰, are available. These significant differences reflect carbon from the bomb spike entering the pool of decaying organic matter and changing Δb and Δs of Eq. (1). During the rapid increase in atmospheric 14C of 1962 and 1963, biospheric decay CO2 and stored photosynthate contained less 14C than the atmosphere. By contrast, photosynthate from late in the 1963 growing season was higher in 14C than in the beginning of the 1964 growing season, as can be seen in the first increment of the Oregon oak.
We estimate from the measured Δc 14C values of 1962 and 1963 the maximum contribution of biospheric decay CO2 to stem cellulose, Xb, under the simplifying assumption that once the growing season and tree photosynthesis is in full swing, fresh photosynthate will be used for ring growth and the use of older NSC can be neglected (Xs = 0, Figure 5). The potentially stored photosynthate, produced in the autumn of 1963, has a higher Δ14C value than 1964 cellulose, while the rate of change in Δ14C in 1964 is small. Then, again assuming Xs = 0 yields the minimum amount of biospheric decay CO2 that is needed to produce the observed lowering of cellulose Δ14C values compared to atmosphere. Figure 5 indicates a maximum contribution of 25–30% C from biospheric decay carbon to the cellulose of all three trees for most of the 1963 ring and for the Washington spruce for 1962. This agrees with the maximum contribution of ≈28% estimated by Grootes et al (Reference Grootes, Farwell, Schmidt, Leach and Stuiver1989). For 1964, all three trees suggest a minimum carbon contribution from biospheric decay of 10–15%.

Figure 5. The modeled contribution from biospheric CO2, Xb (%) to each tree-ring increment for (a) the Trondheim pine, (b) Washington spruce, and (c) the Oregon oak. Uncertainties are based on the cellulose radiocarbon measurements. For the calculation, the contribution from stored photosynthate, Xs, is assumed to be zero.
The Trondheim pine, Figure 5a, indicates a lower value of 10 to 15% decay CO2 for 1962, possibly reflecting more open growing conditions and colder winters. The mean temperature for April–August was ≈2ºC warmer in 1963 than in 1962 and 1964 (Norwegian Meteorological Institute, station code: 68860). This could explain the flatter shape of the Xb values of the Trondheim pine in 1963 as decay might have started earlier in the year. The Trondheim pine increment #1 of 1962 gives a negative Xb value. This is likely due to cutting error as described in the supplemental data of Svarva et al. (Reference Svarva, Grootes, Seiler, Stene, Thun, Værnes and Nadeau2019).
The coniferous Scots pine and Sitka spruce show a close Δ14C agreement between atmosphere and cellulose for the first increments of 1962 and 1964 (Figure 4d,e, Figure 5a,b) indicating a small Xb and Xs. A low influence of decay CO2 may reflect low soil temperatures leading to low soil activity early in the season. Negligible use of stored photosynthate of the preceding fall and winter for early stem growth in evergreens agrees with results reported by Schier (Reference Schier1970) for red pine seedlings.
The ≈70% biospheric decay contribution of the Oregon oak, calculated for the first three increments of the 1963, and the negative value for the first increment of 1964, indicate that the assumption Xs = 0 was wrong and stored NSC must have been used. Warmer winter temperatures at this site compared to Trondheim might cause less fluctuations in biospheric decay through the year.
Conclusions
Remeasurement of the Washington spruce has confirmed the earlier results. The shift between atmospheric and cellulose 14C contents in 1963 is consistent between the two evergreens and the deciduous oak. This reflects the response of the tree to rapid changes of atmospheric 14C content. The combined 1963/1964 data indicate a lower tree-ring cellulose 14C concentration in 1963 due to a biospheric C contribution of the order of 10 to 30 %. The estimated influence of soil CO2 in 1962 and 1964 is similar. The actual contribution will vary with local conditions like density of tree stand, thickness and quality of forest floor organic cover, local climate, etc. It is likely that this interpretation can be transferred generally to NH sites and evergreen as well as deciduous taxa.
Analyses of this detail require careful consideration of many factors, including (1) the timing of tree growth, (2) the biospheric 14CO2 values, and (3) the atmospheric 14C values representing clean air. The detailed analysis reveals that stem cellulose provides an archive of the fluctuations in atmospheric 14C concentration during the growing season with subannual to weekly resolution, largely independent of tree species. This tree cellulose 14C record differs, however, from that of the zonally defined free atmosphere due to (1) zonal 14C mixing inhomogeneities in the atmosphere, (2) modification of the local atmosphere in which photosynthesis takes place by local ecosystem activity, and (3) plant physiology varying the delay between photosynthesis and fixation of the photosynthate carbon in stem cellulose. The 14C differences, here highlighted by the bomb 14C spike, are always present, reflecting the flow of stratospheric 14C through carbon cycle pathways in troposphere, biosphere, and oceans. With increased availability of Δ14C data with 1 to 2‰ uncertainty, the assumption that 14C tree ring records directly show the atmospheric 14C concentration of a homogeneous, zonally well-mixed atmosphere, must be reassessed. The information from highly detailed 14C records on carbon contributions to stem cellulose can, in combination with stable isotope studies, contribute to our understanding of variability of the local carbon cycle, climate, and the environment.
Supplementary material
To view supplementary material for this article, please visit https://doi.org/10.1017/rdc.2025.10102
Acknowledgments
The authors would like to thank Terje Thun for providing the Trondheim pine samples, and Quan Hua, Ingeborg Levin, and Jocelyn Turnbull for discussions and advice on datasets and calculations. The comments of Associate Editor Steven Leavitt and two anonymous reviewers are greatly appreciated.