Published Date
August 2016, Vol.181:82–95, doi:10.1016/j.rse.2016.04.010
Open Access, Creative Commons license
Monitoring boreal forest biomass and carbon storage change by integrating airborne laser scanning, biometry and eddy covariance data
Received 7 August 2015. Revised 25 March 2016. Accepted 10 April 2016. Available online 20 April 2016.
Highlights
Highlights
- •Compares methods for estimating C using eddy covariance, allometry and airborne laser scanning
- •Remote sensing framework for mapping and partitioning C uptake in regenerating forests
- •Biomass changes are determined for a boreal jack pine chronosequence over a 6-year period.
- •Efficiency of CO2 storage into biomass was least in youngest/oldest stands, greater at mid-age.
- •NEP − Δlive biomass suggests soil and litter C store transitions from source to sink at 70–100 years.
Abstract
This study presents a comparison and integration of three methods commonly used to estimate the amount of forest ecosystem carbon (C) available for storage. In particular, we examine the representation of living above- and below-ground biomass change (net accumulation) using plot-level biometry and repeat airborne laser scanning (ALS) of three dimensional forest plot structure. These are compared with cumulative net CO2 fluxes (net ecosystem production, NEP) from eddy covariance (EC) over a six-year period within a jack pine chronosequence of four stands (~ 94, 30, 14 and 3 years since establishment from 2005) located in central Saskatchewan, Canada. Combining the results of the two methods yield valuable observations on the partitioning of C within ecosystems. Subtracting total living biomass C accumulation from NEP results in a residual that represents change in soil and litter C storage. When plotted against time for the stands investigated, the curve produced is analogous to the soil C dynamics described in Covington (1981). Here, ALS biomass accumulation exceeds EC-based NEP measured in young stands, with the residual declining with age as stands regenerate and litter decomposition stabilizes. During the 50–70 year age-period, NEP and live biomass accumulation come into balance, with the soil and litter pools of stands 70–100 years post-disturbance becoming a net store of C. Biomass accumulation was greater in 2008–2011 compared to 2005–2008, with the smallest increase in the 94-year-old “old jack pine” stand and greatest in the 14-year-old “harvested jack pine 1994” stand, with values of 1.4 (± 3.2) tC ha− 1 and 12.0 (± 1.6) tC ha− 1, respectively. The efficiency with which CO2 was stored in accumulated biomass was lowest in the youngest and oldest stands, but peaked during rapid regeneration following harvest (14-year-old stand). The analysis highlights that the primary source of uncertainty in the data integration workflow is in the calculation of biomass expansion factors, and this aspect of the workflow needs to be implemented with caution to avoid large error propagations. We suggest that the adoption of integrated ALS, in situ and atmospheric flux monitoring frameworks is needed to improve spatio-temporal partitioning of C balance components at sub-decadal scale within rapidly changing forest ecosystems and for use in national carbon accounting programs.
Keywords
- Net ecosystem production (NEP)
- Gross primary production (GPP)
- Stand growth
- Change detection
- Airborne laser scanning
- Multi-temporal LiDAR
- Jack pine chronosequence
- Boreal forest
- Carbon balance
- Monitoring framework
1 Introduction
Net ecosystem production (NEP) represents the organic carbon (C) balance of an ecosystem through the process of sequestration and loss (Randerson, Chapin, Harden, Neff, & Harmon, 2002). Specifically, this involves the processes of photosynthesis and C import, minus losses to ecosystem respiration (Re), C export and non-biological oxidation of C (Lovett, Cole, & Pace, 2006). Given linkages between atmospheric CO2 and global climate (IPCC, 2013), monitoring of continuously changing C stocks, sources and sinks, as well as associated land management or climatic feedbacks, is required for effective greenhouse gas mitigation strategies (Canadell et al., 2007). Spatialization and partitioning of ecosystem NEP enables improved understanding of atmospheric C sequestration in biomass growth, and therefore may be linked to national C accounting programs, calibration of land surface models and diagnostic assessment of the terrestrial biosphere (Jung et al., 2011).
Reporting of C gains and losses within the terrestrial biosphere has increased in recent years as a result of these needs (Canadell et al., 2007), with national reporting guidelines set by the United Nations Framework Convention on Climate Change (UNFCCC). The need to develop and refine sophisticated C monitoring techniques are further realised through international programs like the REDD (Reducing Emissions from Deforestation and forest Degradation) and GOFC-GOLD (Global Observation of Forest and Land Cover Dynamics) programs. Examples of national agencies currently embarking on or supporting integrated remote sensing and in situ ecosystem-scale C monitoring and research initiatives are NEON (National Ecological Observatory Network Inc. USA, www.neonscience.org) and TERN (Terrestrial Ecosystem Research Network, Australia, www.tern.org.ca).
Several monitoring strategies are currently in place to quantify drivers of short-term C source/sink variability and longer-term changes in ecosystem C stocks. However, approaches used to understand ecosystem C differ in terms of spatial and temporal representation, as well as the physical quantities being measured (Medvigy & Moorcroft, 2011). This has the potential to create discrepancies in greenhouse gas reporting across regions and between nations. For example, eddy covariance (EC) methods routinely provide estimates of the net ecosystem exchange (NEE) of gains and losses of CO2 between soil, vegetation and atmosphere over defined time periods and spatial extents. NEE is equivalent but opposite in sign to NEP when inorganic C fluxes balance or are negligible. Gross primary production (GPP) is NEP minus Re, though is less directly observed, as ecosystem respiration (the combination of autotrophic and heterotrophic respiration) is usually modelled (Barr et al., 2006 and Griffis et al., 2003). Over periods of 2 to 10 years, changes in GPP or NEP due to factors like severe drought, fire or insect/pathogen disturbances may be monitored (Barr et al., 2007 and Ciais et al., 2005). However, because EC methods provide an aggregate estimate of C exchange, there are limits to how far ecosystem process, composition changes or anthropogenic vs natural influences can be partitioned or extrapolated over broad regions. Further, large uncertainties exist with regards to within-ecosystem process interaction thereby limiting the use of data-intensive ecosystem biogeochemical models (Canadell et al., 2007).
Another C assessment option uses inventory methods to monitor above and below-ground C pools within forest plots. Plots can be revisited every few years to estimate rates of biomass accumulation and partitioning associated with age, site history, and changes to management regime. Plot measurements can include direct sampling of living biomass and other C pools including roots, detritus and litterfall. These data can be used to estimate net primary production (NPP) of cumulative biomass C stored within all above and below-ground components (Law, Thornton, Irvine, Anthoni, & Van Tuyl, 2001). (Note, NEP and NPP are parallel but distinct concepts, as NPP does not account for heterotrophic respiration C losses). Above and below-ground biomass measurements can be destructive, limited in spatial extent and temporal frequency because they are labour intensive (Curtis et al., 2002, Gower et al., 1997, Lambert et al., 2005, Peichl and Arain, 2007 and Zha et al., 2013), and may not fully account for spatial variability (Kristensen, Næsset, Ohlson, Bolstad, & Kolka, 2015). Despite such limitations, in situ observations of temporal change in C stocks provide a cumulative assessment of biomass C growth and loss (Barford et al., 2001), which may allow for more direct partitioning of changes in C pool quantities associated with climatic, disturbance and land management drivers.
For long-term monitoring of plot-based C pools, measurement protocols need to be consistent to ensure accurate comparisons. A challenge associated with repetitive field sampling is the possibility that by collecting measurements and samples (e.g. invasive root measurements, trampling of understory, litter traps), the observer might alter the growth trajectory of the plot or surrounding area (Cahill et al., 2001 and Semboli et al., 2014). Such concerns provide justification for refining and integrating non-invasive C assessment techniques such as eddy covariance and remote sensing (He et al., 2012 and Kristensen et al., 2015). To this end, airborne laser scanning (ALS) provides a non-invasive spatially- and structurally-explicit scaling mechanism between field-plot data and EC-based estimates of NEP within forest ecosystems. ALS biomass models typically utilize regression relationships between ALS canopy height profile metrics and plot-level biomass derived using allometric equations. In comparison with EC and plot data, ALS provides a one-time spatial characterisation of above-ground tree biomass (Asner and Mascaro, 2014, Means et al., 1999, Næsset and Gobakken, 2008 and Popescu et al., 2003). For time intervals of three years or more, ALS has been demonstrated to accurately quantify canopy growth rates (Hopkinson et al., 2008, Hudak et al., 2012, Næsset et al., 2013 and Næsset and Gobakken, 2005) and biomass change (Økseter et al., 2015 and Skowronski et al., 2014). It is feasible, therefore, to develop a framework that maps biomass C across the landscape, tracks changes through time and then reconciles these remote sensing observations with NEP.
Given the proliferation of large area, even nation-wide, ALS coverages in recent years (Wulder et al., 2012, Stoker et al., 2013 and Hopkinson et al., 2013) and new ecosystem monitoring programs like NEON and TERN in the USA and Australia, it is now logical and feasible to incorporate ALS within an integrated C flux monitoring framework. Indeed, this was a recommendation of a recent Fluxnet report (Beland et al., 2015). ALS is already a recognized method for better characterising flux tower site canopy structural variability (Chasmer et al., 2008b) within approximately 44 international Fluxnet sites, with at least 8 of these sites containing two or more temporal ALS datasets (Beland et al., 2015). Furthermore, the work of Chasmer et al., 2008a, Chasmer et al., 2008b and Chasmer et al., 2011 has provided the platform for such a framework by developing and refining methods of ALS forest canopy attribute integration with EC CO2 flux data.
While an integrated EC and ALS ecosystem C monitoring framework is conceptually feasible, its implementation is challenged both as a result of: a) their currently being few sites around the world where long-term EC NEP records have been collected in tandem with multi-temporal ALS; and b) the subtle but critical differences in the way C pools and fluxes are quantified in EC, ALS and plot measurement methods. While plot-level monitoring can track changes in terrestrial C pools at distinct locations, this differs to ALS observations that can track above ground standing biomass changes across the landscape. And both are distinct to EC NEP, which is inferred from the NEE of C between the ecosystem and atmosphere within the footprint of a flux tower. Clearly then, each technique has distinct spatio-temporal domains of representation and each observes slightly different components of the terrestrial C cycle.
This paper addresses the disparate sampling and spatio-temporal representations of ALS, plot and EC ecosystem C observations and introduces a framework for data integration that, when combined, provides more information on ecosystem C balance than is possible using each method in isolation. The aim is to integrate all three approaches in a manner that accounts for and capitalises upon the different C pool and process representivity of each. A case study is presented to apply the integrated C assessment framework within a chronosequence of regenerating boreal forest stands over a six year period in an attempt to better partition GPP and NEP as the stands progress from adolescence to maturity.
2 Materials and methods
2.1 Study area
A chronosequence of four jack pine (Pinus banksiana Lamb.) stands, located approximately 100 km northeast of Prince Albert, Saskatchewan, Canada (53°54′ N, 104°39′ W, ~ 490 m a.s.l.) were examined in this study (Fig. 1). Jack pine is one of the most numerous boreal forest species, covering an area of ~ 517,000 km2 of Canada and parts of the northern USA (Little, 1971), and therefore represents an important northern hemisphere component of global biomass. Two sites, a mature stand (91–97 year old; Old Jack Pine (OJP)) and an intermediate-aged stand harvested in 1975 (HJP75) were established during the Boreal Ecosystem Atmosphere Study (BOREAS) (Sellers et al., 1995) in 1993. Monitoring at the sites continued from 2001 to 2011 under the project name: Boreal Ecosystem Research and Monitoring Sites (BERMS) within the Fluxnet Canada Research Network and the Canadian Carbon Program (Barr et al., 2004, Coursolle et al., 2006 and Zha et al., 2013). Two additional jack pine stands, one harvested in 1994 (HJP94) and the other in 2002 (HJP02) were added to the existing BOREAS and Fluxnet Canada stands to complete the jack pine chronosequence (Fig. 1). Site characteristics are described in Zha et al. (2013). Soils at the sites are composed of glaciofluvial deposits, and are sandy and dry (Vogel & Gower, 1998). The sites have slightly undulating topography, with a maximum elevation variation of ~ 20 m within 1 km of the EC tower at the OJP stand. In 2005, mean stand heights varied from 0.2 m to 14.2 m at HJP02 and OJP, respectively (Zha et al., 2013), with mean leaf area index ranging from 0.3 m2 m− 2 to 3.1 m2 m− 2 at HJP02 and HJP75, respectively (Chasmer et al., 2008a and Chen et al., 2006).
Long-term annual averages of minimum, mean, and maximum daily air temperatures for the nearest town site at Prince Alberta, SK (~ 100 km south west) are − 5.3 °C, 0.2 °C, and 7.1 °C, respectively, while annual mean precipitation at Waskesiu Lake climate station (~ 100 km west) is ~ 467 mm (1981 to 2010 Environment Canada climate normal). Slightly above normal total precipitation depths were observed throughout the period studied at Environment Canada's Waskesiu Lake climate station, with three-year means of 585 mm and 522 mm for 2005–2008 and 2008–2011, respectively. Air temperatures collected at the OJP flux tower indicate locally warmer conditions during 2005–2008 than 2008–2011, with mean growing season (April to September) temperatures of 13.0 °C and 12.5 °C, respectively. The study followed a period of drought from 2001 to 2003, during which local reductions were observed in ecosystem productivity (Kljun et al., 2007) and light use efficiency (LUE) (Chasmer et al., 2008a).
2.2 Conceptual framework
A simple conceptualisation of important terrestrial ecosystem C pools within a regenerating forest stand and their representation using different measurement methods is presented in Fig. 2 and provides the basis for the analysis presented. ‘Understory’ in Fig. 2 represents living shrubs, small trees and vegetation ground cover; ‘litter’ encompasses fine and course woody debris as well as decaying understory biomass; ‘root’ represents both fine and coarse components; ‘soil’ encompasses both organic and mineral components. C exchanges due to the import or export of inorganic sediments and animal movement is ignored or assumed to balance over long enough time periods. Dissolved Organic Carbon (DOC) is illustrated in Fig. 2 as it represents a potential C export. The brackets and text at right side of Fig. 2 illustrate how each measurement technique samples either an aggregate ecosystem C response through time (NEP) or distinct pools of C within the ecosystem (ALS and plots).
The implicit assumption in Fig. 2 is that if all terrestrial organic C pools can be monitored through time, then the change in total organic C (ΔΤC) can be reconciled with NEP. Following Lovett et al. (2006):
1
where E represents exports of C, such as by harvest or by leaching of DOC; I represents imports, such as by animal movement or wind transport; and Oxnb is the non-biological oxidation of C, which may occur as a result of fire or ultraviolet oxidation (Lovett et al., 2006). For the purpose of this analysis, the BERMS sites are assumed balanced in terms of major imports and exports of organic C, and oxidation is considered a negligible component, as there have been no fires in these stands in recent decades. The most likely organic C export at the BERMS chronosequence would be DOC in groundwater but this has been shown to be a negligible component of the C balance with export values of ~ 0.002 tC ha− 1 (Grant et al., 2007). Therefore, we can formulate the following simple relationship:
2
Further, by assuming that the living understory and root components of a regenerating stand increase in biomass each year in concert with the standing living woody or tree biomass, we can estimate the understory and root C pools as a function of the generally larger standing live C pool (e.g. Kristensen et al., 2015):
3
Then:
4
Thus, NEP is equated to a function of the change in above ground live biomass that can be modelled from ALS, with a residual term that is associated with the changes in C storage within the litter and soil zone. The f(ΔSLC) term represents the change in C within the total living biomass components (TLC) associated with tree stems, understory and roots and therefore:
5
This rearrangement facilitates a direct comparison of ecosystem C storage change estimates that can be generated from ALS and EC techniques. The litter, soil and export residual components of this C balance represent an important bulk quantity of forest ecosystem C store that can now be resolved.
2.3 Eddy-covariance data
In this study, NEP = − NEE and GPP is determined from NEP minus ecosystem respiration (Re). Half-hourly fluxes of Atmospheric CO2 (converted to tC ha− 1) were measured at each of the jack pine chronosequence sites using standardized Fluxnet EC methods following Griffis et al. (2003), Barr et al. (2006) and Zha et al. (2013), and all data were corrected for energy balance closure (Barr et al., 2006 and Barr et al., 2013). Due to the length of the study and remote nature of the sites, occasional instrument malfunction led to data gaps exceeding one year within three out of the four site datasets. Complete annual NEP measurements were available as follows: HJP02 (2003–2007); HJP94 (2001–2004; 2009–2011); HJP75 (2004–2007, 2010), and OJP (2000–2011; i.e. no inter-annual data gaps). While caution must be exercised with the interpretation of younger site NEP and GPP during data gap periods, two methods for filling these gaps were tested in order to construct cumulative NEP records: a) linear regression model between annual NEP and stand-age for periods when data exist; b) comparison of GPP and NEP from EC estimates with the GPP/PSN (photosynthesis, NPP) MODIS (MOD17A2_5.1) data products downloaded from (odaac.ornl.gov) for the tower pixel (Zhao, Heinsch, Nemani, & Running, 2005). Based on the results of this gap-filling comparison (presented below) and previous observations that NEP correlates well with stand-age (Zha et al., 2013), gap filling using the age-interpolation was ultimately chosen.
2.4 Plot biometric measurements
Two distinct types of field plots have been used in this study. The first are termed ‘forest mensuration plots’ (FM plots) and the second ‘C pool plots’ (CP plots). Both types made biomass measurements (detailed below) and utilised allometric equations to calculate tree and plot-level dry biomass in tC ha− 1 (Lambert, Ung, & Raulier, 2005). Dry biomass estimates were converted to C by assuming 50% of dry biomass is C (Atjay et al., 1977 and Pregitzer and Euskirchen, 2004). FM plots of standing live biomass C (SLCplot) were used to calibrate an ALS model, while the purpose of the CP plots was to allow partitioning of the primary above- and below-ground biomass C pools so that the living biomass components of SLC, UC and RC could be related as per Fig. 2 and Eq. (3). Via this approach, ALS estimates of SLC could be expanded to account for all live biomass components (see below).
Coincident with the August 2005 ALS data collection (described below), eight, eight and six FM plots were set up at OJP, HJP75, and HJP94, respectively, for the explicit purpose of calibrating ALS forest attribute models (Chasmer et al., 2008b). The circular FM plots had radius of 11.3 m and were installed at radial distances of 100 m and 500 m (OJP, HJP75), and 100 m and 200 m (HJP94) from the flux towers at each site (Fig. 1). Plots were accurately located (< 40 cm 95% CI) using > 20 min rapid-static dual-frequency global positioning system (GPS) rover occupations relative to a GPS base station set over a fixed control marker in HJP02 < 10 km from each stand. Accurate FM plot location was critical to ensure field biomass data were precisely co-located with the ALS point cloud for subsequent SLC model construction. Measurements included diameter at breast height (DBH) and stem height for every tree with a DBH > 2 cm (Table 1). No ground cover or root biomass measurements were made at FM plots. Due to the immature regenerative state of HJP02 at the time of field visits (3 years after clear cut), biomass measurements were not collected at HJP02.
Table 1. Summary of jack pine stand CP and FM plot measurements from four historical datasets.
Author | Gower et al. (1997) | Howard, Gower, Foley, and Kucharik (2004) | Theede (2007) | Chasmer et al. (2008b) |
---|---|---|---|---|
Year | 1994 | 1999 | 1994, 2004 | 2005 |
Number of plots (type) | 8 (CP) | 5 (CP) | 3 (CP) | 22 (FM) |
Plot size (m2), shape | 56 (HJP75), 625 (OJP), square | 625, square | 625, square | 400, circle |
Plot measurements | Tree number, DBH | Tree number, DBH | Tree number, DBH | Tree number, DBH, tree height, understory |
Number of sub-plots | 4 | 4 | 3 | 0 |
Sub-plot measurements | Destructive sampling of seedlings, shrubs, herbs, mosses, all oven-dried | Per Gower et al. | Per Gower et al. | N/A |
Litter-traps | Periodically emptied and oven-dried | Per Gower et al. | Per Gower et al. | N/A |
Mineral soil C content | Coarse roots, fine roots | coarse roots; 10 soil cores; fines | Per Gower et al., | N/A |
Coarse woody debris | 10 m transects | 10 m transects | 10 m transects | N/A |
During the period 2005–2011, no CP plots were acquired but an archive of CP plot data from 1994 to 2004 was obtained: a) eight plots established in 1994 by Gower et al. (1997) at OJP and HJP75; b) five plots established in 1999 by Howard et al. (2004)at OJP, HJP75 and HJP94; c) three repeats of the Gower et al. (1997) OJP plots measured in 2004 by Theede (2007). As the CP plot data were collected across three historical studies, the range in available plot-level detail was variable. Raw data were available from Theede (2007), individual plot summaries from Howard et al. (2004), and aggregate summaries from Gower et al. (1997).
It is known that the inter-relationship between living biomass components varies with age (e.g. Lehtonen et al., 2004 and Peichl and Arain, 2007), so these plots, were used to develop a stand age-variant expansion factor (e) for total live biomass C (TLC) as a function of SLC. The locations of the CP plots are only approximately known but accurate positioning was not important, as they were not used in the calibration of ALS data. The e factor was derived as follows:
6
Following the above CP plot-level calculation, the resultant e factor was regressed against stand-age (a), to generate an age-variant e function, which was applied to SLC data derived from ALS in 2005, 2008 and 2011.
2.5 ALS data collection and processing
ALS data were collected during clear-sky conditions over each of the study sites in August 2005, 2008 and 2011 using a small-footprint multiple-discrete-return Airborne Laser Terrain Mapper (ALTM) 3100C (Teledyne Optech Inc., Toronto), operated with equivalent flight and sensor settings resulting in an aerial sampling density of > 2 pts m− 2. ALS point clouds were flight-line matched and classified into ground and non-ground returns using Terrascan (Terrasolid, Finland), and subsequently converted to 1 m raster triangulated irregular network digital elevation models (DEMs), localized maxima digital surface models (DSMs) and canopy height models (CHMs), which were the difference between the DEM and DSM. All raster grids were generated in Surfer (Golden Software, Denver, CO). CHM growth between data collections was estimated based on a 3 m × 3 m grid-size change in maximum height to reduce uncertainty due to small shifts in tree top position. Areal canopy cover losses, primarily associated with stem mortality, were illustrated at CHM grid nodes where the value had decreased by > 2 m.
2.6 Estimating total living biomass C stocks from ALS
Standing live biomass C determined per 2005 FM plot (SLCplot), was used to construct ALS standing live biomass C (SLCALS) models based on a variety of commonly used point cloud metrics described below. Point cloud data were first extracted within geo-registered 2005 FM plot extents and normalised to a height above ground-level by computing elevation residuals relative to the DEM. Point cloud metrics were derived on a per-plot basis and regressed against SLCplot. The following metrics were tested for all returns and all returns above 0.2 m (to remove ground influence and any near-ground noise in the data): mean, maximum, standard deviation, inter-quartile range (IQR), height percentiles [P25, P50, P75, P90, P95, P99] and the following ratios: i) all returns/all returns above 1.5 m, ii) all returns/all returns above average height, and iii) all returns/all first returns above 1.5 m. Single and dual variable linear, power, log and exponential models were tested. An optimal ALS model was chosen, based on predictive capability and consistency of its application to different datasets through time; i.e. if a model reproduced accurate plot-level biomass estimates for the year of plot and ALS sampling (2005) but produced noisy or biased biomass estimates when applied to 2008 or 2011, it was ignored. Temporal FM plot data were not available to test the ALS model in 2008 or 2011, so judgement was exercised based on field observations of canopy conditions at each site. For these reasons, if the explanatory power of a simple univariate or linear model was statistically equivalent to a more complex multivariate or non-linear model, then it was chosen; i.e. simplicity was preferred over complexity in the absence of more quantifiable decision criteria. The assumption is that a simpler technique may not always produce the highest accuracy model but it should be more robust for comparative analyses across a range of datasets containing diverse canopy heights and densities (e.g. Hopkinson, Chasmer, Lim, Treitz, & Creed, 2006).
Following selection of a suitable SLCALS model, it was applied to the point clouds across the entire jack pine study area. Modelled data were gridded at 20 m × 20 m grid cell resolution to be equivalent in area to the 400 m2 FM plots used in calibration and ensure adequate ALS returns (typically 600 to 1000 points) in each cell for percentile- or ratio-based model implementation. The previously derived expansion factor, e, was applied to SLCALS grids per Eq. (6) to estimate total live biomass C (TLCALS) across all stands for each year of ALS data (2005, 2008 and 2011). Confidence intervals (95% CI) were calculated to describe the range of rasterised jack pine TLCALS variability in: a) 2005 mensuration FM plot locations (number of grid cells (n) = 32 for HJP75 and OJP, and 24 at HJP94); and b) each stand (n > 10,000 grid cells). The change in TLCALS (ΔTLCALS) or net live biomass accumulation was calculated by differencing the grid models and summarising by stand and plot locations.
2.7 Footprint extraction
In order to compare spatial biomass changes mapped from remote sensing with flux-tower measurements of NEP, the two data types must be reconciled to a common spatial and temporal reference frame. This is achieved by modelling the spatial extent of the EC flux footprint for the time period of interest (Vesala et al., 2008 and Leclerc and Foken, 2014). The flux footprint is defined as the probability of flux contribution per unit area upwind of EC instrumentation (Kljun et al., 2004, Kljun et al., 2002 and Schmid, 1994). A raster-based footprint parameterization based on Kljun et al. (2004)was used to map EC-sampled source/sink areas per half-hour period. Following the methods of Chasmer et al. (2011), the half-hourly footprints were then totalised over entire years to determine appropriate grid-cell weightings of ΔTLCALS around each of the EC towers. Footprint weighting provides the most spatially comparable estimate of ΔTLCALS to EC-based estimates of GPP and NEP. The year nearest to the 2008 ALS dataset collected at the midpoint of the time series was chosen (HJP94: 2009; HJP75: 2007; OJP: 2008) to represent median stand-level canopy structure conditions, which were necessary inputs for the footprint parameterization (Chasmer et al., 2008b and Chasmer et al., 2011). The 95% CI of the within-flux-footprint ΔTLCALS was calculated from all grid cells within the footprint probability density function 90% contour (n > 5000 and varies with footprint extent).
2.8 Comparative analyses
As a test of plot-location stand representivity, samples of TLCALS data were extracted for each of the FM plot locations (four grid cells per plot), summarised and compared to stand-level TLCALS. Then stand- and plot-level TLCALS estimates were compared for each of the stands and the three sample periods to quantify differences in total live biomass C with stand-age. Due to close proximity and comparable soil conditions, it was assumed the stands do not differ significantly in terms of fertility or climatic inputs and thus their age is the primary control on their response to external drivers. A time-series of stand-level TLCALS was plotted as a function of stand-age to visually assess whether or not the biomass accumulation trends at individual stands, were consistent with the chronosequence as a whole. CP plot estimates of TLC collected during the 11 years prior to the ALS missions were also included in this analysis for comparison, as they extended the age range represented.
The ΔTLCALS results were also compared with EC-based GPP at stand-level (for comparable years) and then with NEP at footprint-level (using gap filled data). A ΔTLCALS/GPP ratio is here considered an index of the efficiency with which C sequestered during photosynthesis has been stored in inter-annual total live biomass accumulation for each of the jack pine stands. For the purpose of this study, this ratio is referred to as live C use efficiency (LCUE). To further assess spatial sampling influences on biomass accumulation estimates, total live biomass accumulation (ΔTLCALS) at FM plot-locations, stands and within EC tower footprints were compared. Finally, the footprint-weighted ΔTLCALS data were subtracted from NEP to derive the residual (NEP − ΔTLCALS), which as per Eq. (5) represents the combination of changes in C storage in the litter and soil C pools (ΔLC + ΔSC). This last step partitions ecosystem C into more fundamental quantities than either ALS or EC methods can directly infer and, therefore, presents new information about the ecosystem C balance.
3 Results
3.1 Gap filling NEP
MODIS GPP overestimated EC GPP and correspondence was poor within younger sites requiring gap-filling, while the PSN product is not comparable to NEP estimated using eddy covariance methods and therefore was not used. Linear regression and interpolation between NEP and stand-age was, however, sufficient for use as an inter-annual NEP gap filling approach. OJP is the oldest of the sites and thus the least likely to demonstrate any relationship between annual NEP and stand age (r2 = 0.04). At HJP75, NEP is missing from 2008 to 2009, but for remaining years NEP increases linearly with age (r2 = 0.70). The gap at HJP94 (2005–2008) is bracketed by four years prior and three years following, and the age-dependent linear relationship was strong (r2 = 0.92). Missing data during years 2008–2011 at HJP02 (stand age of 6 to 9 years) were filled based on the linear regression of HJP02 NEP data from 2003 to 2007 and data from HJP94 (stand age 7 to 10 years) (r2 = 0.86). The proportions of gap-filled EC NEP data are 0% (OJP), 28% (HJP75), 36% (HJP94) and 44% (HJP02). Annual climatic variability may influence CO2 uptake and biomass growth at jack pine chronosequence sites, especially during warm, dry years (Grant et al., 2007), but the influence of climate on annual NEP residuals from the age-variant linear regression trend at younger sites (HJP02, HJP94 and HJP75) is not found to be significant (p = 0.45; 0.37 and 0.78, respectively). Cumulative annual precipitation is within 23% of the 6-year average and average air temperatures are within 2 °C.
3.2 Growth and loss of jack pine from 2005 to 2011
The ALS CHM changes from 2005 to 2011 (Fig. 3) indicated annual canopy height growth rates (mean ± 1 s.d.) of 0.09 ± 0.70 m y− 1 at OJP; 0.28 ± 0.09 m y− 1 at HJP02; 0.39 ± 0.16 m y− 1 at HJP75; and 0.63 ± 0.22 m y− 1 at HJP94. While all stands displayed net vertical growth, areal loss of canopy cover (or increase in canopy gaps) over the 6-year period was < 16% at OJP, and ≤ 1% for younger stands. Minor tree stem or canopy cover losses within the OJP stand appear randomly distributed but mostly within 500 m of the EC tower. There are two noticeable clusters of canopy loss within or close to the periphery of the stand. One on the northwest side of OJP, adjacent to a small escarpment ~ 1 km from the flux tower, and another surrounding a small boreal pond ~ 1 km east of the tower. Other areas of canopy cover reduction are found north of HJP75 and south, east and west of the HJP02 stand. The large areas of loss surrounding HJP02 are due to post-harvest mortality and/or selective thinning.
3.3 Total live carbon estimates from airborne laser scanning
In 2005, FM plot-level standing live C (SLCplot) within the chronosequence ranged from 0.8 tC ha− 1 at HJP94 to 50.9 tC ha− 1 at OJP. Plot-level SLCALS regression model results are presented in Table 2. The most highly correlated univariate regression model was a power function of the average height of the ‘all return’ point-cloud distribution (Avgall) (r2 = 0.98, RMSE = 2.4 tC ha− 1, n = 22). This model was not chosen, however, for the following reasons: i) it did not pass through the origin, resulting in physically impossible negative SLC predictions from plot data; ii) outside the height range of the training dataset, SLCALS increased unrealistically for small increases in Avgall; iii) when applied to 2008 and 2011 datasets, comparisons illustrated unrealistic changes in SLCALS over locations where biomass was accumulating at a relatively steady state. From Table 2, it is evident that simple linear models with zero origin produced model results that were comparable to non-linear models.
Table 2. Plot-level SLCALS model results at the BERMS jack pine stands. (All models are significant for p < 0.05), where P = percentile; Max = maximum height; Avgall = average height of all returns; SD = standard deviation of all returns; IQRall = interquartile range of all returns; All/1.5 = fractional cover of all returns/all returns above 1.5 m; and All/avg = fractional cover of all returns/all returns above average height.
Point-cloud metric | r2 (all returns) | r2 (all returns > 0.2 m) | ||
---|---|---|---|---|
Linear model through origin | Non-linear model | Linear model through origin | Non-linear model | |
P25 | 0.41 | 0.53 | 0.45 | 0.79 |
P50 | 0.09 | 0.43 | 0.92 | 0.96 |
P75 | 0.96 | 0.97 | 0.94 | 0.94 |
P90 | 0.95 | 0.97 | 0.93 | 0.93 |
P95 | 0.94 | 0.96 | 0.92 | 0.93 |
P99 | 0.92 | 0.92 | 0.91 | 0.91 |
Max | 0.9 | 0.91 | 0.9 | 0.91 |
Avgall | 0.97 | 0.98 | 0.9 | 0.93 |
SD | 0.95 | 0.96 | 0.91 | 0.91 |
IQRall | 0.96 | 0.97 | 0.56 | 0.87 |
All/1.5 | 0.62 | 0.91 | 0.6 | 0.88 |
All/avg | 0.34 | 0.75 | 0.24 | 0.81 |
The optimal model based on regression results, temporal comparisons and physical basis was one using a scaling function of the all return point-cloud interquartile range (IQRall) (r2 = 0.96, RMSE = 3.2 tC ha− 1, n = 22) (Fig. 4). IQRall is an appropriate predictor of SLCplot because it is an index of the overall ground to canopy point-cloud distribution height and density, and, unlike other percentile metrics, has low sensitivity to distribution tails.
The expansion factor e to convert SLC to TLC (Eq. (6)) is presented as an age-variant function in Fig. 5. One of two (HJP94), and two of three (HJP75) single stand measurement periods had e factors outside of the 95% confidence interval. While the data sources have been collected by different individuals and there is a possibility for variations in methodology and data quality (Table 1), it is clear that e decreases with increasing stand-age (Lehtonen et al., 2004 and Peichl and Arain, 2007), approaching stabilization at OJP (Dickson, 1989 and Tobin and Nieuwenhuis, 2007).
Applying the IQRall model of Fig. 4 to derive SLC, and expanding based on Eq. (6)and the function in Fig. 5 to derive TLC, results in the following expression:
7
where (a) is stand-age (years). Applying Eq. (7) to the gridded IQRall ALS data for each of the four jack pine stands produces a spatially explicit map of total living biomass C across the landscape (Fig. 6). Note the spatial variability in TLCALS across each of the stands. In particular, OJP tends to illustrate elevated biomass values at greater distances from the flux tower, while HJP75 and HJP94 both indicate lower biomass levels on the northeast side of the stands. Also note that TLCALS for the HJP02 stand (Fig. 6d) relied on extending the SLCALS model (Fig. 4) to zero and extrapolating Eq. (7) outside the range of e factor observations (Fig. 5). Consequently, the uncertainties associated with the 2005 HJP02 TLCALS estimates are indeterminate.
3.4 Comparisons between modelled live biomass, biomass accumulation and GPP
Stand-level TLCALS was consistently greater than the mean plot-location estimates but were within the 95% confidence interval (Table 3). Proportional differences are greatest at HJP94, where stand biomass exceeds the plot mean by up to 26%. At OJP, stand estimates were consistently ~ 5 tC ha− 1 or ~ 10% higher than plot means. The greatest retention of C in biomass accumulation occurs in HJP94, followed by HJP75, while LCUE is smallest at the youngest and oldest stands.
Table 3. BERMS stand- and FM plot-location TLCALS estimates and the associated differences between years surveyed. Also shown is the LCUE ratio of ΔTLCALS to mean GPP for the study period (GPP periods vary due to data availability).
Stands | Mean TLCALS (tC ha− 1) (± 95% CI) | ΔTLCALS (tC ha− 1) | ΔTLCALS/GPP 2005–2011a | ||||
---|---|---|---|---|---|---|---|
2005 | 2008 | 2011 | 2005–08 | 2008–11 | 2005–11 | %GPP | |
HJP02 | N/A | 0.35 (± 0.03) | 1.00 (± 0.09) | N/A | 0.7 | N/A | 1% |
HJP94 | 1.80 (± 0.16) | 7.00 (± 0.67) | 13.76 (± 1.38) | 5.2 | 6.8 | 12.0 (± 1.6) | 34% |
HJP75 | 28.93 (± 3.27) | 30.86 (± 3.56) | 34.42 (± 4.03) | 1.9 | 3.6 | 5.5 (± 1.7) | 10% |
OJP | 54.47 (± 7.52) | 54.94 (± 7.63) | 55.87 (± 7.80) | 0.5 | 0.9 | 1.4 (± 3.2) | 4% |
Plots | |||||||
HJP94 | 1.65 (± 0.25) | 5.54 (± 0.86) | 11.83 (± 1.75) | 3.9 | 6.3 | 10.2 | 25% |
HJP75 | 28.34 (± 4.43) | 30.50 (± 4.87) | 33.96 (± 5.60) | 2.2 | 3.5 | 5.6 | 12% |
OJP | 49.58 (± 8.17) | 50.30 (± 8.54) | 51.15 (± 8.44) | 0.7 | 0.9 | 1.6 | 9% |
- aEddy-covariance (EC) data availability varies per year and per site. Ratios are for periods when there were EC data.
Plotting mean stand-level TLCALS against age for all stands and sample years produces a Sigmoidal growth trend (Fig. 7). Biomass accumulation rates are small up to approximately 10 years, then increase at the greatest rate between 10 and 30 years of age, and finally decrease as stands approach maturity. Field plot-level biomass TLC data (Howard et al., 2004 and Theede, 2007; and the Fluxnet DIS archive) are comparable to ALS modelled estimates, except for OJP where the Howard et al. (2004) and Theede (2007) plots demonstrate a large negative deviation (> 10 tC ha− 1) from the Sigmoidal growth curve (Fig. 7). While there is no temporal overlap between these historical plot data, the 95% confidence limits in field plot data (80 to 90 years) and stand-level TLCALS data (91 to 97 years) overlap, indicating the sample populations share common values at individual plot and grid cell-levels. Further, while the locations of these historical plots are not accurately known and cannot be directly compared to ALS results, it is known that they are close to the EC flux tower. As observed in Fig. 6, total biomass in the 500 m area surrounding the OJP tower is visibly lower (> 5 tC ha− 1) than most of the stand, so it is likely that a high proportion of the historical CP plot data represent areas containing lower biomass levels than the mean for the entire stand.
3.5 Comparing total live biomass accumulation with NEP
Flux footprint-weights and extents are illustrated over ΔTLCALS for each of the three older stands in Fig. 8. Table 4 provides a summary of the FM plot-location, stand and footprint-weighted estimates of average annual total live biomass C accumulation and NEP at each site. Differences between plot, stand and footprint-weighted ΔTLCALS(Table 4) are not significantly different (based on a paired two-sample t-test for means). Greatest similarity exists between plot- and footprint-level ΔTLCALS (p = 0.38), while larger differences are found between plot- and stand-level (p = 0.12) and between stand- and footprint-level (p = 0.15). When comparing footprint-weighted ΔTLCALS with average NEP, the differences for each stand exceed the 95% CI in NEP but are not in themselves significant at the 95% level of confidence (p = 0.18). This demonstrates that a high proportion of NEP is captured in the ALS-based model of total live biomass C accumulation.
Table 4. Annual live biomass accumulation (ΔTLCALS) at FM plot-locations, stands and within footprints, (± 95% CI from mean in brackets) compared with mean annual NEP using EC methods and biomass accumulation residual (NEP − ΔTLCALS).
Sites | Stand age (years) | Mean annual change in biomass (tC ha− 1 yr− 1) (95% CI) | Mean NEP (tC yr− 1) (95% CI) | NEP − ΔTLCALS (tC ha− 1 yr− 1) | ||
---|---|---|---|---|---|---|
Plot locations | Stands | Footprints | ||||
HJP94 | 11–17 | 1.65 (+ 0.27, − 0.33) | 2.25 (+ 0.82, − 2.09) | 1.54 (+ 0.45, − 0.77) | 0.88 (0.36)a | − 0.66 |
HJP75 | 30–36 | 0.84 (+ 0.18, − 0.27) | 1.05 (+ 0.23, − 0.24) | 0.90 (+ 0.18, − 0.20) | 0.63 (0.14)b | − 0.27 |
OJP | 91–97 | 0.32 (+ 0.30, − 0.31) | 0.35 (+ 0.41, − 0.35) | 0.32 (+ 0.40, − 0.32) | 0.45 (0.13)c | 0.13 |
- aHJP94: NEP data collected from 2001 to 2004, 2009–2011; missing from 2005 to 2008. Gap filling from 2005 to 2008 based on linear regression between years with data (rb = 0.92).
- bHJP75: NEP data collected from 2004 to 2007, 2010; missing in 2008–2009, 2011. NEP estimated based on linear regression from available data used to gap fill years with missing data (r2 = 0.70).
- cOJP: NEP data are complete for all years of study. OJP NEP is least influenced by stand age (r2 = 0.04).
The change in total live C estimated from footprint-weighted ΔTLCALS demonstrates a higher rate of C accumulation in biomass than average NEP at the immature HJP94 and HJP75 stands, whereas at the mature OJP stand the opposite occurs (Table 4and Fig. 9). The residual component, NEP − ΔTLCALS (described in Eq. (5)), represents the change in soil and litter C storage (ΔSC + ΔLC) associated with necromass C. The interpolated curve in Fig. 9, therefore, suggests the soil and litter C pools are a source of ecosystem C in immature stands and a sink of C in older stands.
4 Discussion
4.1 Plot location and within site representivity
Stand-level estimates of TLCALS were greater than mean plot-location estimates at all sites (Table 3). These differences suggest that the FM plots chosen in 2005 to be within the EC flux footprints, while distributed on a pre-determined radial grid up to 500 m from the flux towers (Fig. 1), have systematically over-represented areas of slightly lower biomass (> 5 tC ha− 1) than is typical across the complete stand area. This does not invalidate the ALS models, as the plots represent the range of biomass experienced in the stands but it does illustrate that aggregate plot-based estimates of biomass may not characterise the spatial domain they are assumed to represent. This is further illustrated in Fig. 7, where the CP plot estimates of total live biomass C fall below the more spatially explicit ALS estimates.
Furthermore, the CP plots sampled for OJP by Gower et al. (1997); Howard et al. (2004) and Theede (2007) were from 25 m × 25 m square plots that were revisited by different teams. This suggests two additional factors: i) geometry dictates that unless corner positions, angles and side lengths are accurately surveyed there is a possibility of systematic under-estimation of the area. Even if all side lengths are accurately measured, if any corners ≠ 90° the area will be smaller than that of a perfect square. Similarly, if side lengths are measured along a ground slope instead of horizontally, a systematic areal under-estimate will occur. Therefore, the most likely error in the establishment of a square plot is to underestimate area and total biomass; ii) in observations analogous to Heisenberg's Uncertainty Principle (Heisenberg, 1927), Cahill et al. (2001) found that repeat vegetation plot measurements altered plant structure and impacted rates of herbivory. In a similar study by Semboli et al. (2014), it was found species composition in permanent sample plots varied as a result of repeat measurements. Since the establishment of BOREAS in 1993, there has been many data collection and equipment installation visits to the region surrounding the flux towers. While it is not known if either of the above factors has impacted biomass levels, the possibility of systematically reduced biomass estimates in historical plot data (as observed in Fig. 7) cannot be discounted. Similarly to the FM plots, this does not invalidate the use of the CP plots for biomass expansion factor development but it does indicate that it is not advisable to extrapolate ecosystem estimates of total biomass C from a small number of plots, while further supporting the implementation of non-invasive sampling techniques such as ALS.
4.2 Biomass growth and carbon accumulation
Total live biomass accumulation (TLCALS) over the six years at the stand-level was 12.0 (± 1.6) tC ha− 1 at HJP94, 5.5 (± 1.7) tC ha− 1 at HJP75, and 1.4 (± 3.2) tC ha− 1at OJP, indicating reduced biomass accumulation with stand age. However, biomass accumulation was slightly greater at these three sites between 2008 and 2011, relative to 2005–2008 (Table 3). Given the accelerated growth expected at HJP94 as the young stand ages (Fig. 7), this is to be expected. However, HJP75 and OJP also demonstrated increased growth increment in the latter period despite both stands being beyond the age of accelerating growth as inferred from the growth curve (Fig. 7). Despite the warmer and wetter conditions in the earlier period, reduced biomass accumulation during this time could be a function of tree physiological recovery from the extended drought conditions from 2001 to 2003 (Chasmer et al., 2008a and Kljun et al., 2007). For example, it is known that for the boreal forest species, Norway Spruce (Picea abies, L.), upper stem tree ring width and height increment can take three to four years to recover following an extended drought (Montwé, Spiecker, & Hamann, 2014).
When all chronosequence data are combined (Fig. 7), a Sigmoidal growth relationship between total living biomass C and stand-age is evident. This characteristic growth function has been observed in numerous studies where young stands tend to have less biomass than mature stands, but higher NEP, depending on time since disturbance and recent history (Bhatti et al., 2002, Jandl et al., 2007 and Kurz and Apps, 1999). In mature stands, growth rates decline to the point of stabilization, which occurs between approximately 80–200 years, depending on species type and past disturbance (Pregitzer and Euskirchen, 2004 and Van Tuyl et al., 2005). At this development stage, C inputs into the ecosystem approximate C losses, resulting in low rates of C sequestration and minimal growth (Chapin et al., 2009).
4.3 Live carbon use efficiency (LCUE)
The fraction of GPP captured and stored in live biomass accumulation was lowest within HJP02 and OJP (1% and 4%, respectively), and greatest within the rapidly growing HJP94 (34%) (Table 3). Comparable results were found in Peichl, Brodeur, Khomik, and Arain (2010) within a temperate afforested white pine (Pinus strobus, L.) chronosequence. From their estimate of ecosystem C use efficiency, which they defined as CUE = NEP / GPP, they found that middle-aged stands were more efficient at sequestering C than the youngest and oldest stands. Data in Table 3 and Peichl et al. (2010) suggest that in young pine stands experiencing high mortality due to competition and self-thinning, and in old stands where GPP is used for biomass maintenance, cumulative annual woody biomass increases are small relative to seasonal biomass production and replacement. However, while the observations are consistent, it is important to note that LCUE and CUE are parallel concepts but not equivalent. LCUE considers ecosystem C accumulation in living biomass only, whereas CUE considers all ecosystem inputs and outputs of organic C including soil exchanges.
4.4 Soil carbon storage
The levelling off of jack pine biomass accumulation in Fig. 7 occurs beyond ~ 60 years, broadly coinciding with the age at which the difference between NEP and ΔTLCALS reduces to zero (Fig. 9). This difference primarily represents changes in C storage within the litter (ΔLC) and soil (ΔSC) pools. From Fig. 9, the apparent trend in NEP − ΔTLC (or ΔLC + ΔSC) is characteristic of the soil C dynamics curve (Covington, 1981), and becomes more positive with stand age. This suggests that within a certain range of stand-age, the litter and soil storages transition from a net source to a net sink of ecosystem C. These observations shed new light on the C balance properties within the jack pine chronosequence at BERMS but are not unusual or unexpected results.
Following Covington (1981); Lal (2005) found that soil C content declines sharply through the first ~ 20 years following harvest as a result of lower above-ground biomass, decreasing litter inputs, and changes in localized micro-climate. At HJP02, Howard et al. (2004) found that forest floor C content was 2–3 times greater immediately after harvest than the more mature jack pine stands, while Bhatti et al. (2002) and Kurz et al. (2013) suggest that harvesting creates a large input of coarse woody debris and accelerated decomposition due to reduced foliage cover and soil warming. Further corroboration is found in several studies illustrating that below-ground necromass C allocations decrease with increasing stand age (Law et al., 2001, Litton et al., 2004, Litton et al., 2007, Ryan et al., 2004 and Peichl and Arain, 2007).
4.5 Expansion factor limitations
The weakest link in the workflow presented is the expansion factor analysis required to relate SLC to TLC. Based on the model in Fig. 5 and the mean age of the stands during this study, SLC is expanded by ~ 20% (± 30% at 95% CI) for OJP and ~ 55% (± 15%) for HJP94. These values were constructed from a small number (10) of independent or aggregated CP plot data that likely did not sample the full range of nutrient, age and growth characteristics across each stand. Consequently, more spatially representative plots might increase the 95% CI illustrated in Fig. 5 and propagated into Fig. 9. However, the outliers in Fig. 5 and small sample number have already resulted in a large 95% CI, and this is likely due to the CP plots being collected by different individuals over an 11 year period and using slightly different sample configurations. There may be some compensating effect of these two opposing influences but it is conceivable that the function in Fig. 5 possesses some bias or the 95% CI generated may not be a true estimate of model uncertainty. Nonetheless, compounding the uncertainty from Fig. 5 into the NEP and biomass accumulation comparison in Fig. 9 would further reduce confidence in the illustrated proximity of NEP and biomass accumulation components. This would impact the timing at which the soil and litter store becomes a C sink but would not change the overall trend of a transition from C source to sink. Given biomass expansion factors and their associated uncertainty are critical in quantifying the magnitude and reliability of ΔTLC, it is recommended that the calculation and use of expansion factors in ALS biometry receive serious attention in any future use or refinement of the framework presented.
5 Conclusion
The study has presented a novel integration of diverse datasets, each able to record key components of ecosystem C balance in a forest environment. A boreal jack pine forest chronosequence was studied here but the approach is valid for any regenerating forest ecosystem where: i) EC data are available to provide cumulative estimates of CO2 flux, NEP and spatial footprint weightings of ecosystem flux source; ii) plot data are available to calibrate remote sensing biomass products and construct C pool expansion factors; and iii) temporal ALS (or other high resolution 3D data such as derived from terrestrial laser scanning (TLS) or unmanned airborne vehicle (UAV) platforms) to model the spatio-temporal variation in, and accumulation of, total living biomass C.
Integrating these C assessment techniques does not, at this time, result in ‘standard’ or widely used ecosystem C terms like Net Primary Production (NPP) or Carbon Use Efficiency (CUE); which is typically the ratio of NPP/GPP or sometimes NEP/GPP (e.g. Peichl et al., 2010). However, by combining spatially explicit measurements of ecosystem live biomass C accumulation with EC-based GPP and NEP, new realisations of ecosystem C dynamics are assessed. In particular, through live carbon use efficiency (LCUE), the connection between GPP and total live biomass accumulation (or growth) becomes explicit. This increases the synergy between the fields of atmospheric and ecosystem C assessment, and national or commercial forest inventory monitoring, as it provides a framework to integrate timber growth and yield, ALS-based forest inventory and flux data to produce C metrics that are meaningful to stakeholders from many backgrounds.
Assessing the necromass C balance in detritus and soil organic C is typically invasive, can be highly spatially variable and cannot be easily quantified using non-invasive techniques. However, the framework presented improves our understanding of forest C dynamics, as in addition to directly observing above-ground biomass and NEP, it can indirectly measure the combined litter and soil C trajectory. High resolution remote sensing time series data and EC technologies are becoming simpler to obtain and more cost-effective. Furthermore, new satellite missions, such as NASA's GEDI (Global Ecosystem Dynamics Investigation) and ICESat (Ice Cloud Elevation Satellite) II or ESA's Biomass, will soon be enhancing our capacity to monitor 3D biomass change over large areas so novel methods that integrate in situ and orbital image-derived time-series data are needed. Consequently, there is great potential to test and refine similar integrated C assessment workflows in different ecosystem and data contexts. It is suggested that, ecosystem C monitoring and assessment programs should be designed explicitly to capitalise upon the differences and complementarities in remote sensing, in situ and atmospheric flux observations that have been highlighted and reconciled through this study.
Acknowledgements
We acknowledge prior research and data collection by S. Gower (and group), E. Howard (and group) and A. Theede for archived field plot data. Eva van Gorsel, CSIRO is gratefully acknowledged for early discussions of the analysis and model presented. Data collection assistance in 2005 was provided by Chris Beasy and Bruce Davidson. ALS data collection was coordinated through the Canadian Consortium for Lidar Environmental Applications Research with funding and support from Environment Canada, Natural Resources Canada and the UK Natural Environment Research Council (NERC, Grant NE/G000360/1). EC measurements at the jack pine sites and archival of the FluxNet data information system (DIS) were supported by the Meteorological Service of Canada, the Fluxnet-Canada Research Network, and the Canadian Carbon Program. C. Hopkinson acknowledges funding support from the Natural Sciences and Engineering Council (NSERC) Discovery Grants Program (2015-06463). The authors declare no conflicts of interest.
Appendix A Supplementary data
Google maps
The following KMZ file contains the Google maps of the most important areas described in this article.
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