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Article

Spatial Distribution of Secondary Forests by Age Group and Biomass Accumulation in the Brazilian Amazon

1
Instituto Nacional de Pesquisas Espaciais, 1758 Av. dos Astronautas, São José dos Campos 12227-010, Brazil
2
School of Geography, University of Leeds, Leeds LS2 9JT, UK
3
Laboratory of Forest Resources, Measurement and Management (LabFor), Institute of Agrarian Sciences, Federal Rural University of the Amazon, Belém 66077-830, Brazil
4
Royal Botanic Garden Edinburgh, 20A Inverleith Row, Edinburgh EH3 5LR, UK
*
Author to whom correspondence should be addressed.
Submission received: 1 February 2023 / Revised: 18 April 2023 / Accepted: 27 April 2023 / Published: 29 April 2023
(This article belongs to the Special Issue Biomass Estimation and Carbon Stocks in Forest Ecosystems)

Abstract

:
Secondary forests provide essential ecosystem services, especially in helping to mitigate climate change with the storage of carbon in the aboveground biomass of tree species. In this context, the present research aimed to analyze the spatial distribution of secondary forests and estimate the aboveground biomass accumulation of land cover of different ages in the state of Pará. The spatial patterns of the secondary forests in Pará state were evaluated with hot spot analysis algorithms using data from the TerraClass project for the 2004–2014 time period. The results showed that the spatial distribution of the secondary forests did not occur randomly in space, but suggested local geopolitical influences. The younger secondary forests had the most deforested areas during the study period. Approximately 5% of Pará had its secondary forests deforested in 2014. In general, the balance of the secondary forests was positive. The aboveground biomass accumulation differed according to the secondary forest ages during the study period as evaluated in two pilot areas. It was observed that the secondary forests > 10 years old in pilot area A had an average of 23% of old-growth forest aboveground biomass in the same area, while in pilot area B, the secondary forests > 10 years old had an average of 32.7% of old-growth forest aboveground biomass.

1. Introduction

Secondary forests have expanded worldwide in recent decades, mainly in regions with a deforestation history [1]. In the Brazilian Legal Amazon (BLA), the dynamics of secondary forest growth is strongly correlated with agricultural and pastoral activities, which is related to the rise of illegal logging in the last decade [2,3,4]. Furthermore, this type of forest regenerates in previously deforested areas and is seen as a component of the landscape, potentially generating ecosystem services, especially for climate change mitigation [4,5,6,7]. Within this context, this study sought to broaden the understanding of the role of secondary forest regeneration in the current land use and land cover (LULC) change process in the BLA.
Secondary forests are understood as natural vegetation in regeneration. They feature tree species densification, which have already suffered total suppression of the native vegetation since deforestation monitoring began in the Amazon [8,9]. In addition, it is meaningful to understand the dynamics of secondary forest expansion and how these forests are spatially distributed according to the official Brazilian monitoring systems in the Amazon. For this reason, it is helpful to expand the knowledge about the role of the dynamics of the gain, remanence and loss of the secondary forests in the current process of changing the land use and cover in the Brazilian Legal Amazon.
In the BLA, the old-growth forest losses have surpassed the gains for three decades [10]. However, according to the data provided by the Brazilian national land use and land cover monitoring system (TerraClass), the secondary forest areas accounted for 150,800 km2 in the BLA in 2008, which highlights secondary forest regeneration as a potential mitigation for deforestation [9]. As an ecological consequence, the ombrophilous forests are replaced by savanna vegetation [11], causing a large-scale loss of biodiversity and affecting part of the local people’s livelihoods [12]. However, these impacts can lead to lost opportunities for the sustainable use of forests and the production of traditional goods for timber forest management and sustainable non-timber products [13].
In the current scenario, deforestation has been a major environmental problem in the Amazon. Until 2020, the accumulated deforestation rates in the BLA corresponded to 457,237 km2, with the state of Pará being the most significant contributor with 157,374 km2 of deforestation [10]. In 2001, Pará registered an old-growth forest deforestation rate of about 16,728 km2 [10], the highest in the last 20 years for this state. In this context, the secondary forests emerged from previously deforested areas with different land use.
Recent studies show that secondary forests in the BLA may mitigate climate change by sequestering carbon up to 20 times faster than old-growth forests [7]. According to MapBiomas [14], in 2004 the state of Pará had 79.1% of its entire territory covered by forest, and in 2020 this reduced to 74.91%, representing a loss of around 30,000 km2 of the forest, including different types of forest formation. Given the importance of monitoring forest loss and gain, this study selected a land use coverage dataset from the TerraClass project in the state of Pará in the BLA, to analyze a time series from 2004, 2008, 2012 and 2014.
Land coverage monitoring systems are important for understanding the dynamics of forest changes and mapping the forest age. For example, in the Amazon, secondary forest age is the primary driver to estimate aboveground carbon [7]. Within these spatial information policies, decision makers can take actions to mitigate carbon emissions [15], forest management planning and change environmental laws for sustainable use.
Several studies have been attempted to map and quantify the area of the forests in the Amazon for decades, historically based on satellite imagery and monitoring the age of abandoned areas from land use change [4,16,17,18,19,20]. The aboveground biomass storage and carbon sequestration specifically encompassing the forest areas were initially studied using allometric equations and permanent plots [17,21], and later combined with remote sensing technologies and fieldwork [22,23]. Currently, the secondary forests are expanding over more than 129,000 km2, the majority represented by ≤60 year old forests [4,24]. The carbon storage in these forests is about 294 Tg C of storage [7], which represents 45 Mg of aboveground biomass per hectare (using 0.5 g C as the carbon factor conversion from the IPCC; 129,361 km2 based on Smith et al., 2020 [24]).
The biomass of tropical forests has been taking an important role in the global carbon cycle as a source of carbon stock and potential for carbon dioxide emissions in deforested areas. Secondary forest aboveground biomass has been identified as one of the main factors in the global carbon cycle due to the high amounts of carbon that it can stocks for forest successional processes [4,5,25,26]. The aboveground biomass in secondary forests has been estimated using multi-sensor platforms of remote sensing data [5,27,28]. Some studies have contributed to the great importance of the age factor in estimating the aboveground biomass in secondary forests [25,29] but this needs to be further investigated in different regions.
In this context, the present study seeks to answer how the distribution of secondary forests and deforestation occur in two pilot areas in the state of Pará according to the estimation of forest age and aboveground biomass. Based on the above, we tested the hypothesis that Complete Spatial Randomness (CRS) drives the spatial distribution patterns of the secondary forests. For this, we used the TerraClass dataset in a time series analysis to understand how secondary forest distribution occurs in the state of Pará and the dynamics of land use and land cover changes in the region.

2. Materials and Methods

2.1. Study Area

The state of Pará is located in the northern region of Brazil, with an approximate area of 1,248,000 km2 [30], located between the parallels of 2°60′ N and 9°85′ S and the meridians of 58°90′ and 46° W (Figure 1). The state of Pará was selected for this study because it presents a wide variety of vegetation cover and land use, especially secondary forest, resulting in a formation with great complexity and spatial and temporal variability. In 2020, around 74.91% of the entire state was covered by forest, 3.3% by non-forest natural formations, 17.8% by farming, 0.001% by non-vegetated areas and 3.5% by water [14].

Pilot Areas

Two pilot areas were selected for the aboveground biomass estimation, specifically for secondary forest land cover. The first one, named in this paper as region A, is mostly located within the municipality of Paragominas (3°15′ S and 47°30′ W) (Figure 2). This municipality is known for its heavy logging activities from sustainable forest practices since 1960. With the decline in logging activity, the agricultural frontier expanded, mainly with monocultures such as soy and pasture areas. As of 2008, the municipality adopted policies to reduce the environmental impact of the economic activities, which led to a decline in deforestation for the first time in the history of Pará [31]. The second, named region B, is located in the municipality of Belterra (3°5′ S and 54°56′ W), near the Tapajós National Forest (Figure 2). Region B has a history of degradation, logging, anthropic occupation, pasture and agriculture.
More details about the pilot areas are described in the Supporting Information for “Aboveground biomass variability across intact and degraded forests in the Brazilian Amazon” [23].

2.2. Methodological Approach

Figure 3 shows the general flowchart of the methodological approach developed for this study.

2.3. Land Use Change and Secondary Forest Age

Land use and land cover maps were generated for every year under analysis, using the TerraClass thematic classes. The dataset was derived from medium-resolution Landsat-5 TM and MODIS images through supervised classification [8,9], and it was freely available on INPE’s website. The global accuracy of TerraClass mapping was 76.64%, with a 21.5% omission error and a 20.2% commission error for secondary vegetation classes [9]. Then, we imported and preprocessed land use data from the Google Earth Engine (GEE) platform into a raster format. Different rasters were then generated for secondary forest age classes based on previous land use.
Using cartographic modelling [32], rasters with binary values for the absence or presence of secondary forest in each year were used to classify the age interval per pixel of secondary forest. The last year in our time series was 2014. Prior to that, we mapped the 2012 LULC, meaning the minimum age interval for secondary forest was 0 to 2 years old according to the previous LULC. The age classes were based on the difference in the age interval for each year studied, assigning a range from 1 to 5 to each interval, according to Equation (1):
S F a g e = S F y e a r ( a ) + S F y e a r ( a + b ) 2 + [ ] + S F y e a r a + b + c + d + e 5 ,
where S F a g e refers to the secondary forest age class from 1 to 5 for determining the age interval estimation, and S F y e a r refers to the mapped permanent year of secondary forest multiplied by the age class.
An exploratory data analysis was performed using the age classes and the previous land use for each secondary forest was mapped (Table 1).

2.4. Aboveground Biomass Estimation Data

The aboveground biomass carbon density (AGBCD) estimation data were collected from the literature [23]. The data were estimated using airborne LiDAR and calibrated using forest inventory measurements. For the chosen pilot areas, the estimated AGBCD-selected LiDAR metrics were collected between 2012 and 2015 using parametric modelling [23]. The uncertainty of the aboveground carbon density was described for each plot in the pilot areas in the Supporting Information for “Aboveground biomass variability across intact and degraded forests in the Brazilian Amazon” [23]. The data were acquired from the Sustainable Landscapes Brazil project, supported by the Brazilian Agricultural Research Corporation (EMBRAPA), the US Forest Service, USAID and the US State Department in nearby areas with characteristics similar to the pilot area. In addition, the old-growth aboveground biomass data were acquired from plots provided by ForestPlot.net [33].

2.5. Data Analysis

2.5.1. Hot Spot Analysis of Spatial Distribution of Secondary Forests

The geopolitical influence on the variation in the spatial distribution of secondary forests was analyzed and mapped using TerraClass. For this, we applied the Optimized Hot Spot Analysis algorithm from ArcGIS Pro. This algorithm associates an attribute of each feature to the corresponding neighboring elements by mapping locations with statistically higher (hot spot) or lower (cold spot) values than the expected value of the attribute for the total area analyzed [34].
The secondary forest fragments of each age class in raster format with 30 m of the spatial resolution were converted into points to enable the fragment area measurement based on the projected coordinate system South America Albers Equal Area Conic. Each point was assigned the area of its respective polygons given the municipal boundaries. This dataset was used as an input file in the first hot spot analysis, which considered the incidence (density of points) and forest fragment (ha) area with 90, 95 and 99% confidence levels by spatial location on the map. In addition, according to the secondary forest fragments, descriptive statistics for the secondary forest fragments were used to consider the number and area of polygons within every age class.

2.5.2. Hot Spot Analysis of Spatial Distribution of Deforestation in Secondary Forests

To map deforestation, To map deforestation, we subtract the secondary forest area in two different periods along the time series to detect the loss of secondary forest. Then, we applied the Optimized Hot Spot Analysis algorithm using the area of secondary forest deforestation as input for each year in the time series. We considered the area of secondary forest deforestation (ha) with 90, 95 and 99% confidence levels by spatial location on the map, including areas where the deforestation occurred more than once.

2.5.3. Secondary Forest Net Balance

We selected the secondary forest incidence and deforestation areas to calculate the balance in the study period. Then, the data were analyzed in pairs to verify the cumulative secondary forest (accumulated SF mapped in the final year of analysis), the gain (new secondary forest mapped), the remaining (permanent SF), the loss (remain subtracted from the previous cumulative year) and the net balance (total secondary forest mapped: Remain + Gain − Loss).

2.5.4. Aboveground Biomass Estimation for Different Secondary Forest Age Classes

To estimate the aboveground carbon density, we selected the secondary forest fragments for each plot with the aboveground biomass estimation data collected from the literature. Then, after applying the method described to estimate the age interval for the time series we interpolated the aboveground biomass data with the secondary forest fragments. The old-growth aboveground biomass data for the nearby regions were then considered to compare the aboveground biomass accumulation results. According to the secondary forest fragments, a descriptive statistic was also used to collect information the interpolation of the aboveground biomass data for every age class. We applied a Kolmogorov–Smirnov test to check the normality of the data and computed a two-way analysis of variance (ANOVA) for unbalanced designs to test the null hypothesis that the mean aboveground biomass for different age intervals in the secondary forest had no difference in the two pilot areas. Finally, we applied a Tukey multiple comparisons test at a 95% family-wise confidence level to verify which classes differed in aboveground biomass accumulation.

3. Results

3.1. Secondary Forest Spatial Distribution Patterns

Using hot spot analysis, we detected the hot and cold spots for secondary forest incidence in Pará state, according to the age classes (Figure 4). In general, the spatial distribution of the secondary forests in Pará presented a hot spot pattern in the northeast region of the state, and also along the main highways and harbor areas of the state. The oldest mapped secondary forests in Pará state (Figure 4A,B) presented similar patterns of cold and hot spots. These areas of hot spots were regions with long historic LULC changes. Compared with the other age intervals, the secondary forests of 4 to 6 years in age (Figure 4C) had very defined locations across the state. On the other hand, the youngest mapped secondary forest incidence connected the eastern side of the state with the Baixo Amazonas mesoregion (Figure 4D,E). To summarize the incidence of the secondary forests, Figure 4F grouped the entire time series representing hot spot and cold spot areas.
The same analysis was performed for secondary forest deforestation (Figure 5). A specific age interval could not define the pattern of deforestation for the study area. The regions with the highest incidence of secondary forests presented the hottest spot areas for deforestation. On the other hand, the map showed a few parts where deforestation occurred more than once in the time series. Further, the cold spot areas were primarily located in the protected areas, highlighting the importance of environmental protection laws.
The total area of secondary forest deforested in 2014 was 64,396.91 km2, which represented around 5% of Pará’s territory. The youngest age interval of 0–2 years old had the most deforested area of 23,465.4 km2, which represented the fast changes in land use and land cover in a short period. The oldest secondary forest (>10 years old) had 16,653.2 km2 deforested in 2014 (Figure 6).

3.2. Secondary Forest Net Balance

We divided the temporal data into different intervals according to the available data to extract the area of secondary forest balance mapped for the study period. The cumulative area did not vary much along the time series; the average for the time interval of analysis was 65,275.0 km2 of secondary forest (Figure 7A). As shown in the balance (Figure 7B), a considerable proportion of the area remained growing during the time series, with some gains (new secondary forest mapped) and losses. Therefore, the secondary forest balance was still positive with a higher net balance in 2008–2010 (Figure 7C).

3.3. Aboveground Biomass Estimation for Different Secondary Forest Age Classes

To point out the deforestation of secondary forests, it was essential to understand how this has impacted the aboveground biomass recovery over the years. We analyzed the carbon density in the aboveground biomass (MgC.ha−1) in two municipalities in the state of Pará (regions A and B). Similar findings were observed in the age classes, where the accumulation of aboveground biomass in the two municipalities was different over time. Over the years, the secondary forests stored different amounts of carbon per hectare/year according to their age classes. It was observed that the secondary forests > 10 years old in pilot area A had an aboveground biomass average of 23% of old-growth forest in the same region, while the secondary forests > 10 years old in pilot area B had an average of 32.7% of old-growth forest aboveground biomass (Figure 8).
The lowest aboveground biomass estimates by age group occurred in the 0−2 years old interval with a mean and standard deviation of 27.10 ± 20.98 and 17.18 ± 19.67 MgC.ha−1 for region A and region B, respectively. On the other hand, the age class that grouped the secondary forests over 10 years old had the highest mean aboveground biomass with 66 ± 37 and 77.01 ± 39.22 MgC.ha−1 (Table 2). Region A presented a higher aboveground biomass in the early age groups (0−4 years old), while region B presented a higher mean as the secondary forest aged (≥4 years old).
Using a two-way analysis of variance (Table 3), we verified that there was a significant accumulation of aboveground biomass (p < 0.001) over time in the age classes of the secondary forests. Moreover, it could be stated that there was a significant difference (p < 0.001) between the aboveground biomass in the two regions (A and B) related to the accumulation of aboveground biomass in the period studied, denoting that regional variations (quality of the site) might influence the recovery of the aboveground biomass.
Furthermore, we applied a Tukey test at a 95% family-wise confidence level and found that for both regions in the same age interval, class 2 (2–4 years old) and 3 (4–6 years old) did not show a significant difference in the aboveground biomass accumulation (Table 4). The results showed that, in general, region B (western Pará) presented a higher aboveground biomass accumulation as the secondary forests aged when compared with region A, except for class 4 (4–6 years old) in region B, which did not show the mean difference with class 3 (4–6 years old) in region A.

4. Discussion

This study proposed using the national land use and land cover system (TerraClass) to classify secondary forest age and to estimate the aboveground biomass accumulation in the Amazon region (Pará state). The results emphasized the need for mapping and understanding the dynamics of secondary forests in the regional carbon balance. The dynamics of the LULC changes in tropical regions shift the carbon balance. Furthermore, the knowledge of aboveground biomass dynamics in secondary forests in the context of changes in LULC has an essential role in the global carbon cycle [5,35,36] and needs to be further investigated.
Pará’s eastern region has had municipalities with great economic activity in logging activities and forest management since the 1960s. With the decline in wood activity, the agricultural frontier expanded, mainly with monocultures such as soy and pasture areas. As of 2008, a few municipalities adopted policies to reduce the environmental impact of the economic activities, which led to a decline in deforestation for the first time in the history of Pará state [31].
According to the biennial report of the Green Municipalities Program 2013−2014 [37], the reasons for the reduction in deforestation were: (i) the restriction on rural credit, (ii) the list of embargoed areas, (iii) the list of municipalities that most deforested the Amazon due to the imposition of various administrative restrictions in these municipalities, (iv) the accountability in the meat production chain; and, last but not least, (v) the strengthening inspection operations. However, in 2008 about 45% of the municipality’s natural vegetation area had already been deforested [38].
We performed the hot spot analysis to test the CRS. The spatial distribution patterns of the secondary forests did not present CRS, although the occurrence of secondary forests was mostly along the main roads and harbors, regions where the old-growth forest had historically been deforested. The spatial distribution of secondary forest might be influenced by climate [7,36], the history of LULC [27,39] and other environmental factors [40,41].
The net balance of the secondary forest demonstrated the need for forest management improvement. In Pará state, there were municipalities that had already deforested almost all of their old-growth forests; therefore, they sought resources from other LULC such as secondary forests. The need to protect secondary forests is something that has to be discussed in different spheres of society, and its loss can occur for several reasons, even due to the lack of an official definition of when a forest begins to be considered as secondary forest [2].
Moreover, the result obtained using the proposed method corroborated with what was found in the literature [6], where in secondary forests in the neotropical region, different amounts of aboveground biomass accumulated in distinct areas. Secondary forests sequester carbon as one of its ecological functions. Some studies state that secondary forests can sequester carbon in tropical regions up to 20 times faster than old-growth forests. These studies indicate that the pressures influencing carbon sequestration vary within sites, age, environmental conditions, and regrowth rates [7,42,43]. These findings show the importance of monitoring secondary forest sites in the Amazon region. However, the old-growth forests are still the most important driver in the Brazilian Amazon carbon balance [22,24].
In general, region B, located in western Pará, accumulated more aboveground biomass compared to region A (eastern Pará). A recent study found that young secondary forests (<20 years old) from the western Amazon regions absorb ~60% higher rates when compared to the eastern regions [7]. The drivers of the aboveground biomass changes were usually explained by previous land use [27,39], age [2,15,26] environmental factors [7,40,44] and mainly the climate, which could influence the occurrence and the quality sites of secondary forests, and thus impact the aboveground biomass accumulation [7].
In the Amazon, previous land use and land cover may have a negative impact on the secondary forest aboveground biomass if the area has suffered repeated burning events. The growth rate can also be affected by the LULC history [39]. The history of LULC also has an impact on the aboveground biomass estimates. A study conducted in the Amazon using L-band Synthetic Aperture Radar found that the LULC history information explained 71% of the AGB when used in the input model [27]. Furthermore, the LULC information is crucial in determining the secondary forest age using cartographic modeling, and for consideration in discussions of the aboveground biomass accumulation in different sites.
Secondary forest age has been considered as one of the most important variables influencing aboveground carbon in the BLA [2,7]. The age may affect the rates that secondary forests in tropical regions can accumulate carbon. The younger secondary forests have higher aboveground biomass rate variation [5,29], but as the forest succession process occurs these rates are downgraded [25]. Thus, mapping the secondary forest age allows further investigation into the accumulation of the aboveground biomass. In our study, the data limitation did not allow us to investigate longer time series and estimate aboveground biomass for a higher range of secondary forest ages. Therefore, improving LULC mapping is an important tool to estimate age in the longer time series and to explore more information about the secondary forests.
Further, as the secondary forests are not officially protected by any specific Brazilian environmental legislation, national monitoring systems such as TerraClass and MapBiomas are crucial for surveying the data and beginning new discussions on the environmental panel. This would also benefit the Brazilian Amazon by reducing the emissions from deforestation and forest enhancements (REDD+) programs improving forest carbon stocks, following the Intergovernmental Panel on Climate Change (IPCC) [45,46,47]. On the other hand, it is unusual to have dense airborne LiDAR data available in the Amazon region or repeated acquisitions to monitor the changes in the forest structure, which makes it difficult to estimate AGB with high spatial resolution and monitoring efforts for REDD+ [48].
New data products and sensors with a high potential to estimate biomass, such as the Global Ecosystem Dynamics Investigation (GEDI) [49] and the Biomass European Space Agency’s forest mission [50] with active sensors, are able to measure the structure of the forest and have a huge potential to monitor the forest carbon and contribute to the IPCC reports. To attend to the demands of REDD+ with the results based on actions fully measured, reported and verified (MRV), we need to have a better understanding of the spatial distribution of the forests and local data to calibrate the estimates. Here, we presented two pilot areas with restricted data that have the potential to upscale using orbital sensors and have continuous monitoring if related to temporally continuous data. These areas can also assist aboveground biomass estimation models for secondary forests.

5. Conclusions

The land use and land cover monitoring system revealed cold and hot spots in the distribution of the secondary forest in Pará state. Although the balance of the secondary forests was positive, the gains and losses varied over the period studied. In addition, the aboveground biomass accumulation differed according to the secondary forest ages during the study period as evaluated in the two pilot areas. As the old-growth forest was cleared in the Brazilian Amazon, the new LULC changes were mostly used for agriculture and pasture, then after years of exploring these LULC, new secondary forests regenerated from those areas. For this reason, new environmental legislation and official monitoring systems are crucial to develop strategies to protect the secondary forests in the Brazilian Amazon.

Author Contributions

Conceptualization, G.M.d.S., M.A., D.G., R.G.M.N. and F.E.; Methodology, G.M.d.S., M.A., D.G., Y.W. and F.E.; Supervision, M.A., D.G., R.G.M.N. and F.E.; Writing—original draft, G.M.d.S., M.A., D.G., R.G.M.N. and F.E.; Writing—review and editing, G.M.d.S., M.A., D.G., R.G.M.N., Y.E.S. and F.E. All authors have read and agreed to the published version of the manuscript.

Funding

This research was funded by the Improvement of Higher Education Personnel (CAPES—financing code 001), and Newton Advanced International Fellowship (NAF\R1\180405). Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) for the Research Productivity Fellowship of M. Adami (PQ—306334/2020-8), and Y. Shimabukuro (grant 303299/2018-5).

Data Availability Statement

All data and code used in the current study are available from the corresponding author on reasonable request.

Acknowledgments

This work was supported and founded by the Improvement of Higher Education Personnel (CAPES—financing code 001). The authors thank the Federal Rural University of the Amazon (UFRA), especially to the Laboratory of Forest Resources, Measurement and Management (LabFor), the University of Leeds and Instituto Nacional de Pesquisas Espaciais (INPE) for research support.

Conflicts of Interest

The authors declare no conflict of interest.

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Figure 1. Land use and land cover map of Pará state according to TerraClass for 2014.
Figure 1. Land use and land cover map of Pará state according to TerraClass for 2014.
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Figure 2. Pilot study areas in Pará state.
Figure 2. Pilot study areas in Pará state.
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Figure 3. Flowchart of the methodological approach [23].
Figure 3. Flowchart of the methodological approach [23].
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Figure 4. Hot spot analysis of secondary forest incidence in Pará state by age class. (A) >10 years old; (B) 6 to 10 years old; (C) 4 to 6 years old; (D) 2 to 4 years old; (E) 0 to 2 years old; (F) total incidence between 2004 and 2014.
Figure 4. Hot spot analysis of secondary forest incidence in Pará state by age class. (A) >10 years old; (B) 6 to 10 years old; (C) 4 to 6 years old; (D) 2 to 4 years old; (E) 0 to 2 years old; (F) total incidence between 2004 and 2014.
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Figure 5. Hot spot analysis of secondary forest deforestation in a time series. (A) Deforestation in 2008; (B) Deforestation in 2010; (C) Deforestation in 2012; (D) Deforestation in 2014; (E) Repeated deforestation in 2008 and 2012; (F) Repeated deforestation in 2008 and 2014; (G) Repeated deforestation in 2010 and 2014; (H) Accumulated deforestation for the time series.
Figure 5. Hot spot analysis of secondary forest deforestation in a time series. (A) Deforestation in 2008; (B) Deforestation in 2010; (C) Deforestation in 2012; (D) Deforestation in 2014; (E) Repeated deforestation in 2008 and 2012; (F) Repeated deforestation in 2008 and 2014; (G) Repeated deforestation in 2010 and 2014; (H) Accumulated deforestation for the time series.
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Figure 6. Deforestation of secondary forest in Pará state (2014).
Figure 6. Deforestation of secondary forest in Pará state (2014).
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Figure 7. Secondary forest balance in Pará. (A) Cumulative = Accumulated SF mapped in the final year of analysis; (B) Gain = New secondary forest mapped, Remain = Permanent SF, Loss = Remain-previous cumulative year; (C) Net balance = Total secondary forest mapped (Remain + Gain − Loss).
Figure 7. Secondary forest balance in Pará. (A) Cumulative = Accumulated SF mapped in the final year of analysis; (B) Gain = New secondary forest mapped, Remain = Permanent SF, Loss = Remain-previous cumulative year; (C) Net balance = Total secondary forest mapped (Remain + Gain − Loss).
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Figure 8. Distribution of aboveground biomass carbon density by secondary forest age class group.
Figure 8. Distribution of aboveground biomass carbon density by secondary forest age class group.
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Table 1. Classification of secondary forest age in age interval.
Table 1. Classification of secondary forest age in age interval.
Age Interval
(Years)
Class20042008201020122014
0 to 21Non-Secondary ForestNon-Secondary ForestNon-Secondary ForestNon-Secondary ForestSecondary Forest
2 to 42Non-Secondary ForestNon-Secondary ForestNon-Secondary ForestSecondary ForestSecondary Forest
4 to 63Non-Secondary ForestNon-Secondary ForestSecondary ForestSecondary ForestSecondary Forest
6 to 104Non-Secondary ForestSecondary ForestSecondary ForestSecondary ForestSecondary Forest
>105Secondary ForestSecondary ForestSecondary ForestSecondary ForestSecondary Forest
For each year, every pixel classified as secondary forest was checked against its previous classification to determine the age interval. According to the previous land use and land cover, the age range of secondary forest was classified to fit the age range estimation of the forest.
Table 2. Descriptive statistics for aboveground biomass carbon density (MgC.ha−1).
Table 2. Descriptive statistics for aboveground biomass carbon density (MgC.ha−1).
Age Interval (Years)Region ARegion B
X σ σ 2 N X σ σ 2 N
0 to 227.1120.98439232617.1819.67387155
2 to 443.4838.67149254538.1731.46990478
4 to 645.9640.671654133346.1832.571061141
6 to 1043.9724.03576183575.8643.721911284
>1066.0037.001369450877.0139.2215382828
Old-growth forest287.0795.50912013235.5041.78174529
X = mean; σ = standard deviation; σ 2 = variance; N = number of observations.
Table 3. Analysis of variance test (ANOVA).
Table 3. Analysis of variance test (ANOVA).
Source of VariationDfSum SqFvaluePr (>F)
(Intercept)11,709,1231454.573<2.2 × 10−16 ***
Age class532,15,260547.279<2.2 × 10−16 ***
Region114,31912.1870.0004828 ***
Age class + Region5282,40648.069<2.2 × 10−16 ***
Residuals14,46916,995,190
Signif. codes: 0 ‘***’.
Table 4. Tukey multiple comparisons of mean test at 95% family-wise confidence level.
Table 4. Tukey multiple comparisons of mean test at 95% family-wise confidence level.
Interactiondifflwruprp adj
B−A8.3117.0549.5690.000
A−1−A−216.37411.04221.7060.000
A−1−A−318.85515.00722.7030.000
A−1−A−416.86213.36420.3600.000
A−1−A−538.89536.03441.7550.000
A−1−A−7259.966228.805291.1270.000
B−1−A−1−9.927−19.221−0.6320.024
B−1−A−211.0675.44016.6930.000
B−1−A−319.0719.35428.7890.000
B−1−A−448.75741.71555.8000.000
B−1−A−549.89946.76353.0350.000
B−1−A−7208.398187.463229.3330.000
A−2−A−32.481−3.2158.1770.959
A−2−A−40.488−4.9775.9541.000
A−2−A−522.52117.44027.6020.000
A−2−A−7243.592212.149275.0350.000
B−2−A−1−26.300−36.499−16.1010.000
B−2−A−2−5.307−12.3281.7140.359
B−2−A−32.698−7.88813.2841.000
B−2−A−432.38424.18440.5830.000
B−2−A−533.52528.28438.7670.000
B−2−A−7192.024170.673213.3760.000
A−3−A−4−1.993−6.0242.0390.904
A−3−A−520.04016.54823.5320.000
A−3−A−7241.111209.886272.3370.000
B−3−A−1−28.781−38.289−19.2740.000
B−3−A−2−7.788−13.761−1.8160.001
B−3−A−30.217−9.70510.1381.000
B−3−A−429.90322.58137.2250.000
B−3−A−531.04527.32334.7660.000
B−3−A−7189.543168.513210.5740.000
A−4−A−522.03318.93025.1350.000
A−4−A−7243.104211.920274.2880.000
B−4−A−1−26.789−36.160−17.4170.000
B−4−A−2−5.795−11.549−0.0420.046
B−4−A−32.209−7.58212.0011.000
B−4−A−431.89524.75139.0400.000
B−4−A−533.03729.67936.3960.000
B−4−A−7191.536170.567212.5050.000
A−5−A−7221.071189.952252.1900.000
B−5−A−1−48.821−57.974−39.6690.000
B−5−A−2−27.828−33.217−22.4390.000
B−5−A−3−19.823−29.405−10.2410.000
B−5−A−49.8633.00816.7170.000
B−5−A−511.0058.31713.6920.000
B−5−A−7169.503148.631190.3750.000
B−7−A−1−269.892−302.244−237.5410.000
B−7−A−2−248.899−280.393−217.4050.000
B−7−A−3−240.894−273.370−208.4190.000
B−7−A−4−211.209−242.986−179.4310.000
B−7−A−5−210.067−241.212−178.9210.000
B−7−A−7−51.568−88.964−14.1720.000
B−1−B−220.99310.63731.3490.000
B−1−B−328.99815.95942.0370.000
B−1−B−458.68447.49569.8730.000
B−1−B−559.82650.58369.0680.000
B−1−B−7218.325195.656240.9930.000
B−2−B−38.005−2.73318.7420.381
B−2−B−437.69129.29746.0850.000
B−2−B−538.83333.29244.3730.000
B−2−B−7197.331175.904218.7590.000
B−3−B−429.68618.14341.2280.000
B−3−B−530.82821.16040.4960.000
B−3−B−7189.327166.482212.1720.000
B−4−B−51.142−5.8328.1161.000
B−4−B−7159.641137.799181.4820.000
B−5−B−7158.499137.587179.4100.000
Region: A, B; Age classes: 1−5.
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da Silva, G.M.; Adami, M.; Galbraith, D.; Nascimento, R.G.M.; Wang, Y.; Shimabukuro, Y.E.; Emmert, F. Spatial Distribution of Secondary Forests by Age Group and Biomass Accumulation in the Brazilian Amazon. Forests 2023, 14, 924. https://0-doi-org.brum.beds.ac.uk/10.3390/f14050924

AMA Style

da Silva GM, Adami M, Galbraith D, Nascimento RGM, Wang Y, Shimabukuro YE, Emmert F. Spatial Distribution of Secondary Forests by Age Group and Biomass Accumulation in the Brazilian Amazon. Forests. 2023; 14(5):924. https://0-doi-org.brum.beds.ac.uk/10.3390/f14050924

Chicago/Turabian Style

da Silva, Gabriel M., Marcos Adami, David Galbraith, Rodrigo G. M. Nascimento, Yunxia Wang, Yosio E. Shimabukuro, and Fabiano Emmert. 2023. "Spatial Distribution of Secondary Forests by Age Group and Biomass Accumulation in the Brazilian Amazon" Forests 14, no. 5: 924. https://0-doi-org.brum.beds.ac.uk/10.3390/f14050924

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