To calculate the FC balance, we employed the CAR database from January 2022. We only analyzed private properties, excluding thus settlement projects and collective lands, such as quilombola (maroon) territories. Overlaps between CAR boundaries were solved by using a prioritization algorithm. In addition, the model employs as input maps of state and municipal limits, municipal fiscal modules, the limit of Legal Amazon, vegetation distribution, drainage, land use, deforestation, and protected areas.
We used the map of municipalities from IBGE (Brazilian Institute for Geography and Statistics), so as to assign the municipality geocode to each CAR record. Each Brazilian municipality has a size for the fiscal module1. Through the municipality geocode, the size of fiscal module is attributed to the CAR. The FC considers as a small property those from one up to four fiscal modules, a medium property those between 4 and 15 fiscal modules, and as large properties the ones larger than 15 fiscal modules.
Public domain nature conservation units (except for Áreas de Preservação Ambiental–APAs, a land zoning that encompasses mostly private domain) and demarcated indigenous lands2 are used to calculate the percentage of a municipality and a state occupied by these land use categories, and the resulting numbers are assigned to the CAR via the IBGE geocode.
The boundary of the Legal Amazon has been extended several times as a result of changes in the political division of the country. For our modeling exercise, the limit of the Legal Amazon3 was used to set the requirements of Legal Reserve (LR).
Vegetation formations from the Radam-Brasil are used to determine the percentage of LR in the Legal Amazon, i.e., 80% for forest formations, and 35% for other vegetation types. Outside of Legal Amazon, the FC establishes the percentage of 20% of the property for LR. When a property overlaps different biomes (i.e., Cerrado and Amazon), a weighted average is applied.
For calculating APP conservation and restoration requirements, we used the drainage maps, including springs and water bodies, from the National Water and Sanitation Agency (ANA).
Our Land-use map is a mosaic composed of water bodies from ANA, land-use categories identifying native vegetation remnants and agricultural areas (so-called “consolidated areas) from Mapbiomas, (collection 6), and maps of annual deforestation from PRODES-Amazon and PRODES-Cerrado4-8.
We have applied the rules and definitions of the Forest Code (FC)9 for each rural private property from the CAR dataset obtained from SICAR—the Online National Rural Environmental Registry System. In doing so, we provide estimates of the FC level of compliance, i.e., landowners’ deficits—areas that must be reforested at the owners’ expenses, or and surpluses, areas of native vegetation that exceed the FC conservation requirements (See the figure below).
For doing so, we have developed an innovative geoprocessing set of tools that handle big data by employing PostgreSQL and PostGIS extension, and Dinamica EGO 7.* freeware10. This system takes advantage of full parallel processing by using Dinamica EGO framework11 . Dinamica EGO parallel execution system uses a variable number of execution threads (called workers) boosted by task-stealing algorithms to provide load balancing and increase the flexibility for running parallel tasks. In theory, all model components can run in parallel, including independent operators, loops, and map tiles12,13 .
Substantive improvements in our computing capacity and modeling tools enabled fine-scale reanalysis of the FC14,15, making it feasible to estimate the FC balance; i.e., level of compliance, throughout the Brazilian territory at the property-level. These advances allowed us to frog-leap from a 60-meter spatial resolution14 to a 5-meter (the narrowest APP width for restoration) by using parallel processing and memory allocation optimization. All processing relied on the computing resources of the Centre for Remote Sensing16 of the Federal University of Minas Gerais (Belo Horizonte, Brazil). All calculations can be replicated by downloading the software and opening the FC models (csr.ufmg.br/radiografia_do_car) using Dinamica EGO’s user-friendly graphical interface.
To calculate the forest balance (deficit and surpluses), the model first calculates the total area of each property where the law is applicable. Next, the model generates buffer sizes along river, spring and water bodies according to the rules of the FC (See the figure below). To define the buffer width either for APP conservation or restoration requirements, the model uses the property size (defined in the number of fiscal modules as specified for each municipality) and river width. To calculate riparian APP buffer width to be restored, the model applies a set of rules so-called “escadinha” (little ladder), which specifies the buffer size to be restored according to the property size (defined in the number of fiscal modules as specified for each municipality) and river width.
Thereafter, the model applies the FC rules according to the property sizes to define LR requirements. In the Amazon biome, LR can be reduced by up to 50% in municipalities that have more than 50% of their territory occupied by conservation units and indigenous reserves (Art. 12, II – § 4). The FC exempts small landowners (up to 4 fiscal modules) to restore LR debt (Art. 67). In addition, the law establishes a maximum percentage of the property for LR restoration (Art. 61-B), depending on the total extent of its riparian APPs (Art. 15). Here we consider the increase in the size of the Legal Reserve (LR) from 50% to 80% established by Provisional Measures 1,511 of 1996 and 2,166-67 of 2001. THE FC also establishes that the percentage of LR for forest restoration can be reduced to 50% in the Amazon states that have the ecological-economic zoning approved.
In addition, article 68 of the of FC reviewed in 2012 states that landowners that suppressed native vegetation respecting the legislation in force at the time need not to recover LR to the percentage mandated by the current law, i.e., 80%. Therefore, it corrected conflicting past legislation to bring to legality “farms pushed into illegal status”.
The difference in LR definition is the reason that we separated deforestation before 2002 and this year onwards. Deforestation before and after the decree must be analyzed with respect to different specification of LR size. Note that the time of deforestation occurring is also evidence for article 68 of the 2012’s FC as specified in Paragraph 1, as follows:
“Owners of rural properties may prove their history of occupation by documents such as the description of historical facts of the region, commercialization records, data, agricultural activities, contracts and bank documents related to production, and by all other means of evidence permitted by law”17.
The main sequence to obtain the FC balance is depicted in the figure below. For each property, the model subtracts the total area required for LRs from the areas of native vegetation remnants within each private property and the areas of native vegetation within the customized APP buffer sizes to arrive at the level of compliance. We define a positive result as an environmental surplus and a negative result as an environmental deficit.
Uncertainties in the FC estimates arise from overlaps of properties and different drainage bases.
For traceability purpose the results per property are integrated with annual deforestation maps7,8, soy cropping maps (Mapbiomas, collection 7), and GTA documents (permit to transport animals). The analyses of FC thus allow us to map potentially legal or illegal post-2008 deforestation—the amnesty deadline for past-deforesters14 – so as to link deforestation to cattle and soy supply from each cattle ranch or soy farm on the SeloVerde Platform.
In turn, the CAR 2.0 uses spatially explicit modeling tools and mapping based on high resolution images to automatically analyze the environmental compliance of each rural property through the methods described above. Properties without overlaps and without significative LR and APP deficits are thus directed to the Canal Verde (Green light channel), a simplified procedure for joining the PRA based on the producer’s self-statement, hence without the need to rectify the RL features, hydrography, land use and others features input by the producer.
- Instituto Nacional de Colonização e Reforma Agrária – INCRA (2013) Fiscal Modules by municipality of Brazil. Brazil: INCRA. Available at: <https://www.gov.br/incra/pt-br/assuntos/governanca-fundiaria/modulo-fiscal>.
- Centro de Sensoriamento Remoto da Universidade Federal de Minas Gerais – CSR/UFMG (2021) Protected areas. Belo Horizonte, Brazil: CSR/UFMG. Available at: <www.csr.ufmg.br/maps>.
- Instituto Brasileiro de Geografia e Estatística – IBGE (2020) Limit of the Legal Amazon. Brazil: IBGE. Available at: <https://www.ibge.gov.br/geociencias/organizacao-do-territorio/estrutura-territorial/15819-amazonia-legal.html?edicao=30963&t=acesso-ao-produto>.
- Agência Nacional de Águas – ANA (2017) Ottocoded Hydrographic Base 1:250.000 (BHO250). Brasília: ANA. Available at: <https://metadados.snirh.gov.br/geonetwork/srv/por/catalog.search#/metadata/0f57c8a0-6a0f-4283-8ce3-114ba904b9fe>.
- Agência Nacional de Águas – ANA (2019) Water bodies – version 2019. Brasília: ANA. Available at: <https://metadados.snirh.gov.br/geonetwork/srv/por/catalog.search;jsessionid=2D7CA1AA9B2C516E7BA71AE6BF8A65B0#/metadata/7d054e5a-8cc9-403c-9f1a-085fd933610c>.
- Projeto de Mapeamento Anual da Cobertura e Uso do Solo no Brasil – MapBiomas (2021) Land use maps – collection 6 (base digital georreferenciada). Available at: <https://mapbiomas.org/colecoes-mapbiomas-1?cama_set_language=pt-BR>
- Instituto Nacional de Pesquisas Espaciais – INPE (2022) PRODES Project – Deforestation monitoring of the Brazilian Amazon rainforest by satellite. Available at: <http://terrabrasilis.dpi.inpe.br/downloads/>.
- Instituto Nacional de Pesquisas Espaciais – INPE (2022) PRODES Project – Satellite monitoring of the Cerrado biome. Available at: <http://terrabrasilis.dpi.inpe.br/downloads/>.
- Brasil (2012) Lei Federal Nº. 12,727 (17 de outubro de 2012). Available at: <www.planalto.gov.br/ccivil_03/_Ato2011- 2014/2012/Lei/L12727.htm>.
- Soares-Filho BS, Rodrigues HO, Follador M (2013) A hybrid analytical-heuristic method for calibrating land-use change models. Environmental Modelling & Software 43, 80-87.
- Argemiro T. Leite-Filho, Britaldo S. Soares-Filho, Juliana L. Davis, Hermann O. Rodrigues (2020). Guidebook 2.0 Dinamica EGO. Available at: <https://www.csr.ufmg.br/dinamica/dokuwiki/doku.php?id=guidebook_start>.
- Rana S. (1993) A distributed solution of the distributed termination problem. Information Processing Letter 17, 43-46.
- Blumofe R., Leiserson C. (1999) Scheduling multithreaded computations by work stealing. Journal of Association for computing Machinery 46, 720-748.
- Soares-Filho BS, Rajão R, Macedo M, Carneiro A, Costa WLS, Coe M, Rodrigues HO, Alencar A (2014) Cracking Brazil’s Forest Code. Science 344, 363-364.
- Soares-Filho BS, Rajão R, Merry F, Rodrigues H, Davis J, Lima L, Macedo M, Coe M, Carneiro A, Santiago L (2016) Brazil’s Market for trading forest certificates. Plos One 11(4), e0152311.
- Center for Remote Sensing of the Federal University of Minas Gerais (CSR/UFMG). Available at: <www.csr.ufmg.br>.
- Brazil (2012) Federal Law Nº. 12,727 (17 October 2012). Available at: <www.planalto.gov.br/ccivil_03/_Ato2011-2014/2012/Lei/L12727.htm>.