1. Introduction
Marine ecosystems regulate carbon through primary production, consumption, remineralization, lateral transport, sedimentary burial, and exchange with deeper reservoirs [
1,
2]. Established coastal blue-carbon protocols apply primarily to mangroves, tidal marshes, and seagrasses, where local biomass and sediment stocks can be measured using standardized accounting methods [
2,
3]. Macroalgal systems differ because production is commonly detached from the eventual location of deposition or preservation [
4,
5,
6,
7,
8]. Consequently, assessments of kelp-related carbon pathways should begin as source-to-fate screening exercises rather than as direct extensions of sediment-based blue-carbon accounting.
We use four terms with distinct meanings. Production is organic carbon fixed at the source habitat; export is physical transport away from that habitat; long-term retention is a scenario fraction remaining outside rapid recycling over a stated interval; and sequestration requires demonstrated transfer to a durable sink with quantified permanence. No export flux, depositional sink, burial rate, or permanence was measured in this study. Marine spatial planning is therefore justified primarily by the species’ endangered, endemic, habitat-forming status, while the carbon analysis identifies hypotheses and monitoring priorities rather than a verified mitigation asset [
9,
10]. Accordingly, conservation and marine spatial planning recommendations remain warranted independently of the magnitude—or even the existence—of long-term carbon retention, because they are grounded in the endangered, endemic, and habitat-forming status of
L. abyssalis rather than in an assumed climate-mitigation function.
Mesophotic kelps operate under strong light limitation, and productivity at 45–70 m depends on water clarity, seasonal irradiance, nutrient supply, temperature, and hydrodynamic exposure. Along the central Brazilian margin, Brazil Current meanders, shelf-break upwelling, South Atlantic Central Water intrusions, and the Vitória–Trindade Ridge can enhance exchange across the shelf and shelf break [
7,
11]. These processes make lateral transport physically plausible, but they do not demonstrate that
L. abyssalis detritus reaches a persistent sink. Interannual variability in these processes also means that static multi-decadal scenarios cannot be interpreted as forecasts.
Productivity research on Laminariales spans several decades and multiple temperate and polar systems [
12,
13,
14,
15,
16]. However, estimates differ substantially among species, depth, method, season, and environmental setting. The global NPP dataset used here contained 133 positive
Laminaria observations from seven taxa and 26 source references, with measurement years spanning 1967–2019; only one record overlapped the 45–70 m analytical interval. We therefore use the broader literature to quantify genus-level transferability, not to assume local physiological equivalence with
L. abyssalis.
The currently accepted taxon
Laminaria abyssalis is an endemic Brazilian habitat-forming kelp associated with rhodolith and rocky substrates [
9,
17]. Endemism does not imply greater or lower photosynthetic capacity; it primarily increases conservation sensitivity to regional disturbance and limits direct transferability from cosmopolitan congeners. Rhodolith calcification and kelp production have different inorganic-carbon consequences, and no net climate balance for this coupled kelp–rhodolith system is calculated here [
18]. The 45–70 m interval represents the documented and modeled analytical depth range used for screening, not an absolute physiological boundary.
Projected warming may contract suitable habitat for
L. abyssalis, while proposed offshore infrastructure may introduce seabed disturbance, anchoring, cable installation, sediment resuspension, and local hydrodynamic changes [
9,
10]. Artificial structures could also provide hard substrate, but colonization benefit cannot be assumed and would not compensate automatically for impacts on endemic natural habitat. The analysis therefore supports precautionary site-specific surveys rather than categorical claims that every development cell will destroy kelp habitat. Historical harvesting and long-term industrial alteration of baseline biomass could not be assessed because the available observations do not constitute a temporally standardized monitoring series.
We addressed four testable analytical expectations: (1) sparse positive-only observations would not support reliable regional biomass interpolation; (2) regional totals would scale directly with assumed occupied area and the selected genus-level productivity analog; (3) incorporating the broader historical
Laminaria literature would produce a wide extrapolation envelope rather than a narrow local uncertainty estimate; and (4) retained-carbon equivalents would be dominated by the assumed long-term fraction and by the spatial definition of the 45–70 m support. We imported, rather than updated, the previously published SDM [
9], assessed its depth-constrained support, tested IDW against a non-spatial benchmark, audited the broader productivity literature, and quantified deterministic scenarios without treating suitability or biomass observations as validated abundance.
The study is therefore an ecological screening assessment with management implications, not a policy framework or carbon-crediting protocol. Its primary outputs are the documented failure of biomass interpolation, a more conservative fractional-depth area audit, transparent scenario dependence, and a field-validation sequence. The biodiversity and conservation value of L. abyssalis remains independent of whether future measurements identify substantial, negligible, or zero long-term carbon retention.
2. Materials and Methods
2.1. Study Area and Analytical Scope
The study area extends along the central Brazilian continental shelf between the southern Abrolhos region and the Cabo Frio/Rio de Janeiro sector [
9,
10]. The region is influenced by the Brazil Current, cyclonic meanders, shelf-break upwelling, South Atlantic Central Water intrusions, variable shelf width, and the Vitória–Trindade Ridge [
7,
11]. These features provide regional context for potential transport and environmental variability; no current-meter, particle-tracking, or source-to-sink model was used to quantify kelp-detritus pathways. The study area and available observations are shown in
Figure 1.
2.2. Imported Habitat-Suitability Layer and Retained Kelp Domain
A present-day ensemble species distribution model raster for
L. abyssalis was imported unchanged from Anderson et al. [
9]. It was not refitted or updated in this study. The continuous suitability surface was retained for mapping and model-domain context; the analytical 45–70 m support was defined by non-NA SDM coverage intersected with the depth criterion, without applying a suitability threshold to infer occupancy [
9,
19]. Suitability values were not interpreted as abundance, occupied cover, biomass, productivity, export, or retained carbon. The uncropped input raster is provided as
Figure S2.
The supplied SDM and bathymetric rasters had identical coordinate reference systems, extents, resolutions, dimensions, and cell alignment; therefore, no bathymetric resampling was required for the files used in the final analysis. Center-cell depths between 45 and 70 m retained 169 cells and defined a 13,520.84 km
2 planimetric upper-bound audit. To address within-cell bathymetric heterogeneity, GEBCO 2025 [
20] was classified at native resolution and averaged to the SDM grid to estimate the fraction of each coarse cell lying within 45–70 m. The resulting primary fractional-depth support was 12,514.60 km
2, 7.44% below the center-cell upper bound. Areas are two-dimensional planimetric estimates and do not include seabed rugosity.
An earlier 0.25 suitability threshold was retained only as a reproducibility audit of the previous workflow; it did not determine the 169 cells, fractional area, NPP, or retained-carbon scenarios. Inclusion in the current analytical support was based on non-NA SDM coverage and depth, not on a suitability cut-off or inferred occupancy. A rhodolith-mask overlap retained 62 cells and 4558.23 km2 of fractional-depth area, but this result is supplementary because the available substrate raster has incomplete coverage.
The 23 positive biomass observations used in the spatial diagnostic were compiled from previously published and publicly accessible sources and retain the quantitative fields required for the present analysis: geographic coordinates and biomass values (kg km
−2). The complete observation-level dataset is supplied in
Supplementary Table S1a, together with raster-cell assignment, model-support status, center-cell bathymetry, and overlap with the 45–70 m analytical domain. All verifiable study- or source-level metadata documented in the cited literature—including sampling periods, reported depths, biomass measurement conventions, and collection procedures—are summarized in
Supplementary Table S1b [
9,
10,
17,
21,
22,
23]. To preserve data provenance, these literature-derived attributes are reported at the level supported by each source and are not assigned to individual observations unless a direct record-level linkage is documented. This separation preserves the integrity of the coordinates and biomass values used in the interpolation diagnostic while preventing unsupported attribution of source-level information to specific records. Because the dataset consists of positive observations rather than a systematic presence–absence or temporally standardized survey, it was used to assess spatial interpolation and not to estimate occupied fraction or historical change; no biomass-to-carbon conversion was applied to these records.
IDW was evaluated solely to test whether the positive biomass observations supported spatial prediction [
24]. Nineteen unique cells were used because all records fell within the raster extent; only seven intersected the 45–70 m center-cell domain. Distances were calculated between native SDM raster-cell centroids projected to EPSG:5880, whereas maps were displayed in EPSG:4326. Coordinate transformation affected distance calculation and display only; raster cell geometry and area calculations remained on the native aligned grid.
For each held-out biomass cell
i, the IDW prediction
i was the distance-weighted mean of the remaining cell means
Bj, with weights
wij =
dij−p. The
p = 0 case assigned equal weights and served as a non-spatial leave-one-out mean benchmark [
24].
Candidate powers were evaluated from p = 0 to p = 3.0 in increments of 0.05. Kriging was not adopted because 19 strongly right-skewed, positive-only, spatially discontinuous cells were insufficient to estimate and validate a stable variogram; applying a more complex geostatistical model would have produced an error surface without establishing reliable ecological signal. IDW was retained only as a transparent diagnostic of the data limitation.
For each power, we calculated RMSE, MAE, mean bias, Pearson
r and
p, Spearman
ρ and
p, and the intercept and slope of observed versus leave-one-out predictions. A positive-power model was considered informative only if it reduced RMSE relative to
p = 0 and produced a positive observed–predicted association. Complete results for
p = 0–3.0 are supplied in
Table S2.
Leave-one-out cross-validation was used as an internal interpolation diagnostic, not as independent validation or spatial-block cross-validation [
24,
25]. With only 19 cells and seven within the retained domain, a defensible spatial blocking design was not available. Failure to outperform
p = 0 was interpreted as evidence against regional biomass interpolation; accordingly, no IDW biomass surface entered any NPP or carbon calculation.
2.3. Area-Based Productivity Analog and Deterministic Retained-Carbon Scenarios
The global seaweed productivity dataset [
13] provided a reproducible audit of the broader historical evidence base. The exact-genus subset contained 133 positive
Laminaria records representing seven taxa and 26 source references; reported measurement years ranged from 1967 to 2019 where year metadata were available. Records were grouped by species, reference, and site, producing 86 study groups and preventing repeatedly sampled studies from dominating the analysis. Only one positive record had a reported depth overlapping 45–70 m:
Laminaria ochroleuca at approximately 55 m in the Strait of Messina, originally measured by Drew [
14]. Its standardized value, 22.32 g C m
−2 yr
−1, remained the central illustrative analog because it was the sole depth-overlapping observation, not because the wider literature was ignored. The median NPP of each study group was divided by the median across groups and multiplied by 22.32, thereby propagating observed cross-species, cross-region, methodological, and temporal variability while retaining the depth-overlapping value as the central reference. The 2.5th and 97.5th percentiles of the resulting depth-centered anchors were 0.339 and 85.849 g C m
−2 yr
−1. This is a broad empirical transferability envelope, not a confidence interval for
L. abyssalis.
No local biomass-to-production conversion was performed, and no carbon content was calculated from the biomass values. The supplied biomass workbook does not identify whether kg km
−2 represents wet, fresh, or dry mass and does not contain collection dates, field depths, or primary sources. These records were therefore restricted to the interpolation diagnostic. The analog is applied uniformly to assumed occupied fractional area and should be replaced by in situ production measurements when available.
where
AF is the high-resolution fractional 45–70 m support area in m
2,
q is the assumed occupied fraction, and NPP
analog is 22.32 g C m
−2 yr
−1. The 10
6 divisor converts grams to tonnes. The center-cell area and rhodolith-overlap area are reported only as alternative spatial-support audits.
Because the positive-only observations cannot estimate occupied fraction, q was evaluated deterministically at 0.10, 0.25, 0.50, 0.75, and 1.00. The q = 1 result is an upper-bound full-occupancy scenario, not a mapped estimate of kelp tissue. A rhodolith-mask overlap was also calculated as a supplementary audit, but it was not imposed as a hard mask because available substrate coverage is incomplete and absence in the raster may represent unmapped habitat.
Annual retained-carbon equivalents were calculated as
Rq,f = Gross NPP
q ×
f, where
f is an explicitly assumed long-term fraction. We evaluated
f = 0.01, 0.05, 0.11, and 0.20. The 0.11 value was retained as a literature-derived reference scenario [
5], not as a regional estimate or probability distribution.
Cumulative static equivalents were calculated as
Production, export, retention, and sequestration were not treated as interchangeable. The calculation starts from source production; it does not isolate locally remineralized material, quantify the fraction exported off-shelf, identify bathyal versus pelagic destinations, or demonstrate burial and permanence.
Respiration, microbial remineralization, herbivory, frond erosion, particulate and dissolved pathways, changing light, climate-driven niche loss, and hydrodynamic variability were not parameterized because local rates were unavailable. Adding arbitrary physiological or climate-decay functions would increase apparent complexity without empirical support. Consequently, multi-year values are static sensitivity equivalents rather than ecological forecasts. The study does not infer that 11% leaves the shelf or remains permanently sequestered. Instead, the deterministic range shows how results change under alternative assumed fractions, including a 1% low-retention case. The 100-year values should be read as multiplication of a constant annual scenario by 100, not as a prediction that present-day kelp habitat, productivity, or retention will persist unchanged for a century.
NPP-anchor extrapolation uncertainty was propagated from the broader historical
Laminaria evidence base rather than treating the single depth-overlapping analog as exact. Every occupancy, retention, and time-horizon calculation was repeated using the empirical lower anchor (0.339 g C m
−2 yr
−1), the central reference (22.32 g C m
−2 yr
−1), and the empirical upper anchor (85.849 g C m
−2 yr
−1). Taxonomic, source-reference, and measurement-decade coverage were audited separately. Occupancy and long-term retention remained deterministic because no regional probability distributions exist for these parameters. Consequently, the reported ranges are empirical extrapolation envelopes and scenario bounds, not Monte Carlo confidence intervals. Sensitivity was evaluated through four complementary components: (i) the historical NPP evidence audit; (ii) the empirical NPP-anchor transferability envelope; (iii) the deterministic matrix crossing occupied fractions and assumed long-term fractions; and (iv) center-cell, high-resolution fractional-depth, and rhodolith-overlap spatial-support audits [
26].
These analyses quantify transferability and scenario dependence but cannot establish local confidence limits, robustness, net greenhouse-gas balance, export efficiency, or permanence.
2.4. Reproducibility and Supplementary Outputs
The supplementary workbook contains the 23 positive biomass observations and their available analytical fields (
Table S1a), a source-level synthesis of verifiable sampling and biomass metadata documented in the primary literature (
Table S1b), complete IDW metrics for every
p = 0–3.0 candidate and selected powers (
Table S2), a coordinate-basis audit documenting the primary raster-cell-centroid convention and the earlier diagnostic alternative, the 169 retained cells with centroid, center depth, fractional-depth area, suitability, and conditional scenario fields (
Table S3), spatial-support audits (
Table S4), deterministic occupancy–retention scenarios (
Table S5), the historical Laminaria NPP audit and propagated transferability scenarios (
Table S6), and a manuscript numerical-consistency audit.
The supplementary package includes in situ habitat imagery (
Figure S1), the uncropped SDM (
Figure S2), a two-panel audit of the empirical NPP-transferability distribution and historical study coverage by measurement decade and taxon (
Figure S3), the complete IDW validation audit (
Figure S4), the spatial-support audit (
Figure S5), and the complete propagated scenario envelope (
Figure S6). The script also records package versions at runtime and writes session information. The supplementary cell table uses conditional area-based NPP only; it does not reinstate invalid biomass-derived cell predictions or spatial NPP hotspots.
Analyses were implemented in R 4.6.0 [
27] using terra [
28], sf [
29,
30], ggplot2 [
31], and viridis [
32]. The pipeline records the exact package versions, package builds, R build information, and session information at runtime; these metadata are supplied in the reproducibility archive.
4. Discussion
The principal result is methodological: sparse positive-only observations did not support a regional biomass model, and a coarse center-cell depth mask overstated the 45–70 m planimetric support by 7.44% relative to a high-resolution fractional-depth audit. The paper therefore presents a theoretical screening workflow, not a verified estimate of standing biomass, export, burial, sequestration, or net climate value.
Suitability describes relative environmental suitability and cannot identify occupied kelp cover [
9,
19]. The actual proportion of the 12,514.60 km
2 depth-constrained fractional support containing physical kelp tissue remains unknown. The complete-occupancy value is an upper-bound scenario, while the occupancy matrix shows how totals decline under partial cover. Abrupt northern and southern model limits reflect the imported SDM, environmental gradients, shelf configuration, and available occurrences; they are not demonstrated physiological barriers.
The IDW failure fundamentally changes interpretation. The negative
p = 0.5 relationship, the 1.66% RMSE increase relative to
p = 0, and the monotonic increase in RMSE at larger powers show regression toward the sample mean rather than transferable spatial structure. Therefore, any biomass-weighted NPP surface, hotspot, or spatial productivity gradient would be an interpolation artifact and is not interpreted. The former biomass total and cell-level biomass hotspots were removed. Differences among cells in
Table S3 arise only from high-resolution fractional area under a uniform analog, not from predicted biomass or locally varying productivity. The seven overlapping cells are shown explicitly, and
Table S2 provides the complete diagnostic record.
A kriging variance surface would not remedy the absence of a defensible variogram, systematic absences, seasonal replication, or broad spatial coverage. The appropriate response to the failed interpolation is additional sampling rather than a more complex interpolator. Future surveys should use spatially balanced or stratified-random stations across latitude, depth, substrate, irradiance, temperature, and hydrodynamic exposure, with repeated seasons and years.
The high-resolution depth-fraction audit addresses mixed shallow–deep cells but remains planimetric and does not represent 3D seabed rugosity. Rhodolith and rocky substrate are ecologically important, yet the available mask did not cover the full domain and could not be treated as confirmed absence. Multibeam backscatter, seabed video, and classified hard-bottom maps are required before substrate can be applied as a defensible hard mask.
The productivity literature for Laminariales is extensive, but its breadth does not eliminate the transferability problem. The exact-genus audit included 133 positive Laminaria records from seven taxa and 26 source references, with measurement years spanning 1967–2019, yet only one observation overlapped the 45–70 m analytical interval. The L. ochroleuca value is therefore retained only as an illustrative depth-overlapping analog, not as evidence of physiological equivalence. The study-level Laminaria envelope spans 0.339–85.849 g C m−2 yr−1 and expands the full-occupancy gross NPP scenario from 4242 to 1,074,367 t C yr−1 around the 279,326 t C yr−1 central value. The breadth of this range does not validate the central estimate; it demonstrates that cross-species, cross-region, methodological, and temporal transferability overwhelms apparent numerical precision. Mesophotic light, South Atlantic Central Water, nutrients, temperature, respiration, erosion, dissolved release, and seasonality may cause local NPP to fall outside even this envelope. Direct measurements of L. abyssalis photosynthesis and annual production remain the central data gap.
The reference 11% fraction is not a measured export efficiency, burial rate, or 100-year permanence probability. Occupancy and retention therefore remain deterministic at explicitly stated values, while NPP uncertainty is represented by the empirical genus-transferability envelope. We do not combine these components into a probability-based confidence interval because their regional distributions are unknown. This separation makes the multiplicative dependence transparent without presenting false precision.
Regional Brazil Current dynamics, shelf-break upwelling, South Atlantic Central Water intrusions, and topographic features make cross-shelf transport plausible [
7,
11], but no hydrodynamic model links the retained cells to bathyal or pelagic sinks. Exported material may instead subsidize herbivores and benthic food webs and be rapidly remineralized [
4,
16,
18,
33,
34,
35]. The study therefore does not allocate production among local consumption, bathyal deposition, pelagic transport, dissolved pathways, or permanent burial.
Regional evidence from a mesophotic rhodolith bed in the Campos Basin confirms a diverse benthic fauna, including 27 echinoderm and 24 crustacean taxa [
36]. Our Dropcam imagery likewise documents mobile fauna within the
L. abyssalis habitat (
Figure S1), although it was not designed to estimate consumer density. However, consumer densities, kelp-detritus ingestion rates, and microbial degradation rates have not been quantified specifically within these deep kelp beds. Local grazing, detritivory, and microbial decomposition could therefore accelerate remineralization and reduce long-term retention; this uncertainty is one reason the analysis includes a 1% retention sensitivity case rather than treating 11% as a measured regional rate.
Rhodolith calcification can affect the inorganic-carbon balance, while kelp fixes organic carbon. Because calcification, dissolution, alkalinity, air–sea exchange, and sedimentary preservation were not measured, no net positive climate balance is inferred for the coupled habitat [
18]. Likewise, the model provides no information on dissolved organic carbon, bicarbonate storage, or a nominal 1% burial rate; unsupported claims involving these pathways have been removed.
The conservation case does not depend on carbon accounting.
L. abyssalis is endemic, habitat-forming, and projected to lose suitable habitat under warming [
9,
10]. Associated services include structural habitat, refuge, nursery and feeding opportunities, benthic production, trophic connectivity, and support for regional biodiversity [
15,
16,
33,
34,
35,
37,
38,
39,
40]. Offshore wind, cables, anchoring, bottom-contact activities, sedimentation, and climate anomalies require project-specific risk assessment; artificial hard substrate should not be assumed to replace endemic natural habitat [
10].
For marine spatial planning, an unvalidated cell should trigger a field-survey requirement rather than automatic exclusion or approval. A practical sequence is: multibeam and backscatter mapping; stratified video transects with calibrated scale; occupancy and percent-cover estimation; seasonal biomass and tissue-carbon sampling; in situ photosynthesis or oxygen-flux measurements; current meters and particle tracking; detrital tagging or biomarkers; sediment traps; sediment cores with radiometric dating and source tracers; and repeated monitoring of remineralization and permanence. Restoration at 55 m is not recommended as an assumed mitigation measure until technical feasibility is demonstrated.
5. Conclusions
We present a transparent theoretical screening workflow for mesophotic kelp habitat. The imported SDM and bathymetry identified 169 center cells, but high-resolution fractional depth reduced the primary 45–70 m planimetric support to 12,514.60 km2. The 23 positive records formed 19 cells, with only seven inside the retained domain. IDW failed leave-one-out validation (p = 0.5, r = −0.389; RMSE 1.66% above p = 0), so no regional biomass surface, biomass stock, or biomass-derived productivity estimate is supported.
Under complete occupancy, the central genus-level analog produced a conditional gross NPP scenario of 279,326 t C yr−1, while the empirical NPP-transferability envelope was 4242–1,074,367 t C yr−1. At the assumed 11% long-term fraction, the central annual and 100-year static equivalents were 30,726 t C yr−1 and 3.07 million t C; the corresponding extrapolation envelopes were 467–118,180 t C yr−1 and 0.047–11.82 million t C. These numbers are deliberately labeled as assumption-dependent screening values and must not be represented as measured export, a carbon sink, verified sequestration, or a basis for carbon credits. Climate-driven niche loss, changes in Brazil Current and upwelling dynamics, consumption, remineralization, uncertain transport destinations, and the exceptionally broad NPP transferability range could reduce or eliminate long-term retention.
The central conclusion is that field measurement must precede carbon-accounting claims. Priority data are occupied cover, seasonal biomass with documented mass basis, local NPP under mesophotic light, substrate extent, detrital transport, consumption and remineralization, depositional sinks, source attribution, burial rates, and permanence. Even if future work finds zero durable carbon retention, the endangered, endemic, habitat-forming, and biodiversity-supporting status of L. abyssalis remains unchanged. The workflow may be adapted to other deep kelps, but the Brazilian numerical scenarios are not globally transferable.