{"schema_version":1,"research_id":"eoa_inverse_innovation_exp05_external_evaluation_20260803","source_assessment_id":"invariant_mode_decomposition_design__biology_ecology:P1:v0","cell_id":"invariant_mode_decomposition_design__biology_ecology","search_queries":["site:epa.gov cyanobacterial harmful algal blooms hypoxia lake management nutrient mixing guidance","dynamic mode decomposition ecology lake ecosystem harmful algal bloom hypoxia","mesocosm nutrient reduction artificial mixing cyanobacteria dissolved oxygen study","lake manager harmful algal bloom monitoring needs dissolved oxygen phosphorus official","\"dynamic mode decomposition\" lake ecology phytoplankton","\"dynamic mode decomposition\" aquatic ecosystem","Koopman operator lake ecosystem algal bloom control","linear inverse model ecosystem eigenmodes lake phytoplankton","site:nsf.gov award lake mesocosm harmful algal bloom amount","site:epa.gov grant mesocosm harmful algal bloom project funding","lake mesocosm experiment cost budget harmful algae grant","instrumented lake mesocosm study project award dollars","site:pmc.ncbi.nlm.nih.gov mesocosm mixing nutrient reduction cyanobacteria zooplankton dissolved oxygen","lake mesocosm artificial mixing cyanobacteria nutrient reduction experiment primary study","mesocosm experiment destratification cyanobacterial bloom dissolved oxygen phosphorus zooplankton","field mesocosm nutrient reduction mixing shallow lake cyanobacteria","\"Reducing Nitrogen Inputs Can Rapidly Reverse Eutrophication\" full text","10.1021/acs.est.5c05392 pdf","ITRC Strategies for Preventing and Managing Harmful Cyanobacterial Blooms management control mixing permitting"],"sources":[{"source_id":"S1","title":"Preventative Measures for Cyanobacterial HABs in Surface Water","publisher":"U.S. Environmental Protection Agency","url":"https://www.epa.gov/habs/preventative-measures-cyanobacterial-habs-surface-water","source_class":"GOVERNMENT_OR_REGULATOR","publication_date":"2026-02-12","accessed_at":"2026-08-03","claims_supported":["Excess nitrogen and phosphorus are primary manageable drivers of cyanobacterial harmful algal blooms.","Sediment nutrient storage and internal loading can sustain HAB risk while watershed nutrient reductions proceed.","Artificial mixing is an existing site-specific prevention measure, can reduce floating surface blooms, may be expensive, and is best suited to selected water bodies."]},{"source_id":"S2","title":"Strategies for Preventing and Managing Harmful Cyanobacterial Blooms (HCB-1): Management and Control Strategies for HCBs","publisher":"Interstate Technology & Regulatory Council","url":"https://hcb-1.itrcweb.org/management-and-control-strategies-for-hcbs/","source_class":"STANDARD","publication_date":"2021-03","accessed_at":"2026-08-03","claims_supported":["Waterbody-specific ecology and uses materially affect intervention selection and effectiveness.","Managers should notify required officials and stakeholders before treatment; treatments can aggravate conditions or create harmful unintended consequences.","Artificial circulation and mechanical mixing, nutrient management, monitoring, and threshold-triggered intervention are established management practices.","Some technologies require substantial capital and annual maintenance costs that vary with scale, region, and goals."]},{"source_id":"S3","title":"NOAA Announces Funding Opportunity to Advance Technologies to Control Harmful Algal Blooms","publisher":"NOAA National Centers for Coastal Ocean Science","url":"https://coastalscience.noaa.gov/news/noaa-announces-funding-opportunity-to-advance-technologies-to-control-harmful-algal-blooms/","source_class":"GOVERNMENT_OR_REGULATOR","publication_date":"2026-03-16","accessed_at":"2026-08-03","claims_supported":["NOAA identifies a public- and private-sector need for effective, economically feasible HAB-control technologies and field application by end users.","The 2026 program seeks feasibility testing and larger-scale field testing of HAB controls.","The stated funding scale is approximately $500,000 to $1,000,000 annually per project for three to five years, providing a 2026 cost anchor.","The program is authorized under the Harmful Algal Bloom and Hypoxia Research and Control Act."]},{"source_id":"S4","title":"On Dynamic Mode Decomposition: Theory and Applications","publisher":"Journal of Computational Dynamics, American Institute of Mathematical Sciences; arXiv copy","url":"https://arxiv.org/abs/1312.0041","source_class":"PRIMARY_RESEARCH","publication_date":"2014","accessed_at":"2026-08-03","claims_supported":["Dynamic mode decomposition already performs eigendecomposition of an approximating linear operator fitted from sequential observations.","DMD yields modes and eigenvalues describing measured dynamics, substantially overlapping the candidate's transition-matrix decomposition.","Rank-deficient data, noise, and failure of linear consistency are documented methodological pitfalls."]},{"source_id":"S5","title":"Physics Informed Modeling of Ecosystem Respiration via Dynamic Mode Decomposition with Control Input","publisher":"arXiv","url":"https://arxiv.org/abs/2402.17625","source_class":"PRIMARY_RESEARCH","publication_date":"2024-03-18","accessed_at":"2026-08-03","claims_supported":["DMD with control has already been applied to ecological observations using exogenous environmental drivers.","The method reconstructs and forecasts ecosystem dynamics and supports analysis of control-input effects.","Predictive performance worsened at sites with weakly separated singular values, consistent with the candidate's concern about spectral separation and observability."]},{"source_id":"S6","title":"Artificial Mixing to Control Cyanobacterial Blooms: A Review","publisher":"Aquatic Ecology, Springer Nature","url":"https://link.springer.com/article/10.1007/s10452-015-9537-0","source_class":"AUTHORITATIVE_SECONDARY","publication_date":"2015-08-19","accessed_at":"2026-08-03","claims_supported":["Artificial mixing is an established cyanobacterial-management practice that often increases bottom-water oxygen.","Mixing can either decrease or increase phosphorus availability depending on lake and sediment conditions.","Successful cyanobacterial suppression depends on mixing strength, depth, device distribution, species, and light conditions, supporting explicit ecological guardrails and cross-effect monitoring."]},{"source_id":"S7","title":"Reducing Nitrogen Inputs Can Rapidly Reverse Eutrophication in Shallow Phosphorus-Rich Lakes","publisher":"Environmental Science & Technology, American Chemical Society","url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC12573793/","source_class":"PRIMARY_RESEARCH","publication_date":"2025-10-28","accessed_at":"2026-08-03","claims_supported":["A five-year, replicated shallow-lake field-mesocosm experiment demonstrates that large instrumented mesocosms and nutrient-input manipulation are technically feasible.","Eliminating nitrogen fertilization after combined enrichment reduced phytoplankton biomass by 57 percent in the tested systems.","The authors emphasize conflicting nutrient-management evidence, lake-specific biogeochemistry, mesocosm limitations, and the need for longer whole-lake experiments across climatic gradients."]},{"source_id":"S8","title":"HABS-BLOCKS© Inhibited Microcystis and Planktothrix and Reduced Microcystin Concentrations in a Lake Water Mesocosm Study","publisher":"Microorganisms, MDPI","url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC12114161/","source_class":"PRIMARY_RESEARCH","publication_date":"2025-05-05","accessed_at":"2026-08-03","claims_supported":["A randomized treated-versus-control lake-water mesocosm can measure cyanobacteria, toxins, nutrients, dissolved oxygen, and other water-quality responses.","The study explicitly warns that temperature, wind, mixing, light, and stratification in a lake cannot be reproduced fully in a short mesocosm.","Potential dissolved-oxygen and aquatic-life effects require monitoring, and mesocosm results should not be directly extrapolated to whole-lake deployment."]}],"problem_evidence":{"support":"MODERATE","rationale":"The broader problem visibly exists and matters: nutrient-driven cyanobacterial blooms, oxygen depletion, sediment nutrient feedback, and intervention-dependent cross-effects are documented, while NOAA describes potentially very large societal costs. Existing guidance also confirms that treatments are site-specific and can create adverse effects. No direct source establishes the candidate's narrower prevalence claim that managers are currently misled by a reproducible, locally growing bloom–hypoxia eigenmode hidden behind favorable coordinate-level readings.","source_ids":["S1","S2","S3","S6","S7"]},"stakeholder_evidence":{"support":"MODERATE","rationale":"NOAA is an identifiable 2026 funder explicitly seeking feasibility and field testing of economically viable HAB controls, and ITRC guidance identifies waterbody managers, regulators, officials, and stakeholders as decision participants. This establishes sector-level pull for safer HAB management and testing, but no named lake authority has expressed demand for this particular modal gate or committed data, a site, or operational authority.","source_ids":["S2","S3"]},"prior_art":{"proximity":"ADJACENT_PRIOR_ART","closest_analogues":[{"name":"Dynamic mode decomposition of an approximating transition operator","similarity":"Mathematically close: fitting a linear operator from sequential data and eigendecomposing it into modes and growth or decay factors is established DMD practice.","remaining_difference":"The candidate adds a lake-specific prospective decision gate, protected-mode constraints, out-of-sample residual tests, mode matching, spectral-gap checks, and treatment withholding; superiority of that integrated protocol is untested.","source_ids":["S4"]},{"name":"Dynamic mode decomposition with control in ecosystem modeling","similarity":"DMDc already represents ecological observations as state-space dynamics with exogenous control inputs and evaluates reconstruction and forecasting.","remaining_difference":"The located work concerns ecosystem respiration rather than coupled lake bloom–hypoxia states and does not authorize or gate ecological interventions using residual, drift, and safety criteria.","source_ids":["S5"]},{"name":"ITRC cyanobacterial-bloom management framework","similarity":"Established practice already selects among nutrient management, artificial mixing, monitoring, and threshold-triggered controls while considering effectiveness, cost, officials, and unintended consequences.","remaining_difference":"It does not fit a local transition operator, classify growing coupled modes, or select a control according to preregistered modal leverage and basis-validity checks.","source_ids":["S2"]},{"name":"Replicated lake mesocosm nutrient and HAB-control trials","similarity":"Contained experiments with controls, nutrient manipulation, water-quality monitoring, and ecological safety measurements are established.","remaining_difference":"The located studies compare treatment endpoints rather than prospectively selecting a treatment through a reproducible dynamic-mode gate and testing that rule against threshold, PCA, and direct-prediction comparators.","source_ids":["S7","S8"]}],"distinctive_claim_remaining":"For a prespecified shallow lake and warm-season regime, a transition-operator gate whose targeted mode is reproducible in held-out trajectories will select a lowest-intensity nutrient-reduction or mixing setting that reduces the preregistered bloom–hypoxia modal coordinate more than coordinate-threshold management, PCA-based selection, and a regularized direct multivariate predictor, without worsening protected oxygen, grazer, residual, conditioning, drift, or organism-stress endpoints. The claim is falsified by nonreproducible or ill-conditioned modes, inadequate spectral separation, no incremental out-of-sample prediction, no better targeted response than the matched best single-control arm, or any safeguard breach.","confidence":"MODERATE"},"implementation_evidence":{"support":"MODERATE","rationale":"The constituent workflow is feasible: transition-operator eigendecomposition and controlled DMD are established, instrumented field mesocosms have been operated, and nutrient reduction and mixing are recognized controls. Feasibility is nevertheless conditional. The candidate needs enough independent time points and perturbation variation to identify a roughly ten-coordinate operator; ecological nonstationarity, rank deficiency, noise, weak spectral separation, and mesocosm artifacts can invalidate modes. Local permissions, site access, handling procedures, sampling power, sensor calibration, and the responsible authority remain unspecified. The contained design, no automatic actuation, minimum-intensity treatment, preregistered oxygen and organism guardrails, and rollback to observation-only status are credible safety controls but have not been reviewed by a site authority.","source_ids":["S2","S4","S5","S6","S7","S8"]},"scores":{"meaningful_impact":{"score":4,"rationale":"HABs, eutrophication, hypoxia, drinking-water risks, biodiversity effects, and costly management decisions are consequential; a reliable rule that prevents ineffective or harmful controls could matter substantially.","source_ids":["S1","S3","S6","S7"]},"stakeholder_pull":{"score":3,"rationale":"Government and regulator-backed programs express strong need for HAB management and field-tested controls, but pull for this exact modal protocol and a committed first adopter are absent.","source_ids":["S2","S3"]},"incremental_advantage":{"score":3,"rationale":"The gate could add dynamic stability, residual, drift, and cross-mode information to established threshold management, but no evidence yet shows better decisions or outcomes than simpler predictors and factorial trials.","source_ids":["S2","S4","S5"]},"distinctiveness_plausibility":{"score":3,"rationale":"The integrated lake-management gate appears contrastive in this bounded search, but its mathematical core and ecological control-input modeling are established and novelty was not measured exhaustively.","source_ids":["S2","S4","S5","S7"]},"technical_implementability":{"score":3,"rationale":"All major components are technically available, but reliable operator identification and eigenmode matching in short, noisy, nonlinear ecological series are material unresolved risks.","source_ids":["S4","S5","S7","S8"]},"adoption_authority_feasibility":{"score":2,"rationale":"Waterbody managers and regulators are recognizable authority classes and NOAA is a credible funder, but no specific lake owner, permitting pathway, operating team, or committed authorizer is identified.","source_ids":["S2","S3"]},"evidence_readiness":{"score":2,"rationale":"There is strong adjacent methods and mesocosm evidence but no candidate-specific dataset, power analysis, preregistered thresholds, fitted operator, or comparative result.","source_ids":["S4","S5","S7","S8"]},"safety_net_benefit":{"score":4,"rationale":"Contained testing, protected endpoints, residual and drift withholding rules, and no automatic or whole-lake actuation directly address known intervention and extrapolation hazards.","source_ids":["S2","S6","S8"]},"scalability":{"score":2,"rationale":"Software may transfer, but each lake requires instrumentation, local identification data, seasonal recalibration, authority review, and lake-specific control and safety thresholds.","source_ids":["S2","S5","S6","S8"]}},"score_confidence":"MODERATE","costs":{"first_evidence":{"band_2026_usd":"250K_TO_1M","scope":"One warm-season, two-stage, replicated field-mesocosm study with untreated, nutrient-reduction, mixing, and mode-selected arms; multiparameter sondes; nutrient, chlorophyll, cyanobacteria, grazer, sediment-release, and stress assays; data engineering; preregistration; and independent analysis.","confidence":"MODERATE","assumptions":["Use an existing field station or lake with mesocosm access rather than constructing a new facility.","Approximately 16 to 24 mesocosms with repeated fixed-interval sampling and at least one independent validation series.","Includes personnel, laboratory assays, sensor rental or purchase, QA/QC, statistical support, and contingency but no whole-lake equipment.","NOAA's 2026 $500,000 to $1,000,000 annual project scale is used as an external resource-equivalent anchor, not as a vendor quote."],"source_ids":["S3","S7","S8"]},"initial_deployment_startup":{"band_2026_usd":"250K_TO_1M","scope":"Single-lake decision-support startup after successful mesocosm evidence: sensor network integration, one full identification season, data pipeline, model validation, operator training, governance documentation, and local approval work; excludes permanent whole-lake mixing infrastructure.","confidence":"LOW","assumptions":["The authority already operates core lake and watershed monitoring.","Existing nutrient-control and mixing options can be represented without purchasing major new treatment infrastructure.","At least one additional season is required to calibrate and validate the local gate.","Local permitting and consultation are routine; unusual protected-species or drinking-water constraints could raise cost."],"source_ids":["S2","S3","S5"]},"operational_launch":{"band_2026_usd":"1M_TO_5M","scope":"Three-to-five-year partnered research-to-operations program for one or a small number of lakes, including multi-season validation, independent audit, sensor redundancy, decision workflow integration, and bounded pilot operations; excludes watershed-scale nutrient-remediation capital and unrestricted whole-lake manipulation.","confidence":"LOW","assumptions":["The launch follows NOAA-like multi-year project duration and annual resource levels.","No construction-intensive lake restoration, dredging, or full-scale aeration installation is included.","Each lake receives separate calibration and authority review.","The range represents resource-equivalent program cost, not a market quote."],"source_ids":["S2","S3"]},"annual_recurring":{"band_2026_usd":"250K_TO_1M","scope":"Annual operation for one instrumented lake: field technicians, sensor maintenance and replacement, laboratory assays, data QA, seasonal re-estimation, residual and drift review, ecological oversight, reporting, and stakeholder governance; treatment hardware energy and watershed implementation are excluded.","confidence":"LOW","assumptions":["Warm-season intensive sampling with lighter off-season monitoring.","Two to four technical FTE equivalents plus laboratory and equipment costs.","Annual independent model review and incident-response reserve are included.","Lake size, sampling frequency, travel, and treatment-energy needs remain unspecified and can move costs outside the band."],"source_ids":["S2","S3","S6"]}},"verified_pipeline_gates":{"externally_supported_problem":{"status":"YES","reason":"Official guidance and research establish nutrient-driven HABs, oxygen and sediment feedbacks, ecological and human consequences, and site-dependent intervention risks, although the exact hidden-mode prevalence remains unmeasured.","source_ids":["S1","S2","S3","S6","S7"]},"externally_credible_adopter_or_authorizer":{"status":"UNCERTAIN","reason":"NOAA is an identifiable funder and ITRC identifies credible waterbody-manager and regulator roles, but no named lake authority has committed to adopt, authorize, host, or supply data for this protocol.","source_ids":["S2","S3"]},"distinct_testable_incremental_claim":{"status":"YES","reason":"The candidate can be prospectively compared with coordinate thresholds, PCA, a regularized direct predictor, and fixed treatment arms using reproducibility, targeted modal response, prediction, protected endpoints, residuals, and drift as prespecified outcomes.","source_ids":["S2","S4","S5","S7"]},"bounded_next_evidence_step":{"status":"YES","reason":"A single-season, two-stage contained mesocosm experiment can freeze the operator, mode-matching rules, thresholds, controls, comparators, and falsifiers before an independent validation series, without whole-lake actuation.","source_ids":["S3","S7","S8"]},"no_unresolved_safety_or_authority_stop":{"status":"UNCERTAIN","reason":"The contained design and halt rules address major ecological risks, but site ownership, local permissions, protected-species or animal procedures, drinking-water constraints, and the accountable authorizer have not been verified.","source_ids":["S2","S6","S8"]},"credible_cost_scope_and_range":{"status":"YES","reason":"The four scopes explicitly exclude major whole-lake and watershed capital, state assumptions, and use NOAA's current $500,000 to $1,000,000 annual project scale plus ITRC's scale-dependent cost guidance as broad resource-equivalent anchors. Site-specific estimates remain low-confidence.","source_ids":["S2","S3"]}},"next_evidence_step":"With a named lake authority and field-station partner, run one preregistered warm-season, two-stage experiment in approximately 16–24 contained mesocosms. In the identification stage, collect fixed-interval nutrient, cyanobacterial/non-cyanobacterial chlorophyll, grazer, surface/bottom oxygen, temperature/stratification, light, and sediment-release measurements under ambient, nutrient-reduction, and bounded-mixing variation; do not add nutrients above the ambient loading envelope. Before viewing validation outcomes, freeze the state vector, sampling interval, linearization window, regularization, mode-matching algorithm, condition-number ceiling, stability and spectral-gap thresholds, residual budget, protected endpoints, lowest-intensity selection rule, code, and missing-data rules. In the independent validation stage, randomize mesocosms among untreated, nutrient-reduction-only, mixing-only, and mode-selected settings. Compare the modal protocol against coordinate-threshold selection, PCA-based selection, and a tuned regularized VAR or direct multivariate predictor using nested held-out trajectories. Primary success requires reproducible mode identity, incremental out-of-sample trajectory prediction, and a preregistered reduction in the targeted modal coordinate without worse bottom-water oxygen, grazer or organism stress, protected-mode movement, structured residual, or drift. Falsify the claim if modes are unstable or ill-conditioned, the gap is inadequate, the modal model adds no held-out information, its selected setting is no better than the matched best fixed control or threshold rule, or any safety guardrail is crossed. Stop at mesocosm evidence; make no whole-lake efficacy or deployment inference.","blocking_evidence":["No candidate-lake dataset demonstrates a reproducible growing or weakly damped bloom–hypoxia mode.","No prospective comparison shows that modal gating outperforms coordinate thresholds, PCA, a direct multivariate predictor, or the matched best fixed control.","No named lake authority, site owner, field partner, or operational champion has committed to the study.","Sampling cadence, replication, missingness, measurement error, and power requirements for identifying the proposed transition matrix have not been established.","Local access, permitting, protected-species, animal-procedure, drinking-water, and accountable-authorizer requirements remain unverified.","The cost bands lack a site-specific bill of quantities and exclude potentially dominant whole-lake mixing, energy, and watershed nutrient-control costs.","Mesocosm-to-lake transferability and performance across seasons, weather regimes, and community shifts remain unknown."],"research_disposition":"PARTNERED_RESEARCH_PROGRAM","world_novelty_boundary":"The search found established DMD, ecological DMD with control, conventional HAB-management frameworks, and mesocosm treatment trials, but no exact integrated lake recovery mode gate in the sources reviewed. This is only a contrastive prior-art result from a bounded web search. World novelty, patentability, freedom to operate, market size, and realized impact were not measured; patent databases, proprietary systems, non-indexed practice, and the full scientific literature were not exhaustively searched.","arm":"COMPLETE_PROPOSAL_PORTFOLIO","candidate_version":0,"controller_recommendation":{"action":"STOP_EMPIRICAL_RESEARCH_NEEDED","repairable":false,"material_progress_observed":true,"progress_targets":["Secure a named lake authority and field-station partner with written authority, access, data, and safety responsibilities.","Complete a site-specific legal, permitting, protected-species, drinking-water, and animal-procedure review before field manipulation.","Produce a sampling and power analysis showing adequate independent observations for operator identification, mode reproducibility, and comparator testing.","Preregister the state vector, controls, comparators, mode-matching and conditioning rules, spectral-gap and residual thresholds, protected endpoints, and complete falsifiers.","Run the independent two-stage mesocosm validation and report all null, adverse, residual, conditioning, and drift results.","Prepare a site-specific costed protocol and bill of quantities separating research, monitoring, treatment hardware, energy, and authority overhead."],"reason":"Bounded web research establishes a consequential problem, credible adjacent methods, feasible mesocosm components, a current funding pathway, and a falsifiable incremental protocol. It cannot determine whether the candidate lake has reproducible action-relevant modes, whether the gate improves decisions, whether safeguards hold under live intervention, or whether a specific authority will authorize and adopt it. Those questions require fieldwork, site data, and live comparative testing."},"proposal_index":1}