{"schema_version":1,"experiment_id":"eoa_inverse_innovation_exp11_mechanism_context_external20_20260804","research_id":"eoa_inverse_innovation_exp11_external_scrutiny_20260804","cell_id":"invariant_mode_decomposition_design__biology_ecology","opaque_id":"invariant_mode_decomposition_design__biology_ecology__A","search_lanes":{"direct_problem":{"queries":["shallow lake restoration dynamic mode decomposition eigenvalue control mesocosm","lake ecosystem early warning multivariate eigenvalue stability leading mode restoration","multivariate early warning signals shallow lake regime shift coupled indicators mesocosm","multispecies early warning signal ecological collapse multivariate autoregressive eigenvector"],"source_ids":["SRC1","SRC2","SRC8"],"no_result_note":null},"closest_prior_art":{"queries":["multivariate autoregressive model eigenvalues ecological community stability management intervention","Jacobian leading eigenvalue ecological restoration control community mesocosm","ecosystem management dominant eigenmode intervention eigenvector stability","data driven ecosystem control Jacobian eigenmode intervention experiment"],"source_ids":["SRC1","SRC3","SRC4","SRC5"],"no_result_note":"No retained source implemented the complete package of randomized control-effect identification, leading-mode selection, gated modal intervention, and confirmatory comparison in shallow-lake mesocosms."},"historical_terminology":{"queries":["estimating community stability ecological interactions MAR(1) lake nutrient planktivorous fish","biomanipulation shallow lake fish removal water clarity restoration manual","community matrix dominant eigenvalue ecological stability management","lake regime shift critical slowing down early warning indicator"],"source_ids":["SRC1","SRC7","SRC8"],"no_result_note":null},"products_practices_standards":{"queries":["EPA lake restoration manual biomanipulation fish removal macrophyte official","European Water Framework Directive lake restoration biomanipulation fish removal guidance","ASTM mesocosm aquatic ecosystem testing standard","ecosystem based multi-species management empirical dynamic programming"],"source_ids":["SRC5","SRC6","SRC7"],"no_result_note":null},"non_english_regional":{"queries":["浅水湖泊 生态系统 状态转换 预警 多变量 特征值","湖泊 生态修复 特征值 稳定性 模式 生物操纵 鱼类 水生植物","biomanipulatie ondiepe meren visverwijdering waterplanten helder water richtlijn","Flachsee Restaurierung Biomanipulation Fische Makrophyten Frühwarnung Eigenwert"],"source_ids":["SRC6","SRC8"],"no_result_note":null},"composition_subproblems":{"queries":["shallow lake mesocosm combined nutrient reduction fish removal macrophyte transplantation experiment","dynamic mode decomposition with control ecological community","spectral control ecological stability Jacobian interactions","lake ecosystem model predictive control biomanipulation eigenvalue"],"source_ids":["SRC1","SRC3","SRC4","SRC5","SRC6"],"no_result_note":null}},"sources":[{"source_id":"SRC1","title":"Estimating Community Stability and Ecological Interactions from Time-Series Data","url":"https://digitalcommons.dartmouth.edu/facoa/2688/","publisher":"Ecological Monographs; Dartmouth Digital Commons","date_or_year":"2003","source_type":"PRIMARY_RESEARCH","language":"English","claims_supported":["First-order multivariate autoregressive models can estimate multispecies community dynamics and stability from time series.","The method was illustrated with plankton communities in lakes where nutrient loading and planktivorous-fish abundance were experimentally manipulated.","Community-level dynamical interactions and stability estimation in manipulated lakes substantially predate the proposal."]},{"source_id":"SRC2","title":"Early warning signals have limited applicability to empirical lake data","url":"https://www.nature.com/articles/s41467-023-43744-8","publisher":"Nature Communications","date_or_year":"2023","source_type":"PRIMARY_RESEARCH","language":"English","claims_supported":["Across nine long-term lake datasets, trophic levels often exhibited different forms of abrupt change.","Most tested early-warning indicators did not outperform chance; results depended strongly on preprocessing and temporal resolution.","Multivariate indicators were only weakly superior to univariate indicators, supporting the problem while cautioning against assuming a stable predictive mode.","The article identifies time-varying Jacobian and multivariate-autoregressive stability measures as promising alternatives for real-time monitoring."]},{"source_id":"SRC3","title":"Dynamic Mode Decomposition with Control","url":"https://epubs.siam.org/doi/abs/10.1137/15M1013857","publisher":"SIAM Journal on Applied Dynamical Systems","date_or_year":"2016","source_type":"PRIMARY_RESEARCH","language":"English","claims_supported":["DMD with control estimates low-order dynamics and actuation effects from state-and-input snapshots.","The method is designed to separate autonomous dynamics from external forcing or actuation.","The proposal's fitted transition operator and control-to-mode map have established methodological prior art outside shallow-lake restoration."]},{"source_id":"SRC4","title":"Spectral control for ecological stability","url":"https://arxiv.org/abs/1801.09091","publisher":"arXiv","date_or_year":"2018","source_type":"PRIMARY_RESEARCH","language":"English","claims_supported":["A theoretical ecological-control method modifies a community Jacobian's spectrum to stabilize an equilibrium.","The spectral changes are mapped back to changes in species interactions or environmental carrying-capacity parameters.","This is close prior art for using ecological eigenstructure as the causal control lever, but it is theoretical and does not identify feasible controls through randomized mesocosm perturbations."]},{"source_id":"SRC5","title":"Ecosystem based multi-species management using Empirical Dynamic Programming","url":"https://repository.library.noaa.gov/view/noaa/68265/noaa_68265_DS1.pdf","publisher":"Ecological Modelling; NOAA Institutional Repository","date_or_year":"2021","source_type":"PRIMARY_RESEARCH","language":"English","claims_supported":["Empirical Dynamic Programming derives multi-control, multi-objective ecosystem policies from data-driven nonlinear dynamics.","In simulations, its policies were closer to true optimal policies than single-species policies.","It is a strong nonmodal prior-art analogue and supports the proposal's need for a direct nonlinear policy comparator."]},{"source_id":"SRC6","title":"Restoration of Shallow Lakes in Subtropical and Tropical China: Response of Nutrients and Water Clarity to Biomanipulation by Fish Removal and Submerged Plant Transplantation","url":"https://agris.fao.org/search/en/providers/122436/records/675ad3170ce2cede71d2594c","publisher":"Water (MDPI), indexed by FAO AGRIS","date_or_year":"2016","source_type":"PRIMARY_RESEARCH","language":"English","claims_supported":["Fish removal followed by submerged-macrophyte transplantation was implemented in three warm shallow lakes.","The interventions produced marked reductions in nitrogen, phosphorus, suspended solids, and chlorophyll-a and increased transparency.","Combined biological restoration measures are established practice, but this study did not select combinations by a leading dynamical mode or compare modal and nonmodal controllers."]},{"source_id":"SRC7","title":"Fish and Fisheries Management in Lakes and Reservoirs: Technical Supplement to the Lake and Reservoir Restoration Guidance Manual","url":"https://nepis.epa.gov/Exe/ZyPURL.cgi?Dockey=20004RPR.TXT","publisher":"U.S. Environmental Protection Agency and Terrene Institute","date_or_year":"1993","source_type":"OFFICIAL_GUIDANCE","language":"English","claims_supported":["EPA guidance defines biomanipulation as deliberately changing fish communities to meet water-quality objectives.","It documents removal of bottom-feeding fish and top-down manipulation of planktivorous or predatory fish to improve clarity.","It advises that biomanipulation works best with other management techniques and should be undertaken with appropriate controls and caution.","State and local lake managers are an identifiable practitioner class for eventual restoration decisions."]},{"source_id":"SRC8","title":"浅水湖泊稳态转换预警识别方法局限与展望 (Forewarned is forearmed: limitations and prospects of early warning indicators of regime shifts in shallow lakes)","url":"https://www.ecologica.cn/stxb/ch/html/2017/11/stxb201604010594.htm","publisher":"Acta Ecologica Sinica","date_or_year":"2017","source_type":"SECONDARY_RESEARCH","language":"Chinese with English abstract","claims_supported":["Shallow-lake regime shifts involve chlorophyll, dissolved oxygen, zooplankton, fish, nutrients, macrophytes, and other interacting variables.","Variance and autocorrelation indicators may fail or be misinterpreted under strong forcing, stochasticity, extreme events, rapid threshold crossing, and multiple noise sources.","The review specifically recommends multidimensional covariance treatment for multiple noise sources and combining monitoring, experiments, and mechanistic and statistical models.","It warns that low-frequency sampling and strong perturbations can suppress or miss advance signals."]}],"problem_evidence":{"status":"PARTLY_SUPPORTED","finding":"The broader problem is real: separate trophic variables can undergo different transition mechanisms, common indicators are often unreliable, and multivariate approaches can pool community information. However, the retained empirical evidence does not establish that weekly 8–12-variable vectors from the proposed seasonal mesocosm regime contain a reproducible, bootstrap-stable transition eigenmode with actionable lead time.","source_ids":["SRC1","SRC2","SRC8"],"uncertainty":"The central coupled-direction claim remains a mesocosm-specific hypothesis. Strong forcing, seasonality, mode rotation, nonlinear basin crossing, preprocessing choices, and unmeasured drivers could eliminate or destabilize the inferred mode."},"adopter_evidence":{"status":"SUPPORTED","finding":"Potential adopters and authorizers are identifiable by role: mesocosm investigators and facility permit holders can authorize the contained study, while EPA guidance explicitly addresses state and local lake managers as eventual users of restoration evidence. Published shallow-lake interventions demonstrate an active investigator community capable of implementing combined fish and macrophyte manipulations.","source_ids":["SRC6","SRC7"],"uncertainty":"No particular facility, principal investigator, regulator, or lake manager has committed to this experiment, and local animal-care, collection, stocking, water-discharge, and ecological permits remain jurisdiction-specific."},"implementation_evidence":{"status":"PARTLY_SUPPORTED","finding":"All main building blocks have precedents: MAR stability estimation in manipulated lake communities, input-aware modal identification, theoretical ecological spectral stabilization, nonlinear data-driven ecosystem policy optimization, and combined fish-removal/macrophyte restoration. No retained source validated their proposed composition: randomized control-to-mode identification followed by a gated modal policy tested against intensity-matched coordinate and nonlinear nonmodal policies.","source_ids":["SRC1","SRC3","SRC4","SRC5","SRC6"],"uncertainty":"Weekly sampling may be too sparse relative to seasonal dynamics, 72 Stage-A units may not identify a stable local operator and interaction-rich control map, and the proposed spectral-gap and mode-identity gates may frequently prevent Stage B."},"prior_art":{"disposition":"ADJACENT_PRIOR_ART","closest_analogues":[{"name":"MAR(1) community-stability estimation in experimentally manipulated lakes","source_ids":["SRC1"],"same_problem":true,"same_causal_lever":false,"overlap":"Uses multispecies time series from lakes with nutrient and planktivorous-fish manipulations to estimate community dynamics and stability.","remaining_difference":"It estimates stability and interactions but does not select a feasible intervention combination to oppose an identified leading mode or perform the proposed policy comparison."},{"name":"Dynamic Mode Decomposition with Control","source_ids":["SRC3"],"same_problem":false,"same_causal_lever":false,"overlap":"Learns a transition operator and separates autonomous dynamics from control effects in modal coordinates.","remaining_difference":"It is a general identification method, not a shallow-lake deterioration experiment or a policy that targets a validated ecological instability mode."},{"name":"Spectral control for ecological stability","source_ids":["SRC4"],"same_problem":false,"same_causal_lever":true,"overlap":"Directly uses the ecological Jacobian spectrum as a stabilization lever and maps spectral modifications to ecological interaction changes.","remaining_difference":"It uses idealized Lotka–Volterra systems and prescribed rewiring or parameter changes, without empirical randomized effect identification, lake-specific feasible controls, safety gates, or confirmatory mesocosms."},{"name":"Empirical Dynamic Programming for multispecies management","source_ids":["SRC5"],"same_problem":true,"same_causal_lever":false,"overlap":"Derives data-driven, multi-control ecosystem policies and compares them with simpler single-species policies.","remaining_difference":"It optimizes outcomes through nonlinear dynamic programming rather than targeting a stable leading eigenmode and was evaluated in simulated management systems rather than shallow-lake restoration mesocosms."},{"name":"Fish removal plus submerged-macrophyte transplantation in warm shallow lakes","source_ids":["SRC6","SRC7"],"same_problem":true,"same_causal_lever":false,"overlap":"Uses combined top-down and habitat/restoration interventions to move turbid shallow lakes toward clear water.","remaining_difference":"Treatment choice is based on ecological mechanisms and restoration practice, not an experimentally identified control-to-mode map or a preregistered modal-versus-nonmodal randomized comparison."}],"contrastive_claim_remaining":"Within a declared seasonal clear-water neighborhood, a bootstrap-stable local transition mode and randomized control-to-mode map can select a low-disturbance nutrient/fish/macrophyte combination that reduces risky-mode-amplitude AUC by at least 25% and ecological loss by at least 0.5 SD relative to both intensity-matched coordinate-wise control and a nonlinear direct-outcome controller.","contrastive_claim_falsifier":"The contrastive claim is eliminated if prior work is found that already performs this same lake-specific randomized identification, gated leading-mode intervention, and dual-comparator confirmation, or empirically if the mode gates fail or the modal arm misses either preregistered superiority threshold.","confidence":"MODERATE","search_limitations":"The bounded search used English, Chinese, Dutch, and German terminology and covered methods, historical ecological terminology, restoration practice, official guidance, and component combinations. Exactly eight retained sources were opened. It was not an exhaustive patent, dissertation, software, regulatory, or all-language search; some publisher full texts outside the retained set were inaccessible. The result cannot establish world novelty, patentability, freedom to operate, prevalence, market size, or impact."},"researchability_gates":{"externally_supported_problem":{"status":"PASS","rationale":"Empirical lake data and regional literature show that separate trophic indicators can disagree or fail, while multivariate community measures address a recognized information gap. The proposal properly frames the exact coupled mode as a falsifiable hypothesis rather than an established fact.","source_ids":["SRC1","SRC2","SRC8"]},"identifiable_adopter_or_authorizer":{"status":"PASS","rationale":"Contained-study authorizers are identifiable as the principal investigator, facility, animal-care body, and permit holder; eventual practitioner users are identifiable as lake and fisheries managers. Actual participation remains unconfirmed but is not required for role identification.","source_ids":["SRC6","SRC7"]},"distinct_testable_incremental_claim":{"status":"PASS","rationale":"Close prior art covers each component but leaves a distinct head-to-head claim: a validated leading-mode policy must beat both intensity-matched coordinate control and nonlinear direct optimization on locked modal and ecological endpoints.","source_ids":["SRC3","SRC4","SRC5","SRC6"]},"bounded_next_evidence_step":{"status":"PASS","rationale":"A preregistered contained Stage A with fixed variables, randomized bounded doses, held-out prediction tests, bootstrap mode gates, and locked simulation-based power analysis is finite and decision-relevant; Stage B is conditional on those gates and capacity.","source_ids":["SRC1","SRC6","SRC7"]},"no_unresolved_safety_or_authority_stop":{"status":"PASS","rationale":"No retained source identifies a categorical prohibition on the contained, native-organism manipulations. The proposal excludes field release, non-native and unpermitted actions, requires relevant approvals, and specifies oxygen, mortality, containment, and model-window stops. Jurisdiction-specific approvals must be secured before dosing.","source_ids":["SRC6","SRC7"]},"adequate_search_evidence":{"status":"PASS","rationale":"All six required lanes were searched adversarially with older and regional terminology and component combinations. The eight retained sources span seven publishing institutions and include multiple primary studies plus official EPA guidance.","source_ids":["SRC1","SRC2","SRC3","SRC4","SRC5","SRC6","SRC7","SRC8"]}},"strict_success":true,"screen_survival":true,"remaining_research_value":"MODERATE","recommended_next_step":"Secure a named facility and all animal-care and ecological approvals, preregister the locked Stage-A design and code, and conduct Stage A only. Advance to the four-arm confirmatory experiment solely if prediction, spectral-gap, mode-identity, residual, safety, capacity, and power gates all pass without modification.","world_novelty_boundary":"This bounded public-web review found adjacent but not package-equivalent prior art. It establishes neither world novelty nor patentability, freedom to operate, routine-practice prevalence, market size, scalability to open lakes, or realized ecological impact."}