{"query": "Ecology — energy and number in the living world", "count": 20, "results": [{"id": "card_floor_ecology", "title": "Ecology — energy and number in the living world", "shelf": "codex", "surface": "secular", "snippet": "Energy drops tenfold each trophic level; populations grow logistically; habitat is set by climate. Three pillars rest on biology (organisms and the tree of life), statistics (population dynamics) and ", "authority_tier": "engine_derived", "source": "Narrow Highway — ecology", "readable": false, "generated": false}, {"id": "card_theory_trophic_dynamics", "title": "Trophic dynamics & ecological efficiency (Lindeman)", "shelf": "theories", "surface": "secular", "snippet": "Trophic dynamics & ecological efficiency (Lindeman) — an engine domain that can touch it: ecology. Calibration: partial — specific relations verify; the theory as a whole is not a sealable computation", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (lone-domain seeding)", "readable": false, "generated": false}, {"id": "card_theory_explore_exploit", "title": "Explore versus exploit (the multi-armed bandit)", "shelf": "theories", "surface": "secular", "snippet": "Explore versus exploit (the multi-armed bandit) — an engine domain that can touch it: operations_research. Calibration: map-only — regret bounds are asymptotic; specific policies compute. When you mus", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_population_ecology", "title": "Population ecology (Lotka–Volterra, carrying capacity)", "shelf": "theories", "surface": "secular", "snippet": "Population ecology (Lotka–Volterra, carrying capacity) — an engine domain that can touch it: ecology. Calibration: seals — logistic and predator-prey models compute. Unlimited resources give exponenti", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_bridge_theory_population_ecology__chemical_kinetics_equilibrium", "title": "Bridge: Population ecology (Lotka–Volterra, carrying capacity)  ↔  Chemical kinetics & equilibrium (Arrhenius, Le Chatelier)", "shelf": "bridges", "surface": "secular", "snippet": "Population ecology (Lotka–Volterra, carrying capacity) and Chemical kinetics & equilibrium (Arrhenius, Le Chatelier) are the same form in different domains. Lotka-Volterra is mass-action kinetics with", "authority_tier": "reference", "source": "The Bridges — cross-domain isomorphisms", "readable": false, "generated": false}, {"id": "card_bridge_theory_population_ecology__control_theory___cybernetics__feedback__stability", "title": "Bridge: Population ecology (Lotka–Volterra, carrying capacity)  ↔  Control theory & cybernetics (feedback, stability)", "shelf": "bridges", "surface": "secular", "snippet": "Population ecology (Lotka–Volterra, carrying capacity) and Control theory & cybernetics (feedback, stability) are the same form in different domains. carrying capacity is negative feedback with a set ", "authority_tier": "reference", "source": "The Bridges — cross-domain isomorphisms", "readable": false, "generated": false}, {"id": "card_bridge_theory_explore_exploit__evolutionary_game_theory__evolutionarily_stable_stra", "title": "Bridge: Explore versus exploit (the multi-armed bandit)  ↔  Evolutionary game theory (evolutionarily stable strategies)", "shelf": "bridges", "surface": "secular", "snippet": "Explore versus exploit (the multi-armed bandit) and Evolutionary game theory (evolutionarily stable strategies) are the same form in different domains. optimal foraging in ecology and clinical trial d", "authority_tier": "reference", "source": "The Bridges — cross-domain isomorphisms", "readable": false, "generated": false}, {"id": "card_bridge_form_logarithmic", "title": "Bridge: the logarithmic form across 18 domains", "shelf": "bridges", "surface": "secular", "snippet": "The canonical form logarithmic (y = k * log(x / x0)) is the SAME computation in 18 different domains — acoustics, astronomy, chemistry, computer_science, cybersecurity, ecology, economics, electrochem", "authority_tier": "reference", "source": "The Bridges — cross-domain isomorphisms", "readable": false, "generated": false}, {"id": "card_works_carbon", "title": "The carbon cost of a hundred kilometres", "shelf": "the-works", "surface": "secular", "snippet": "Emissions are distance times an emission factor: 100 km at 0.2 kg CO₂/km is 20 kg of carbon dioxide — the arithmetic under any honest footprint.  Worked & sealed by the engine — CO₂ = 100·0.2 = 20 kg.", "authority_tier": "verified", "source": "The Works — worked & sealed", "readable": false, "generated": false}, {"id": "card_src_fed_decisionnoticede23unit", "title": "Decision notice/decision record, finding of no significant impact, environmental assessment : for the interim strategies for managing anadromous fish-producing watersheds on federa", "shelf": "ecology", "surface": "secular", "snippet": "Decision notice/decision record, finding of no significant impact, environmental assessment : for the interim strategies for managing anadromous fish-producing watersheds on federal lands in eastern O", "authority_tier": "reference", "source": "US Forest Service publications (PD, 17 USC 105)", "readable": true, "generated": false}, {"id": "card_src_fed_cat91946719", "title": "International Symposiun, Integrated Management of Watersheds for Multiple Use : March 26-30, 1990, Morelia, Mexico = Simposio Internacional: Manejo Integrado de Cuencas para Uso Mu", "shelf": "ecology", "surface": "secular", "snippet": "International Symposiun, Integrated Management of Watersheds for Multiple Use : March 26-30, 1990, Morelia, Mexico = Simposio Internacional: Manejo Integrado de Cuencas para Uso Multiple. A United Sta", "authority_tier": "reference", "source": "US Forest Service publications (PD, 17 USC 105)", "readable": true, "generated": false}, {"id": "card_src_fed_cat10400330", "title": "CADD drawings : electrical, mechanical, civil, recreation, roads, maps, architectural", "shelf": "ecology", "surface": "secular", "snippet": "CADD drawings : electrical, mechanical, civil, recreation, roads, maps, architectural. A United States federal publication, public domain (17 USC 105). The full text (460,285 bytes) is held on the ark", "authority_tier": "reference", "source": "US Forest Service publications (PD, 17 USC 105)", "readable": true, "generated": false}, {"id": "card_src_fed_rootdistribution37bern", "title": "Root distribution of some native trees and understory plants growing on three sites within ponderosa pine watersheds in Colorado", "shelf": "ecology", "surface": "secular", "snippet": "Root distribution of some native trees and understory plants growing on three sites within ponderosa pine watersheds in Colorado. A United States federal publication, public domain (17 USC 105). The f", "authority_tier": "reference", "source": "US Forest Service publications (PD, 17 USC 105)", "readable": true, "generated": false}, {"id": "card_calc_v_ecology_logistic_growth", "title": "Logistic growth", "shelf": "calculations", "surface": "secular", "snippet": "Logistic growth — ecology. Formula: N = K/(1+((K-N0)/N0) e^-rt). Canonical FORM: logistic (dP/dt = rP(1 - P/K)) — engine verifier ecology.logistic_growth — the deterministic check the concordance runs", "authority_tier": "reference", "source": "The Calculation Map — every calculation, mapped by form", "readable": false, "generated": false}, {"id": "card_calc_carrying_capacity", "title": "Logistic population (carrying capacity)", "shelf": "calculations", "surface": "secular", "snippet": "Logistic population (carrying capacity) — ecology. Formula: dP/dt = rP(1 - P/K). Canonical FORM: logistic (dP/dt = rP(1 - P/K)) — growth that slows as it nears the limit. Same form, different domain: ", "authority_tier": "reference", "source": "The Calculation Map — every calculation, mapped by form", "readable": false, "generated": false}, {"id": "card_floor_agriculture", "title": "Agriculture — soil, sun, and chemistry into food", "shelf": "codex", "surface": "secular", "snippet": "Crops fix carbon by photosynthesis (glucose) and need fixed nitrogen (Haber-Bosch ammonia, feeding half the world). Pillars rest on biology (the crop), chemistry (fertilizer and photosynthesis) and ec", "authority_tier": "engine_derived", "source": "Narrow Highway — agriculture", "readable": false, "generated": false}, {"id": "card_domchk_ecology_claimed_energy_output", "title": "Ecology: energy output", "shelf": "ecology", "surface": "secular", "snippet": "A worked check in ecology: energy output.\n\nGIVEN\n  carrying_capacity_K = 1000\n  energy_input = 10000\n  growth_rate_r = 0.1\n  initial_population_N0 = 100\n  trophic_efficiency = 0.1\n  trophic_levels_up ", "authority_tier": "reference", "source": "The verifier's own documented relation, and a run this engine performed against it (deterministic; re-runnable with tools/domain_goldens.py)", "readable": false, "generated": false}, {"id": "card_src_openstax_biology_ap_courses_35_1_the_scope_of_ecology_446ad822", "title": "35.1 The Scope of Ecology — Biology for AP® Courses", "shelf": "biology", "surface": "secular", "snippet": "35.1\n\nThe Scope of Ecology\n\nLearning Objectives\n\nIn this section, you will explore the following questions:\n\nWhat is ecology, and what are the four levels of ecological research?\n\nWhat are examples of", "authority_tier": "reference", "source": "OpenStax: Biology for AP® Courses (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_src_book_73420", "title": "Research methods in ecology — Frederic E. (Frederic Edward) Clements", "shelf": "gutenberg", "surface": "secular", "snippet": "Research methods in ecology, by Frederic E. (Frederic Edward) Clements. Subjects: Plant ecology; Plant ecology -- Methodology. Read the full text (public domain): https://www.gutenberg.org/ebooks/7342", "authority_tier": "reference", "source": "Project Gutenberg (public domain)", "readable": true, "generated": false}, {"id": "card_src_openstax_biology_2e_44_1_the_scope_of_ecology_32deb145", "title": "44.1 The Scope of Ecology — Biology 2e", "shelf": "biology", "surface": "secular", "snippet": "44.1\n\nThe Scope of Ecology\n\nLearning Objectives\nBy the end of this section, you will be able to do the following:\n\nDefine ecology and the four basic levels of ecological research\n\nDescribe examples of", "authority_tier": "reference", "source": "OpenStax: Biology 2e (CC-BY 4.0)", "readable": false, "generated": false}], "house": {"door": "FIND", "kind": "cards", "trail": "results", "seal": null, "next_step": {"do": "open the top card", "door": "FIND", "tool": "card_get", "params": {"id": "card_floor_ecology"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}