LA → GPP
HEAT
Models of Energy Flow
30 Ontological Micro-Realms · Single-Channel, Y-Shaped & Universal Models, Energy Budgets & Ecological Efficiency
The 30 Ontological Nodes of Realm 22
Ultra-Crisp 2-to-5-Word Architectural Portals
Energy-Flow Models
- Quantitative trophic blueprints
- Map thermodynamic energy-transfers
- Compare diverse ecosystems
- Odum and Lindeman-frameworks
Box-and-Pipe Notation
- Boxes represent standing-crop (B)
- Pipes represent energy-flux (I,A,P)
- Pipe width scales-to-flow
- Heat sinks point-downward (R)
Lindeman's Trophic-Dynamic
- Raymond Lindeman 1942-classic
- Hutchinson Yale mentorship
- Organisms grouped into-Λn-compartments
- Birth of ecosystem-energetics
Cedar Bog Lake Model
- First quantitative lake-budget
- Pondweeds and phytoplankton-base
- Browsers plankton-predators swimming-carnivores
- Benthic ooze-regenerates nutrients
Progressive Efficiency
- λn / λn-1 ratio
- Lindeman hypothesized upward-increase
- Higher tiers assimilate-better
- Yet respire more-heat
Single-Channel Model
- E.P. Odum 1963-diagram
- Unidirectional linear grazing-chain
- LA=3000 → GPP=15 → NPP=7.5
- C1=1.5 → C2=0.3 kcal/m²/day
Stepwise Pipe Narrowing
- Visualizes 2nd Law-attrition
- Not Utilized (NU) branch-loss
- Not Assimilated (NA) fecal-loss
- Respiration (R) heat-exhaust
Y-Shaped Energy Model
- H.T. Odum 1956-origin
- E.P. Odum 1983-synthesis
- Splits NPP into-two-arms
- Grazing and detritus-streams
Y-Model Arm Asymmetry
- Marine bay: thick-grazing-arm
- Deciduous forest: thick-detritus-arm
- Spatial-temporal lag separation
- Macro-predators link both-arms
Universal Energy Model
- E.P. Odum 1968-model
- Applies to any-scale
- Single cell or-individual
- Population or trophic-level
Universal Box Parameters
- I: Ingestion or-light-input
- A: Assimilated energy-flow
- P: Production (G+E+S)
- R: Respiration heat-loss
Silver Springs Model (1957)
kcal/m²/yr
- H.T. Odum Florida-benchmark
- Sagittaria eelgrass producer-base
- Herbivores=3368 → Carnivores=383
- Top carnivores=21 kcal/m²/yr
Root Spring Model (Teal)
LEAF LITTER
- John Teal 1957-study
- Massachusetts cold spring-brook
- 2350 kcal/m²/yr imported-leaves
- Only 710 kcal internal-GPP
Salt-Marsh Energy Model
- Teal 1962 Sapelo-Island
- Spartina alterniflora cordgrass
- Only 7% grazed-alive
- 93% enters detritus-export
Odum's Energese Symbols
- H.T. Odum 1971-circuitry
- Circle: external energy-source
- Bullet: autotrophic producer
- Hexagon: consumer & Tank: storage
Klekowski Energy Budgets
- IBP bioenergetic accounting
- Consumption (C or I)
- Equals Production + Respiration
- Plus Feces (F) + Urine (U)
Ingestion vs Assimilation
- Ingestion: total swallowed-energy
- Egestion (F): undigested-feces
- Assimilation (A = I − F)
- Digestibility sets A/I-ratio
Respiration & Excretion
- Basal + active-metabolism (R)
- Specific Dynamic Action (SDA)
- Nitrogenous urinary waste (U)
- Ammonia urea uric-acid
Production Partitioning (P)
- Pg: somatic body-growth
- Pr: gametes reproductive-offspring
- Pe: exuviae molted-cuticles-antlers
- Available to next-trophic-tier
Ecosystem Energy Budget
- GPP plus Allochthonous-Import
- Equals Ecosystem-Respiration (Re)
- Plus Export + Biomass-accumulation
- Balanced at climax (ΔB=0)
Ecological Efficiencies
- Dimensionless percentage ratios
- Kozlovsky 1968 standardization
- Within-level and between-level
- Governs pyramid steepness
Photosynthetic Efficiency
- Gross: GPP / Incident-Solar (1–5%)
- Net: NPP / PAR (2–10%)
- Theoretical C3 max ~4.6%
- Theoretical C4 max ~6.0%
Consumption Efficiency (CE)
- CE = In / Pn-1 × 100
- Mature forest: 1–5%
- Grassland savanna: 30–50%
- Open phytoplankton: 60–90%
Assimilation Efficiency (AE)
- AE = An / In × 100
- Detritivores/wood-borers: 10–20%
- Grazing herbivores: 30–60%
- Granivores and carnivores: 70–90%
NPE vs GPE
- NPE: tissue growth-efficiency
- GPE: ecological growth-efficiency
- GPE = AE × NPE
- Feed Conversion Ratio inverse
Ectotherm vs Endotherm NPE
- Ectotherms: zero thermoregulation-bill
- Insects fishes NPE 20–50%
- Endotherms: 98% burned-for-body-heat
- Birds mammals NPE 1–3%
Lindeman Efficiency (TLTE)
- Overall Pn / Pn-1 ratio
- Product of three-efficiencies
- Averages ~10% across-biosphere
- Ranges 5% to 20%
Ecopath & Ecosim (EwE)
- Polovina Christensen Pauly-software
- Ecotrophic Efficiency (EE)
- Computational mass-energy balance
- Global fisheries management-standard
Maximum Power Principle
- Lotka 1922 Odum-1955
- 4th Law of-Thermodynamics
- Self-organizing systems maximize-useful-power
- Optimal 50% efficiency-trade-off
Energy Models Synthesis
- Unifies Single Y-Universal-models
- Explains pyramid geometry
- Quantifies carrying capacity
- Bridge to Realm-23
Core Ontological Distinctions
1. Single-Channel vs. Y-Shaped vs. Universal Energy Flow Models (Odum)The Single-Channel Model shows unidirectional energy attenuation along a single grazing food chain. The Y-Shaped (Double-Channel) Model is more realistic because it splits Net Primary Productivity into two simultaneous arms—the Grazing Food Chain and the Detritus Food Chain—which are separated in space/time but cross-linked at carnivore levels. The Universal Model is a standardized single box ($I \rightarrow B \rightarrow P + R$) that can represent an individual, a population, or a whole trophic guild.
2. Consumption (CE) vs. Assimilation (AE) vs. Net Production Efficiency (NPE)Consumption Efficiency ($I_n / P_{n-1}$) is how much of the lower tier is actually eaten. Assimilation Efficiency ($A_n / I_n$) is how much of the eaten food is digested across the gut wall rather than defecated. Net Production Efficiency ($P_n / A_n$) is how much of the digested energy becomes new body biomass rather than being burned as respiratory heat. Multiplying all three gives Lindeman's Trophic Transfer Efficiency ($\text{TLTE} = \text{CE} \times \text{AE} \times \text{NPE} \approx 10\%$).
3. Ectotherm vs. Endotherm Energy BudgetsCarnivores have high Assimilation Efficiency (~80–90%), whereas Herbivores have low AE (~20–50%). However, Endotherms (birds and mammals) have tiny Net Production Efficiency (~1–3%) because ~98% of assimilated energy goes into maintaining constant body heat, whereas cold-blooded Ectotherms (insects, fishes, reptiles) convert 20–50% of assimilated energy directly into new biomass.
Realm 22 Complete
All 30 nodes of **Realm 22: Models of Energy Flow** (`22.01` to `22.30`) are forged. Next in the **World B** sequence is **Realm 23: Ecological Pyramids** (`[023 / 266]`).