ASKiIMAN™ ARCHIVE / ENVIRONMENTAL ECOLOGY
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C = L / S²
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WORLD B — ECOSYSTEM STRUCTURE & FUNCTION · REALM 20

Food Webs

30 Ontological Micro-Realms · Interconnected Chains, Connectance, Trophic Interactions & Web Stability

INTERCONNECTED CHAINS → COMPLEXITY & CONNECTANCE (L/S²) → DIRECT & INDIRECT INTERACTIONS → MAY'S PARADOX → WEAK LINKS & FOOD-WEB STABILITY

The 30 Ontological Nodes of Realm 20

Ultra-Crisp 2-to-5-Word Architectural Portals

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NODE 20.01

Food Web Concept

  • Charles Elton 1927 Food-Cycle
  • Interlocking trophic network
  • Realistic multi-prey architecture
  • Replaces isolated linear-chains
NODE 20.02

Interconnected Food Chains

  • Anastomosing trophic pathways
  • Polyphagous consumers cross-link-chains
  • Multiple energy avenues
  • Prevents single-point failure
NODE 20.03

Nodes & Directed Links

→
  • Nodes (S): trophic species
  • Lumped identical-prey/predator guilds
  • Links (L): feeding arrows
  • Directed graph (digraph) math
NODE 20.04

Basal, Intermediate & Top

  • Basal (B): zero prey
  • Intermediate (I): prey-and-predators
  • Top (T): zero predators
  • Scale-invariant B:I:T proportions
NODE 20.05

Paine's Three Web Types

TOPO
FLOW
FUNC
  • Robert Paine 1980-classification
  • 1. Connectedness topological web
  • 2. Energy-flow bioenergetic web
  • 3. Functional interaction web
NODE 20.06

1. Connectedness Web

  • Binary presence-absence links
  • All arrows weighted-equally
  • Maps complete diet-breadth
  • Overemphasizes rare-meals
NODE 20.07

2. Energy-Flow Web

  • Quantifies kcal/m²/yr flux
  • Arrow thickness equals-volume
  • Highlights dominant biomass-conduits
  • May miss low-biomass-keystones
NODE 20.08

3. Functional Web

  • Revealed by removal-experiments
  • Measures per-capita interaction-strength
  • Identifies critical keystone-nodes
  • True community regulation-map
NODE 20.09

Terrestrial Food Web

  • Grass-shrub-tree producer base
  • Insects rodents rabbits-deer
  • Spiders frogs lizards-snakes
  • Hawks foxes tigers-top
NODE 20.10

Marine Food Web

PELAGIC ⇄ BENTHIC
  • High size-structured omnivory
  • Pelagic plankton-fish-cetacean web
  • Benthic filter-detritus web
  • Coupled by vertical-migrators
NODE 20.11

Green & Brown Webs

GREEN⇄BROWN
  • Green: living plant-based-web
  • Brown: soil detritus-based-web
  • Root-Craswell multichannel coupling
  • Asynchronous energy stabilization
NODE 20.12

Parasites in Food Webs

  • Kevin Lafferty 2006-discovery
  • Parasites comprise >50%-links
  • Predator-eat-parasite concomitant predation
  • Doubles food-web connectance
NODE 20.13

Food-Web Complexity

  • Species richness (S)
  • Linkage density (L/S)
  • Directed connectance (C)
  • Mean chain length
NODE 20.14

Linkage Density (L/S)

d = L / S
  • Average links per-species
  • Measures dietary generalization
  • Briand-Cohen constant-scaling debate
  • Increases in rich-webs
NODE 20.15

Directed Connectance (C)

C = L / S²
  • Realized vs possible-links
  • Or C = L / [S(S-1)/2]
  • Typical empirical C ≈ 0.10–0.15
  • Tracks network saturation
NODE 20.16

Small-World Topology

  • Two-degrees of separation
  • Short path-length between-nodes
  • Highly connected hub-species
  • Rapid perturbation propagation
NODE 20.17

Four Core Sub-Web Motifs

  • 1. Tri-trophic linear chain
  • 2. Omnivory (IGP) triangle
  • 3. Apparent competition V-motif
  • 4. Exploitative competition Λ-motif
NODE 20.18

Direct vs Indirect Effects

→
⇢
  • Direct: pairwise A→B-contact
  • Indirect: mediated via-third-species
  • Enemy of my-enemy-is-friend
  • Often outweigh direct-effects
NODE 20.19

DMII vs TMII (Fear)

LANDSCAPE OF FEAR
  • Density-Mediated (DMII): lethal-killing
  • Trait-Mediated (TMII): behavioral-fear
  • Wolves scare elk-from-willows
  • Non-consumptive predator effect
NODE 20.20

Keystone & Apparent Modules

  • Diamond keystone-predation module
  • Predator targets dominant-competitor
  • Frees subordinate prey-species
  • Sustains basal diversity
NODE 20.21

Wasp-Waist Control

  • Rich base rich-top
  • Single mid-trophic bottleneck
  • Anchovies sardines or-krill
  • Controls predators top-up-and-down
NODE 20.22

Compartmentalization

  • Semi-isolated sub-web modules
  • Dense links inside-compartments
  • Sparse links between-compartments
  • Quarantines disturbance shocks
NODE 20.23

MacArthur Diversity–Stability

MORE LINKS=STABLE
  • Robert MacArthur 1955-index
  • Shannon-entropy energy pathways
  • Alternative prey buffers-crashes
  • Tropical vs Arctic-stability
NODE 20.24

May's Complexity Paradox

i √(S · C) < 1
  • Robert May 1972-theorem
  • Random complex webs-unstable
  • High S-C-i triggers-collapse
  • Real webs non-random!
NODE 20.25

Weak-Link Stabilization

  • Kevin McCann 1998-solution
  • Skewed toward weak-interactions
  • Dampens strong consumer-oscillations
  • Resolves May's paradox
NODE 20.26

Allometric Mass Ratios

≪
  • Ulrich Brose 2006-discovery
  • Predators 10–100x larger-than-prey
  • Slower predator metabolic-rates
  • Stabilizes multi-trophic webs
NODE 20.27

Prey Switching (Type III)

  • Holling Type-III S-curve
  • Predators target abundant-prey
  • Spare rare declining-prey
  • Density-dependent prey refuge
NODE 20.28

Network Robustness (R50)

RANDOM OKHUB COLLAPSE
  • Jennifer Dunne robustness-metric
  • Resilient to random-loss
  • Fragile to hub-removal
  • Secondary extinction avalanches
NODE 20.29

Web Simplification & Unraveling

→
  • Apex truncation and-overfishing
  • Invasive species rewiring
  • Homogenized agro-monoculture webs
  • Loss of portfolio-buffering
NODE 20.30

Food-Web Synthesis

WEB = LIFE
  • Master blueprint of-coexistence
  • Integrates GFC DFC-PFC
  • Complexity with weak-link-order
  • Bridge to Realm-21

Core Ontological Distinctions

1. Connectedness vs. Energy-Flow vs. Functional Food Webs (Paine, 1980)

A Connectedness (Topological) Web shows all feeding links equally, regardless of how much is eaten. An Energy-Flow Web weights links by the quantity of energy/carbon transferred ($kcal/m^2/yr$). A Functional Web weights links by their dynamic importance to community stability (revealed by removal experiments)—showing that a low-energy link (like a keystone predator) can be the most functionally decisive link in the entire web.

2. Linkage Density ($L/S$) vs. Directed Connectance ($L/S^2$)

Linkage Density ($d = L / S$) is the average number of feeding links per species. Directed Connectance ($C = L / S^2$) is the fraction of all possible feeding links in a network of $S$ species that are actually realized.

3. Elton–MacArthur Stability vs. May's Paradox & McCann's Resolution

Elton & MacArthur observed that complex natural food webs are more stable than simple Arctic/agricultural chains because predators can switch prey. Robert May (1972) proved mathematically that randomly assembled complex webs become unstable when $i\sqrt{SC} > 1$. McCann et al. (1998) resolved the paradox by showing that real food webs are not random: they are packed with weak interactions, compartmentalized modules, and allometric body-size ratios that dampen wild oscillations.

Archival Progression · [020 / 266]

Realm 20 Complete

All 30 nodes of **Realm 20: Food Webs** (`20.01` to `20.30`) are forged. Next in the **World B** sequence is **Realm 21: Ecological Productivity** (`[021 / 266]`).