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BU-105 / L04 · lecture

Food Chains and Food Webs

~8 min read · Tier toggle changes depth (T1 plain · T2 standard · T3 rigour)

BEFORE YOU START

You should understand the definitions of producers, primary consumers, and decomposers from the previous lecture, and be comfortable with basic percentage calculations and exponential notation.

Why this matters

Food webs reveal the hidden complexity of ecological stability that simple linear chains obscure.

In nature, energy transfer is rarely a straight line. Instead, it forms a complex network of interactions where most organisms consume multiple species and are consumed by multiple predators. Understanding this structure is critical for predicting how ecosystems respond to disturbances, such as the removal of a keystone species or the introduction of an invasive predator. By moving from the simplified concept of a food chain to the more realistic model of a food web, we gain the tools to analyse biodiversity, resilience, and the flow of matter and energy through complex biological systems.

From Chains to Webs

Imagine a simple scenario in a meadow: grass is eaten by a rabbit, and the rabbit is eaten by a fox. This linear sequence, grass → rabbit → fox, is a food chain. It is a useful pedagogical tool because it isolates a single pathway of energy transfer. However, this model is an oversimplification. In reality, the rabbit does not eat only grass; it might also eat clover or dandelions. The fox does not eat only rabbits; it might also eat voles, birds, or even other small mammals. Furthermore, the voles might eat seeds from the same grass the rabbit eats. When we map these multiple connections, the linear chain expands into a web. A food web is a graphical representation of the feeding relationships within a community, where nodes represent species and directed edges represent the flow of energy from prey to predator. The key distinction is that food chains are linear and unidirectional, while food webs are multidimensional networks. This structural difference has profound implications for ecosystem stability. In a simple chain, the removal of any single species (except the producer) can cause a cascade of extinctions. In a web, the removal of one species may have minimal impact if alternative pathways exist, a concept known as redundancy. Therefore, the food web is the fundamental unit of ecological analysis for understanding how energy moves through complex systems and how biodiversity contributes to ecosystem function.

Structural Metrics of Food Webs

To quantify the complexity of a food web, ecologists use several structural metrics. The most fundamental is the number of species, denoted as \( S \). However, species richness alone does not capture the connectivity of the web. A more informative metric is the connectance, \( C \), which is the proportion of all possible links that are actually realised. If there are \( S \) species, the maximum number of possible directed links is \( S(S-1) \), assuming no self-feeding. If \( L \) is the actual number of observed links, the connectance is calculated as \( C = \frac{L}{S(S-1)} \). High connectance indicates a tightly integrated web where many species interact, while low connectance suggests a more fragmented or specialised system. Another important metric is the mean trophic level, which indicates the average position of species in the energy flow. Species with a trophic level of 1 are autotrophs, 2 are primary consumers, and so on. The distribution of trophic levels within a web determines the potential for energy loss. For instance, a web with many top predators (high trophic levels) will have a steeper energy pyramid than one dominated by herbivores. These metrics allow ecologists to compare different ecosystems, such as tropical rainforests, which typically have high \( S \) and moderate \( C \), versus arctic tundra, which may have lower \( S \) but potentially higher \( C \) due to limited species diversity and strong interactions.

Energy Flow and Trophic Efficiency

The flow of energy through a food web is governed by the laws of thermodynamics. Energy enters the system as solar radiation, captured by producers via photosynthesis. As energy moves up the trophic levels, a significant portion is lost as heat due to metabolic processes, movement, and respiration. This loss is quantified by the trophic efficiency, \( \varepsilon \), which represents the fraction of energy transferred from one trophic level to the next. Empirical studies suggest that \( \varepsilon \) is typically around 10%, meaning that only 10% of the energy available at level \( n \) is incorporated into the biomass of level \( n+1 \). The remaining 90% is dissipated. This exponential decay in available energy imposes a strict limit on the length of food chains. If we start with an initial energy input \( E_0 \) at the producer level, the energy available at trophic level \( n \) can be approximated by the relationship \( E_n \approx E_0\,\varepsilon^{\,n-1} \). Because \( \varepsilon \ll 1 \), the term \( \varepsilon^{\,n-1} \) decreases rapidly as \( n \) increases. For example, if \( \varepsilon = 0.1 \), then at level 2, \( E_2 = 0.1 E_0 \); at level 3, \( E_3 = 0.01 E_0 \); and at level 4, \( E_4 = 0.001 E_0 \). This rapid decline explains why most food webs have no more than four or five trophic levels. The energy available at higher levels is simply insufficient to support a viable population of large predators. This constraint is a fundamental principle of ecosystem ecology, linking the structure of the food web directly to the thermodynamic limits of energy transfer.

Stability and Redundancy

The structure of a food web influences its stability, defined as the ability of an ecosystem to resist change or return to equilibrium after a disturbance. One key mechanism for stability is redundancy, which arises from the multiple pathways of energy flow. In a highly connected web, if one species is removed, its prey may still be controlled by other predators, and its predators may still be fed by other prey. This functional redundancy buffers the system against the loss of any single species. Conversely, in a simple food chain, the loss of a single intermediate species can lead to the collapse of the entire chain. However, high connectivity can also have destabilising effects. If a web is too tightly connected, a disturbance to one species can propagate rapidly through the network, causing cascading effects. A related result, the "paradox of enrichment" (Rosenzweig, 1971), shows that increasing the productivity at the base of a predator–prey system can itself destabilise it, producing large oscillations in population sizes. The balance between stability and instability depends on the specific topology of the web, including the strength of interactions and the degree of omnivory. Omnivory, where a species feeds on multiple trophic levels, can stabilise or destabilise the system depending on the relative strengths of the links. Understanding these dynamics is crucial for conservation biology, as it helps predict the consequences of species loss and the potential for ecosystem recovery.

The concept

◆ CONCEPT · T-022 · full treatment on its own page

Trophic levels and energy flow

Energy dissipates as it passes up a food chain.

\[ E_n \approx E_0\,\varepsilon^{\,n-1}, \qquad \varepsilon \ll 1\ (\text{commonly} \sim 10\%\text{ per transfer}) \]
Open the full concept →
Tier 3 · watch out

A common misconception is that food webs are static structures. In reality, they are dynamic and change over time in response to seasonal variations, climate change, and species interactions. The links in a food web are not fixed; they can appear or disappear as species shift their diets or ranges. Therefore, a snapshot of a food web at a single point in time may not accurately represent the long-term energy flow or stability of the ecosystem. Ecologists must account for temporal variability when analysing food web structure and function. C

Worked example

Problem. Consider a simplified food web with 5 species: Grass (G), Rabbit (R), Fox (F), Vole (V), and Hawk (H). The observed links are: G→R, G→V, R→F, V→F, V→H, F→H. Calculate the connectance \( C \) of this web. Then, assuming a trophic efficiency \( \varepsilon = 0.1 \) and an initial producer energy \( E_0 = 1000 \ \mathrm{kJ} \), calculate the energy available at the hawk level (trophic level 4).

  1. Identify the number of species \( S = 5 \).
  2. Calculate the maximum possible links: \( S(S-1) = 5 \times 4 = 20 \).
  3. Count the actual links \( L = 6 \) (G→R, G→V, R→F, V→F, V→H, F→H).
  4. Calculate connectance: \( C = \frac{6}{20} = 0.3 \).
  5. Determine the trophic level of the hawk. Grass is level 1, Rabbit/Vole are level 2, Fox is level 3, Hawk is level 4 (via Fox) or level 3 (via Vole). The highest trophic level for Hawk is 4. Use \( n=4 \).
  6. Calculate energy at level 4: \( E_4 = E_0 \varepsilon^{4-1} = 1000 \times (0.1)^3 \).
  7. Compute the value: \( 1000 \times 0.001 = 1 \ \mathrm{kJ} \).
\[ C = 0.3, \quad E_4 = 1 \ \mathrm{kJ} \]

Units check. The connectance is a dimensionless ratio, and the energy is in kilojoules, consistent with the input units.

CHECK YOURSELF

Three quick tests

  1. What is the primary difference between a food chain and a food web?
    AnswerA food chain is a linear sequence of energy transfer, while a food web is a complex network of multiple feeding relationships.
  2. If trophic efficiency is 10%, what percentage of the original producer energy remains at the third trophic level?
    Answer1% (since \( 0.1 \times 0.1 = 0.01 \)).
  3. How does redundancy in a food web contribute to ecosystem stability?
    AnswerRedundancy provides alternative pathways for energy flow, buffering the system against the loss of any single species.
UNIT

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NOTES

Lecture notes checked line by line by the editor; every number in the worked example was recomputed.

Concepts cited: T-022 · Threads: systems, energy