Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
A species is a group of organisms that can potentially interbreed to produce fertile offspring; cross-breeding between different species usually results in infertile hybrids.
Autotrophs (producers) synthesize organic molecules from simple inorganic substances, such as and , using energy from light or oxidation of inorganic chemicals.
Heterotrophs obtain organic molecules from other organisms. They are classified into: Consumers (ingest living or recently killed organisms), Detritivores (ingest non-living organic matter via internal digestion), and Saprotrophs (secrete digestive enzymes onto organic matter for external digestion).
A community is formed by populations of different species living together and interacting with each other in a specific area.
An ecosystem consists of a community and its interactions with the abiotic environment (non-living factors like , temperature, and humidity).
Nutrient cycling is essential for ecosystem sustainability; while energy flows through ecosystems and is lost as heat, chemical elements like , , and are recycled indefinitely.
Mesocosms are small experimental areas used to investigate ecosystem sustainability under controlled conditions, requiring energy availability, nutrient cycling, and waste recycling.
The (Chi-squared) test is used to determine if there is a statistically significant association between the distribution of two species using quadrat sampling data.
📐Formulae
💡Examples
Problem 1:
An ecologist uses 100 quadrats to study the association between a moss species () and a fern species (). The results show: Both present in 20 quadrats, only Moss in 30, only Fern in 10, and neither in 40. Calculate the expected frequency () for 'Both Present' and determine the degrees of freedom ().
Solution:
- Calculate totals: Total Moss = . Total Fern = . Grand Total = .
- Expected frequency for 'Both Present': .
- Degrees of freedom: Since it is a contingency table, .
Explanation:
The expected frequency represents the number of quadrats where both species would be found if their distributions were completely independent. The degrees of freedom for a standard association test between two species is always because there are 2 categories (present/absent) for each species.
Problem 2:
In a sustainability study of a mesocosm, why must be present for the system to survive long-term?
Solution:
Autotrophs within the mesocosm require for the process of photosynthesis: .
Explanation:
Without , producers cannot synthesize the organic compounds (glucose) needed to support the food chain. The is typically replenished by the cellular respiration of both autotrophs and heterotrophs: .