survivorship curve
(noun)
a graph of the number of individuals surviving at each age interval plotted versus time
Examples of survivorship curve in the following topics:
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The Study of Population Dynamics
- Demography, or the study of population dynamics, is studied using tools such as life tables and survivorship curves.
- Trees, marine invertebrates, and most fishes exhibit a Type III survivorship curve.
- Survivorship curves show the distribution of individuals in a population according to age
- Birds have a Type II survivorship curve, as death at any age is equally probable.
- Distinguish between life tables and survivorship curves as used in demography
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Sampling Bias
- This section discusses various types of sampling biases including self-selection bias and survivorship bias.
- Survivorship bias occurs when the observations recorded at the end of the investigation are a non-random set of those present at the beginning of the investigation.
- Gains in stock funds is an area in which survivorship bias often plays a role.
- There is good evidence that this survivorship bias is substantial (Malkiel, 1995).
- However, this would ignore the survivorship bias occurring because only a subset of aircraft return.
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Curve Sketching
- Curve sketching is used to produce a rough idea of overall shape of a curve given its equation without computing a detailed plot.
- Determine the symmetry of the curve.
- If the exponent of $x$ is always even in the equation of the curve, then the $y$-axis is an axis of symmetry for the curve.
- Determine the asymptotes of the curve.
- Also determine from which side the curve approaches the asymptotes and where the asymptotes intersect the curve.
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Exercises
- Give an example of survivorship bias not presented in this text.
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Theories of Life History
- Modern theories of life history incorporate life and survivorship factors with ecological concepts associated with r- and K-selection theories.
- This includes the way they obtain resources and care for their young, as well as length of life and survivorship factors.
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Demand Schedules and Demand Curves
- A demand curve depicts the price and quantity combinations listed in a demand schedule.
- The curve can be derived from a demand schedule, which is essentially a table view of the price and quantity pairings that comprise the demand curve.
- The demand curve of an individual agent can be combined with that of other economic agents to depict a market or aggregate demand curve.
- In this manner, the demand curve for all consumers together follows from the demand curve of every individual consumer.
- The demand curve in combination with the supply curve provides the market clearing or equilibrium price and quantity relationship.
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The Relationship Between the Phillips Curve and AD-AD
- Changes in aggregate demand cause movements along the Phillips curve, all other variables held constant.
- The Phillips curve shows the inverse trade-off between rates of inflation and rates of unemployment.
- The Phillips curve and aggregate demand share similar components.
- Now, imagine there are increases in aggregate demand, causing the curve to shift right to curves AD2 through AD4.
- These two factors are captured as equivalent movements along the Phillips curve from points A to D.
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The Supply Curve in Perfect Competition
- In economics, a cost curve is a graph that shows the costs of production as a function of total quantity produced.
- In a free market economy, firms use cost curves to find the optimal point of production (minimizing cost).
- The various types of cost curves include total, average, marginal curves.
- Some of the cost curves analyze the short run, while others focus on the long run.
- When a table of costs and revenues is available, a firm can plot the data onto a profit curve.
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The Short-Run Phillips Curve
- The short-run Phillips curve depicts the inverse trade-off between inflation and unemployment.
- The Phillips curve depicts the relationship between inflation and unemployment rates.
- During the 1960's, the Phillips curve rose to prominence because it seemed to accurately depict real-world macroeconomics.
- Given a stationary aggregate supply curve, increases in aggregate demand create increases in real output.
- The short-run Phillips curve shows that in the short-term there is a tradeoff between inflation and unemployment.
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Market Supply
- As a result, the supply curve is upward sloping .
- Market supply is the summation of the individual supply curves within a specific market.
- The supply curve can be derived by compiling the price-to-quantity relationship of a seller.
- The market supply curve is simply the sum of every seller's individual supply curve.
- The market supply curve is an upward sloping curve depicting the positive relationship between price and quantity supplied.