What is Growth: Definition and 325 Discussions

Economic growth can be defined as the increase or improvement in the inflation-adjusted market value of the goods and services produced by an economy over time. Statisticians conventionally measure such growth as the percent rate of increase in real gross domestic product, or real GDP.Growth is usually calculated in real terms – i.e., inflation-adjusted terms – to eliminate the distorting effect of inflation on the prices of goods produced. Measurement of economic growth uses national income accounting. Since economic growth is measured as the annual percent change of gross domestic product (GDP), it has all the advantages and drawbacks of that measure. The economic growth-rates of countries are commonly compared using the ratio of the GDP to population (per-capita income).The "rate of economic growth" refers to the geometric annual rate of growth in GDP between the first and the last year over a period of time. This growth rate represents the trend in the average level of GDP over the period, and ignores any fluctuations in the GDP around this trend.
Economists refer to an increase in economic growth caused by more efficient use of inputs (increased productivity of labor, of physical capital, of energy or of materials) as intensive growth. In contrast, GDP growth caused only by increases in the amount of inputs available for use (increased population, for example, or new territory) counts as extensive growth.Development of new goods and services also generates economic growth. As it so happens, in the U.S. about 60% of consumer spending in 2013 went on goods and services that did not exist in 1869.

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  1. B

    When Will the Rabbit Population Recover After a Myxomatosis Outbreak?

    A rabbit population satisfies the logistic equation dy/dt=2*10^-7y(10^6-y) where t is the time measured in months. The population is suddenly reduced to 40%of its steady state size by myxomatosis. a) If the myxo' then has no effect how large is the population 8 months later? b)How long will it...
  2. N

    Modeling Population Growth [dP/dt = k P - A P2 - h]

    Does anyone know how to solve dP/dt = k P - A P2 - h for P. I understand partial fractions are needed and I have already solved dP/dt = k P - A P2. Is anyone able to solve it, Cheers NZBRU.
  3. N

    Fitting bacterial growth curve in Prism

    Hello, I'm in need of someone to show me how to fit a bacterial growth curve to data in Prism, preferably using the Gompertz function. I also need someone to show me how to assess the goodness of this fit. I have many different growth curves and I need to compare the parameters. Hopefully...
  4. R

    Tournament-style payout structures using exponential growth

    Hello! Excuse me for my very basic understanding of math. I'll try and present my idea and problem clearly. I'd like to devise a payout structure for a tournament. 20% of the entrants will be paid. The payout will be an exponentially sloping function. The payout is in percentages that equal...
  5. B

    Exponential growth (easy(?) question):

    Back to how income differences is explained in neoclassical theory, one can ask the question why GDP/capita is $5200 in Morocco and $35 500 in France. Real GDP per capita has grown at a rate of about 3.5% from 2008– 2012, GDP/capita in France grew in the same period at a rate of 1.1%...
  6. W

    Logistic growth model, differential equation

    Homework Statement dY/dt = y(c - yb) C and B are constants. Im supposed to find and explicit solution for y, but I am having trouble. Homework Equations The Attempt at a Solution dY/y(c - yb) = dt ∫(1/c)dy/y + ∫(b/c)dY/c - yb = ∫dt (i used partial fraction decompositions)...
  7. E

    Black hole growth and evaporation

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  8. C

    Brittle crack growth in normally ductile materials

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  9. K

    Nucleation and growth in a 2D Ising Model with Monte Carlo Simulation

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  10. M

    Exponential growth word problem, pie.

    This whole chapter has been tripping me. My professor made-up another way of doing this, which I'm having a hard time understanding. He's a really intelligent guy(even other professors say it) so he can do this, but I'm having a hard time understanding his way. I went to tutoring today, they...
  11. N

    Wavepackets and growth of water waves as they approach a beach

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  12. M

    Logorithm/Exponential bacteria growth? Quick yes or no question.

    Is this question equals to "after 9 hours"? I'm saying this because with each 2 hours, it's growing by a factor of 6 right? So it should normally be "after 9 hours" that the bacteria would have that mass?! I just want to know if it's right or not. I know of another way to solve it but it gives...
  13. L

    Exponential Growth- Am I doing this right?

    1. Let's say that at the end of 2010, the population of Athens was 100,000. Let's also say that the relative growth rate of the population was 2% per year. What's the population at t = 0.5 years after the end of 2010? 2. To solve this sort of problem, I thought I'd have to use: y= A(1+b)t A is...
  14. A

    MHB Proofs on growth rates of functions theorems using definition of a limit

    Hello, I am working through some proofs from the following document: Function Definitions Under Calculation of Big - Oh, some theorems are provided that classify the growth rates of functions in relation to one depending on what the limit is as the input approaches infinity. One proof is...
  15. BitWiz

    Is the growth of black holes paradoxical?

    Much of what people say about the vicinity of black holes doesn't seem to make sense. For instance, it seems to be impossible for a black hole to grow by "ingestion" by scooping up matter around it or in its path, at least in the traditional sense. Gravitational time dilation takes care of...
  16. D

    Elemental Abundance in Stars - The Curve of Growth

    I am studying for my undergraduate Astrophysics module and the lectures notes say that that all abundances are measured relative, in terms of H = 12.00 by mass or number of atoms. Is this correct? I thought it was all based off of Carbon = 12. Am I missing something?
  17. R

    Integrals and exponential growth problem

    Homework Statement Before the AP exam Cal Q Luss has 3 hours to cram: during this time, he wants to memorize a set of 60 derivative/integral formulas. According to psychologists, the rate at which a person can memorize a set of facts is proportional to the number of facts remaining to be...
  18. V

    Calculate exponential growth when rate r is changing

    The formula f(t) = I(1 + r)t gives the value of something after it has grown for t years, at rate r, with an initial value I. What if the growth rate r is continuously increasing? What is the formula now? Does it relate somehow to xx?
  19. D

    Differential Equation with growth

    So, I have a differential equation with growth problem. It is a dm/dt function and I need to get it to dD/dt, change in diameter with time. here is the original functon, dm/dt= (pi/4)(D)^2* (V(D))*(LWC)*E E=1 LWC = 2 V(D) = 343D^0.6 m/s it starts from a diameter of 1mm and grows to...
  20. marellasunny

    Difference between growth rate and net growth rate

    Hello all! I want to know the difference between growth rate and net growth rate(the context is broad-population or economic,take it as you may).
  21. P

    Which bacteria infect our food? What are their growth rates? Harmful levels?

    I'm curious about food preservation. Which are the most common dangerous bacteria? How quickly do they grow? What sort of conditions? And how many must be present to pose a threat to a human? Also, how do they survive the stomach? Do they infect via the mouth or esophagus?
  22. M

    First Order ODE Growth and Decay Modelling

    Homework Statement A culture of bacteria have a growth rate (as a percent) given by kb per year, constant k>0 and b is the number of bacteria. A virus removes bacteria at a rate of m bacteria per year. I am trying to model this information using an ODE, but might be making a mistake. Homework...
  23. C

    Modeling Population Growth with Constraints: A Scientific Approach

    Homework Statement I'm trying to model how a population would grow wrt the following constraints: 1. Number of people within the population 2. How many people each person of the population informs 3. Probability of each person of the population informing a member outside the population...
  24. M

    Using e to determine population growth?

    Homework Statement A population started at 10,000 in 1900. The population doubles every 50 years. What was the population in 2000? Homework Equations Q(time) = Q(initial)*e(rate)(time) The Attempt at a Solution I was able to come up with the answer using the standard growth...
  25. E

    Bacteria growth can be modelled by the function N(t)=No[3^(t/35)]

    Homework Statement The bacteria in a tuna sandiwch left out of refrigerator grows exponentially. The number of bacteria in a sandwich at any time, t, in minutes can be modeled by the function N(t)= No[3^(t/35)] a)if there are 600 bacteria initially, how long will it take for the bacteria...
  26. V

    Tumor Growth Data: Finding Datasets for Gompertz Model Fitting

    Good day, I am a first year in college and I am taking a course in systems biology. For this assignment we are to use the Gompertz growth formula and fit it to a data set of tumor growth, fitting the parameters and graphing everything with mathematica. As of now, I am stuck at the part where I...
  27. D

    New Macroeconomic Growth Theory?

    I recently came up with a theory that was the product of a 2 hour long thought experiment. Its more of a correlary than a theory I suppose. Please share input but approach it with an open mind and don't form an opinion without giving it a chance. Here it goes. According to Carl H. Flygt, "the...
  28. A

    Exponential Growth and Logarithmic Growth

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  29. V

    A few questions on axonal growth (nucleogenesis)

    These are not homework questions. I saw these and some other questions mentioned as discussion in a document. I could find answer to others. I need just 3 or 4 sentences simple answers to these so that I can get a head-start. 1. Compare at least two different examples where concentration...
  30. D

    Exponential growth differential equation

    Homework Statement A biomedical company finds that a certain bacteria used for crop insect control will grow exponentially at the rate of 12% per hour. Starting with 1000 bacteria, how many will they have after 10h? Homework Equations Topic is application of differential equations...
  31. E

    Differential equation of growth & decay

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  32. D

    Order by asymptotic growth rate

    Homework Statement I try to order given functions and I am stuck with evaluating the following: f(n)= (n+1)! and g(n)=n^{logn} Homework Equations \lim_{n\to\infty}\frac{f(n)}{g(n)} = 0 then g(n) is faster growing. \lim_{n\to\infty}\frac{f(n)}{g(n)} = \infty then f(n) is...
  33. L

    MHB Growth of Functions - Big Theta

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  34. MathWarrior

    Population Growth Differential Equations

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  35. D

    MHB Determining the growth rate of a function

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  36. Τ

    Exponential Growth of Bacteria

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  37. G

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  38. B

    Crystal Growth - Czochralski technique, finding concen. of dopant after growth

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  39. F

    Investment: growth investor

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  40. D

    Exponential Growth Functions

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  41. E

    Atomic/Physic description of life, growth and evolution

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  42. lisab

    Medical Understanding Fingernail Growth: Is a Variable Growth Rate Normal?

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  43. S

    Differential Equations - Population Growth

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  44. R

    Logistic growth model for cell proliferation with agents

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  45. J

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  46. B

    Calculating Ant Population Growth Over 10 Days

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  47. M

    Predicting adult height given current height, age and growth plate measurement

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  48. B

    Exponential Growth: Solving for n in 500 000 Citizens

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  49. P

    Simple population growth problem

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  50. E

    Bacterial Growth: Finding the Initial Size and Doubling Period

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