Emily Markowitz1 (Emily.Markowitz AT noaa.gov)
Sun Ling Wang2 (sunling.wang AT usda.gov)
John Walden3 (John.Walden AT noaa.gov)
1Alaska Fisheries Science Center, National Marine Fisheries Service, National Oceanic and Atmospheric Administration, Seattle, WA 98195. Work completed as a contractor with ECS in the NOAA Fisheries Office of Science and Technology Economics & Social Analysis Division
2On detail with the NOAA Fisheries Office of Science and Technology Economics & Social Analysis Division. United States Department of Agriculture, Economic Research Service
3Northeast Fisheries Science Center, National Marine Fisheries Service, National Oceanic and Atmospheric Administration, Woods Hole, MA
The views expressed are those of the author and should not be attributed to the NOAA, ECS or ERS
GitHub: https://github.com/EmilyMarkowitz-NOAA/FishEconProdOutput
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library(devtools)
devtools::install_github("EmilyMarkowitz-NOAA/FishEconProdOutput", dependencies = TRUE)
library(FishEconProdOutput)
Develop alternative approaches to measure national and regional fishery outputs for productivity measurements.
Evaluate the impacts of missing data and other issues on output estimates.
The Tornqvist quantity index requires data on quantity and revenue shares. We employ landings quantity (pounds) and landings value ($USD) data by year, state, and species.
Data source: Fisheries One Stop Shop downloaded August 13 2020
More information about the data: Commericial Fisheries Landings Data
For specifics about how the Quantitative and Price Methods are derived, please read this Documentation.
Main fuctions of interest are:
PriceMethodOutput
PriceMethodOutput.Category
QuantityMethodOutput
QuantityMethodOutput.Category
A Flexible Function and Superlative Quantity Index (Diewert 1976)
Math Theory: General Total Factor Productivity (*TFP*) Equation
The general form of the TFP can be measured as aggregate output (Y) divided by real total inputs (X). Rates of TFP growth are constructed using the Törnqvist index approach. The TFP growth over two time periods is defined as:
$$ln(TFP_t/TFP_{t-1}) = \sum_{i=1}^n((\frac{R_{t,i} + R_{t-1,i}}{2}) * ln(\frac{Y_{t,i}}{Y_{t-1,i}}))) - \sum_{j=1}^m((\frac{W_{j,t} + W_{j,t-1}}{2}) * ln(\frac{X_{j,t}}{X_{j,t-1}})))$$
Such that:
Output represents $\sum_{i=1}^n((\frac{R_{it} + R_{it-1}}{2}) * ln(\frac{Y_{it}}{Y_{it-1}}))$
Input represents $\sum_{j=1}^n((\frac{W_{jt} + W_{jt-1}}{2}) * ln(\frac{X_{jt}}{X_{jt-1}}))$
where:
Yi = individual outputs. This will later be refered to as Qi in the following equations.
Xj = individual inputs
Ri = output revenue shares
Wj = input cost shares
t and t − 1 = time, where 1 is the minimum year in the dataset
i = fishery category, e.g., Finfish (=1), Shellfish (=2)
s = species, e.g., Salmon, Alewife, Surf Clams
###Variable Summary
Variables
Q = individual quantity outputs in pounds (lbs).
V = individual value outputs in dollars ($)
QE and VE = simple sum of Quantity (Q) and Value (V)
R = output revenue shares
baseyr is the year to base all indicides from
Subscript Inidicies
t and t − 1 are time subscripts, where 1 is the minimum year in the dataset
i is category, e.g., Finfish (=1), Shellfish (=2)
s is species, e.g., Salmon, Alewife, Surf Clams
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