Population at Origin given Air Trips in Year y for Stated Purpose under Leisure Category Calculator

✖Air Trips in Year y for stated Purpose is defined as the total leisure flights made for the purpose under consideration in a certain number of years.ⓘ Air Trips in Year y for stated Purpose [II]			+10% -10%
✖Regression Contant a is the constant in a regression equation represents the y-intercept or baseline value, which is the expected value of the dependent variable.ⓘ Regression Contant a [a]			+10% -10%
✖Regression Contant b is the constant in a regression equation represents the y-intercept or baseline value, which is the expected value of the dependent variable.ⓘ Regression Contant b [b]			+10% -10%
✖Income, station affinity, propensity to invest and trade in year y for leisure.ⓘ Income [f_yl]			+10% -10%
✖Constant Reflection Surface Route Saturation is a value or number that does not change in expression.ⓘ Constant Reflection Surface Route Saturation [K]			+10% -10%
✖Mean Total Effective Fair (fare, supplements, and travel time) is denoted by F.ⓘ Mean Total Effective Fair [F]			+10% -10%
✖Mean Income of Households of potential travelers in origin country.ⓘ Mean Income of Households [I]			+10% -10%
✖Constant q for two category model developed for leisure air trips.ⓘ Constant q [q]			+10% -10%

✖Population of Origin City is the whole number of people or inhabitants in the origin city.ⓘ Population at Origin given Air Trips in Year y for Stated Purpose under Leisure Category [P_i]

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Formula

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Population at Origin given Air Trips in Year y for Stated Purpose under Leisure Category

Formula

`"P"_{"i"} = "II"/("a"+("b"*"f"_{"yl"})*(1/(1+("K"*("F"/"I")^"q"))))`

Example

`"60.2092"="325"/("0.6"+("0.8"*"6")*(1/(1+("0.98"*("32"/"68")^"10.2"))))`

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Population at Origin given Air Trips in Year y for Stated Purpose under Leisure Category Solution

STEP 0: Pre-Calculation Summary

Formula Used

Population of Origin City = Air Trips in Year y for stated Purpose/(Regression Contant a+(Regression Contant b*Income)*(1/(1+(Constant Reflection Surface Route Saturation*(Mean Total Effective Fair/Mean Income of Households)^Constant q))))
P_i = II/(a+(b*f_yl)*(1/(1+(K*(F/I)^q))))
This formula uses 9 Variables

Variables Used

Population of Origin City - Population of Origin City is the whole number of people or inhabitants in the origin city.
Air Trips in Year y for stated Purpose - Air Trips in Year y for stated Purpose is defined as the total leisure flights made for the purpose under consideration in a certain number of years.
Regression Contant a - Regression Contant a is the constant in a regression equation represents the y-intercept or baseline value, which is the expected value of the dependent variable.
Regression Contant b - Regression Contant b is the constant in a regression equation represents the y-intercept or baseline value, which is the expected value of the dependent variable.
Income - Income, station affinity, propensity to invest and trade in year y for leisure.
Constant Reflection Surface Route Saturation - Constant Reflection Surface Route Saturation is a value or number that does not change in expression.
Mean Total Effective Fair - Mean Total Effective Fair (fare, supplements, and travel time) is denoted by F.
Mean Income of Households - Mean Income of Households of potential travelers in origin country.
Constant q - Constant q for two category model developed for leisure air trips.

STEP 1: Convert Input(s) to Base Unit

Air Trips in Year y for stated Purpose: 325 --> No Conversion Required
Regression Contant a: 0.6 --> No Conversion Required
Regression Contant b: 0.8 --> No Conversion Required
Income: 6 --> No Conversion Required
Constant Reflection Surface Route Saturation: 0.98 --> No Conversion Required
Mean Total Effective Fair: 32 --> No Conversion Required
Mean Income of Households: 68 --> No Conversion Required
Constant q: 10.2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_i = II/(a+(b*f_yl)*(1/(1+(K*(F/I)^q)))) --> 325/(0.6+(0.8*6)*(1/(1+(0.98*(32/68)^10.2))))

Evaluating ... ...

P_i = 60.2092000619193

STEP 3: Convert Result to Output's Unit

60.2092000619193 --> No Conversion Required

FINAL ANSWER

60.2092000619193 ≈ 60.2092 <-- Population of Origin City

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Transportation Engineering » Airport Planning and Design » Airport Distribution Models » Generation-Distribution Models » Population at Origin given Air Trips in Year y for Stated Purpose under Leisure Category

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Coorg Institute of Technology (CIT), Coorg

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< 8 Generation-Distribution Models Calculators

Country Pair Relation Index given Air Traffic between Stations i and j

Go Country Pair Relation Index = ((Air Passengers between Cities i and j)/(Regression Coefficient a*(Station Share of GNP*Real Gross National Product)^Regression Coefficient b*(Station Share of GNP*Real Gross National Product)^Currency Scale Constant c*(Economy Fare+Currency Scale Constant a+(Currency Scale Constant b/(Economy Fare-Currency Scale Constant c)))))^(1/Regression Coefficient d)

Income for Leisure given Air Trips for Stated Purpose under Leisure Category

Go Income = ((Air Trips in Year y for stated Purpose/Population of Origin City)-Regression Contant a)/(Regression Contant b*(1/(1+(Constant Reflection Surface Route Saturation*(Mean Total Effective Fair/Mean Income of Households)^Constant q))))

Population at Origin given Air Trips in Year y for Stated Purpose under Leisure Category

Go Population of Origin City = Air Trips in Year y for stated Purpose/(Regression Contant a+(Regression Contant b*Income)*(1/(1+(Constant Reflection Surface Route Saturation*(Mean Total Effective Fair/Mean Income of Households)^Constant q))))

Air Trips in Year y for Stated Purpose under Leisure Category

Go Air Trips in Year y for stated Purpose = Population of Origin City*(Regression Contant a+(Regression Contant b*Income)*(1/(1+(Constant Reflection Surface Route Saturation*(Mean Total Effective Fair/Mean Income of Households)^Constant q))))

Population at i given Air Trips between i and j

Go Population of Origin City = Air Trips between i and j/((Calibrated Constant+(Country Pair Relation Index*Number of Years)+(Factor to Adjust for Quantum Effects))*Population of Destination City)

Air Trips between i and j

Go Air Trips between i and j = (Population of Origin City*Population of Destination City)*(Calibrated Constant+(Country Pair Relation Index*Number of Years)+(Factor to Adjust for Quantum Effects))

Factor to adjust for Quantum Effects given Air Trips between i and j

Go Factor to Adjust for Quantum Effects = (Air Trips between i and j/(Population of Origin City*Population of Destination City))-Calibrated Constant-(Country Pair Relation Index*Number of Years)

Time in Years given Air Trips between i and j

Go Number of Years = ((Air Trips between i and j/(Population of Origin City*Population of Destination City))-Calibrated Constant-Factor to Adjust for Quantum Effects)/Country Pair Relation Index

Population at Origin given Air Trips in Year y for Stated Purpose under Leisure Category Formula

What is Revenue Passenger Mile (RPM)?

A Revenue Passenger Mile (RPM) is a transportation industry metric that shows the number of miles traveled by paying passengers and is typically an airline traffic statistic. Revenue passenger miles are calculated by multiplying the number of paying passengers by the distance traveled.

What is Trip Distribution Model?

The Trip Distribution Model predicts the level of trip interchange between designated airport pairs once the level of generation of the air trip ending at the individual airport has been computed. The most widely used distribution model applied to the transport situation has been the gravity model.

How to Calculate Population at Origin given Air Trips in Year y for Stated Purpose under Leisure Category?

Population at Origin given Air Trips in Year y for Stated Purpose under Leisure Category calculator uses Population of Origin City = Air Trips in Year y for stated Purpose/(Regression Contant a+(Regression Contant b*Income)*(1/(1+(Constant Reflection Surface Route Saturation*(Mean Total Effective Fair/Mean Income of Households)^Constant q)))) to calculate the Population of Origin City, The Population at Origin given Air Trips in Year y for Stated Purpose under Leisure Category is defined as the total estimated population at the origin city during a certain year of consideration. Population of Origin City is denoted by P_i symbol.

How to calculate Population at Origin given Air Trips in Year y for Stated Purpose under Leisure Category using this online calculator? To use this online calculator for Population at Origin given Air Trips in Year y for Stated Purpose under Leisure Category, enter Air Trips in Year y for stated Purpose (II), Regression Contant a (a), Regression Contant b (b), Income (f_yl), Constant Reflection Surface Route Saturation (K), Mean Total Effective Fair (F), Mean Income of Households (I) & Constant q (q) and hit the calculate button. Here is how the Population at Origin given Air Trips in Year y for Stated Purpose under Leisure Category calculation can be explained with given input values -> 60.2092 = 325/(0.6+(0.8*6)*(1/(1+(0.98*(32/68)^10.2)))).

FAQ

What is Population at Origin given Air Trips in Year y for Stated Purpose under Leisure Category?

The Population at Origin given Air Trips in Year y for Stated Purpose under Leisure Category is defined as the total estimated population at the origin city during a certain year of consideration and is represented as P_i = II/(a+(b*f_yl)*(1/(1+(K*(F/I)^q)))) or Population of Origin City = Air Trips in Year y for stated Purpose/(Regression Contant a+(Regression Contant b*Income)*(1/(1+(Constant Reflection Surface Route Saturation*(Mean Total Effective Fair/Mean Income of Households)^Constant q)))). Air Trips in Year y for stated Purpose is defined as the total leisure flights made for the purpose under consideration in a certain number of years, Regression Contant a is the constant in a regression equation represents the y-intercept or baseline value, which is the expected value of the dependent variable, Regression Contant b is the constant in a regression equation represents the y-intercept or baseline value, which is the expected value of the dependent variable, Income, station affinity, propensity to invest and trade in year y for leisure, Constant Reflection Surface Route Saturation is a value or number that does not change in expression, Mean Total Effective Fair (fare, supplements, and travel time) is denoted by F, Mean Income of Households of potential travelers in origin country & Constant q for two category model developed for leisure air trips.

How to calculate Population at Origin given Air Trips in Year y for Stated Purpose under Leisure Category?

The Population at Origin given Air Trips in Year y for Stated Purpose under Leisure Category is defined as the total estimated population at the origin city during a certain year of consideration is calculated using Population of Origin City = Air Trips in Year y for stated Purpose/(Regression Contant a+(Regression Contant b*Income)*(1/(1+(Constant Reflection Surface Route Saturation*(Mean Total Effective Fair/Mean Income of Households)^Constant q)))). To calculate Population at Origin given Air Trips in Year y for Stated Purpose under Leisure Category, you need Air Trips in Year y for stated Purpose (II), Regression Contant a (a), Regression Contant b (b), Income (f_yl), Constant Reflection Surface Route Saturation (K), Mean Total Effective Fair (F), Mean Income of Households (I) & Constant q (q). With our tool, you need to enter the respective value for Air Trips in Year y for stated Purpose, Regression Contant a, Regression Contant b, Income, Constant Reflection Surface Route Saturation, Mean Total Effective Fair, Mean Income of Households & Constant q and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Population of Origin City?

In this formula, Population of Origin City uses Air Trips in Year y for stated Purpose, Regression Contant a, Regression Contant b, Income, Constant Reflection Surface Route Saturation, Mean Total Effective Fair, Mean Income of Households & Constant q. We can use 1 other way(s) to calculate the same, which is/are as follows -

Population of Origin City = Air Trips between i and j/((Calibrated Constant+(Country Pair Relation Index*Number of Years)+(Factor to Adjust for Quantum Effects))*Population of Destination City)

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