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FAAOffice of Aviation Policy and Plans (APO-100)
FAA U.S. Passenger Airline Forecasts, Fiscal Years 2017-2037Methodology and Data Sources
March 24, 2017Version 1.0
Table of ContentsBackground................................................................................................................................................ 3Purpose of this document.......................................................................................................................... 4Document revision history......................................................................................................................... 4Acknowledgements.................................................................................................................................... 4Domestic forecast methodology................................................................................................................5
Forecast Years...................................................................................................................................... 5Assumptions.......................................................................................................................................... 5Domestic Forecast Methodology...........................................................................................................6Alternative Scenarios............................................................................................................................ 9
U.S. Airlines International Forecast............................................................................................................9Forecast Years.................................................................................................................................... 10Form 41 Forecast Methodology..........................................................................................................10Alternative Scenarios..........................................................................................................................12
U.S. and Foreign Flag International Forecast...........................................................................................12Forecast Years.................................................................................................................................... 13CBP Forecast Methodology................................................................................................................13
APPENDIX A: Glossary of terms.............................................................................................................18APPENDIX B: Data inputs and sources...................................................................................................19
Data inputs and sources for the baseline domestic forecast...............................................................19APPENDIX C: Model outputs....................................................................................................................27
Baseline Domestic Model Output........................................................................................................27Baseline International (Form 41) Model Output...................................................................................38Baseline International (Customs and Border Protection) Model Output..............................................42
FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 2 of 63Methodology and Data Sources Office of Aviation Policy and Plans
Background
The Federal Aviation Administration (FAA) Aerospace Forecast Report, henceforth referred to as the Report, is produced annually by the FAA’s Forecast and Performance Analysis Branch of the Office of Aviation Policy and Plans (APO-100). The Report covers the following subject areas:
U.S. airlines (passenger and cargo) General aviation U.S. commercial aircraft fleet Unmanned aircraft systems Commercial space transportation, and FAA operations at towers, Terminal Radar Approach Control and En-Route facilities
From this point onward, this document will only discuss the traffic and passenger forecasts developed for U.S. passenger airlines.
The Report details operations and passengers, over a twenty year period, for U.S. airlines flying domestically and internationally. These forecasts are used by the agency in its planning and decision-making processes. In addition, these forecasts are used extensively throughout the aviation and transportation communities as the industry plans for the future.
The forecasts can be found at this website: Link to Aviation Aerospace Forecas
In reading and using the information contained in the forecasts, it is important to recognize that forecasting is not an exact science. Forecast accuracy is largely dependent on underlying economic and political assumptions. While this always introduces some degree of uncertainty in the short-term, the long run average trends generally tend to be stable and accurate.
It should also be noted that the forecasts reflect unconstrained demand; that is, it is assumed that airports, air traffic control, and the airlines will increase supply as demand warrants.
Lastly, the forecasts represent only flights that enter or depart from the United States (U.S.) and do not include Unmanned Aerial Systems (UASs)1 nor low earth orbit flights.
1 Also known in the popular press as “drones.”FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 3 of 63Methodology and Data Sources Office of Aviation Policy and Plans
Purpose of this document
The purpose of this document is to standardize the process, requirements, data sources and analyst judgment required to develop the national and international forecasts as well as provide a reference for anyone who uses them in their own analyses.
Updates to this document will be made on an on-going, as needed basis. Policy decisions, software updates, and data availability may necessitate changes. Any questions or comments should be directed to the individuals listed in the Acknowledgements section.
Document revision history
Revised by Roger Schaufele, APO-100 Date Revised March 21, 2017Revision Reason First draft Revision Control No. 1.0
Acknowledgements
This document was prepared by the FAA Forecast and Performance Analysis Branch of the Office of Aviation Policy and Plans under the direction of Roger Schaufele, Manager. The following individuals were responsible for individual subject areas:
Economic environment and general oversightRoger Schaufele, [email protected]
Domestic forecastsRoger Schaufele, [email protected]
International forecastsLi [email protected]
FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 4 of 63Methodology and Data Sources Office of Aviation Policy and Plans
Domestic forecast methodology
Forecast YearsThe Report is published annually by the FAA and includes historical data and forecast data for a 20 year horizon. Historical and forecast data presented include:
Economic assumptions Available seat miles (ASMs) Revenue passenger miles (RPMs) Load factor (LF) Passenger miles flown Nominal and real passenger yield2
Enplaned passengers Average seats per aircraft mile Average passenger trip length (PTL) Forecast accuracy3
Alternative (optimistic and pessimistic) scenarios
Data in the Report are presented on a U.S. Government fiscal year basis (October through September). All model inputs are converted from calendar year to fiscal year when required.
AssumptionsThe Report assumes an unconstrained demand driven forecast for aviation services based upon national economic conditions as well as conditions within the aviation industry. It is “unconstrained” in the sense that over the long term, it is assumed that the aviation industry will expand (or contract) as necessary to meet demand. That said, it should be noted that some airports do function under constrained conditions (e.g., slot caps at LaGuardia airport) and that weather and unforeseen events like September 11, 2001 impact demand and the ability of the system to satisfy demand requirements in real time. These real world “constraints” are inherent in the historical data that the statistical models use to forecast the outputs bulleted above; therefore, they do influence the model’s “unconstrained” forecast.
Domestic Forecast MethodologyHistorical data used to supply inputs into the forecast models were obtained from U.S. Department of Transportation’s Bureau of Transportation Statistics. Additional information about the input data can be found in Appendix B.
2 Yield includes the following taxes and fees: FAA ad valorem tax, segment fee and Transportation Security Administration (TSA) security fee.3 The forecast accuracy section evaluates system totals, that is, the total of domestic and international forecast variables.FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 5 of 63Methodology and Data Sources Office of Aviation Policy and Plans
For statistical modeling, APO uses SAS software.4 To develop its short term (one year out) domestic and international forecasts of key traffic measures, the FAA uses a simplified version of the Unobserved Components Model (UCM)5 called the Basic Structural Model (BSM). The model is used to forecast enplaned passengers (PAX), RPMs and LF. The UCM model is a convenient way to additively decompose a time series into components: the trend, the seasons, the cycles, the autoregressive term, regressive terms involving lagged dependent variables, regressive terms on independent variable and the so-called irregular movements.The BSM is formally described by the equation
yt = μt + γt + εt where μt = μt-1 + βt-1 + ηt with βt = βt-1 + ξt
where ηt ~ niid(0,ση2) and ξt ~ niid (0,σξ
2).
The equation defining μt is called the level of the trend and the equation defining β t is called the (eventually stochastic) slope of the trend, the notation “niid” standing for normally independently and identically distributed. It is also assumed that ηt and ξt are independent of each other.
There are models for four separate entities: Domestic, Atlantic, Latin, and Pacific, corresponding to the U.S. Department of Transportation entity definitions used in Form 41 reporting. Overall a total of twelve sets of coefficients are developed, three sets of coefficients (one for the PAX model, one for the RPM model, and one for the LF model) for each of the four entities. Forecasts for ASMs and PTL for each entity are calculated using the forecasted values of RPMs and LF for ASMs and RPMs along with PAX for PTL. Forecasts for passenger yields are based on entity specific historic month over month variation applied to the latest actual monthly data for each entity as reported in the Airlines 4 America monthly yield report. For the remaining years, APO employs a three-stage, least squares (3SLS) regression analysis of a sys-tem of equations. The rationale behind choosing 3SLS over ordinary least squares (OLS) is that the er -rors of the different equations are correlated and 3SLS model provides a way to produce estimates that are more consistent and asymptotically efficient.6
For the 3SLS model, the following variables were used:
Endogenous variables7:
4 The modeling software used is SAS v9.3, copyrighted by SAS Institute Inc., Cary, NC USA.5 For further information, please see SAS/ETS 13.2 User’s Guide: The UCM Procedure, page 2304, Link to SAS.6 For more detailed information about the 3SLS model, please refer to SYSLIN procedure documentation at Link to SAS, SAS Institute Inc.7 Endogenous variables are variables determined by the system. Endogenous variables can also appear on the right-hand side of equations. Source: SAS Institute Inc. website, http://support.sas.com/documentation/cdl/en/etsug/60372/HTML/default/viewer.htm#etsug_syslin_sect004.htm, dated April 8, 2016.FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 6 of 63Methodology and Data Sources Office of Aviation Policy and Plans
Log of mainline carrier RPMs Log of mainline carrier passenger yield Log of regional carrier load factor Log of mainline carrier load factor Log of mainline carrier real cost per available seat mile (ASM) Log of mainline carrier stage length
Instrumental variables8:
Log of personal consumption expenditure per capita Civilian unemployment rate Post September 11, 2001 dummy variable (fiscal year 2002 onwards) Mainline carrier’s share of domestic passenger market Regional carrier average passenger trip length Log of mainline carrier average passenger trip length A time variable (i.e., 1/(year – 1986)) Log of refiners acquisition cost (i.e., weighted average price of crude received in refinery)
The following relationships were then determined, and using the resultant coefficients, the dependent variables were forecast into the future.9 This procedure was done separately using mainline and regional carrier data to produce two sets of predicted variables.
8 Instrumental variables are predetermined variables used in obtaining values for the current period endogenous variables by a first-stage regression. The use of instrumental variables characterizes estimation methods such as two-stage least squares and three-stage least squares. Instrumental variables estimation methods substitutes these first-stage predicted values for endogenous variables when they appear as regressors in model equations. Source: SAS website, Link to SAS, dated 2014.9 The SIMLIN procedure was used to generate predicted values for the dependent variables using the coefficients that were produced by the SYSLIN procedure. For more detailed information, please refer to SIMLIN procedure documentation at http://support.sas.com/documentation/cdl/en/etsug/60372/HTML/default/viewer.htm#etsug_simlin_sect001.htm, SAS Institute Inc.FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 7 of 63Methodology and Data Sources Office of Aviation Policy and Plans
Dependent variable Independent variables
Log of mainline carrier RPMs
Log of real PCE per capita
Unemployment rate
Log of mainline carrier passenger yield10
Post September 11, 2001 dummy variable
Log of mainline carrier real yield Log of mainline carrier passenger trip length
Log of mainline carrier real cost per ASM
Log of mainline carrier stage length Log of real refiners acquisition cost
Log of mainline carrier passenger trip length
Log of mainline carrier cost per ASM Log of mainline carrier stage length
Log of real refiners acquisition cost
Log of regional load factor
Time variable (i.e., 1/(year-1986))
Post September 11, 2001 dummy variable
Lagged log of regional load factor
Log of mainline carrier load factor
Time variable (i.e., 1/(year-1986))
Post September 11, 2001 dummy variable
Lagged log of mainline carrier load factor
These variables and the structure of the linear equations were chosen after much beta testing of different economic variables and model structures; this model produced the best fit and accurately reflected the analysts’ knowledge of the aviation industry. It will be subject to change in the future as the aviation in-dustry restructures itself or if major disruptions to the economy occur. The output from the statistical model is shown in Appendix C of this document.
For the Report, the growth rates of the statistical model’s predicted variables were used rather than the actual predicted values. The growth rates were spliced on to fiscal year 2016 estimates which were esti -mated separately via the BSM model described earlier. These forecast values were then used to generate the following forecast variables for mainline and re-gional carriers:
Forecast variable Formula11
Load factor RPMs / ASMs
Carrier departures Miles flown / stage length
Carrier miles flown Previous year value * growth rate of ASMs12
10 The term yield, in all of the domestic models detailed in this report, includes the following taxes and fees: ad valorem taxes, segment fee and TSA security fee.11 For ease of reading, multiplicative factors used to convert numbers to millions, thousands, etc. as needed have been eliminated.12 This growth rate was adjusted slightly by the analyst based on an understanding of industry trends.FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 8 of 63Methodology and Data Sources Office of Aviation Policy and Plans
Carrier stage length Trip length / Trip vs stage length ratio
Seats per aircraft mile ASMs / miles flown
Mainline carrier passenger revenue Nominal passenger yield * RPMs
Mainline carrier nominal passenger yield Real passenger yield * consumer price index
Mainline carrier real passenger yieldPrevious year * statistical model’s predicted real
yield mainline carrier growth rate
Regional carrier passenger revenuePrevious year * (mainline real yield growth rate * re-
gional RPM growth rate)
Regional nominal passenger yield Passenger revenue / RPMs
Regional carrier real passenger yield Passenger revenue / consumer price index
Trip length versus stage length ratioAnnual growth rate of .05% was applied per analyst
judgment
The mainline and regional carrier variables are then summed to produce domestic totals; these numbers are reproduced in the various tables of Appendix C of the Report.
Alternative ScenariosOptimistic and pessimistic scenarios were also created for the domestic forecast. All of the model inputs, sources, and calculations are identical to the baseline forecast (described above) except for the economic data from IHS Global Insight.13 Rather, data from IHS Global Insight’s 10-year and 30-year optimistic and pessimistic forecasts from their January 2017 Baseline U.S. Economic Outlook were used. Inputs from these alternative scenarios were used to create a “high” and a “low” traffic, capacity, and yield forecast.
U.S. Airlines International Forecast
This forecast focuses solely on U.S. airlines flying into or out of the U.S. and relies upon Form 4114 data provided by BTS and IHS Global Insight. As is the case with the domestic forecast, it is a 20 year fore-cast based on the federal government’s fiscal year.
13 IHS Global Insight is a large, independent private consulting firm with a division devoted to economic analysis and forecasting. More information about the company can be found at Info from ihs.com.14 “The Form 41 Financial Reports contain financial information on large certificated U.S. air carriers. Financial information includes balance sheet, cash flow, employment, income statement, fuel cost and consumption, aircraft operating expenses, and operating expenses. This data is collected by the Office of Airline Information of the Bureau of Transportation Statistics. [Schedule P-1.2] provides quarterly profit and loss statements for carriers with annual operating revenues of $20 million or more. The data include operating revenues, operating expenses, depreciation and amortization, operating profit, income tax, and net income.” Data Profile: Air Carrier Statistics (Form 41 Traffic) for U.S. Carriers, BTS website, Info from BTS=.FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 9 of 63Methodology and Data Sources Office of Aviation Policy and Plans
Forecast YearsThe Report includes historical data and forecast data for a 20 year horizon. Historical and forecast data presented include:
Economic assumptions Available seat miles (ASMs) Revenue passenger miles (RPMs) Load factor Nominal and real passenger yield15
Passengers Alternative (optimistic and pessimistic) scenarios
Data in the Report are presented on a U.S. Government fiscal year basis (October through September).Form 41 Forecast MethodologyHistorical data used to supply inputs into the forecast models were obtained from U.S. Department of Transportation’s Bureau of Transportation Statistics. Additional information about the input data can be found in Appendix B.
The statistical model16 used for the Form 41 based international forecast employs a general linear regres-sion model for three regions: Atlantic17, Latin18 and Pacific19. The dependent variable is RPMs for each model.
The independent variables for each model are shown below; additional information about them can be found in Appendix B.
15 For the international forecasts, real and nominal yield excludes taxes and fees due to airline reporting requirements on Form 41. 16 The modeling software used is SAS v9.3, copyrighted by SAS Institute Inc., Cary, NC USA.17 The Atlantic region includes Western and Central Europe, the Balkans, Commonwealth of Independent states, the Middle East, and Africa.18 The Latin region includes Latin America and the Caribbean.19 The Pacific region includes the Asia-Pacific region.FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 10 of 63Methodology and Data Sources Office of Aviation Policy and Plans
Model Independent Variable Description
Atlantic region
US25For75 Ratio of indexed U.S. GDP to indexed Atlantic region GDP
Tension Gulf wars dummy variable; applied to 1991 and 2003
Post911Post September 11, 2001 dummy variable; applied to 2002-2036
Latin regionLatinGDPIx50 Ratio of indexed U.S. GDP to indexed Latin region GDP
Post911Post September 11, 2001 dummy variable; applied to 2002-2036
Pacific region
TotalPacAsiaGDPSum of U.S., Japan and Pacific region (excluding Japan) GDP
SARSSevere acute respiratory syndrome dummy variable; applied to 2003
GFC2Global financial crisis dummy variable; applied to 2008-2010
Post911Post September 11, 2001 dummy variable; applied to 2002-2036
These variables and the structure of the regression models were chosen after much testing of different economic variables and model structures; these models produced the best fit and accurately reflected the analysts’ knowledge of the aviation industry. They will be subject to change in the future as the aviation industry restructures itself or if major disruptions to the world economies occur. The output from the re-gional models is shown in Appendix C of this document.
The region specific models’ predicted annual growth rates for the dependent variable, RPMs, is then ap-plied to the last historical year of data; in this case, 2016. The final results are three forecasts of RPMs, one for each region.
To develop a forecast of passengers by region, the model’s forecast regional RPMs, described in the pre-ceding paragraph, are divided by an estimated annual trip length of the respective region. The latter is determined by an APO analyst looking at regional historical data and applying knowledge of the aviation industry. It should be noted that, globally, trip length is increasing at a decreasing rate since there is a natural limit to how far people are willingor needto fly on a single trip.
These forecast values were then used to generate the following forecast variables for mainline and re-gional carriers for each of the three regions:
Forecast variable Formula20
Nominal passenger revenue RPMs * Nominal yieldNominal yield Nominal passenger revenue / RPMsReal yield Nominal yield / CPI index
20 For ease of reading, multiplicative factors used to convert numbers to millions, thousands, etc. as needed have been eliminated.FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 11 of 63Methodology and Data Sources Office of Aviation Policy and Plans
Seats per aircraft Forecast based on analyst judgment of historical trends and knowledge of the industry
Miles flown ASMs / Seats per aircraftTrip length RPMs / PassengersMainline trip vs stage length Forecast based on analyst judgment of historical
trends and knowledge of the industryMainline carrier stage length (miles) Total aircraft miles flown for all three regions /
Mainline trip vs stage length estimateMainline carrier departures Total miles flown for all three regions / Mainline
stage lengthRegional carrier international departures Forecast based on analyst judgment of historical
trends and knowledge of the industryTotal carrier departures Mainline + regional carrier departures for all three
regionsLoad factor RPMs / ASMs
Most of these variables are reproduced in the various tables of Appendix C of the Report.
Alternative ScenariosOptimistic and pessimistic scenarios were also created for the international F41 forecast. All of the model inputs, sources, and calculations are identical to the baseline forecast (described above) except for the economic data from IHS Global Insight. Rather, for U.S. GDP forecasts, data from IHS Global Insight’s 30-year optimistic and pessimistic forecasts from their September 2016 Baseline U.S. Economic Outlook were used. Since IHS Global Insight does not produce optimistic and pessimistic forecasts for their world GDP components table, a set of ratios were derived using Global Insight’s baseline, optimistic, and pes-simistic 30-year macro scenarios for Major Trading Partners GDP and Minor Trading Partners GDP. In-puts from these alternative scenarios were used to create a “high” and a “low” traffic, capacity, and yield forecast.
U.S. and Foreign Flag International Forecast
This passengers-only forecast includes U.S. and foreign flag carriers flying into or out of the U.S. and re -lies upon passenger data provided by the U.S. Customs and Border Protection (CBP) agency21 and GDP and exchange rate data provided by IHS Global Insight.
Forecast YearsThe Report includes historical data and forecast data for a 20 year horizon. Data in the Report are presented on a U.S. Government calendar year basis. CBP Forecast MethodologyHistorical data used to supply inputs into the forecast models were obtained from CBP. Additional infor-mation about the input data can be found in Appendix B.
21 Customs and border protection data is processed and released by the Department of Commerce.FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 12 of 63Methodology and Data Sources Office of Aviation Policy and Plans
The statistical model22 used for the CBP based international forecast employs a general linear regression model for multiple independent countries. These countries were chosen because they form the majority of the passengers traveling between the U.S. and foreign destinations. The dependent variable is pas-sengers for all of the models.
The independent variables for each model are shown below; additional information about them can be found in Appendix B. These models were chosen based on goodness of fit and the analyst’s knowledge of the aviation market within the country under review.
As is the case with the domestic forecast, this forecast is unconstrained as well.
22 The modeling software used is SAS v9.3, copyrighted by SAS Institute Inc., Cary, NC USA.FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 13 of 63Methodology and Data Sources Office of Aviation Policy and Plans
Model Independent Variable DescriptionAtlantic Region
France
GDP5 Ratio of indexed U.S.GDP vs indexed France GDP
YieldForecast based on analyst judgment of historical trends and knowledge of the industry
Post911Post September 11, 2001 dummy variable; applied to 2002-2036
Germany
LGDP5 Log(ratio of indexed U.S. GDP vs indexed Germany GDP)
LExch Log(exchange rate of euro vs U.S. dollar)
Post911Post September 11, 2001 dummy variable; applied to 2002-2036
Ireland
LGDP6 Log(ratio of indexed U.S. GDP vs indexed Ireland GDP)
LExch Log(exchange rate of euro vs U.S. dollar)
YieldForecast based on analyst judgment of historical trends and knowledge of the industry
TravelTax Ireland Air Travel Tax dummy variable
Post911Post September 11, 2001 dummy variable; applied to 2002-2036
Italy
GDP7 Log(ratio of indexed U.S. GDP vs indexed Germany GDP)
PanAm Pan American bankruptcy dummy variable; applied to 1991
Post911Post September 11, 2001 dummy variable; applied to 2002-2036
IraqWar Iraq War dummy variable; applied to 2003
Millennium 2001 dummy variable
Netherlands
GDP5 Ratio of indexed U.S. GDP vs indexed Netherlands GDP
11-Sep September 11, 2001 dummy variable; applied to 2001
Post911Post September 11, 2001 dummy variable; applied to 2002-2036
Spain GDP1 Ratio of indexed U.S. GDP vs indexed Spain GDP
FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 14 of 63Methodology and Data Sources Office of Aviation Policy and Plans
United Kingdom
GDP9 Ratio of indexed U.S. GDP vs indexed UK GDP
Post911Post September 11, 2001 dummy variable; applied to 2002-2036
GFCGlobal financial crisis dummy variable; applied to 2008-2036
Other European countries
GDP3Log(ratio of indexed U.S. GDP vs indexed other European countries GDP)
Post911Post September 11, 2001 dummy variable; applied to 2002-2036
11-Sep September 11, 2001 dummy variable; applied to 2001
Latin America Region
Bahamas
YieldForecast based on analyst judgment of historical trends and knowledge of the industry
Post911 Post September 11, 2001 dummy variable; applied to 2002-2036
11-Sep September 11, 2001 dummy variable; applied to 2001
Brazil
GDP4 Log(ratio of indexed U.S. GDP vs indexed Brazil GDP)11-Sep September 11, 2001 dummy variable; applied to 2001
Post911Post September 11, 2001 dummy variable; applied to 2002-2036
Dominican Republic
GDP5Log(ratio of indexed U.S. GDP vs indexed Dominican Republic GDP)
Jamaica GDP5 Log(ratio of indexed U.S. GDP vs indexed Jamaica GDP)
Mexico LGDP6 Log(ratio of indexed U.S. GDP vs indexed Mexico GDP)
Other Latin America countries
GDP3Log(ratio of indexed U.S. GDP vs indexed other Latin American countries GDP)
Post911Post September 11, 2001 dummy variable; applied to 2002-2036
FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 15 of 63Methodology and Data Sources Office of Aviation Policy and Plans
Pacific Region
China
GDP5 Ratio of indexed U.S. GDP vs indexed China GDPExch Exchange rate of Renminbi vs U.S. dollar
Post911Post September 11, 2001 dummy variable; applied to 2002-2036
Hong Kong
GDP3 Ratio of indexed U.S. GDP vs indexed Hong Kong GDPSARS SARS epidemic dummy variable; applied to 2003
Post911Post September 11, 2001 dummy variable; applied to 2002-2036
IndiaGDP5 Ratio of indexed U.S. GDP vs India indexed GDP
NonStopServStart of non-stop service from U.S. to India dummy variable; applied to 2006-2036
Japan
LGDP2 Log(ratio of indexed U.S. GDP vs indexed Japan GDP)
LNFlatYield Log of real yield held constant from 2015 onwards11-Sep September 11, 2001 dummy variable; applied to 2001
Post911Post September 11, 2001 dummy variable; applied to 2002-2036
South Korea
LGDP2Log(ratio of indexed U.S. GDP vs indexed South Korea GDP)
11-Sep September 11, 2001 dummy variable; applied to 2001
Post911Post September 11, 2001 dummy variable; applied to 2002-2036
FinanCrisis Financial crisis dummy variable; applied 1998-1999NWPaxData
Taiwan
GDP5 Ratio of indexed U.S. GDP vs indexed Taiwan GDP
Post911Post September 11, 2001 dummy variable; applied to 2002-2036
GFCGlobal financial crisis dummy variable; applied to 2008-2036
Other PacificGDP3
Ratio of indexed U.S. GDP vs indexed other Pacific countries GDP
GFCGlobal financial crisis dummy variable; applied to 2008-2036
FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 16 of 63Methodology and Data Sources Office of Aviation Policy and Plans
Transborder (via Canada)
LGDP7 Log(ratio of indexed U.S. GDP vs indexed Canada GDP)
11-Sep September 11, 2001 dummy variable; applied to 2001
Post911Post September 11, 2001 dummy variable; applied to 2002-2036
The passenger forecasts for the individual countries are not reported publicly; rather, only the annual totals for all countries combined are discussed in the text of the Report. The data are not represented in the tables in the appendices. Alternative forecasts for the CBP forecast are not done.
FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 17 of 63Methodology and Data Sources Office of Aviation Policy and Plans
APPENDIX A: Glossary of terms
Acronym Description3SLS Three stage least square statistical modelAPO FAA Office of Aviation Policy and PlansASMs Available seat milesBSM Basic structural modelCBP U.S. Customs and Border Protection AgencyCY Calendar yearF41 or Form 41 Form 41 Financial Reports from the U.S. Bureau of Transportation StatisticsFAA Federal Aviation AdministrationFY Federal government fiscal year (October – September)GDP Gross domestic productOLS Ordinary least squares modelPAX PassengerPCE Personal consumption expenditurePTL Passenger trip lengthRAC Refiners acquisition costRPMs Revenue passenger milesSAS Statistical Analysis Software (a software suite developed by SAS Institute)SARS Severe acute respiratory syndrome
FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 18 of 63Methodology and Data Sources Office of Aviation Policy and Plans
APPENDIX B: Data inputs and sources
Data inputs and sources for the baseline domestic forecast
Economic Variables (all data are converted to fiscal year by APO)Model Label Description Notes
Model input Source
CPIConsumer price index, all-urban, Source: BLS, Units: - 1982-84=1.00 seasonally adjusted
Index is used to calculate real prices, such as yield
Indirectly
IHS Global Insight, Mnemonic: Baseline: CPI.Q.FMS Optimistic: CPI.Q.FMBA2 Pessimistic: CPI.Q.FMBA1
UNRATECivilian unemployment rate Source: BLS Units: - percent
Yes
IHS Global Insight, Mnemonic: Baseline: RUC.Q.FMS Optimistic: RUC.Q.FMBA2 Pessimistic: RUC.Q.FMBA1
PCEReal Consumer Spending - Total personal consumption expenditures, Source: BEA, Units: Billion 2009 dollars annual rate. Variables are used to calculate
personal consumption expenditure per capita
Indirectly
IHS Global Insight, Mnemonic: Baseline: CONSR.Q.FMS Optimistic: CONSR.Q.FMBA2 Pessimistic: CONSR.Q.FMBA1
POPTotal population, including armed forces overseas Source: Census Units: millions- end of period
Indirectly
IHS Global Insight, Mnemonic: Baseline: NP.Q.FMS Optimistic: NP.Q.FMBA2 Pessimistic: NP.Q.FMBA1
FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 19 of 63Methodology and Data Sources Office of Aviation Policy and Plans
Model Label Description Notes
Model input Source
Log of PCEPC
Personal consumption expenditure per capita. APO-100 transforms data into natural log for model.
Is calculated by APO (PCE / Total population including armed forces overseas)
Yes APO
RAC
Refiners Acquisition Cost. Weighted average price of crude received in refinery inventories Source: DOE Units: dollars per barrel- not seasonally adjusted
Yes
IHS Global Insight, Mnemonic: Baseline: POILRAP.Q.FMS Optimistic: POILRAP.Q.FMBA2 Pessimistic.:
POILRAP.Q.FMBA1
FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 20 of 63Methodology and Data Sources Office of Aviation Policy and Plans
Aviation Variables (all data are converted to fiscal year by APO)
Model Label Description NotesModel input Source
Year Calendar year
Indirectly
Bureau of Transportation Statistics, TranStats, Form T1: U.S. Air Carrier Traffic And Capacity Summary by Service Class 23
Month Month of year
UniqueCarrierName
Unique Carrier Name. When the same name has been used by multiple carriers, a numeric suffix is used for earlier users, for example, Air Caribbean, Air Caribbean (1).
Each carrier is categorized as being either a network, regional, low fare or “other” carrier. All carriers are known “mainline” carriers with the exception of regionals.
UniqueCarrier
Unique Carrier Code. When the same code has been used by multiple carriers, a numeric suffix is used for earlier users, for example, PA, PA(1), PA(2). Use this field for analysis across a range of years.
CarrierRegion
Carrier's operation region. Carriers report data by operation region (Atlantic, Latin, Pacific, System, International, and Domestic)
For the domestic forecasts, Region = Domestic
T320_ASM Available seat miles Summed by airline category Yes
23 “The Air Carrier Statistics database, also known as the T-100 data bank, contains domestic and international airline market and segment data. Certificated U.S. air carriers report monthly air carrier traffic information using Form T-100. The data is collected by the Office of Airline Information, Bureau of Transportation Statistics, Research and Innovative Technology Administration. The tables in this database provide domestic market, domestic segment, international market, international segment, combined table for domestic and international market, combined table for domestic and international segment data by certificated U.S. air carriers. Large certificated carriers hold Certificates of Public Convenience and Necessity issued by the U.S. Department of Transportation authorizing the performance of air transportation with annual operating revenues of $20 million or more.” Data Profile: Air Carrier Statistics (Form 41 Traffic) for U.S. Carriers, BTS website, Info from BTS. FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 21 of 63Methodology and Data Sources Office of Aviation Policy and Plans
Model Label Description NotesModel input Source
T140_RPM Revenue passenger milesT110_RPax Revenue passengers enplanedT410_RMilesFlown Revenue aircraft miles flown
Is used to calculate stage length IndirectlyT510_RDPerformed
Revenue aircraft departures performed
MainPTLComPTL
Mainline carrier passenger trip lengthRegional carrier passenger trip length
Historical data is calculated (RPMs/Passengers); future years is an exogenous variable decided by APO. These data are calculated separately for mainline and regional carriers.
Yes
MainPaxShrMainline carrier’s share of passenger market (versus the regional carriers)
Historical data is calculated; futures years is an exogenous variable decided by APO
Yes
MainStageAverage stage length for mainline carriers
Historical data is calculated (T410_RMilesFlown/ T510_RDPerformed) by APO
Yes
TotalEnplTotal passengers (mainline and regional)
Yes
MainLFComLF
Mainline and regional load factors Is calculated by APO (RPMs/ASMs) Yes
Log of MainYld2Average of mainline passenger yield transformed via natural log
Is calculated by APO [log(passenger revenue24 / mainline RPMs)]
Yes
MainCASM Average mainline cost per available seat mile
Is calculated by APO (mainline operating expenses / mainline ASMs)
Yes
24 Includes the following taxes: FAA ad valorem tax, segment fee and TSA security fee.FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 22 of 63Methodology and Data Sources Office of Aviation Policy and Plans
Model Label Description NotesModel input Source
SvcClassType of service provided (scheduled, non-scheduled, etc.).
F designation was used for the domestic forecasts; that is, scheduled passenger/cargo service, can include freight or mail in the belly
Indirectly
LFOpexNetOpex
Low fare and Network carriers’ operating expenses
Is used to calculate mainline operating expenses
IndirectlyBureau of Transportation Statistics, TranStats, Form 41, Schedule P-1.2: Air Carrier Financial 25
LFPrevNetPrev
Low fare and Network carriers’ passenger revenue
Is used to calculate mainline passenger yield
Indirectly
Post911 Post 9/11 dummy variableApplied fiscal years 2002-2036 by APO
Yes
APOTime Time variable = 1/(year – 1986)
Used to dampen demand in the future as the aviation market reaches maturity
Yes
Data inputs and sources for the Form 41 baseline international forecastInfo from BTS
Economic Variables (all data are converted to fiscal year by APO)
25 “The Form 41 Financial Reports contain financial information on large certificated U.S. air carriers. Financial information includes balance sheet, cash flow, employment, income statement, fuel cost and consumption, aircraft operating expenses, and operating expenses. This data is collected by the Office of Airline Information of the Bureau of Transportation Statistics. [Schedule P-1.2] provides quarterly profit and loss statements for carriers with annual operating revenues of $20 million or more. The data include operating revenues, operating expenses, depreciation and amortization, operating profit, income tax, and net income.” Data Profile: Air Carrier Statistics (Form 41 Traffic) for U.S. Carriers, BTS website, From BTS=.
FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 23 of 63Methodology and Data Sources Office of Aviation Policy and Plans
Model label Description Notes
Model input Source
CPIConsumer price index, all-urban, Source: BLS, Units: - 1982-84=1.00 seasonally adjusted
Index is used to calculate real prices, such as yield
Indirectly
IHS Global Insight, Mnemonic: Baseline: CPI.Q.FMS Optimistic: CPI.Q.FMBA2 Pessimistic: CPI.Q.FMBA1
GDPReal annual GDP history and forecast estimates by country
A ratio of U.S. GDP to region specific GDP was developed for each of the region specific models (Atlantic, Latin and Pacific) by APO.
IndirectlyIHS Global Insight, GDP Components, Interim forecast, monthly, sheet GDPR$A
FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 24 of 63Methodology and Data Sources Office of Aviation Policy and Plans
Aviation Variables (all data are converted to fiscal year by APO)
FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 25 of 63Methodology and Data Sources Office of Aviation Policy and Plans
Model label Description NotesModel input Source
Passengers Mainline carrier passengers
International regional carrier passengers are grouped with the Latin region’s mainline carrier passengers
Indirectly Bureau of Transportation Statistics, TranStats, Form T1: U.S. Air Carrier Traffic And Capacity Summary by Service Class 26
Trip lengthAverage passenger trip length (PTL) in miles by region
Historical data is calculated via RPMs/Passengers by region. PTL is used to estimate regional passenger forecasts (RPMs / PTL) by APO.
Indirectly
Load Factor Average regional load factor
Historical data is calculated via RPMs / ASMs. Forecast load factor is estimated by the APO analyst based on knowledge of the aviation industry. Forecast load factor is used to forecast ASMs.
Indirectly APO
SARSSevere acute respiratory syndrome (SARS) dummy variable used in the Pacific region model
Applied fiscal year 2003 by APO Yes APO
26 “The Air Carrier Statistics database, also known as the T-100 data bank, contains domestic and international airline market and segment data. Certificated U.S. air carriers report monthly air carrier traffic information using Form T-100. The data is collected by the Office of Airline Information, Bureau of Transportation Statistics, Research and Innovative Technology Administration. The tables in this database provide domestic market, domestic segment, international market, international segment, combined table for domestic and international market, combined table for domestic and international segment data by certificated U.S. air carriers. Large certificated carriers hold Certificates of Public Convenience and Necessity issued by the U.S. Department of Transportation authorizing the performance of air transportation with annual operating revenues of $20 million or more.” Data Profile: Air Carrier Statistics (Form 41 Traffic) for U.S. Carriers, BTS website, From BTS. FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 26 of 63Methodology and Data Sources Office of Aviation Policy and Plans
APPENDIX C: Model outputs
Baseline Domestic Model Output
FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 27 of 63Methodology and Data Sources Office of Aviation Policy and Plans
Log (RPMs) = f(log PCEPPC, unemployment rate, log real yield, post911)
The SYSLIN ProcedureTwo-Stage Least Squares Estimation
Model MAINLINERPMDependent Variable lmainrpm
Label Log(Mainline RPMs)
Source DF Sum of Squares Mean Square F Value Pr > FModel 4 0.898262 0.224566 486 <.0001Error 24 0.01109 0.000462
Corrected Total 28 0.910331
Root MSE 0.0215 R-Square 0.9878Dependent Mean 12.98399 Adj R-Sq 0.98577
Coeff Var 0.16556
Parameter VariableEstimate Label
Intercept 1 -0.32901 1.183325 -0.28 0.7834 Interceptlpcepc 1 1.271901 0.132989 9.56 <.0001 Log(PCE per capita)
UNRATE 1 -0.01272 0.003505 -3.63 0.0013 Unemployment Ratelrmainyld2 1 -0.26701 0.135744 -1.97 0.0608 Log(Mainline Loaded Real Yield)POST911 1 -0.17338 0.023907 -7.25 <.0001 Post 9/11 dummy
Analysis of Variance
Parameter EstimatesVariable DF Standard Error t Value Pr > |t|
FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 28 of 63Methodology and Data Sources Office of Aviation Policy and Plans
Log (RPMs) = f(log PCEPPC, unemployment rate, log real yield, post911)
The SYSLIN ProcedureTwo-Stage Least Squares Estimation
Model MAINLINESTAGEDependent Variable lmainstage
Source DF Sum of Squares Mean Square F Value Pr > FModel 2 0.672492 0.336246 640.86 <.0001Error 26 0.013642 0.000525
Corrected Total 28 0.686133
Root MSE 0.02291 R-Square 0.98012Dependent Mean 6.65136 Adj R-Sq 0.97859
Coeff Var 0.34438
Parameter VariableEstimate Label
Intercept 1 -5.4748 0.485824 -11.27 <.0001 Interceptlrealrac 1 -0.05205 0.014491 -3.59 0.0013 log(Refiners Real Cost)lmainptl 1 1.808152 0.077776 23.25 <.0001 Log(Mailine Pax Trip Length)
Analysis of Variance
Parameter EstimatesVariable DF Standard Error t Value Pr > |t|
FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 29 of 63Methodology and Data Sources Office of Aviation Policy and Plans
Log (RPMs) = f(log PCEPPC, unemployment rate, log real yield, post911)
The SYSLIN ProcedureTwo-Stage Least Squares Estimation
Model MAINUNITCOSTDependent Variable lrmaincasm
Label Log(Mainline Real CASM)
Source DF Sum of Squares Mean Square F Value Pr > FModel 2 0.108143 0.054072 87.51 <.0001Error 26 0.016065 0.000618
Corrected Total 28 0.125803
Root MSE 0.02486 R-Square 0.87066Dependent Mean -1.87128 Adj R-Sq 0.86071
Coeff Var -1.32836
Parameter VariableEstimate Label
Intercept 1 0.240264 0.267549 0.9 0.3774 Interceptlmainstage 1 -0.42039 0.045781 -9.18 <.0001 Log(Mainline Stage)
lrealrac 1 0.179835 0.013645 13.18 <.0001 log(Refiners Real Cost)
Analysis of Variance
Parameter EstimatesVariable DF Standard Error t Value Pr > |t|
FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 30 of 63Methodology and Data Sources Office of Aviation Policy and Plans
Log (RPMs) = f(log PCEPPC, unemployment rate, log real yield, post911)
The SYSLIN ProcedureTwo-Stage Least Squares Estimation
Model COMMUTERLFDependent Variable lcomlf
Label Log(Commuter Load Factor)
Source DF Sum of Squares Mean Square F Value Pr > FModel 3 1.137124 0.379041 798.32 <.0001Error 25 0.01187 0.000475
Corrected Total 28 1.148994
Root MSE 0.02179 R-Square 0.98967Dependent Mean 4.12789 Adj R-Sq 0.98843
Coeff Var 0.52787
Parameter VariableEstimate Label
Intercept 1 0.628214 0.209987 2.99 0.0062 Intercepttime3 1 -0.11312 0.055518 -2.04 0.0523 Inverse of Time
POST911 1 0.045034 0.018577 2.42 0.0229 Post 9/11 dummylglcomlf 1 0.848856 0.052358 16.21 <.0001 Lag-log of Commuter Load
Factor
Analysis of Variance
Parameter EstimatesVariable DF Standard Error t Value Pr > |t|
FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 31 of 63Methodology and Data Sources Office of Aviation Policy and Plans
Log (RPMs) = f(log PCEPPC, unemployment rate, log real yield, post911)
The SYSLIN ProcedureTwo-Stage Least Squares Estimation
Model MAINLINELFDependent Variable lmainlf
Label Log(Mainline Load Factor)
Source DF Sum of Squares Mean Square F Value Pr > FModel 3 0.396461 0.132154 531.89 <.0001Error 25 0.006211 0.000248
Corrected Total 28 0.402672
Root MSE 0.01576 R-Square 0.98457Dependent Mean 4.28612 Adj R-Sq 0.98272
Coeff Var 0.36776
Parameter VariableEstimate Label
Intercept 1 0.598888 0.224742 2.66 0.0133 Intercepttime3 1 -0.09738 0.040144 -2.43 0.0228 Inverse of Time
POST911 1 0.020032 0.011003 1.82 0.0806 Post 9/11 dummylglmainlf 1 0.862436 0.05309 16.24 <.0001 Lag-log of Mainline Load Factor
Analysis of Variance
Parameter EstimatesVariable DF Standard Error t Value Pr > |t|
FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 32 of 63Methodology and Data Sources Office of Aviation Policy and Plans
The SYSLIN ProcedureThree-Stage Least Squares Estimation
MAINLINERP MAINLINEYL MAINLINEST MAINUNITCO COMMUTERLF MAINLINELFMAINLINERP 0.000462 0.000255 0.000157 -0.000186 0.000132 0.000106MAINLINEYL 0.000255 0.002083 -0.000042 0.000126 0.000117 -0.000053MAINLINEST 0.000157 -0.000042 0.000525 -0.000162 0.000038 0.000047MAINUNITCO -0.000186 0.000126 -0.000162 0.000618 -0.00004 -0.000113
COMMUTERLF 0.000132 0.000117 0.000038 -0.00004 0.000475 0.000221MAINLINELF 0.000106 -0.000053 0.000047 -0.000113 0.000221 0.000248
MAINLINERP MAINLINEYL MAINLINEST MAINUNITCO COMMUTERLF MAINLINELFMAINLINERP 1 0.26027 0.3194 -0.34822 0.281 0.31412MAINLINEYL 0.26027 1 -0.0404 0.11074 0.11801 -0.07428MAINLINEST 0.3194 -0.0404 1 -0.28377 0.07546 0.13025MAINUNITCO -0.34822 0.11074 -0.28377 1 -0.07419 -0.288
COMMUTERLF 0.281 0.11801 0.07546 -0.07419 1 0.64423MAINLINELF 0.31412 -0.07428 0.13025 -0.288 0.64423 1
MAINLINERP MAINLINEYL MAINLINEST MAINUNITCO COMMUTERLF MAINLINELFMAINLINERP 1.47559 -0.44054 -0.33646 0.38574 -0.15174 -0.24356MAINLINEYL -0.44054 1.19135 0.11497 -0.17955 -0.24275 0.31658MAINLINEST -0.33646 0.11497 1.1685 0.20925 -0.01031 0.02894MAINUNITCO 0.38574 -0.17955 0.20925 1.30239 -0.24582 0.37169
COMMUTERLF -0.15174 -0.24275 -0.01031 -0.24582 1.84537 -1.22867MAINLINELF -0.24356 0.31658 0.02894 0.37169 -1.22867 1.99484
MAINLINERP MAINLINEYL MAINLINEST MAINUNITCO COMMUTERLF MAINLINELFMAINLINERP 3193.42 -449.091 -683.34 721.92 -323.96 -718.82MAINLINEYL -449.09 572.067 109.98 -158.28 -244.12 440.11MAINLINEST -683.34 109.985 2227.09 367.51 -20.66 80.14MAINUNITCO 721.92 -158.284 367.51 2107.83 -453.85 948.64
COMMUTERLF -323.96 -244.121 -20.66 -453.85 3886.62 -3577.25MAINLINELF -718.82 440.109 80.14 948.64 -3577.25 8028.84
System Weighted MSE 1.0257Degrees of freedom 152
System Weighted R-Square 0.9754
Cross Model Covariance
Cross Model Correlation
Cross Model Inverse Correlation
Cross Model Inverse Covariance
FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 33 of 63Methodology and Data Sources Office of Aviation Policy and Plans
Model MAINLINERPDependent Variable lmainrpm
Label Log(Mainline RPMs)
Parameter VariableEstimate Label
Intercept 1 0.466364 1.006635 0.46 0.6473 Interceptlpcepc 1 1.19298 0.112947 10.56 <.0001 Log(PCE per capita)
UNRATE 1 -0.01149 0.002999 -3.83 0.0008 Unemployment Ratelrmainyld2 1 -0.26285 0.115661 -2.27 0.0323 Log(Mainline Loaded Real Yield)POST911 1 -0.14762 0.020635 -7.15 <.0001 Post 9/11 dummy
Durbin-Watson 0.851783Number of Observations 29
First-Order Autocorrelation 0.536226
Parameter EstimatesVariable DF Standard Error t Value Pr > |t|
Model MAINLINEYLDependent Variable lrmainyld2
Label Log(Mainline Loaded Real Yield)
Parameter VariableEstimate Label
Intercept 1 12.98671 0.71077 18.27 <.0001 Interceptlmainptl 1 -1.99649 0.090156 -22.14 <.0001 Log(Mailine Pax Trip Length)
lrmaincasm 1 0.539569 0.134514 4.01 0.0005 Log(Mainline Real CASM)
Durbin-Watson 0.693547Number of Observations 29
First-Order Autocorrelation 0.564376
Parameter EstimatesVariable DF Standard Error t Value Pr > |t|
FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 34 of 63Methodology and Data Sources Office of Aviation Policy and Plans
Model MAINLINESTDependent Variable lmainstage
Parameter VariableEstimate Label
Intercept 1 -5.3349 0.474337 -11.25 <.0001 Interceptlrealrac 1 -0.04705 0.013884 -3.39 0.0022 log(Refiners Real Cost)lmainptl 1 1.784831 0.075735 23.57 <.0001 Log(Mailine Pax Trip Length)
Durbin-Watson 0.607206Number of Observations 29
First-Order Autocorrelation 0.615985
Parameter EstimatesVariable DF Standard Error t Value Pr > |t|
Model MAINUNITCODependent Variable lrmaincasm
Label Log(Mainline Real CASM)
Parameter VariableEstimate Label
Intercept 1 0.135043 0.258151 0.52 0.6053 Interceptlmainstage 1 -0.40202 0.043744 -9.19 <.0001 Log(Mainline Stage)
lrealrac 1 0.175383 0.012621 13.9 <.0001 log(Refiners Real Cost)
Durbin-Watson 1.693041Number of Observations 29
First-Order Autocorrelation 0.152279
Parameter EstimatesVariable DF Standard Error t Value Pr > |t|
FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 35 of 63Methodology and Data Sources Office of Aviation Policy and Plans
Model COMMUTERLFDependent Variable lcomlf
Label Log(Commuter Load Factor)
Parameter VariableEstimate Label
Intercept 1 0.713747 0.199917 3.57 0.0015 Intercepttime3 1 -0.09851 0.053694 -1.83 0.0785 Inverse of Time
POST911 1 0.055976 0.017945 3.12 0.0045 Post 9/11 dummylglcomlf 1 0.826296 0.049872 16.57 <.0001 Lag-log of Commuter Load
Factor
Durbin-Watson 1.786432Number of Observations 29
First-Order Autocorrelation 0.100357
Parameter EstimatesVariable DF Standard Error t Value Pr > |t|
Model MAINLINELFDependent Variable lmainlf
Label Log(Mainline Load Factor)
Parameter VariableEstimate Label
Intercept 1 0.615186 0.207218 2.97 0.0065 Intercepttime3 1 -0.07206 0.03771 -1.91 0.0675 Inverse of Time
POST911 1 0.024222 0.010352 2.34 0.0276 Post 9/11 dummylglmainlf 1 0.857506 0.048962 17.51 <.0001 Lag-log of Mainline Load Factor
Durbin-Watson 2.314348Number of Observations 29
First-Order Autocorrelation -0.1601
Parameter EstimatesVariable DF Standard Error t Value Pr > |t|
FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 36 of 63Methodology and Data Sources Office of Aviation Policy and Plans
The SIMLIN Procedure
Variable lmainrpm lrmainyld2 lmainstage lrmaincasm lcomlf lmainlflmainrpm 1 -0.2628 0.057 -0.1418 0 0lrmainyld2 0 1 -0.2169 0.5396 0 0
lcomlf 0 0 0 0 1 0lmainlf 0 0 0 0 0 1
lrmaincasm 0 0 -0.402 1 0 0lmainstage 0 0 1 0 0 0
Variable lglmainlf lglcomlflmainrpm 0 0lrmainyld2 0 0
lcomlf 0 0.8263lmainlf 0.8575 0
lrmaincasm 0 0lmainstage 0 0
Variable lpcepc UNRATE POST911 lmainptl lrealrac time3 MAINPAXSHR
Intercept
lmainrpm 1.193 -0.0115 -0.1476 0.6265 -0.0276 0 0 -3.2705lrmainyld2 0 0 0 -2.3837 0.1048 0 0 14.2168
lcomlf 0 0 0.056 0 0 -0.0985 0 0.7137lmainlf 0 0 0.0242 0 0 -0.0721 0 0.6152
lrmaincasm 0 0 0 -0.7175 0.1943 0 0 2.2798lmainstage 0 0 0 1.7848 -0.047 0 0 -5.3349
Inverse Coefficient Matrix for Endogenous Variables
Reduced Form for LaggedEndogenous Variables
Reduced Form for Exogenous Variables
The SIMLIN Procedure
Mean Pct Mean Abs RMS RMS PctError Pct Error Error Error
lmainrpm 29 -7.23E-15 -0.00058 0.0158 0.12253 0.0221 0.1714 Log(Mainline RPMs)lrmainyld2 29 8.96E-16 -0.0829 0.0379 2.31347 0.0468 2.7903 Log(Mainline Loaded Real Yield)
lcomlf 29 0.000392 -0.00667 0.0269 0.66329 0.0333 0.8278 Log(Commuter Load Factor)lmainlf 29 -0.000579 -0.0187 0.0141 0.33319 0.0182 0.4331 Log(Mainline Load Factor)
lrmaincasm 29 -8.81E-16 -0.024 0.0215 1.14361 0.0276 1.4582 Log(Mainline Real CASM)lmainstage 29 -3.28E-15 -0.001238 0.0185 0.28057 0.0217 0.3319 Log(Mainline Stage)
Fit StatisticsVariable N Mean Error Mean Abs Error Label
FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 37 of 63Methodology and Data Sources Office of Aviation Policy and Plans
Baseline International (Form 41) Model Output
Pacific RegionThe REG ProcedureModel: MODEL1Dependent Variable: RPMs RPMs
Number of Observations Read
41
Number of Observations Used
17
Number of Observations with
Missing Values
24
Sum of MeanSquares Square
Model 4 814767089 203691772 52.8 <.0001Error 12 46292321 3857693
Corrected Total 16 861059410
Root MSE 1964.10117 R-Square 0.9462Dependent Mean 60779 Adj R-Sq 0.9283
Coeff Var 3.23153
Parameter StandardEstimate Error
Intercept Intercept 1 25537 3216.633 7.94 <.0001TotalPacAsiaGDP TotalPacAsi
aGDP1 1.33481 0.11605 11.5 <.0001
SARS SARS 1 -7205.4685 2220.469 -3.25 0.007GFC2 GFC2 1 -3363.75852 1287.947 -2.61 0.0227
Post911 Post911 1 -7977.72872 1847.429 -4.32 0.001
The REG ProcedureModel: MODEL1Dependent Variable: RPMs RPMs
Durbin-Watson D 1.859Number of
Observations17
1st Order Autocorrelation
0.067
Parameter EstimatesVariable Label DF t Value Pr > |t|
Analysis of VarianceSource DF F Value Pr > F
FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 38 of 63Methodology and Data Sources Office of Aviation Policy and Plans
Atlantic RegionThe AUTOREG Procedure
Dependent Variable RPMsRPMs
SSE 691974007 DFE 23MSE 30085826 Root MSE 5485SBC 550.405025 AIC 545.221677MAE 3695.73353 AICC 547.039859
MAPE 4.04976102 HQC 546.762958Total R-Square 0.9373
Order DW1 0.56932 1.134
Standard ApproxError Pr > |t|
Intercept 1 -36580 12117 -3.02 0.0061US25For75 1 1446 163.5678 8.84 <.0001 US25For75
Tension 1 -10267 4372 -2.35 0.0278 TensionPost911 1 -6596 4814 -1.37 0.1839 Post911
Lag Covariance Correlation -1 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 9
1 0 25628667 1 | |********************|1 15983282 0.623649 | |************ |
Preliminary MSE 15660715
StandardError
1 -0.623649 0.16666 -3.74
SSE 321976919 DFE 22MSE 14635315 Root MSE 3826SBC 533.536567 AIC 527.057383MAE 2619.12544 AICC 529.914526
MAPE 2.99926709 HQC 528.983984Transformed
Regression R-Square
0.8658
Total R-Square 0.9708
Order DW1 0.96132 1.4346
Standard ApproxError Pr > |t|
Intercept 1 -40236 12250 -3.28 0.0034US25For75 1 1506 155.8488 9.66 <.0001 US25For75
Tension 1 -6940 2310 -3 0.0065 TensionPost911 1 -10995 4147 -2.65 0.0146 Post911
Yule-Walker Estimates
Durbin-Watson Statistics
Parameter EstimatesVariable DF Estimate t Value Variable Label
Estimates of Autocorrelations
Estimates of Autoregressive ParametersLag Coefficient t Value
Ordinary Least Squares Estimates
Durbin-Watson Statistics
Parameter EstimatesVariable DF Estimate t Value Variable Label
FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 39 of 63Methodology and Data Sources Office of Aviation Policy and Plans
Latin RegionThe AUTOREG Procedure
Dependent Variable RPMsRPMs
SSE 45228065.5 DFE 14MSE 3230576 Root MSE 1797SBC 308.241806 AIC 305.742166MAE 1151.08522 AICC 307.588319
MAPE 1.879523 HQC 305.990635Total R-Square 0.9902
Order DW1 0.77962 1.4523
Standard ApproxError Pr > |t|
Intercept 1 -88948 3965 -22.43 <.0001LatinGDPIx50 1 1577 47.3669 33.28 <.0001 LatinGDPIx50
Post911 1 -6188 1620 -3.82 0.0019 Post911
Lag Covariance Correlation -1 9 8 7 6 5 4 3 2 1 0 1
2 3 4 5 6 7 8 9 1 0 2660474 1 | |**********
**********|1 979819 0.368287 | |*******
|
Preliminary MSE 2299619
StandardError
1 -0.368287 0.257856 -1.43
SSE 35507427.3 DFE 13MSE 2731341 Root MSE 1653SBC 307.107189 AIC 303.774336MAE 1118.23468 AICC 307.107669
MAPE 1.88998277 HQC 304.105628Transformed
Regression R-Square
0.984
Total R-Square 0.9923
Order DW1 0.95742 1.4177
Standard ApproxError Pr > |t|
Intercept 1 -89637 5289 -16.95 <.0001LatinGDPIx50 1 1580 60.7988 26 <.0001 LatinGDPIx50
Post911 1 -5649 1704 -3.32 0.0056 Post911
Durbin-Watson Statistics
Parameter EstimatesVariable DF Estimate t Value Variable Label
Ordinary Least Squares Estimates
Durbin-Watson Statistics
Parameter EstimatesVariable DF Estimate t Value Variable Label
Yule-Walker Estimates
Estimates of Autoregressive Parameters
Estimates of Autocorrelations
Lag Coefficient t Value
FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 40 of 63Methodology and Data Sources Office of Aviation Policy and Plans
Baseline International (Customs and Border Protection) Model OutputFranceThe REG ProcedureModel: MODEL1Dependent Variable: PaxFrance PaxFrance
Number of Observations Read
53
Number of Observations Used
27
Number of Observations with
Missing Values
26
Sum of MeanSquares Square
Model 3 3.51E+13 1.17E+13 340.98 <.0001Error 23 7.88E+11 34268801046
Corrected Total 26 3.58E+13
Root MSE 185118 R-Square 0.978Dependent Mean 5370533 Adj R-Sq 0.9751
Coeff Var 3.44693
Parameter Standard
Estimate ErrorIntercept Intercept 1 -1377779 677054 -2.03 0.0535
gdp5 1 100625 5717.34 17.6 <.0001Post911 Post911 1 -857546 153618 -5.58 <.0001
Yield Yield 1 -124471 28268 -4.4 0.0002
Analysis of VarianceSource DF F Value Pr > F
Parameter EstimatesVariable Label DF t Value Pr > |t|
FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 41 of 63Methodology and Data Sources Office of Aviation Policy and Plans
Germany The REG ProcedureModel: MODEL1Dependent Variable: lnPaxGermany
Number of Observations Read
51
Number of Observations Used
27
Number of Observations with
Missing Values
24
Sum of MeanSquares Square
Model 3 1.6572 0.5524 404.49 <.0001Error 23 0.03141 0.00137
Corrected Total 26 1.68861
Root MSE 0.03695 R-Square 0.9814Dependent Mean 15.8437 Adj R-Sq 0.979
Coeff Var 0.23325
Parameter StandardEstimate Error
Intercept Intercept 1 6.8745 0.43822 15.69 <.0001lgdp5 1 1.99658 0.10002 19.96 <.0001lexch 1 -0.39131 0.0645 -6.07 <.0001
Post911 Post911 1 -0.1382 0.03144 -4.4 0.0002
Analysis of VarianceSource DF F Value Pr > F
Parameter EstimatesVariable Label DF t Value Pr > |t|
FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 42 of 63Methodology and Data Sources Office of Aviation Policy and Plans
IrelandThe REG ProcedureModel: MODEL1Dependent Variable: lnPaxIreland
Number of Observations Read
51
Number of Observations Used
27
Number of Observations with
Missing Values
24
Sum of MeanSquares Square
Model 5 3.92622 0.78524 82.54 <.0001Error 21 0.19979 0.00951
Corrected Total 26 4.12601
Root MSE 0.09754 R-Square 0.9516Dependent Mean 14.28816 Adj R-Sq 0.94
Coeff Var 0.68265
Parameter StandardEstimate Error
Intercept Intercept 1 11.07946 0.57301 19.34 <.0001lgdp6 1 0.93331 0.10451 8.93 <.0001lexch 1 -0.70205 0.23612 -2.97 0.0073
Post911 Post911 1 -0.23031 0.09919 -2.32 0.0304Yield Yield 1 -0.05789 0.01834 -3.16 0.0048
TravelTax TravelTax 1 -0.17231 0.05736 -3 0.0068
Analysis of VarianceSource DF F Value Pr > F
Parameter EstimatesVariable Label DF t Value Pr > |t|
FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 43 of 63Methodology and Data Sources Office of Aviation Policy and Plans
ItalyThe AUTOREG Procedure
Dependent Variable PaxItalyPaxItaly
SSE 3.92E+11 DFE 21MSE 1.87E+10 Root MSE 136694SBC 728.189148 AIC 720.414127MAE 100492.301 AICC 724.614127
MAPE 4.13081381 HQC 722.726048Total R-Square 0.9441
Order DW1 0.71682 1.4168
Standard ApproxError Pr > |t|
Intercept 1 -1733265 386377 -4.49 0.0002gdp7 1 48610 5006 9.71 <.0001
PanAm 1 -135220 150625 -0.9 0.3795 PanAmMillenium 1 310553 155302 2 0.0586 MilleniumPost911 1 -408483 133307 -3.06 0.0059 Post911IraqWar 1 -413986 147339 -2.81 0.0105 IraqWar
Lag Covariance Correlation -1 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 9 1
0 1.45E+10 1 | |********************|1 8.27E+09 0.568847 | |*********** |
Preliminary MSE 9.83E+09
StandardError
1 -0.568847 0.183904 -3.09
SSE 1.92E+11 DFE 20MSE 9579857985 Root MSE 97877SBC 712.520738 AIC 703.44988MAE 68436.9018 AICC 709.344617
MAPE 2.81080663 HQC 706.147122Transformed
Regression R-Square
0.9231
Total R-Square 0.9727
Order DW1 0.87772 1.6758
Standard ApproxError Pr > |t|
Intercept 1 -1877248 353665 -5.31 <.0001gdp7 1 50474 4370 11.55 <.0001
PanAm 1 -178715 86106 -2.08 0.0511 PanAmMillenium 1 436072 86030 5.07 <.0001 MilleniumPost911 1 -447007 105728 -4.23 0.0004 Post911IraqWar 1 -266233 85546 -3.11 0.0055 IraqWar
Yule-Walker Estimates
Durbin-Watson Statistics
Parameter EstimatesVariable DF Estimate t Value Variable Label
Ordinary Least Squares Estimates
Durbin-Watson Statistics
Parameter EstimatesVariable DF Estimate t Value Variable Label
Estimates of Autocorrelations
Estimates of Autoregressive ParametersLag Coefficient t Value
FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 44 of 63Methodology and Data Sources Office of Aviation Policy and Plans
NetherlandsThe AUTOREG Procedure
Dependent Variable PaxNetherlandsPaxNetherlands
SSE 2.47E+12 DFE 23MSE 1.07E+11 Root MSE 327862SBC 771.295561 AIC 766.112214MAE 252788.026 AICC 767.930395
MAPE 7.85122523 HQC 767.653494Total R-Square 0.895
Order DW1 0.6732 1.2868
Standard ApproxError Pr > |t|
Intercept 1 -3836323 689801 -5.56 <.0001gdp5 1 96451 9505 10.15 <.0001
11-Sep 1 -643800 374515 -1.72 0.099 11-SepPost911 1 -1418472 293755 -4.83 <.0001 Post911
Lag Covariance Correlation -1 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 9 1
0 9.16E+10 1 | |********************|1 5.38E+10 0.587589 | |************ |
Preliminary MSE 6.00E+10
StandardError
1 -0.587589 0.172513 -3.41
SSE 1.36E+12 DFE 22MSE 6.17E+10 Root MSE 248469SBC 758.841966 AIC 752.362782MAE 178265.114 AICC 755.219925
MAPE 5.33672468 HQC 754.289383Transformed
Regression R-Square
0.8078
Total R-Square 0.9423
Order DW1 1.38092 1.949
Standard ApproxError Pr > |t|
Intercept 1 -3444748 835901 -4.12 0.0004gdp5 1 89703 11113 8.07 <.0001
11-Sep 1 -726573 276272 -2.63 0.0153 11-SepPost911 1 -1122469 337467 -3.33 0.0031 Post911
Yule-Walker Estimates
Durbin-Watson Statistics
Parameter EstimatesVariable DF Estimate t Value Variable Label
Estimates of Autocorrelations
Estimates of Autoregressive ParametersLag
Ordinary Least Squares Estimates
Durbin-Watson Statistics
Parameter EstimatesVariable DF Estimate t Value Variable Label
Coefficient t Value
FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 45 of 63Methodology and Data Sources Office of Aviation Policy and Plans
SpainThe AUTOREG Procedure
Dependent Variable PaxSpainPaxSpain
SSE 4.72E+12 DFE 25MSE 1.89E+11 Root MSE 434664SBC 782.1821 AIC 779.590465MAE 334993.7 AICC 780.090465
MAPE 16.87461 HQC 780.361106Total R-Square
0.666
Order DW1 0.16432 0.4409
Standard ApproxError Pr > |t|
Intercept 1 -1441317 477561 -3.02 0.0058gdp1 1 39136 5543 7.06 <.0001
Lag Covariance
Correlation -1 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 9 1
0 1.75E+11 1 | |********************|
1 1.48E+11 0.84777 | |***************** |
Preliminary MSE 4.92E+10
StandardError
1 -0.84777 0.10826 -7.83
SSE 8.36E+11 DFE 24MSE 3.48E+10 Root MSE 186619SBC 739.987 AIC 736.099501MAE 138447 AICC 737.14298
MAPE 7.583773 HQC 737.255462Transformed Regression R-Square
0.4207
Total R-Square
0.9409
Order DW1 0.99132 1.3006
Standard ApproxError Pr > |t|
Intercept 1 -1296932 810993 -1.6 0.1229gdp1 1 39070 9359 4.17 0.0003
Yule-Walker Estimates
Durbin-Watson Statistics
Parameter EstimatesVariable DF Estimate t Value
Estimates of Autocorrelations
Estimates of Autoregressive ParametersLag Coefficie
ntt Value
Ordinary Least Squares Estimates
Durbin-Watson Statistics
Parameter EstimatesVariable DF Estimate t Value
FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 46 of 63Methodology and Data Sources Office of Aviation Policy and Plans
United KingdomThe REG ProcedureModel: MODEL1Dependent Variable: PaxUK PaxUK
Number of Observations Read 51Number of Observations Used 27Number of Observations with
Missing Values24
Sum of MeanSquares Square
Model 3 1.73E+14 5.77E+13 71.25 <.0001Error 23 1.86E+13 8.10E+11
Corrected Total 26 1.92E+14
Root MSE 900198 R-Square 0.9028Dependent Mean 15634385 Adj R-Sq 0.8902
Coeff Var 5.75781
Parameter StandardEstimate Error
Intercept Intercept 1 -6756266 1857003 -3.64 0.0014gdp9 1 285735 25522 11.2 <.0001
Post911 Post911 1 -3539837 730143 -4.85 <.0001GFC GFC 1 -2252933 538051 -4.19 0.0004
Label DF t Value Pr > |t|
Analysis of VarianceSource DF F Value Pr > F
Parameter EstimatesVariable
FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 47 of 63Methodology and Data Sources Office of Aviation Policy and Plans
Other European CountriesThe AUTOREG Procedure
Dependent Variable PaxOtherEuropePaxOtherEurope
SSE 4.72E+13 DFE 18MSE 2.62E+12 Root MSE 1618840SBC 699.460396 AIC 695.096227MAE 1088471.52 AICC 697.449168
MAPE 10.6053476 HQC 696.124294Total R-Square 0.8939
Order DW1 0.5552 1.4459
Standard ApproxError Pr > |t|
Intercept 1 -20335649 2725702 -7.46 <.0001gdp3 1 424924 38967 10.9 <.0001
Post911 1 -8485590 1402495 -6.05 <.0001 Post91111-Sep 1 -3558566 1775471 -2 0.0603 11-Sep
Lag Covariance Correlation -1 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5
6 7 8 9 1 0 2.14E+12 1 | |**
******************|
1 1.29E+12 0.599347 | |************ |
Preliminary MSE 1.37E+12
StandardError
1 -0.599347 0.194147 -3.09
SSE 2.29E+13 DFE 17MSE 1.34E+12 Root MSE 1159430SBC 687.052632 AIC 681.59742MAE 805099.94 AICC 685.34742
MAPE 7.69865646 HQC 682.882504Transformed
Regression R-Square
0.8147
Total R-Square 0.9486
Order DW1 0.6282 1.3019
Standard ApproxError Pr > |t|
Intercept 1 -17576840 3474779 -5.06 <.0001gdp3 1 379157 46718 8.12 <.0001
Post911 1 -6207535 1593633 -3.9 0.0012 Post91111-Sep 1 -2847873 1259370 -2.26 0.0371 11-Sep
Estimates of Autocorrelations
Estimates of Autoregressive Parameters
Parameter Estimates
Ordinary Least Squares Estimates
Durbin-Watson Statistics
Parameter EstimatesVariable DF Estimate t Value Variable Label
Lag Coefficient t Value
Yule-Walker Estimates
Durbin-Watson Statistics
Variable DF Estimate t Value Variable Label
FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 48 of 63Methodology and Data Sources Office of Aviation Policy and Plans
BahamasThe AUTOREG Procedure
Dependent Variable PaxBahamasPaxBahamas
SSE 5.49E+11 DFE 23MSE 2.39E+10 Root MSE 154523SBC 730.674007 AIC 725.490659MAE 104874.811 AICC 727.308841
MAPE 4.09252408 HQC 727.03194Total R-Square 0.2818
Order DW1 0.92472 1.4538
Standard ApproxError Pr > |t|
Intercept 1 3352148 358786 9.34 <.0001YldRlBaha2 1 -31860 13267 -2.4 0.0248 YldRlBaha2
Post911 1 -167572 128862 -1.3 0.2063 Post91111-Sep 1 -177214 172267 -1.03 0.3143 11-Sep
Lag Covariance Correlation -1 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 9 1
0 2.03E+10 1 | |********************|
1 7.91E+09 0.388809 | |******** |
Preliminary MSE 1.73E+10
StandardError
1 -0.388809 0.196426 -1.98
SSE 4.27E+11 DFE 22MSE 1.94E+10 Root MSE 139267SBC 727.320342 AIC 720.841158MAE 96299.331 AICC 723.698301
MAPE 3.77747988 HQC 722.767759Transformed
Regression R-Square
0.2971
Total R-Square 0.4419
Order DW1 1.50012 1.4382
Standard ApproxError Pr > |t|
Intercept 1 3629999 380595 9.54 <.0001YldRlBaha2 1 -41570 14228 -2.92 0.0079 YldRlBaha2
Post911 1 -264655 141706 -1.87 0.0752 Post91111-Sep 1 -172825 148108 -1.17 0.2558 11-Sep
Parameter EstimatesVariable DF Estimate t Value Variable Label
Lag Coefficient t Value
Yule-Walker Estimates
Durbin-Watson Statistics
Estimates of Autoregressive Parameters
Estimates of Autocorrelations
Ordinary Least Squares Estimates
Durbin-Watson Statistics
Parameter EstimatesVariable DF Estimate t Value Variable Label
FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 49 of 63Methodology and Data Sources Office of Aviation Policy and Plans
BrazilThe AUTOREG Procedure
Dependent Variable PaxBrazilPaxBrazil
SSE 3.03E+12 DFE 18MSE 1.69E+11 Root MSE 410589SBC 639.098054 AIC 634.733884MAE 310870.172 AICC 637.086825
MAPE 11.2943113 HQC 635.761951Total R-Square 0.8841
Order DW1 0.68632 1.4986
Standard ApproxError Pr > |t|
Intercept 1 -5196987 736289 -7.06 <.0001gdp4 1 108963 10224 10.66 <.0001
11-Sep 1 -984073 448551 -2.19 0.0416 11-SepPost911 1 -1965223 331813 -5.92 <.0001 Post911
Lag Covariance Correlation -1 9 8 7 6 5 4 3 2 1 0 1 2
3 4 5 6 7 8 9 1 0 1.38E+11 1 | |***********
*********|1 8.86E+10 0.642123 | |***********
** |
Preliminary MSE 8.11E+10
StandardError
1 -0.642123 0.185928 -3.45
SSE 1.48E+12 DFE 17MSE 8.72E+10 Root MSE 295367SBC 626.970739 AIC 621.515527MAE 221622.57 AICC 625.265527
MAPE 7.81293265 HQC 622.800611Transformed
Regression R-Square
0.7367
Total R-Square 0.9433
Order DW1 1.04762 1.512
Standard ApproxError Pr > |t|
Intercept 1 -4003410 1043696 -3.84 0.0013gdp4 1 90330 13653 6.62 <.0001
11-Sep 1 -624233 316627 -1.97 0.0652 11-SepPost911 1 -1275257 404579 -3.15 0.0058 Post911
Estimates of Autoregressive ParametersLag Coefficient t Value
Yule-Walker Estimates
Durbin-Watson Statistics
Parameter EstimatesVariable DF Estimate t Value Variable Label
Estimates of Autocorrelations
Ordinary Least Squares Estimates
Durbin-Watson Statistics
Parameter EstimatesVariable DF Estimate t Value Variable Label
FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 50 of 63Methodology and Data Sources Office of Aviation Policy and Plans
Dominican RepublicThe AUTOREG Procedure
Dependent Variable lnPaxDomRep
SSE 0.24553603 DFE 25MSE 0.00982 Root MSE 0.0991SBC -43.689654 AIC -46.281328MAE 0.08103574 AICC -45.781328
MAPE 0.53914218 HQC -45.510687Total R-Square 0.9464
Order DW1 0.32872 0.7116
Standard ApproxError Pr > |t|
Intercept 1 8.903 0.2891 30.79 <.0001lgdp5 1 1.3916 0.0663 21 <.0001
Lag Covariance Correlation -1 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5
6 7 8 9 1 0 0.00909 1 | |**
******************|
1 0.00689 0.75757 | |*************** |
Preliminary MSE 0.00387
StandardError
1 -0.75757 0.133243 -5.69
SSE 0.08118447 DFE 24MSE 0.00338 Root MSE 0.05816SBC -69.422138 AIC -73.309648MAE 0.04482393 AICC -72.26617
MAPE 0.30026649 HQC -72.153688Transformed
Regression R-Square
0.852
Total R-Square 0.9823
Order DW1 1.49382 1.677
Standard ApproxError Pr > |t|
Intercept 1 9.0257 0.5085 17.75 <.0001lgdp5 1 1.3693 0.1165 11.76 <.0001
Yule-Walker Estimates
Durbin-Watson Statistics
Parameter EstimatesVariable DF Estimate t Value
Estimates of Autocorrelations
Estimates of Autoregressive ParametersLag Coefficient t Value
Ordinary Least Squares Estimates
Durbin-Watson Statistics
Parameter EstimatesVariable DF Estimate t Value
FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 51 of 63Methodology and Data Sources Office of Aviation Policy and Plans
JamaicaThe AUTOREG Procedure
Dependent Variable lnPaxJamaica
SSE 0.14926337 DFE 25MSE 0.00597 Root MSE 0.07727SBC -57.128401 AIC -59.720075MAE 0.06068505 AICC -59.220075
MAPE 0.4113242 HQC -58.949434Total R-Square
0.8755
Order DW1 0.47082 0.7918
Standard ApproxError Pr > |t|
Intercept 1 7.4295 0.5498 13.51 <.0001lgdp5 1 1.6112 0.1215 13.26 <.0001
Lag Covariance Correlation -1 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 9 1
0 0.00553 1 | |********************|
1 0.00351 0.634103 | |************* |
Preliminary MSE 0.00331
StandardError
1 -0.634103 0.157839 -4.02
SSE 0.07185893 DFE 24MSE 0.00299 Root MSE 0.05472SBC -73.055453 AIC -76.942964MAE 0.04203192 AICC -75.899486
MAPE 0.28577549 HQC -75.787003Transformed Regression R-Square
0.7313
Total R-Square
0.9401
Order DW1 1.56592 1.456
Standard ApproxError Pr > |t|
Intercept 1 7.8561 0.8502 9.24 <.0001lgdp5 1 1.5203 0.1881 8.08 <.0001
Estimates of Autoregressive ParametersLag Coefficient t Value
Yule-Walker Estimates
Ordinary Least Squares Estimates
Durbin-Watson Statistics
Parameter Estimatest Value
Estimates of Autocorrelations
Variable DF Estimate
Durbin-Watson Statistics
Parameter EstimatesVariable DF Estimate t Value
FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 52 of 63Methodology and Data Sources Office of Aviation Policy and Plans
MexicoThe AUTOREG Procedure
Dependent Variable lnPaxMexico
SSE 0.20144725 DFE 25MSE 0.00806 Root MSE 0.08977SBC -49.03339 AIC -51.625063MAE 0.06632491 AICC -51.125063
MAPE 0.39991548 HQC -50.854423Total R-Square 0.9323
Order DW1 0.22792 0.6219
Standard ApproxError Pr > |t|
Intercept 1 9.1779 0.3926 23.38 <.0001lgdp6 1 1.6348 0.0881 18.56 <.0001
Lag Covariance Correlation -1 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5
6 7 8 9 1 0 0.00746 1 | |**
******************|
1 0.00559 0.749384 | |*************** |
Preliminary MSE 0.00327
StandardError
1 -0.749384 0.135158 -5.54
SSE 0.05387011 DFE 24MSE 0.00224 Root MSE 0.04738SBC -80.524683 AIC -84.412194MAE 0.03466353 AICC -83.368715
MAPE 0.20972717 HQC -83.256233Transformed
Regression R-Square
0.8764
Total R-Square 0.9819
Order DW1 0.76752 1.3688
Standard ApproxError Pr > |t|
Intercept 1 8.6218 0.6031 14.3 <.0001lgdp6 1 1.7658 0.1354 13.04 <.0001
Yule-Walker Estimates
Durbin-Watson Statistics
Parameter EstimatesVariable DF Estimate t Value
Ordinary Least Squares Estimates
Durbin-Watson Statistics
Parameter EstimatesVariable DF Estimate t Value
Estimates of Autocorrelations
Estimates of Autoregressive ParametersLag Coefficient t Value
FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 53 of 63Methodology and Data Sources Office of Aviation Policy and Plans
Other Latin American CountriesThe AUTOREG Procedure
Dependent Variable lnPaxLtnAmOther
SSE 0.04384308 DFE 19MSE 0.00231 Root MSE 0.04804SBC -65.093556 AIC -68.366684MAE 0.03727921 AICC -67.03335
MAPE 0.22136205 HQC -67.595633Total R-Square 0.9694
Order DW1 0.72282 1.2714
Standard ApproxError Pr > |t|
Intercept 1 9.7658 0.3829 25.51 <.0001lgdp3 1 1.5925 0.0898 17.73 <.0001
Post911 1 -0.1231 0.0356 -3.46 0.0026 Post911
Lag Covariance Correlation -1 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5
6 7 8 9 1 0 0.00199 1 | |**
******************|
1 0.00088 0.441731 | |********* |
Preliminary MSE 0.0016
StandardError
1 -0.441731 0.21146 -2.09
SSE 0.03050158 DFE 18MSE 0.00169 Root MSE 0.04116SBC -69.767887 AIC -74.132057MAE 0.02947287 AICC -71.779115
MAPE 0.17523923 HQC -73.103989Transformed
Regression R-Square0.9465
Total R-Square 0.9787
Order DW1 1.02672 1.2968
Standard ApproxError Pr > |t|
Intercept 1 10.0178 0.4607 21.75 <.0001lgdp3 1 1.5325 0.1071 14.32 <.0001
Post911 1 -0.0901 0.0398 -2.27 0.036 Post911
Estimate t Value Variable Label
Estimates of Autoregressive ParametersLag Coefficient t Value
Yule-Walker Estimates
Durbin-Watson Statistics
Parameter EstimatesVariable DF
Estimates of Autocorrelations
Ordinary Least Squares Estimates
Durbin-Watson Statistics
Parameter EstimatesVariable DF Estimate t Value Variable Label
FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 54 of 63Methodology and Data Sources Office of Aviation Policy and Plans
ChinaThe REG ProcedureModel: MODEL1Dependent Variable: PaxChina PaxChina
Number of Observations Read 51Number of Observations Used 27Number of Observations with
Missing Values24
Sum of MeanSquares Square
Model 3 1.01E+14 3.37E+13 139.56 <.0001Error 23 5.55E+12 2.41E+11
Corrected Total 26 1.07E+14
Root MSE 491365 R-Square 0.9479Dependent Mean 1806216 Adj R-Sq 0.9411
Coeff Var 27.2041
Parameter StandardEstimate Error
Intercept Intercept 1 -2206081 764579 -2.89 0.0084gdp5 1 80249 5792.32911 13.85 <.0001exch exch 1 -187020 85995 -2.17 0.0402
Post911 Post911 1 -1276985 336376 -3.8 0.0009
Analysis of VarianceSource DF F Value Pr > F
Parameter EstimatesVariable Label DF t Value Pr > |t|
FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 55 of 63Methodology and Data Sources Office of Aviation Policy and Plans
Hong KongThe AUTOREG Procedure
Dependent Variable PaxHongKongPaxHongKong
SSE 4.96E+11 DFE 23MSE 2.16E+10 Root MSE 146820SBC 727.912684 AIC 722.729337MAE 102602.061 AICC 724.547518
MAPE 6.15977722 HQC 724.270618Durbin-Watson 0.9226 Total R-Square 0.9658
Standard ApproxError Pr > |t|
Intercept 1 -1504900 183244 -8.21 <.0001gdp3 1 42367 2857 14.83 <.0001SARS 1 -322842 164857 -1.96 0.0624 SARS
Post911 1 -379690 119083 -3.19 0.0041 Post911
Lag Covariance Correlation -1 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 9 1
0 1.84E+10 1 | |********************|1 7.62E+09 0.414745 | |******** |
Preliminary MSE 1.52E+10
StandardError
1 -0.414745 0.193999 -2.14
SSE 3.79E+11 DFE 22MSE 1.72E+10 Root MSE 131278SBC 724.15503 AIC 717.675846MAE 87834.4124 AICC 720.532989
MAPE 5.03771697 HQC 719.602447Durbin-Watson 1.429 Transformed
Regression R-Square
0.9406
Total R-Square 0.9739
Standard ApproxError Pr > |t|
Intercept 1 -1445425 216061 -6.69 <.0001gdp3 1 41236 3211 12.84 <.0001SARS 1 -371918 124323 -2.99 0.0067 SARS
Post911 1 -298789 128451 -2.33 0.0296 Post911
Parameter EstimatesVariable DF Estimate t Value Variable Label
Estimates of Autoregressive ParametersLag Coefficient t Value
Yule-Walker Estimates
Estimates of Autocorrelations
Ordinary Least Squares Estimates
Parameter EstimatesVariable DF Estimate t Value Variable Label
FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 56 of 63Methodology and Data Sources Office of Aviation Policy and Plans
IndiaThe AUTOREG Procedure
Dependent Variable PaxIndiaPaxIndia
SSE 1.51E+11 DFE 24MSE 6310016664 Root MSE 79436SBC 692.595962 AIC 688.708451MAE 49607.376 AICC 689.751929
MAPE 12.1308898 HQC 689.864412Total R-Square 0.9533
Order DWThe AUTOREG Procedure
Dependent Variable PaxHongKongPaxHongKong
SSE 4.96E+11 DFE 23MSE 2.16E+10 Root MSE 146820SBC 727.912684 AIC 722.729337MAE 102602.061 AICC 724.547518
MAPE 6.15977722 HQC 724.270618Durbin-Watson 0.9226 Total R-Square 0.9658
Standard ApproxError Pr > |t|
Intercept 1 -1504900 183244 -8.21 <.0001gdp3 1 42367 2857 14.83 <.0001SARS 1 -322842 164857 -1.96 0.0624 SARS
Post911 1 -379690 119083 -3.19 0.0041 Post911
Lag Covariance Correlation -0 1.84E+10 1 | |**************
******|1 7.62E+09 0.414745 | |********
|
Preliminary MSE 1.52E+10
StandardError
1 -0.414745 0.193999 -2.14
SSE 3.79E+11 DFE 22MSE 1.72E+10 Root MSE 131278SBC 724.15503 AIC 717.675846MAE 87834.4124 AICC 720.532989
MAPE 5.03771697 HQC 719.602447Durbin-Watson 1.429 Transformed
Regression R-Square
0.9406
Total R-Square 0.9739
Standard ApproxError Pr > |t|
Intercept 1 -1445425 216061 -6.69 <.0001gdp3 1 41236 3211 12.84 <.0001SARS 1 -371918 124323 -2.99 0.0067 SARS
Post911 1 -298789 128451 -2.33 0.0296 Post911
Parameter EstimatesVariable DF Estimate t Value Variable
Label
Estimates of Autocorrelations
Estimates of Autoregressive ParametersLag Coefficient t Value
Parameter EstimatesVariable DF Estimate t Value Variable
Label
Yule-Walker Estimates
Ordinary Least Squares Estimates
Durbin-Watson Statistics
Ordinary Least Squares Estimates
FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 57 of 63Methodology and Data Sources Office of Aviation Policy and Plans
JapanThe AUTOREG Procedure
Dependent Variable lnPaxJapan
SSE 0.076805 DFE 22MSE 0.00349 Root MSE 0.05909SBC -65.1807 AIC -71.659892MAE 0.043651 AICC -68.802749
MAPE 0.268629 HQC -69.733291Total R-Square
0.7968
Order DW1 1.19822 1.7084
Standard ApproxError Pr > |t|
Intercept 1 7.4115 1.1309 6.55 <.0001lgdp2 1 2.1837 0.2547 8.57 <.0001
lnFlatYield 1 -0.282 0.0664 -4.24 0.000311-Sep 1 -0.2069 0.0681 -3.04 0.006 11-SepPost911 1 -0.3793 0.0495 -7.66 <.0001 Post911
Lag Covariance
Correlation -1 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5
6 7 8 9 1 0 0.00284 1 | |**
******************|
1 0.00107 0.377141 | |******** |
Preliminary MSE 0.00244
StandardError
1 -0.37714 0.202104 -1.87
SSE 0.063478 DFE 21MSE 0.00302 Root MSE 0.05498SBC -66.8772 AIC -74.652234MAE 0.03966 AICC -70.452234
MAPE 0.244077 HQC -72.340312Transformed
Regression R-Square
0.707
Total R-Square
0.832
Order DW1 1.74262 1.8078
Standard ApproxError Pr > |t|
Intercept 1 7.9347 1.3511 5.87 <.0001lgdp2 1 2.0627 0.3063 6.74 <.0001
lnFlatYield 1 -0.2782 0.088 -3.16 0.004711-Sep 1 -0.2283 0.062 -3.68 0.0014 11-SepPost911 1 -0.3546 0.0612 -5.79 <.0001 Post911
Yule-Walker Estimates
Durbin-Watson Statistics
Parameter EstimatesVariable DF Estimate t Value Variable
Label
Estimates of Autocorrelations
Estimates of Autoregressive ParametersLag Coefficie
ntt Value
Ordinary Least Squares Estimates
Durbin-Watson Statistics
Parameter EstimatesVariable DF Estimate t Value Variable
Label
FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 58 of 63Methodology and Data Sources Office of Aviation Policy and Plans
South KoreaThe REG ProcedureModel: MODEL1Dependent Variable: lnPaxSKorea
Number of Observations Read
51
Number of Observations Used
27
Number of Observations with
Missing Values
24
Sum of MeanSquares Square
Model 5 3.6952 0.73904 89.71 <.0001Error 21 0.17301 0.00824
Corrected Total 26 3.86821
Root MSE 0.09077 R-Square 0.9553Dependent Mean 14.90337 Adj R-Sq 0.9446
Coeff Var 0.60903
Parameter StandardEstimate Error
Intercept Intercept 1 6.65152 0.51338 12.96 <.0001lgdp2 1 2.04386 0.13183 15.5 <.0001
11-Sep 11-Sep 1 -0.33107 0.11872 -2.79 0.011Post911 Post911 1 -0.85317 0.09745 -8.75 <.0001
FinanCrisis FinanCrisis 1 -0.24141 0.07804 -3.09 0.0055NWPaxData NWPaxData 1 -0.35373 0.08435 -4.19 0.0004
Label DF t Value Pr > |t|
Analysis of VarianceSource DF F Value Pr > F
Parameter EstimatesVariable
FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 59 of 63Methodology and Data Sources Office of Aviation Policy and Plans
TaiwanThe AUTOREG Procedure
Dependent Variable PaxTaiwanPaxTaiwan
SSE 1.46E+12 DFE 23MSE 6.35E+10 Root MSE 252023SBC 757.089559 AIC 751.906211MAE 195807.902 AICC 753.724393
MAPE 12.4557868 HQC 753.447492Total R-Square 0.7615
Order DW1 0.9652 1.5787
Standard ApproxError Pr > |t|
Intercept 1 -1094044 381365 -2.87 0.0087gdp5 1 44253 6086 7.27 <.0001
Post911 1 -740604 199155 -3.72 0.0011 Post911GFC 1 -688658 170952 -4.03 0.0005 GFC
Lag Covariance Correlation -1 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 9 1
0 5.41E+10 1 | |********************|
1 2.36E+10 0.436802 | |********* |
Preliminary MSE 4.38E+10
StandardError
1 -0.436802 0.191786 -2.28
SSE 1.03E+12 DFE 22MSE 4.70E+10 Root MSE 216829SBC 751.27478 AIC 744.795596MAE 160066.485 AICC 747.652739
MAPE 10.1258116 HQC 746.722197Transformed
Regression R-Square
0.6606
Total R-Square 0.8311
Order DW1 1.23182 1.3034
Standard ApproxError Pr > |t|
Intercept 1 -737410 433592 -1.7 0.1031gdp5 1 37425 6697 5.59 <.0001
Post911 1 -508692 220709 -2.3 0.031 Post911GFC 1 -482119 199003 -2.42 0.0241 GFC
Yule-Walker Estimates
Durbin-Watson Statistics
Parameter EstimatesVariable DF Estimate t Value Variable Label
Estimates of Autocorrelations
Estimates of Autoregressive ParametersLag Coefficient t Value
Ordinary Least Squares Estimates
Durbin-Watson Statistics
Parameter EstimatesVariable DF Estimate t Value Variable Label
FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 60 of 63Methodology and Data Sources Office of Aviation Policy and Plans
Rest of Asia PacificThe REG ProcedureModel: MODEL1Dependent Variable: PaxRestofAsiaPac PaxRestofAsiaPac
Number of Observations Read
51
Number of Observations Used
27
Number of Observations with
Missing Values
24
Sum of MeanSquares Square
Model 2 1.24E+13 6.22E+12 128.89 <.0001Error 24 1.16E+12 48225427892
Corrected Total 26 1.36E+13
Root MSE 219603 R-Square 0.9148Dependent Mean 4399320 Adj R-Sq 0.9077
Coeff Var 4.99175
Parameter Standard
Estimate ErrorIntercept Intercept 1 1010236 245150 4.12 0.0004
gdp3 1 45324 3496.75 12.96 <.0001GFC GFC 1 -932356 164114 -5.68 <.0001
Variable Label DF t Value Pr > |t|Parameter Estimates
Analysis of VarianceSource DF F Value Pr > F
FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 61 of 63Methodology and Data Sources Office of Aviation Policy and Plans
CanadaThe REG ProcedureModel: MODEL1Dependent Variable: lnPaxCanada lnPaxCanada
Number of Observations Read
62
Number of Observations Used
27
Number of Observations with
Missing Values
35
Sum of MeanSquares Square
Model 3 1.3334 0.44447 230.02 <.0001Error 23 0.04444 0.00193
Corrected Total 26 1.37784
Root MSE 0.04396 R-Square 0.9677Dependent Mean 16.76818 Adj R-Sq 0.9635
Coeff Var 0.26215
Parameter StandardEstimate Error
Intercept Intercept 1 9.36625 0.41105 22.79 <.0001lgdp7 1 1.69743 0.09679 17.54 <.0001
11-Sep 11-Sep 1 -0.14644 0.04996 -2.93 0.0075Post911 Post911 1 -0.27327 0.03915 -6.98 <.0001
Pr > |t|
Analysis of VarianceSource DF F Value Pr > F
Parameter EstimatesVariable Label DF t Value
FAA U.S. Passenger Airline Forecasts Issued on March 24, 2017 Page 62 of 62Methodology and Data Sources Office of Aviation Policy and Plans