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Forecasting Patent Applications at the European Patent Office: A Bottom-Up Versus Top-Down Approach Prepared for WIPO-OECD Workshop on Statistics in the Patent Field 11-12 October 2004 Geneva Switzerland By Frederick L. Joutz Research Program on Forecasting Department of Economics The George Washington University Washington DC 20052 bmark@gwu.edu Overview This paper presents preliminary results on forecasting patent applications at the European Patent Office using annual data. A two step framework is used in the modeling. First Filings Secondary or Subsequent filings Two Models are developed. An aggregate model A disaggregate regional model (Europe Japan US and Other) 1

Overview using total applications is developed as a function of previous filings and measures of R&D activity. A second model is developed distinguishing between countries/regions of origin and first and subsequent filings. Four regions will be considered: Europe Japan United States and rest of world. First filings by region will depend on perceptions regarding the size of the intellectual property market in Europe past filings and economic activity. Subsequent filings are assumed to depend on previous domestic filings in a region measures of R&D and perceptions of the intellectual property market in Europe. Overview Forecasting patent filings is one of the important issues of the Trilateral Statistical Working Group WIPO and the OECD. TSWG composed of the EPO JPO and USPTO. The three offices meet at least once a year to discuss this issue among a host of other patenting issues. They have been holding annual meetings since 1992. The members treat forecasting as an important exercise for planning future resource and manpower requirements and revenues. This paper builds on previous research among the TSWG participants and a recent paper by Hingley and Nicolas (2004). 2

A Theoretical Model of Patent Application Filing Patents protect more than just intellectual property; they are an intrinsic component of the larger economic picture. This occurs through the process of innovation technological and scientific change and economic productivity and growth. The process is the result of the demand for and production of new knowledge. Schmookler (1954) - industrial invention is economically caused. In his view invention is driven by the interaction of supply and demand forces. Scherer (1983) Pavitt (1982) Hall Griliches and Hausman (1986) relationship between R&D effort and patent activities although primarily at the firm level. Griliches (1989). Adams Kim Joutz Trost and Mastrogianis (1997) Eaton and Kortum (1996 and 1998) and Gardner and Joutz (1996) A Theoretical Model of Patent Application Filing The most recent advancement of the endogenous growth theory has been the emergence of R&D-based models of growth in the seminal papers of Romer (1990) Grossman and Helpman (1991a 1991b) and Aghion and Howitt (1992). This class of models agrees with the neoclassical Solow model that capital broadly defined is subject to diminishing returns and hence the accumulation of capital does not sustain growth in the long run. Instead technological progress is the source of sustained long run growth in both types of models. The point of departure lies in the way technological progress is viewed. In the neoclassical model technology evolves exogenously. R&D- based models the evolution of technology is explicitly and formally modeled as an endogenous process. Technological progress occurs as profit-maximizing firms invest in advanced technologies and is promoted by the allocation of more productive resources towards R&D. 3

A Theoretical Model of Patent Application Filing The model involves four variables: Output (Y) capital (K) labor (L) and technology or knowledge (A).[There are two sectors: a goods- producing sector where output is produced and an R&D sector where additions to the stock of knowledge are made. Labor can be freely allocated to either of the two sectors to produce output (LY) or to produce new knowledge (LA). Hence the economy is subject to the following resource constraint LY + LA = L where L represents the total amount of labor in the economy. Specifically output is produced according to the following production function: α 1 α ( 1) Y = K ( ALY ) A Theoretical Model of Patent Application Filing The production function approach to knowledge in is the underpinning of the long-term modeling framework Research labor input is replaced by R&D expenditures as a measure of research effort primarily for data reasons. The production function concept is used in a long-term context for generation of new knowledge. is represented by patent application filings and the level of is calculated as the stock of historical patents A& = δ A L δ A RD φ λ φ λ t t A t A 4

Total Filings at the EPO 200000 160000 Applications 120000 80000 40000 0 80 82 84 86 88 90 92 94 96 98 00 02 P atent Filing s at the E PO 80000 70000 60000 Applications 50000 40000 30000 20000 10000 0 80 82 84 86 88 90 92 94 96 98 00 02 F_EP F_JP F_OT F_US 5

E PO Filings - R egional S hares 70 60 50 percent 40 30 20 10 0 80 82 84 86 88 90 92 94 96 98 00 02 SHF _EP SHF _JP SHF_U S SHF_OT Stock of Knowledge - US 3000000 Patents w/ 7% dep. 2500000 2000000 1500000 1000000 500000 0 1965 1970 1975 1980 1985 1990 1995 2000 AKD_US AKT_US 6

Stock of Knowledge - Japan 5000000 Patents w/ 7% dep. 4000000 3000000 2000000 1000000 0 1965 1970 1975 1980 1985 1990 1995 2000 AKD_J P AKT_JP Filings at EPO Filings after Domestic Filings with 1 Year Lag.6.5.4 Share.3.2.1.0 80 82 84 86 88 90 92 94 96 98 00 02 FEPDOM_EP FEPDOM_JP FEPDOM_US 7

Research and Development Expenditures - Europe Japan and US 280000 240000 $1995 PPP 200000 160000 120000 80000 40000 0 1970 1975 1980 1985 1990 1995 2000 RD_EU RD_JP RD_US The Modeling Procedure Inventors typically first file a patent application in their home country. The first filing represents an indicator of innovative activity. Patent protection on an international scale perhaps based on preliminary searches is sought about a year later. The preferred route is through an international or supranational procedure to reduce the duplication costs. Currently the European Patent Organization has 31 contracting member countries. This route is referred to as a subsequent or secondary filing. The forecasting problem is complicated by the fact that there are multiple routes for patent protection applications. Inventors have the option of filing nationally through the European system and the International PCT route administered through the World Intellectual Property Organization. However the primary work load of searches and preliminary examinations from the PCT applications is performed through nine patent offices. The EPO is one of the most important offices authorized or designated to perform this work. This has become increasingly popular as over 90% of the European contracting states are selected when using the PCT route. 8

Filings at EPO Filings after Domestic Filings with 1 Year Lag.6.5.4 Share.3.2.1.0 80 82 84 86 88 90 92 94 96 98 00 02 FEPDOM_EP FEPDOM_JP FEPDOM_US The Modeling Procedure The model framework proceeds in two stages. See Hingley and Nicolas (2004) for a further exposition of this framework. In the first stage non-epo and EPC patent applications are filed domestically. The model specification is ADL(pp) autoregressive distributed lag model based on economic growth theory and the knowledge production function. p p p p DomFil = β + β DomFil + γ AK + φ RD + θ RGDP + ε t 0 1 t i 1 t i 1 t i 1 t i t i= 1 i= 1 i= 1 i= 1 9

These domestic or first filings are a strong indicator of subsequent filings at the EPO and used in the second stage. The specification is similar. p SEPOFil = β + β DomFil + γ SEPOFil + t 0 1 t i 1 t i i= 1 i= 1 p p n 1 t i 1 t i t i i= 1 i= 1 i= 1 p 2 φ EPOFil + θ ERGDP + u ( X X) Subsequent (or secondary) filings at the EPO are a function of past domestic filings previous filings at the EPO the size of the EPO market and economic activity in Europe. Knowledge Production anddomesticfiling ( 1 ) ( 1 ) ( 1 ) DomFil = f DomFil AK RD GDP US US US US US t US t i t t i t i DomFil = f DomFil AK RD GDP JP JP JP JP JP t JP t i t t i t i DomFil = f DomFil AK RD GDP EU EU EU EU EU t EU t i t t i t i ( Subsequent) Filings at the EPO = ( 1 ) = ( 1 ) = ( Tot EU 1 POFilt i GDPt i ) = ( ) SEPOFil f SEPOFil DomFil EPOFil GDP US US US Tot US t US t i t t i t i SEPOFil f SEPOFil DomFil EPOFil GDP JP JP JP Tot JP t JP t i t t i t i SEPOFil f SEPOFil DomFil E EU EU EU t EU t i t EPOFil f SEPOFil EPOFil GDP OT OT Tot EU t OT t i t i t i EPOFil = EPOFil + EPOFil + EPOFil + EPOFil Tot EU JP US OT t t t t t 10

The Domestic Filing Model - US Specific model of LFDOM_US 1968-2003 Coeff StdError t-value Constant 22.30339 5.68230 3.925 LFDOM_US_1 2.50788 0.58479 4.289 LFDOM_US_2 0.41380 0.17107 2.419 LFDOM_US_3 0.40580 0.15110 2.686 LRD3_US_1 0.80166 0.24127 3.323 LRD3_US_3-1.29514 0.34318-3.774 LAKD_US_1-17.30588 5.35807-3.230 LAKD_US_2 13.08304 4.50410 2.905 LAKD_US_4 0.71821 0.41603 1.726 dp9596 0.12257 0.02417 5.072 Trend 0.05670 0.01446 3.921 The Domestic Filing Model - US RSS 0.02714 sigma 0.03295 LogLik 129.42304 AIC -6.57906 R^2 0.99424 Radj^2 0.99193 HQ -6.41018 SC -6.09520 T 36 p 11 value prob Chow(1986:1) 3.1522 0.0515 Chow(2000:1) 0.0387 0.9896 AR 1-4 test 1.4191 0.2623 ARCH 1-4 test 0.0876 0.9851 hetero test 20.9696 0.3989 11

The Domestic Filing Model - US Dynamic analysis LongRun Estimates LAKD_US 1.5058 >>> Greater than Unity SE 0.0712 LRD3_US 0.2120 >>> Elasticity.2 SE 0.0573 dp9596-0.0527 SE 0.0196 Constant -9.5826 SE 0.9904 Trend -0.0244 SE 0.0039 The EPO Total Model Specific model of LF_TOT 1982-2001 Coeff StdError t-value t-prob Constant 7.83067 3.16504 2.474 0.0268 LF_TOT_2 0.78506 0.05666 13.855 0.0000 LAKT_US 3.05625 0.31196 9.797 0.0000 lrd31_eu_1 0.62121 0.08990 6.910 0.0000 lrd31_eu_2-0.38245 0.07114-5.376 0.0001 LGDP3_EU_1-5.88867 0.98197-5.997 0.0000 RSS 0.00796 sigma 0.02384 LogLik 78.29397 AIC -7.22940 R^2 0.99822 Radj^2 0.99759 HQ -7.17108 SC -6.93068 T 20 p 6 value prob Chow(2000:1) 0.2973 0.5948 normality test 0.1066 0.9481 12

Dynamic analysis The EPO Total Model LongRun LAKT_US 14.2193 SE 4.5099 lrd31_eu 1.1108 SE 0.6108 LGDP3_EU -27.3972 SE 10.5798 Constant 36.4324 SE 22.6889 The Forecasts The aggregate and domestic models were solved dynamically in a stochastic simulation. 1000 repetitions Gauss-Seidel Method Actuals and Forecasts with Confidence Intervals Percent Deviations from Actual 13

Ac t ua l and Fo re ca s ts fro m the Aggreg at e Tot al M o d el 75000 70000 65000 60000 55000 50000 45000 1997 1998 1999 2000 2001 2002 2003 F_ E P F_ E P (B aseline Me an) F_ E P _0 MH F_ E P _0 ML Actual and Forecasts from the Aggregate Domestic Model 124000 120000 116000 112000 108000 1997 1998 1999 2000 2001 2002 2003 FDOM_EU FDOM_EU (Baseline Mean) FDOM_EU_0MH FDOM_EU_0ML 14

P e r c e n t D e v i a t io n s f ro m A g g re g a t e M o d e l 1.2 T o t a l E P O 0.8 0.4 0.0-0.4-0.8-1.2-1.6 1997 1998 1999 2000 2001 2002 2003 1.0 D o m e s t ic E P O 0.5 0.0-0.5-1.0-1.5-2.0 1997 1998 1999 2000 2001 2002 2003 15