Yearly number of US patent applications (utility, design and plants - vast majority are utility), versus USGDP divided by $25,000,000. If one views patent applications as insurance while commercializing innovation, then since R&D funding tends to track GDP, so too will the number of patent applications.
Also displayed is the SP500 scaled by 400. This graph tends to track both GDP and the number of patent applications, which might not be surprising - SP500 represents corporate profits, a fraction of which is spent on patent applications. However, also displayed is the Japanese version of the SP500, the Nikkei 225, many companies of which file many U.S. patent applications. Yet, much like the Japanese economy, the Nikkei has remained flat for decades. This could be an argument for a lack of connection between patents and stock prices.
Trademark registrations correlate with, but lag, the S&P 500.
TABLE OF DATA TO CUT-AND-PASTE
YEAR # US Apps GDP SP500(*400) Nikkei*10 1980 105046 27881 54304 0 1981 107513 31268 49020 0 1982 116731 32532 56256 0 1983 97448 35346 65972 0 1984 109539 39309 66896 0 1985 116427 42175 84512 130830 1986 121611 44601 96868 188210 1987 126407 47364 98832 215640 1988 137069 51004 111088 301590 1989 151331 54821 141360 389160 1990 163571 58005 132088 238490 1991 167715 59921 166836 229840 1992 172539 63423 174284 169250 1993 174553 66674 186580 174170 1994 186123 70852 183708 197230 1995 221304 74147 246372 198680 1996 191116 78385 296296 193610 1997 220773 83324 388172 152590 1998 240090 87935 491692 138420 1999 261041 93535 587700 189340 2000 293244 99515 528112 137860 2001 326081 102862 459232 105430 2002 333688 106423 351928 85790 2003 333452 111422 444768 106770 2004 355527 118533 484768 114890 2005 384228 126230 499316 161110 2006 419760 133772 567320 172260 2007 441637 140287 587344 153080 2008 468869 142915 361300 88600 2009 460924 139737 446040 105460 2010 481483 144989 503056 102290 2011 506924 150757 503040 84550 2012 533308 156815 584876 103950