Well I didn't ask for this, but here goes.
My thesis is that resources, while finite, are abundant in most cases. In some cases where they might not be abundant, humans are adaptable and can substitute to other, usually more abundant, resources. Sometimes it might take some time to switch over to the more abundant resource, so in the meantime the increasing scarcity of the old, less abundant resource will drive the price up. But that rising price will encourage people to use this resource more efficiently, thus spreading out the amount of time the remaining resource is available, until we can someday switch over to the newer resource.
In addition to non-renewable resources (which is what I was referring to in the paragraph above), other resources are
made, such as agriculture. These resources, in particular, can rise in production as human demand warrants.
I'll start with some stats. First are basic grains.
World Wheat Production
World Soybean Production - of course soybeans aren't a "grain," but they are used as a de-facto grain
World Corn Production
Source for above 3 charts is
here
The other major worldwide grain is
rice. According to this table
here, world rice production since 1981 (same as 2 of the charts above) looks like this:
Year__ thousand tons
1981 - 410,059
1982 - 421,916
1983 - 447,866
1984 - 465,175
1985 - 467,949
1986 - 468,403
1987 - 461,110
1988 - 487,069
1989 - 514,052
1990 - 518,213
1991 - 518,405
1992 - 528,262
1993 - 529,581
1994 - 538,598
1995 - 547,205
1996 - 568,609
1997 - 576,822
1998 - 578,923
1999 - 610,689
2000 - 598,459
2001 - 597,498
2002 - 568,508
2003 - 585,972
2004 - 611,650
2005 - 629,494
2006 - 631,415
In comparison, world population in 1981 was
4.529 billion (
source). In 2007, world population was
6.6 billion (
source). This is a
45.7% increase.
From the charts above, you can see that world wheat production in 1981 was about 445 million metric tons. In 2007 that has risen to 603.59 million metric tons. That's a
35.6% increase. So this one didn't outpace population growth.
In 1981, guesstimating from the chart, world soybean production was about 60 million metric tons. By 2007 that had risen to 220 million metric tons. That's a
266% increase. So this one definitely outpaces population growth.
Next is corn. From the chart above it shows world corn production in 1981 at about 440 million metric tons. By 2007 that had risen to 766.23 million metric tons. This is a
74.1% increase. Once again, this outpaces population growth.
Last is rice. The list I got only goes to 2006, but that's close-enough. In 1981 world rice production was 410,059 thousand metric tons. By 2006 that had risen to 631,415 thousand metric tons. This is a
54% increase. Once again, outpacing world population growth.
So, 3 of the 4 major grains (or should I say, "grains") have outpaced world population growth since 1981. So much for Malthus.
This should be a good start.