Is Malthusian theory of population growth being realized? You probably are familiar with Malthus' Theory of Population Growth. 

If you are not, Malthusian model has the following mathematically form:

$$P(t) = P_0e^{rt}$$

A basic graphic representation is:

 

Note that population is growing in a exponential form where as the resources are growing only linearly. By resources, I do not only mean food resources, but they also include water, energy, land and anything else that support the continuation of expansion of human societies.

Malthusian theory of population growth has been subjected to criticism, mostly, IMHO,  a reaction for the theory being too pessimistic. 

But let's have a look at the real population growth for the past couple of thousand years:

Now, let's smooth the graph out:


Do you see what I see?

Still not convinced? Let's zoom in for the more recent times (vertical axis is in billions):



Those are the figures from wikipedia, on which I have calculated percentage change per five years:



Note that even at the current stage, we are still at an above the average trend for over the past 211 years (since 1804 when the world population hit 1 billion):

$$1.0095^{211} = 7.35$$

There are, currently 7.35 billion people on earth.

The average of annual population increase is 0.95% per year, but we are increasing at a rate of more than 1% per year.

Is Malthusian theory of population growth being realized? If this is true, are we going to hit the point of crisis soon because of the limited resources?

If not, why not? 

Please support it with number and figures, I would appreciate a more scientific than opinion based discussion.
The annual growth rate of the global population has been in decline since about 1967 (five decades ago).

The absolute annual growth peaked in 1987 (three decades ago).

Malthusians claim that:


population growth is geometric or higher; and 
food production growth is arithmetic or lower.


If either of those do not hold, then Malthusian theory does not hold. And it turns out that neither of them hold:


Population is not growing geometrically (not even arithmetically); and
food production turned out to be capable of greater than arithmetic leaps in growth: food production per capita grew by 45% between 1961 and 2013 (source: UN Food &amp; Agriculture Organization FAOSTAT Food Production Indices for the world, element code 434, domain code QI, Area code 5000, Item code 2051, Agriculture (PIN);)


Some relevant factors: cheap, reliable, ubiquitous contraceptives; education and emancipation, particularly for women; cheap and plentiful crop fertilisers; mechanisation of farming; and selective crop breeding, by taking the old practice of eating the best of each crop and sowing the worst, and doing the exact opposite.

Here are two charts, using the global historic data from the US Census organisation for 1800-1950, and the UN data for 1950-2014.