Thus, there are two types of factors. Labor is the mobile factor that can move between the two sectors. Each of the other two factors is assumed to be specific to a particular industry. That is, the quantity of each specific factor is fixed and cannot move to the other industry. Specific factors cannot move between industries.
Finland produces ocean cruisers and leather products such as reindeer fur, mink and fox coats. Lapland, the nothern part of Finland, is sparsely inhabited by mostly Indians who hunt these wild animals. This cold climate or forest is a factor specific in the leather goods industry. In the urban areas Finns are also engaged in cruise ship building and Finland exports cruisers to European countries. In addition to well educated workers, the ship building industry requires a large amount of capital, which is specific to that industry in that it cannot be used in the leather goods industry. Finnish workers are mobile between the two industries.

A cruiser in Helsinki, September 5, 2003
The economy produces two goods using two factors of production, capital and labor in a perfectly competitive market. Capital is assumed to be specific to each industry, and is immobile between industries. In the two good model, there are two specific factors, K and T. In this sense, Jones calls it a 2-good, 3-factor model. (K = Kapital, which is capital in German, T = Terra in Latin, meaning land or earth. We do not use L to denote land because it is reserved for labor, and the lower case l looks like "one." It is best to avoid confusing symbols.)
In a Heckscher-Ohlin model to be studied shortly, both factors, capital and labor, are assumed to be mobile. Recall that in production decisions, some factors are fixed (and hence specific) in the short run, but all factors are variable inputs in the long run. Hence, the HO model is a long-run model, whereas the specific factors model is a short run model in which capital and land inputs are fixed but labor is a variable input in production.
However, all factors are assumed to be fully employed.
In contrast to the Ricardian model, labor is the mobile factor between the two industries.
Resource constraint:
Δπ1 = p1Δy1 - wΔL1 = 0 for a maximum profit (The profit function must reach a peak or a plateau so that a change in profit is zero)
Divide both sides by ΔL1.
Alternatively,
p2MPL2 = w.
p*2MP*L2 = w*.
If labor productivities are the same in the two countries, free trade equalizes wage rates. However, due to diminishing marginal returns, marginal product of labor decreases with employment. In general, MPLi is not equal to MP*Li in any industry. Free trade equalizes output prices, but not wages.
An increase in the price of the exportable increases rent.
More generally,
An increase in the price of a good increases the rent of the factor specific to that industry.
For instance, international trade raises the price of the exportable good (foodstuff, such as corn and soybean), which in turn raises the price of the factor stuck in that industry such as land. That is, trade raises land value in the Midwest.
The US government now endeavors to achieve energy independence, i.e., independence from imported oil. Billions of dollars are now being invested to develop alternative source of energy such as ethanal from corn or switchgrass. This increase in the price of ethanol should increase the land value in the Midwest, because it is a fixed factor there.
Remark: This implies that a movement toward free trade (FT) increases the price of the exportable (p1), and hence increases the return to the factor (K) specific to that industry.
An increase in the price of the exportable increases its output. Note that
PPF is concave to the origin, unlike that in the Ricardian model..
The Silkroad
The Ricardian trade model does not explain the caravan trade along the Silkroad between the two empires, Rome and China (because China have exported not only silk but also many other products, including porcelain wares, to Europe). The Specific Factors Model explains the trade along the Silkroad. Emperor Wu Di (145-87 BC) of Han dynasty (206 BC - 220 AD) built the silkroad, connecting Chang An (Xian today, where Qin Shi Huang-Di's tomb was recently found, making it the most important archeological discovery in the 20th Century) and Europe, though central Asia. However, the Chinese were trading with Europe long before the Silkroad was officially built and expanded by emperor Wu Di. Imported colored glasses were found in China during the Warring States period. Silk was produced by the Liangzhu people who lived around the Yangtze River basin (around Shanghai today).
Read the legend associated with the Silkroad.
Rome acquired several glass producing centers in Syria and Egypt. China exported
porcelain wares (which were known as china) and silk to Rome and the intervening
regions (e.g. India and Persia) and imported gold, textiles, spices, colored
glass, precious stones (e.g., Mediterranean corals) and gold and silver from
them. Colored transparent glass was especially prized in China. China had been
producing liuli (opaque glass) before the Christian era. Rome imported glass
wares from Syria and in turn exported them to China. China had specific factors
such as weather and land suitable for sericulture. China and the rest were exporting
the products which use their specific factors and imported other goods.