This section is from the book "The American Garden Vol. XI", by L. H. Bailey. Also available from Amazon: American Horticultural Society A to Z Encyclopedia of Garden Plants.
By Cross-Fertilization Of Potatoes they have been vastly improved, both as regards quality and yield. The efforts made by specialists in this direction have been of incalculable value to the grower. Now, how shall he reap the greatest advantage from the introduction of a new variety ?. First, he must disabuse his mind of the idea that degeneration will follow the planting of a given variety in the same soil; that a change of seed is necessary.
It is no wonder that these opinions exist when it is customary with farmers to sell or consume the best and to plant from the refuse. It is a well-known fact that on a given soil some varieties will give a greater yield than others. Having determined which is the better, the next move is to select for stock the best the field affords. This operation is attended with considerable care, if well done. All growers have observed that some hills will turn out more potatoes than others, even though the conditions are the same. This is noticeable in the vines. If before digging they are strong, vigorous and branching, the tubers will be larger and better shaped, as well as more in quantity. Select the best from such hills only, in future seasons follow this method, and the yield will be far greater and the size of tubers be increased. This practice is followed by some farmers with whom we are acquainted, and others in their immediate neighborhood look to them for stock.
Let me state one instance to show more clearly the importance of the method. Upon the introduction of the Early Ohio, George W. Hallock & Son, of Orient, Long Island, commenced to grow it, and so satisfactory was the crop they have continued to do so, always selecting in the manner described their stock seed. The result was they have established a new type, differing somewhat in shape, and earlier and more productive.
 
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