The current disclosure involves the arrangement and efficient deployment of self-adhering flexible sheet material in individual segments to encircle a bale of harvested material and isolate it from the wind, precipitation, and other elements as it remains in the field following the formation of the bale attendant with harvesting of the crop, until collected for further processing. For use with harvested crops such as cotton or hay, the individual wrapping segments further comprise adhering members, which cause a portion of a wrapping segment, generally found at what is considered a trailing end during a wrapping cycle, to releasably attach to adhering members on an opposite surface of the same wrapping segment.