1. Natural Vegetative Propagation: This involves the plant itself producing new individuals without the need for human intervention. This can happen through:

* Runners: Modified stems that grow horizontally along the ground, producing new plants at their nodes (examples: strawberries, spider plants)

* Rhizomes: Underground stems that grow horizontally, producing new plants at nodes (examples: ginger, bamboo)

* Suckers: Shoots that arise from roots or underground stems (examples: blackberry bushes, aspen trees)

* Bulbils: Small, bulb-like structures that form in the leaf axils or on the flower stalk (examples: garlic, onions)

* Tubers: Swollen underground stems that store food and can produce new plants (examples: potatoes, yams)

2. Artificial Vegetative Propagation: This involves human intervention to produce new plants from existing plant parts. Common methods include:

* Cuttings: Taking sections of stems, leaves, or roots and planting them to develop into new plants (examples: roses, geraniums)

* Grafting: Joining a piece of a stem (scion) from one plant onto the root system (rootstock) of another plant (examples: fruit trees, roses)

* Layering: Bending a stem to the ground and covering it with soil, allowing it to develop roots before separating it from the parent plant (examples: raspberries, ivy)

* Division: Separating a plant into smaller portions, each with its own roots and shoots (examples: hostas, daylilies)

* Tissue Culture: Growing new plants from small pieces of tissue in a sterile laboratory setting (examples: orchids, bananas)