You are asking two quite different questions, which are only tenuously linked. To answer the easy one, Biodiversity is simply the short version of biological diversity. They are the same thing. The survival of organisms in changing environments is about how quickly organisms can adapt, and organisms that adapt behaviorally rather than physiologically have a better chance of survival, but it depends on the magnitude of the change in the environment. As an example very few organisms can survive a volcanic eruption or an asteroid strike. It is easier to survive some aspects of climate change. If you provide more detail in the question you are asking, I can give moreprecise answers.
Two different questions under two very diferent contexts. ¿How do you link them? I think a background would be useful, because basically all depends on that.
The link is that species that are very adaptable can be quite plasticin their responses and evolutionary histories. Thus, they can increase biodiversity by evolving quickly into new forms. The classic example of this is the Apple Maggot Fly, Rhagoletis pomonella, which evolved from the Hawfly within a very short peiod. Apples were newly introduced to North America, and thus created a new niche. Apples and hawthorn set fruit at different times of the year, so the flies that switched to apples were reproductively isolated by timing. Thye had to evolve a new reproductive schedule. The past place to look for such evidence is in insect/plant coevolution.
Change in an organism's environment forces the organism to adapt to fit the new environment, eventually causing it to evolve into a new species. Evolutionary adaptation, or simply adaptation, is the adjustment of organisms to their environment in order to improve their chances at survival in that environment. The idea of natural selection is that traits that can be passed down allow organisms to adapt to the environment better than other organisms of the same species. This enables better survival and reproduction compared with other members of the species, leading to evolution. When some animals and plants encounter the impacts of climate change in their environment, they respond by changing behavior and moving to a cooler area, modifying their physical bodies to better deal with the heat, or altering the timing of certain activities to match changes in the seasons. The degradation, including pollution, of habitat causes animals to have shorter lives in which they are less likely to breed, and their overall population decreases. Both of these changes in environmental conditions make it difficult for species to survive. Biological diversity, or biodiversity, is the variety of life on earth. It comprises variability within species, among species, and of ecosystems. It also refers to the complex relationships among living things, and between living things and their environment. Biodiversity short for biological diversity is the variety of all living things and their interactions. Biodiversity changes over time as extinction occurs and new species evolve. Scientists often speak of three levels of diversity: species, genetic, and ecosystem diversity. Biodiversity is the variety of all living things; the different plants, animals and microorganisms, the genetic information they contain and the ecosystems they form. Diversity refers to the range of differences that exist within a particular group or community, while biodiversity refers to the variety of life on Earth.