What research evidence is there that people respond to an increase in demands on their time by changing their behavior e.g. by doing more planning, forecast, scheduling, To-Do Listing, catch-up exercises etc? Do their emotional states also change?
I can speak from experience that to-do lists don't work - they add to the problem, and give you physical evidence that you should slow down. In general, the emotional state deteriorates over time with a higher demand.
1) In Cognitive Ergonomics there is a large literature about planning (organizational strategies to cope with time pressure). See for instance Xiao, Milgram & Doyle (1997) study of anesthesiologists. See also Cegarra (2008) about robust planning of industrial schedulers.
2) Miller (1960) identified three coping strategies: acceleration (processing information at a faster rate), filtration (processing only the most important information) and avoidance (not processing the information at all).
3) The relationship with emotions is a complex issue. A starting point relates to study of time pressure in car driving (e.g., O'Brien, Tay & Watson, 2004; Coegnet et al., 2013)
4) Perhaps to fully answer your question you need to handle the difference between time pressure (externally determined) and time urgency (internally determined with large individual differences)
I think, increase in demands on time simply shows how important you are for the others. Time is crucial for any kind of work. If you feels that you do not have time for some type of works means you are very busy in the other works. It is good to be busy than being free as I think.
I have developed a theory that most people's behavior around task management follows a predictable pattern. As task volume increases, their combination of aids/tools and behaviors also shifts as they hit different limits.
Although the symptoms may be the same in each instance, the only solution is to make a dramatic shift. Unfortunately, there has been no attempt to coordinate these shifts into a single coherent narrative until now.