Work on the relationship between morphology and metrical structure has mainly addressed three questions:
1. How does morphological constituent structure map onto prosodic constituent structure, i.e., the structure that is responsible for metrical organization?
2. What are the reflexes of morphological relations between complex words and their bases in metrical structure?
3. How variable or categorical are metrical alternations?
The focus in the work specified in question 1 has been on establishing prosodic constituency with supported evidence from morphological constituency. Pertinent prosodic constituents are the prosodic (or phonological) word, the metrical foot, the syllable, and the mora (Selkirk, 1980). For example, the phonological behavior of certain affixes has been used to argue that they are word-internal prosodic words, which thus means that prosodic words may be recursive structures (e.g., Aronoff & Sridhar, 1987). Similarly, the shape of truncated words has been used as evidence for the shape of the metrical foot (cf., e.g., Alber & Arndt-Lappe, 2012).
Question 2 considers morphologically conditioned metrical alternations. Stress alternations have received particular attention. Affixation processes differ in whether or not they exhibit stress alternations. Affixes that trigger stress alternations are commonly referred to as 'stress-shifting' affixes, those that do not are referred to as 'stress-preserving' affixes. The fact that morphological categories differ in their stress behavior has figured prominently in theoretical debates about the phonology-morphology interface, in particular between accounts that assume a stratal architecture with interleaving phonology-morphology modules (such as lexical phonology, esp. Kiparsky, 1982, 1985) and those that assume that morphological categories come with their own phonologies (e.g., Inkelas, Orgun, & Zoll, 1997; Inkelas & Zoll, 2007; Orgun, 1996).
Question 3 looks at metrical variation and its relation to the processing of morphologically complex words. There is a growing body of recent empirical work showing that some metrical alternations seem variable (e.g., Collie, 2008; Dabouis, 2019). This means that different stress patterns occur within a single morphological category. Theoretical explanations of the phenomenon vary depending on the framework adopted. However, what unites pertinent research seems to be that the variation is codetermined by measures that are usually associated with lexical storage. These are semantic transparency, productivity, and measures of lexical frequency.