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For a crown-based usage, a member of the clade comprising the last common ancestor of living monotremes and therians and all its descendants. hair and lactation characterize living members, but recognition of many early fossils depends on jaw and dental characters.

Mammalian endothermy probably emerged through several interacting changes along the synapsid stem, and its precise onset remains disputed because the fossil proxies measure different aspects of physiology. Endothermy concerns substantial metabolic heat production; homeothermy concerns relatively constant body temperature. A large animal can have relatively stable temperature without a mammalian metabolic rate, while an endothermic animal can display heterothermy. These distinctions prevent a single temperature estimate or anatomical character from being treated as a complete diagnosis.

The physiological problem is a heat balance. In a deliberately simplified steady-state model:where $M$ is metabolic energy turnover, $W$ external work, $G$ effective thermal conductance of an animal, $T_b,T_a$ body and ambient temperature, and $E$ evaporative heat loss. Maintaining a warm body in a cool environment can involve increased metabolism, reduced conductance, behaviour, or a combination. For example, $G=0.1\mathrm{W}{\mathrm{K}}^{-1}$ and a $20\mathrm{K}$ difference imply $2\mathrm{W}$ of non-evaporative heat loss in this illustrative model. The numbers are not a reconstruction of a fossil animal.

Along the synapsid lineage, increased sustained activity would require coordinated oxygen uptake, transport and use, greater food processing and sufficient energy assimilation. More effective locomotor construction, ventilation and circulation could support greater aerobic capacity, while insulation would reduce the cost of retaining the resulting heat. Shivering thermogenesis and later forms of non-shivering thermogenesis can contribute in living mammals. Brown adipose tissue in many living placental mammals cannot simply be assigned to early therapsids; a modern mechanism need not have been the ancestral one. Similarly, an expanded secondary palate or an altered limb posture is compatible with increased performance but is not a direct measurement of resting metabolism.

The time sequence must be reconstructed from several lines of evidence. Early synapsids lack the complete modern mammalian package, whereas various therapsids and cynodonts show changes in growth, feeding and respiratory anatomy before the mammalian crown radiation. Rapidly deposited fibrolamellar bone supports rapid growth, but fast-growing ectotherms and the influence of size and environment prevent a unique inference of endothermy. Growth interruptions can reflect seasonality or resource shortage rather than a categorical physiological boundary. Nasal structures interpreted as respiratory nasal turbinates could reduce water and heat loss during high ventilation, but identifying their precise form and separating respiratory from olfactory roles in fossils is difficult.

Preserved hair supplies direct evidence of insulation in some later fossils. Castorocauda, a Middle Jurassic mammaliaform, preserves integument alongside an aquatic anatomical specialization. ^[ref] This establishes that a fur-bearing covering existed by that time, not when insulation first evolved or whether its original function was thermal. Sensory and protective functions can precede elaboration for heat conservation. Direct preservation is particularly valuable, but its late appearance in the sampled record is not proof of biological absence in older lineages.

Stable isotope analysis has suggested earlier elevated thermometabolism. Comparing oxygen-isotope compositions of therapsid apatite with those of coexisting tetrapods, one study inferred differences in physiology and proposed elevated thermometabolism in several Permo-Triassic therapsid groups. ^[ref] The comparison is stronger than analysing one isolated animal because coexisting taxa constrain aspects of the environment. Nevertheless, body water, drinking source, habitat, evaporation and diagenesis affect the isotopic signal. The proposed middle-to-late Permian origin is an interpretation using a physiological framework, not a thermometer reading of an observed living cynodont.

A contrasting biomechanical approach uses the temperature dependence of endolymph properties and the dimensions of the semicircular canals. Calibration against living animals and application to fossil inner ears supported a relatively abrupt transition around 233 million years ago in the Late Triassic, near the origin of mammaliamorphs. ^[ref] This offers a quantitative prediction from a different anatomical system. However, body size, activity, reconstruction and the adequacy of the living calibration remain relevant. A change in a temperature-sensitive inner-ear proxy need not coincide exactly with the first increment in metabolic heat production or the first insulating covering. The disagreement with earlier isotope-based interpretations should therefore be tested, rather than erased by choosing the preferred date.

There are several plausible selective explanations. The aerobic capacity hypothesis proposes that selection for sustained locomotor performance raised maximum oxygen consumption, with elevated resting metabolism and heat production linked to that change. Comparative measurements of resting and maximum oxygen use underpin this proposal. ^[ref] A major issue is the strength and evolutionary direction of the relationship: high resting expenditure is expensive, and an association among living species does not prove which change led historically. Selection for thermal independence, nocturnal activity or performance in fluctuating climates provides related benefits, but “the climate became colder” is not sufficient unless the energetic costs and available food are considered.

A parental care hypothesis instead emphasizes selection for controlling the developmental environment and supplying offspring. Improved provisioning endurance and more stable incubation or offspring temperatures could favour increased metabolic capacity and heat retention. ^[ref] This gives concrete reproductive benefits that might offset energetic costs, while remaining a hypothesis about historical selective circumstances. The evidence required includes relationships among care, thermal performance and reproductive success, not merely the fact that living mammals both care for young and are endothermic. Activity, parental investment, insulation and environmental variability could reinforce one another, so the explanations need not be mutually exclusive.

The most secure account is a mosaic physiological transition with increasingly effective energy supply, heat production and heat retention. A Late Triassic onset of a more fully mammalian condition is a specific supported hypothesis, while earlier therapsid evidence indicates that parts of the transition may be older. fossil anatomy and chemistry constrain when particular features existed; the selective reasons require functional and comparative tests and remain less directly observable.

cetaceans illustrate a sequence of inherited mammalian features, terrestrial specializations and subsequent aquatic transformations, followed by divergence in feeding and sensory anatomy. This is a branching phylogenetic tree, not a procession of named fossils that can all be identified as direct ancestors. Here Cetacea includes living whales, dolphins and porpoises; mammals means the crown group containing living monotremes and therians, whereas mammaliaforms also includes close extinct relatives outside that crown group. Dates below are approximate millions of years ago, abbreviated Ma.

The starting condition is a terrestrial, non-mammaliaform cynodont, itself a therapsid within Synapsida. Along the mammalian stem group, enlargement of the dentary and reduction of the other lower-jaw bones accompanied more differentiated teeth, increasingly precise dental occlusion and elaboration of a secondary palate. These changes belong to a feeding and respiratory complex: a larger tooth-bearing bone carries the mastication load, differentiated teeth process food, and a bony partition separates nasal and oral passages. They were acquired in a mosaic; neither a full modern mammalian jaw nor the aquatic body plan appeared at the initial divergence from other cynodonts.

Early mammaliaforms show how jaw support and hearing became reorganized. Morganucodon, around the Triassic–Jurassic transition and Early Jurassic, retained the old articular–quadrate jaw joint alongside a dentary–squamosal joint. In the mammalian condition the dentary–squamosal articulation supports the jaw, while the articular and quadrate correspond to the malleus and incus; the angular bone contributes to the ectotympanic. This is biological homology supported by comparative anatomy and biological development, not merely similarity in function. Hadrocodium, about 195 Ma, records further changes in jaw attachment and the braincase consistent with increased separation of mastication and hearing. Its tiny skull does not preserve an entire living-style ear apparatus; the reconstruction depends partly on bony attachment evidence. ^[ref]

The inherited mammalian package also includes diphyodonty, hair and lactation, although the latter two leave much poorer evidence in these particular fossils than do teeth and jaws. Precise adult dental occlusion is easier to maintain when repeated replacement ceases. The lineage subsequently passed through Theria, Eutheria and the ancestors of living placental mammals. These nested relationships matter: a Cretaceous eutherian is not automatically a member of the living placental crown group, and neither the first known fossil nor the date of a tooth innovation fixes the origin of an entire group.

The immediate terrestrial context of whale evolution is within Artiodactyla, broadly circumscribed to include Cetacea. Living hippopotamuses are the closest living relatives of cetaceans, not their ancestors. Some early whale teeth suggested relationships with extinct mesonychians, but dental resemblance alone was misleading. Early whale skeletons preserve the characteristic artiodactyl double-pulley astragalus, providing a powerful independent anatomical test of the relationship inferred from molecular evidence. The relevant comparison is the detailed construction of the ankle, not simply whether an animal has hooves or eats meat. ^{[ref] [ref]}

Early Eocene pakicetids, roughly 50 Ma, combine a largely terrestrial, weight-bearing skeleton with diagnostic whale ear-region anatomy, notably the thickened medial wall of the auditory bulla called the involucrum. Thus identification as a whale does not imply an obligately marine animal. Ambulocetus, roughly 48 Ma, has a different combination: robust limbs still useful around shore, large feet and an axial skeleton suited to substantial movement in water. Reconstruction of amphibious locomotion uses limb proportions, joint surfaces and vertebral anatomy together; it does not require assuming that its swimming exactly resembled an otter's. These are successive grades represented by branching relatives, not proof that a particular pakicetid gave birth to the known Ambulocetus specimen. ^[ref]

Middle Eocene protocetids further document reduction of terrestrial support and increasing commitment to swimming. Changes in the connection between pelvis and vertebral column, limb proportions and the position of external nostrils occurred in different combinations. The ankle of Rodhocetus is especially informative about ancestry even while other parts of its skeleton document aquatic specialization. It would be unjustified to draw a preserved tail fluke onto Rodhocetus: a reconstructed swimming mode must distinguish actual preserved anatomy from inferred soft parts. ^[ref]

Aquatic hearing changed alongside locomotion. Enlargement of the mandibular sound-reception region and changes in the middle ear support a transition towards receiving underwater sound through the lower jaw, with increasing acoustic separation of the ears from the skull. Early whale lineages display different intermediate combinations, so the presence of an involucrum alone does not imply a modern dolphin hearing system. Reconstructing soft sound-conducting tissues requires comparison with living anatomy; the fossil preserves their bony context rather than the entire pathway. ^[ref]

By the later Eocene, basilosaurids were fully aquatic. The forelimbs functioned as flippers, the vertebral column and tail supplied propulsion, and the hind limbs were far too small to support terrestrial walking. Nevertheless, the reduced limbs of Basilosaurus retain recognizable limb and foot elements. Loss of a locomotor role is not equivalent to absence of all function; reproductive or muscular roles are compatible with reduction, although a specific behaviour cannot be read directly from a bone. The transition therefore involved changing proportions and connections as well as losses. ^[ref]

Finally, the living branches acquired different specializations. Odontoceti retain teeth and evolved specialized sound production and echolocation; Mysticeti evolved baleen and lack functional adult teeth. fossil toothed mysticetes and degraded enamel-related genes show that modern toothlessness is derived. Palatal vascular features have been used to infer an intermediate combination of teeth and baleen, but such foramina do not preserve the baleen itself, and the exact sequence of feeding behaviours is less secure than the transition from toothed ancestry. ^[ref] The resulting history explains why a whale can have a mammalian jaw and reproductive system, an artiodactyl ancestry, a radically modified swimming skeleton, and a feeding apparatus that evolved after the aquatic transition. The strongest reconstruction combines nested anatomical characters with independently dated fossils, while treating soft-tissue and behavioural reconstructions as hypotheses.