Similar to the evolution in species, the approximately 1014 cells in the human body are subject to the forces of mutation and selection1. This process of somatic evolution begins in the zygote and only comes to rest at death, as cells are constantly exposed to mutagenic stresses, introducing 1–10 mutations per cell division2. These mutagenic forces lead to a gradual accumulation of point mutations throughout life, observed in a range of healthy tissues5,6,7,8,9,10,11 and cancers12. Although these mutations are predominantly selectively neutral passenger mutations, some are proliferatively advantageous driver mutations13. The types of mutation in cancer genomes are well studied, but little is known about the times when these lesions arise during somatic evolution and where the boundary between normal evolution and cancer progression should be drawn.

Sequencing of bulk tumour samples enables partial reconstruction of the evolutionary history of individual tumours, based on the catalogue of somatic mutations they have accumulated3,14,15. These inferences include timing of chromosomal gains during early somatic evolution16, phylogenetic analysis of late cancer evolution using matched primary and metastatic tumour samples from individual patients17,18,19,20, and temporal ordering of driver mutations across many samples21,22.

The PCAWG Consortium has aggregated whole-genome sequencing data from 2,658 cancers4, generated by the ICGC and TCGA, and produced high-accuracy somatic variant calls, driver mutations, and mutational signatures4,23,24 (Methods and Supplementary Information).

Here, we leverage the PCAWG dataset to characterize the evolutionary history of 2,778 cancer samples from 2,658 unique donors across 38 cancer types. We infer timing and patterns of chromosomal evolution and learn typical sequences of mutations across samples of each cancer type. We then define broad periods of tumour evolution and examine how drivers and mutational signatures vary between these epochs. Using clock-like mutational processes, we map mutation timing estimates into approximate real time. Combined, these analyses allow us to sketch out the typical evolutionary trajectories of cancer, and map them in real time relative to the point of diagnosis.

Reconstructing the life history of tumours

The genome of a cancer cell is shaped by the cumulative somatic aberrations that have arisen during its evolutionary past, and part of this history can be reconstructed from whole-genome sequencing data3 (Fig. 1a). Initially, each point mutation occurs on a single chromosome in a single cell, which gives rise to a lineage of cells bearing the same mutation. If that chromosomal locus is subsequently duplicated, any point mutation on this allele preceding the gain will subsequently be present on the two resulting allelic copies, unlike mutations succeeding the gain, or mutations on the other allele. As sequencing data enable the measurement of the number of allelic copies, one can define categories of early and late clonal variants, preceding or succeeding copy number gains, as well as unspecified clonal variants, which are common to all cancer cells, but cannot be timed further. Lastly, we identify subclonal mutations, which are present in only a subset of cells and have occurred after the most recent common ancestor (MRCA) of all cancer cells in the tumour sample (Supplementary Information).

Fig. 1: Timing clonal copy number gains using allele frequencies of point mutations.
figure 1

a, Principles of timing mutations and copy number gains based on whole-genome sequencing. The number of sequencing reads reporting point mutations can be used to discriminate variants as early or late clonal (green or purple, respectively) in cases of specific copy number gains, as well as clonal (blue) or subclonal (red) in cases without. b, Annotated point mutations in one sample based on VAF (top), copy number (CN) state and structural variants (middle), and resulting timing estimates (bottom). LOH, loss of heterozygosity. c, Overview of the molecular timing distribution of copy number gains across cancer types. Pie charts depict the distribution of the inferred mutation time for a given copy number gain in a cancer type. Green denotes early clonal gains, with a gradient to purple for late gains. The size of each chart is proportional to the recurrence of this event. Abbreviations for each cancer type are defined in Supplementary Table 1. d, Heat maps representing molecular timing estimates of gains on different chromosome arms (x axis) for individual samples (y axis) for selected tumour types. e, Temporal patterns of two near-diploid cases illustrating synchronous gains (top) and asynchronous gains (bottom). f, Left, distribution of synchronous and asynchronous gain patterns across samples, split by WGD status. Uninformative samples have too few or too small gains for accurate timing. Right, the enrichment of synchronous gains in near-diploid samples is shown by systematic permutation tests. g, Proportion of copy number segments (n = 90,387) with secondary gains. Error bars denote 95% credible intervals. ND, near diploid. h, Distribution of the relative latency of n = 824 secondary gains with available timing information, scaled to the time after the first gain and aggregated per chromosome.

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The ratio of duplicated to non-duplicated mutations within a gained region can be used to estimate the time point when the gain happened during clonal evolution, referred to here as molecular time, which measures the time of occurrence relative to the total number of (clonal) mutations. For example, there would be few, if any, co-amplified early clonal mutations if the gain had occurred right after fertilization, whereas a gain that happened towards the end of clonal tumour evolution would contain many duplicated mutations14 (Fig. 1a, Methods).

These analyses are illustrated in Fig. 1b. As expected, the variant allele frequencies (VAFs) of somatic point mutations cluster around the values imposed by the purity of the sample, local copy number configuration and identified subclonal populations. The depicted clear cell renal cell carcinoma has gained chromosome arm 5q at an early molecular time as part of an unbalanced translocation t(3p;5q), which confirms the notion that this lesion often occurs in adolescence in this cancer type16. At a later time point, the sample underwent a whole genome duplication (WGD) event, duplicating all alleles, including the derivative chromosome, in a single event, as evidenced by the mutation time estimates of all copy number gains clustering around a single time point, independently of the exact copy number state.

Timing patterns of copy number gains

To systematically examine the mutational timing of chromosomal gains throughout the evolution of tumours in the PCAWG dataset, we applied this analysis to the 2,116 samples with copy number gains suitable for timing (Supplementary Information). We find that chromosomal gains occur across a wide range of molecular times (median molecular time 0.60, interquartile range (IQR) 0.10–0.87), with systematic differences between tumour types, whereas within tumour types, different chromosomes typically show similar distributions (Fig. 1c, Extended Data Figs. 1, 2, Supplementary Information). In glioblastoma and medulloblastoma, a substantial fraction of gains occurs early in molecular time. By contrast, in lung cancers, melanomas and papillary kidney cancers, gains arise towards the end of the molecular timescale. Most tumour types, including breast, ovarian and colorectal cancers, show relatively broad periods of chromosomal instability, indicating a very variable timing of gains across samples.

There are, however, certain tumour types with consistently early or late gains of specific chromosomal regions. Most pronounced is glioblastoma, in which 90% of tumours contain single copy gains of chromosome 7, 19 or 20 (Fig. 1c, d). Notably, these gains are consistently timed within the first 10% of molecular time, which suggests that they arise very early in a patient’s lifetime. In the case of trisomy 7, typically less than 3 out of 600 single nucleotide variants (SNVs) on the whole chromosome precede the gain (Extended Data Fig. 3a, b). On the basis of a mutation rate of µ = 4.8 × 10−10 to 3.0 × 10−9 SNVs per base pair per division25, this indicates that the trisomy occurs within the first 6–39 cell divisions, suggesting a possible early developmental origin, in agreement with somatic mosaicisms observed in the healthy brain26. Similarly, the duplications leading to isochromosome 17q in medulloblastoma are timed exceptionally early (Extended Data Fig. 3c, d).

Notably, we observed that gains in the same tumour often appear to occur at a similar molecular time, pointing towards punctuated bursts of copy number gains involving most gained segments (Fig. 1e). Although this is expected in tumours with WGD (Fig. 1b), it may seem surprising to observe synchronous gains in near-diploid tumours, particularly as only 6% of co-amplified chromosomal segments were linked by a direct inter-chromosomal structural variant. Still, synchronous gains are frequent, occurring in 57% (468 out of 815) of informative near-diploid tumours, 61% more frequently than expected by chance (P < 0.01, permutation test; Fig. 1f). Because most arm-level gains increment the allele-specific copy number by 1 (80–90%; Fig. 1g), it seems that these gains arise through mis-segregation of single copies during anaphase. This notion is further supported by the observation that in about 85% of segments with two gains of the same allele, the second gain appears with noticeable latency after the first (Fig. 1h). Therefore, the extensive chromosome-scale copy number aberrations observed in many cancer genomes are seemingly caused by a limited number of events—possibly by merotelic attachments of chromosomes to multipolar mitotic spindles27, or as a consequence of negative selection of individual aneuploidies28—offering an explanation for observations of punctuated evolution in breast and colorectal cancer29,30.

Timing of point mutations in driver genes

As outlined above, point mutations (SNVs and insertions and deletions (indels)) can be qualitatively assigned to different epochs, allowing the timing of driver mutations. Out of the 47 million point mutations in 2,583 unique samples, 22% were early clonal, 7% late clonal, 53% unspecified clonal and 17% subclonal (Fig. 2a). Among a panel of 453 cancer driver genes, 5,913 oncogenic point mutations were identified4, of which 29% were early clonal, 5% late clonal, 56% unspecified clonal and 8% subclonal. It thus emerges that common drivers are enriched in the early clonal and unspecified clonal categories and depleted in the late clonal and subclonal ones, indicating a preferential early timing (Fig. 2b). For example, driver mutations in TP53 and KRAS are 12 and 8 times enriched in early clonal stages, respectively. For TP53, this trend is independent of tumour type (Fig. 2c). Mutations in PIK3CA are two times more frequently clonal than expected, and non-coding changes near the TERT gene are three times more frequently early clonal.

Fig. 2: Timing of point mutations shows that recurrent driver gene mutations occur early.
figure 2

a, Top, distribution of point mutations over different mutation periods in n = 2,778 samples. Middle, timing distribution of driver mutations in the 50 most recurrent lesions across n = 2,583 white listed samples from unique donors. Bottom, distribution of driver mutations across cancer types; colour as defined in the inset. b, Relative timing of the 50 most recurrent driver lesions, calculated as the odds ratio of early versus late clonal driver mutations versus background, or clonal versus subclonal. Error bars denote 95% confidence intervals derived from bootstrap resampling. Odds ratios overlapping 1 in less than 5% of bootstrap samples are considered significant (coloured). The underlying number of samples with a given mutation is shown in a. c, Relative timing of TP53 mutations across cancer types, as in b. The number of samples is defined in the x-axis labels. d, Estimated number of unique lesions (genes) contributing 50% of all driver mutations in different timing epochs across n = 2,583 unique samples, containing n = 5,756 driver mutations with available timing information. Error bars denote the range between 0 and 1 pseudocounts; bars denote the average of the two values. NA, not applicable; NS, not significant.

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Aggregating the clonal status of all driver point mutations over time reveals an increased diversity of driver genes mutated at later stages of tumour development: 50% of all early clonal driver mutations occur in just 9 genes, whereas 50% of late and subclonal mutations occur in approximately 35 different genes each, a nearly fourfold increase (Fig. 2d). Consistent with previous studies of individual tumour types31,32,33,34, these results suggest that, in general, the very early events in cancer evolution occur in a constrained set of common drivers, and a more diverse array of drivers is involved in late tumour development.

Relative timing of somatic driver events

Although timing estimates of individual events reflect evolutionary periods that differ from one sample to another, they define in part the order in which driver mutations and copy number alterations have occurred in each sample (Fig. 3a–d). As confirmed by simulations, aggregating these orderings across samples defines a probabilistic ranking of lesions (Fig. 3a), recapitulating whether each mutation occurs preferentially early or late during tumour evolution (Extended Data Figs. 4, 5, Supplementary Information).

Fig. 3: Aggregating single-sample ordering reveals typical timing of driver mutations.
figure 3

a, Schematic representation of the ordering process. bd, Examples of individual patient trajectories (partial ordering relationships), the constituent data for the ordering model process. eg, Preferential ordering diagrams for colorectal adenocarcinoma (ColoRect–AdenoCA) (e), pancreatic neuroendocrine cancer (Panc–Endocrine) (f) and glioblastoma (CNS–GBM) (g). Probability distributions show the uncertainty of timing for specific events in the cohort. Events with odds above 10 (either earlier or later) are highlighted. The prevalence of the event type in the cohort is displayed as a bar plot on the right.

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In colorectal adenocarcinoma, for example, we find APC mutations to have the highest odds of occurring early, followed by KRAS, loss of 17p and TP53, and SMAD4 (Fig. 3b, e). Whole-genome duplications occur after tumours have accumulated several driver mutations, and many chromosomal gains and losses are typically late. These results are in agreement with the classical APC-KRAS-TP53 progression model of Fearon and Vogelstein35, but add considerable detail.

In many cancer types, the sequence of events during cancer progression has not previously been determined in detail. For example, in pancreatic neuroendocrine cancers, we find that many chromosomal losses, including those of chromosomes 2, 6, 11 and 16, are among the earliest events, followed by driver mutations in MEN1 and DAXX (Fig. 3c, f). WGD events occur later, after many of these tumours have reached a pseudo-haploid state due to widespread chromosomal losses. In glioblastoma, we find that the loss of chromosome 10, and driver mutations in TP53 and EGFR are very early, often preceding early gains of chromosomes 7, 19 and 20 (Fig. 3d, g). Mutations in the TERT promoter tend to occur at early to intermediate time points, whereas other driver mutations and copy number changes tend to be later events.

Across cancer types, we typically find TP53 mutations among the earliest events, as well as losses of chromosome 17 (Supplementary Information). WGD events usually have an intermediate ranking, and most copy number changes occur later. Losses typically precede gains, and consistent with the results above, common drivers typically occur before rare drivers.

Timing of mutational signatures

The cancer genome is shaped by various mutational processes over its lifetime, stemming from exogenous and cell-intrinsic DNA damage, and error-prone DNA replication, leaving behind characteristic mutational spectra, termed mutational signatures24,36. Stratifying mutations by their clonal allelic status, we find evidence for a changing mutational spectrum between early and late clonal time points in 29% (530 out of 1,852) of informative samples (P < 0.05, Bonferroni-adjusted likelihood-ratio test), typically changing the spectrum by 19% (median absolute difference; range 4–66%) (Fig. 4a, b, Extended Data Fig. 6). Similarly, 30% of informative samples (729 out of 2,387) displayed changes of their mutation spectrum between the clonal and subclonal state, with median difference of 21% (range 3–72%). Combined, the mutation spectrum changes throughout tumour evolution in 40% of samples (1,069 out of 2,688).

Fig. 4: Dynamic mutational processes during early and late clonal tumour evolution.
figure 4

a, Example of tumours with substantial changes between mutation spectra of early (left) and late (right) clonal time points. The attribution of mutations to the most characteristic signatures are shown. b, Example of clonal-to-subclonal mutation spectrum change. c, Fold changes between relative proportions of early and late clonal mutations attributed to individual mutational signatures. Points are coloured by tissue type. Data are shown for samples (n = 530) with measurable changes in their overall mutation spectra and restricted to signatures active in at least 10 samples. Box plots demarcate the first and third quartiles of the distribution, with the median shown in the centre and whiskers covering data within 1.5× the IQR from the box. d, Fold changes between clonal and subclonal periods in samples (n = 729) with measurable changes in their mutation spectra, analogous to c.

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To quantify whether the observed temporal changes can be attributed to known and suspected mutational processes, we decomposed the mutational spectra at each time point into a catalogue of 57 mutational signatures, including double base substitution and indel signatures24 (Methods).

In general, these mutational signatures display a predominantly undirected temporal variability over several orders of magnitude (Fig. 4c, d, Extended Data Fig. 7). In addition, several signatures demonstrate distinct temporal trends. As one may expect, signatures of exogenous mutagens are predominantly active in the early clonal stages of tumorigenesis. These include tobacco smoking in lung adenocarcinoma (signature SBS4, median fold change 0.43, IQR 0.31–0.72), consistent with previous reports37,38, and ultraviolet light exposure in melanoma (SBS7; median fold change 0.16, IQR 0.09–0.43). Another strong decrease over time is found for a signature of unknown aetiology, SBS12, which acts mostly in liver cancers (median fold change 0.22, IQR 0.06–0.41). In chronic lymphoid leukaemia, there was a 20-fold relative decrease in mutations associated with somatic hypermutation (SBS9; median fold change 0.05, IQR 0.02–0.43) from clonal to subclonal stages.

Some mutational processes tend to increase throughout cancer evolution. For example, we see that APOBEC mutagenesis (SBS2 and SBS13) increases in many cancer types from the early to late clonal stages (median fold change 2.0, IQR 0.8–3.6), as does a newly described signature SBS38 (median fold 3.6, IQR 1.8–11). Signatures of defective mismatch repair (SBS6, 14, 15, 20, 21, 26 and 44) increase from clonal to subclonal stages (median fold 1.8, IQR 1.2–3.0).

Chronological time estimates

The molecular timing data presented above do not measure the occurrence of events in chronological time. If the rate at which mutations are acquired per year in each sample was constant, the chronological time would simply be the product of the estimated molecular timing and age at diagnosis. However, this relation will be nonlinear if the mutation rate changes over time, and is inflated by acquired mutational processes, as suggested by the analysis in the previous section. Some of these issues can be mitigated by counting only mutations contributed by endogenous and less variable mutational processes, such as CpG-to-TpG mutations (hereafter CpG>TpG) caused by spontaneous deamination of 5-methyl-cytosine to thymine at CpG dinucleotides, which have been proposed as a molecular clock12. Our supplementary analysis suggests that, although the baseline CpG>TpG mutation rate in cancers is very close to that in normal cells, there appears to be a moderate increase (1–10 times, adding between 20 and 40% of mutations) in cancers (Extended Data Fig. 8). As this shifts chronological timing estimates, we model different scenarios of the evolution of the CpG>TpG mutation rate (Fig. 5a).

Fig. 5: Approximate chronological timing inference suggests a timescale of cancer evolution of several years.
figure 5

a, Mapping of molecular timing estimates to chronological time under different scenarios of increases in the CpG>TpG mutation rate. A greater increase before diagnosis indicates an inflation of the mutation timescale. b, Median latency between WGDs and the last detectable subclone before diagnosis under different scenarios of CpG>TpG mutation rate increases for n = 569 non-hypermutant cancers with at least 100 informative SNVs, low tumour in normal contamination and at least five samples per tumour histology. c, Median latency between the MRCA and the last detectable subclone before diagnosis for different CpG>TpG mutation rate changes in n = 1,921 non-hypermutant samples with low tumour in normal contamination and at least 5 cases per cancer type.

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Applying this logic to time WGDs, which yield sufficient numbers of CpG>TpG mutations, demonstrates that they occur several years and possibly even a decade or more before diagnosis in some cancer types, under a range of scenarios of mutation rate increase (Fig. 5b, Extended Data Fig. 9). A notable example is ovarian adenocarcinoma, which appears to have a median latency of more than 10 years. This holds true even under a scenario of a CpG>TpG rate increase of 20-fold, which would be far beyond the 7.5-fold rate increase observed in matched primary and relapse samples39 (Extended Data Fig. 8f). Notably, these results suggest WGD may occur throughout the entire female reproductive life (Extended Data Fig. 9b). The latency between the MRCA and the last detectable subclone is shorter, typically several months to years (Fig. 5c).

These timescales of cancer evolution are further supported by the fact that progression of most known precancerous lesions to carcinomas usually spans many years, if not decades40,41,42,43,44,45. Our data corroborate these timescales and extend them to cancer types without detectable premalignant conditions, raising the hope that these tumours could also be detected in less malignant stages.


To our knowledge, our study presents the first large-scale genome-wide reconstruction of the evolutionary history of cancers, reconstructing both early (pre-cancer) and later stages of 38 cancer types. This is facilitated by the timing of copy number gains relative to all other events in the genome, through multiplicity and clonal status of co-amplified point mutations. However, several limitations exist (Supplementary Information). Perhaps most importantly, molecular timing is based on point mutations and is therefore subject to changes in mutation rate. Notably, healthy tissues acquire point mutations at rates not too dissimilar from those seen in cancers, particularly when considering only endogenous mutational processes, and furthermore, some tissues are riddled with microscopic clonal expansions of driver gene mutations5,6,7,8,9,11. This is direct evidence that the life history of almost every cell in the human body, including those that develop into cancer, is driven by somatic evolution.

Together, the data presented here enable us to draw approximate timelines summarizing the typical evolutionary history of each cancer type (Fig. 6, Supplementary Information for all other cancer types). These make use of the qualitative timing of point mutations and copy number alterations, as well as signature activities, which can be interleaved with the chronological estimates of WGD and the appearance of the MRCA.

Fig. 6: Typical timelines of tumour development.
figure 6

ad, Timelines representing the length of time, in years, between the fertilized egg and the median age of diagnosis for colorectal adenocarcinoma (a), squamous cell lung cancer (b), ovarian adenocarcinoma (c) and pancreatic adenocarcinoma (d). Real-time estimates for major events, such as WGD and the emergence of the MRCA, are used to define early, variable, late and subclonal stages of tumour evolution approximately in chronological time. The range of chronological time estimates according to varying clock mutation acceleration rates is shown as well, with tick marks corresponding to 1×, 2.5×, 5×, 7.5×, 10× and 20×. Driver mutations and copy number alterations (CNA) are shown in each stage according to their preferential timing, as defined by relative ordering. Mutational signatures (Sigs) that, on average, change over the course of tumour evolution, or are substantially active but not changing, are shown in the epoch in which their activity is greatest. DBS, double base substitution; SBS, single base substitutions. Where applicable, lesions with a known timing from the literature are annotated; dagger symbols denotes events that were found to have a different timing; asterisk symbol denotes events that agree with our timing.

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It is remarkable that the evolution of practically all cancers displays some level of order, which agrees very well with, and adds much detail to, established models of cancer progression35,46. For example, TP53 with accompanying 17p deletion is one of the most frequent initiating mutations in a variety of cancers, including ovarian cancer, in which it is the hallmark of its precancerous precursor lesions47. Furthermore, the list of typically early drivers includes most other highly recurrent cancer genes, such as KRAS, TERT and CDKN2A, indicating a preferred role in early and possibly even pre-cancer evolution. This initially constrained set of genes broadens at later stages of cancer development, suggesting an epistatic fitness landscape canalizing the first steps of cancer evolution. Over time, as tumours evolve, they follow increasingly diverse paths driven by individually rare driver mutations, and by copy number alternations. However, none of these trends is absolute, and the evolutionary paths of individual tumours are highly variable, showing that cancer evolution follows trends, but is far from deterministic.

Our study sheds light on the typical timescales of in vivo tumour development, with initial driver events seemingly occurring up to decades before diagnosis, demonstrating how cancer genomes are shaped by a lifelong process of somatic evolution, with fluid boundaries between normal ageing processes5,6,7,8,9,10,11 and cancer evolution. Nevertheless, the presence of genetic aberrations with such long latency raises hopes that aberrant clones could be detected early, before reaching their full malignant potential.



The PCAWG series consists of 2,778 tumour samples (2,703 white listed, 75 grey listed) from 2,658 donors. All samples in this dataset underwent whole-genome sequencing (minimum average coverage 30× in the tumour, 25× in the matched normal samples), and were processed with a set of project-specific pipelines for alignment, variant calling, and quality control4. Copy number calls were established by combining the output of six individual callers into a consensus using a multi-tier approach, resulting in a copy number profile, a purity and ploidy value and whether the tumour has undergone a WGD (Supplementary Information). Consensus subclonal architectures have been obtained by integrating the output of 11 subclonal reconstruction callers, after which all SNVs, indels and structural variants are assigned to a mutation cluster using the MutationTimer.R approach (Supplementary Information). Driver calls have been defined by the PCAWG Driver Working Group4, and mutational signatures are defined by the PCAWG Signatures Working Group24. A more detailed description can be found in Supplementary Information, section 1.

Data accrual was based on sequencing experiments performed by individual member groups of the ICGC and TCGA, as described in an associated study4. As this is a meta-analysis of existing data, power calculations were not performed and the investigators were not blinded to cancer diagnoses.

Timing of gains

We used three related approaches to calculate the timing of copy number gains (see Supplementary Information, section 2). In brief, the common feature is that the expected VAF of a mutation (E) is related to the underlying number of alleles carrying a mutation according to the formula: E[X] = nmfρ/[N (1 − ρ) + ], in which X is the number of reads, n denotes the coverage of the locus, the mutation copy number m is the number of alleles carrying the mutation (which is usually inferred), f is the frequency of the clone carrying the given mutation (f = 1 for clonal mutations). N is the normal copy number (2 on autosomes, 1 or 2 for chromosome X and 0 or 1 for chromosome Y), C is the total copy number of the tumour, and ρ is the purity of the sample.

The number of mutations nm at each allelic copy number m then informs about the time when the gain has occurred. The basic formulae for timing each gain are, depending on the copy number configuration:


in which 2 + 1 refers to major and minor copy number of 2 and 1, respectively. Methods differ slightly in how the number of mutations present on each allele are calculated and how uncertainty is handled (Supplementary Information).

Timing of mutations

The mutation copy number m and the clonal frequency f is calculated according to the principles indicated above. Details can be found in Supplementary Information, section 2. Mutations with f = 1 are denoted as ‘clonal’, and mutations with f < 1 as ‘subclonal’. Mutations with f = 1 and m > 1 are denoted as ‘early clonal’ (co-amplified). In cases with f = 1, m = 1 and C > 2, mutations were annotated as ‘late clonal’, if the minor copy number was 0, otherwise ‘clonal’ (unspecified).

Timing of driver mutations

A catalogue of driver point mutations (SNVs and indels) was provided by the PCAWG Drivers and Functional Interpretation Group4. The timing category was calculated as above. From the four timing categories, the odds ratios of early/late clonal and clonal (early, late or unspecified clonal)/subclonal were calculated for driver mutations against the distribution of all other mutations present in fragments with the same copy number composition in the samples with each particular driver. The background distribution of these odds ratios was assessed with 1,000 bootstraps (Supplementary Information, section 4.1).

Integrative timing

For each pair of driver point mutations and recurrent copy number alterations, an ordering was established (earlier, later or unspecified). The information underlying this decision was derived from the timing of each driver point mutation, as well as from the timing status of clonal and subclonal copy number segments. These tables were aggregated across all samples and a sports statistics model was employed to calculate the overall ranking of driver mutations. A full description is given in Supplementary Information, section 4.2.

Timing of mutational signatures

Mutational trinucleotide substitution signatures, as defined by the PCAWG Mutational Signatures Working Group24, were fit to samples with observed signature activity, after splitting point mutations into either of the four epochs. A likelihood ratio test based on the multinomial distribution was used to test for differences in the mutation spectra between time points. Time-resolved exposures were calculated using non-negative linear least squares. Full details are given in Supplementary Information, section 5.

Real-time estimation of WGD and MRCA

CpG>TpG mutations were counted in an NpCpG context, except for skin–melanoma, in which CpCpG and TpCpG were excluded owing to the overlapping UV mutation spectrum. For visual comparison, the number of mutations was scaled to the effective genome size, defined as the 1/mean(mi/Ci), in which mi is the estimated number of allelic copies of each mutation, and Ci is the total copy number at that locus, thereby scaling to the final copy number and the time of change.

A hierarchical Bayesian linear regression was fit to relate the age at diagnosis to the scaled number of mutations, ensuring positive slope and intercept through a shared gamma distribution across cancer types.

For tumours with several time points, the set of mutations shared between diagnosis and relapse (nD) and those specific to the relapse (nR) was calculated. The rate acceleration was calculated as: a = nR/nD × tD/tR. This analysis was performed separately for all substitutions and for CpG>TpG mutations.

On the basis of these analyses, a typical increase of 5× for most cancer types was chosen, with a lower value of 2.5× for brain cancers and a value of 7.5× for ovarian cancer.

The correction for transforming an estimate of a copy number gain in mutation time into chronological time depends not only on the rate acceleration, but also on the time at which this acceleration occurred. As this is generally unknown, we performed Monte Carlo simulations of rate accelerations spanning an interval of 15 years before diagnosis, corresponding roughly to 25% of time for a diagnosis at 60 years of age, noting that a 5× rate increase over this duration yields an offset of about 33% of mutations, compatible with our data. Subclonal mutations were assumed to occur at full acceleration. The proportion of subclonal mutations was divided by the number of identified subclones, thus conservatively assuming branching evolution. Full details are given in Supplementary Information, section 6.

Cancer timelines

The results from each of the different timing analyses are combined in timelines of cancer evolution for each tumour type (Fig. 6 and Supplementary Information). Each timeline begins at the fertilized egg, and spans up to the median age of diagnosis within each cohort. Real-time estimates for WGD and the MRCA act as anchor points, allowing us to roughly map the four broadly defined time periods (early clonal, intermediate, late clonal and subclonal) to chronological time during a patient’s lifespan. Specific driver mutations or copy number alterations can be placed within each of these time frames based on their ordering from the league model analysis. Signatures are shown if they typically change over time (95% confidence intervals of mean change not overlapping 0), and if they are strongly active (contributing at least 10% mutations to one time point). Signatures are shown on the timeline in the epoch of their greatest activity. Where an event found in our study has a known timing in the literature, the agreement is annotated on the timeline; with an asterisk denoting an agreed timing, and dagger symbol denoting a timing that is different to our results. Full details are given in Supplementary Information, section 7.

Reporting summary

Further information on research design is available in the Nature Research Reporting Summary linked to this paper.