Tarting points to assess convergence within two Emixustat (hydrochloride) custom synthesis Likelihood units of the best tree, which was consistently selected. The parameters of partition were allowed to vary independently under the GTRGAMMA model of evolution as implemented in RAxML. ML nodal support was calculated by analysing 1000 bootstrap replicates. The best-scoring ML tree was used for tests of positive selection (see 
below).Tests for positive selectionPositive, neutral, or purifying selection at the molecular level can be inferred by comparing 1676428 rates of non-synonymous (dN) and synonymous (dS) mutations along a phylogenetic tree [33]. Under neutrality, the two rates are expected to be equal (dN/dS = 1), while purifying (negative) or adaptive (positive) selection is expected to deflate (dN/dS,1) or inflate (dN/dS.1) this ratio, respectively. One can use likelihood ratio tests to detect positive selection that affects only a subset of codons in a protein-coding gene, with positive selection indicated by accelerated nonsynonymous substitutions. Models assuming positive selection along all phylogeny or prespecified branches only (e.g. C4 lineages in our case) can be employed within Phylogenetic Analysis by Maximum Likelihood (PAML) framework [33]. We used the codeml program in the PAML v.4.4 package [33] to estimate dN/dS ratio in the model M0, that allows for a single dN/ dS value across the whole phylogenetic tree obtained previously (see Phylogenetic analyses section). Further, codeml was used to perform likelihood ratio tests (LRTs) for positive selection among aminoRubisco Evolution in C4 Eudicots0.01 Polycnemum perenneNitrophila occidentalis Hemichroa diandra Bosea yervamoraCharpentiera ovata Charpentiera obovata Deeringia amaranthoides5178 89 100Hermbstaedtia glauca Celosia trigyna Celosia argentea Chamissoa altissima100 90Amaranthus greggii Amaranthus tricolorAmaranthus blitum Amaranthus hypochondriacus Ptilotus manglesii Pupalia lappacea63Calicorema capitata Pandiaka angustifolia Sericostachys scandens Achyranthes aspera Nototrichium humile Aerva javanica Iresine palmeri96Gomphrena elegans Pseudoplantago friesii Hebanthe occidentalis Blutaparon vermiculare93 73100Guilleminea densa Gomphrena serrata Gomphrena haageana Tidestromia lanuginosa74 100Alternanthera pungens Alternanthera caracasana Alternanthera repens Oreobliton thesioides Beta vulgaris Beta nana Hablitzia tamnoides100 56 81Aphanisma blitoides Patellifolia patellaris Teloxys aristata60 94 78 62Suckleya suckleyana Cycloloma atriplicifolium Chenopodium botrys Chenopodium ambrosioidesChenopodium cristatum Dysphania glomulifera Chenopodium bonushenricus Chenopodium foliosum Monolepis nuttalliana Spinacia oleracea Axyris prostrata97Ceratocarpus arenarius Krascheninnikovia ceratoides Chenopodium coronopus Microgynoecium tibeticumEinadia nutans Rhagodia drummondi Chenopodium desertorum Chenopodium auricomum Micromonolepis pusilla80 64 97Chenopodium frutescens Chenopodium acuminatum Chenopodium sanctaeclaraeChenopodium album Chenopodium murale Manochlamys albicans Archiatriplex nanpinensis Halimione pedunculata Halimione verrucifera Atriplex aucherii58Atriplex australasica Atriplex patula Atriplex halimus Cremnophyton PD-1/PD-L1 inhibitor 1 web lanfrancoi Atriplex coriacea Atriplex glauca61 53Atriplex centralasiatica Atriplex spongiosa Atriplex rosea Atriplex lentiformis Atriplex lampa Atriplex undulata Atriplex parryi Atriplex powellii Atriplex phyllostegia Atriplex serenana Acroglochin chenopodioides Agriophyllum squarrosum92Corispermum fili.Tarting points to assess convergence within two likelihood units of the best 
tree, which was consistently selected. The parameters of partition were allowed to vary independently under the GTRGAMMA model of evolution as implemented in RAxML. ML nodal support was calculated by analysing 1000 bootstrap replicates. The best-scoring ML tree was used for tests of positive selection (see below).Tests for positive selectionPositive, neutral, or purifying selection at the molecular level can be inferred by comparing 1676428 rates of non-synonymous (dN) and synonymous (dS) mutations along a phylogenetic tree [33]. Under neutrality, the two rates are expected to be equal (dN/dS = 1), while purifying (negative) or adaptive (positive) selection is expected to deflate (dN/dS,1) or inflate (dN/dS.1) this ratio, respectively. One can use likelihood ratio tests to detect positive selection that affects only a subset of codons in a protein-coding gene, with positive selection indicated by accelerated nonsynonymous substitutions. Models assuming positive selection along all phylogeny or prespecified branches only (e.g. C4 lineages in our case) can be employed within Phylogenetic Analysis by Maximum Likelihood (PAML) framework [33]. We used the codeml program in the PAML v.4.4 package [33] to estimate dN/dS ratio in the model M0, that allows for a single dN/ dS value across the whole phylogenetic tree obtained previously (see Phylogenetic analyses section). Further, codeml was used to perform likelihood ratio tests (LRTs) for positive selection among aminoRubisco Evolution in C4 Eudicots0.01 Polycnemum perenneNitrophila occidentalis Hemichroa diandra Bosea yervamoraCharpentiera ovata Charpentiera obovata Deeringia amaranthoides5178 89 100Hermbstaedtia glauca Celosia trigyna Celosia argentea Chamissoa altissima100 90Amaranthus greggii Amaranthus tricolorAmaranthus blitum Amaranthus hypochondriacus Ptilotus manglesii Pupalia lappacea63Calicorema capitata Pandiaka angustifolia Sericostachys scandens Achyranthes aspera Nototrichium humile Aerva javanica Iresine palmeri96Gomphrena elegans Pseudoplantago friesii Hebanthe occidentalis Blutaparon vermiculare93 73100Guilleminea densa Gomphrena serrata Gomphrena haageana Tidestromia lanuginosa74 100Alternanthera pungens Alternanthera caracasana Alternanthera repens Oreobliton thesioides Beta vulgaris Beta nana Hablitzia tamnoides100 56 81Aphanisma blitoides Patellifolia patellaris Teloxys aristata60 94 78 62Suckleya suckleyana Cycloloma atriplicifolium Chenopodium botrys Chenopodium ambrosioidesChenopodium cristatum Dysphania glomulifera Chenopodium bonushenricus Chenopodium foliosum Monolepis nuttalliana Spinacia oleracea Axyris prostrata97Ceratocarpus arenarius Krascheninnikovia ceratoides Chenopodium coronopus Microgynoecium tibeticumEinadia nutans Rhagodia drummondi Chenopodium desertorum Chenopodium auricomum Micromonolepis pusilla80 64 97Chenopodium frutescens Chenopodium acuminatum Chenopodium sanctaeclaraeChenopodium album Chenopodium murale Manochlamys albicans Archiatriplex nanpinensis Halimione pedunculata Halimione verrucifera Atriplex aucherii58Atriplex australasica Atriplex patula Atriplex halimus Cremnophyton lanfrancoi Atriplex coriacea Atriplex glauca61 53Atriplex centralasiatica Atriplex spongiosa Atriplex rosea Atriplex lentiformis Atriplex lampa Atriplex undulata Atriplex parryi Atriplex powellii Atriplex phyllostegia Atriplex serenana Acroglochin chenopodioides Agriophyllum squarrosum92Corispermum fili.