‘ 3... .227. z .. .. .tvhllflmlbr v. £11.. a. dc. 47.1. p ‘ .. :25. r. 2.“. fiWffiumwéw. . .... airshflv. ' , , .‘A. i I. :V.‘ .. 11 n . .. '3’...” zcfluleha.l1. PItSHN‘... I 13.0HArinuMNDaulh’. %*O.l|lvlna . . .3299 J I “A. .1“; v37: 33!. ‘ v i .... I. [HM . .1. .On’; X ‘ .1 ‘4” a < ... .él. «I, .|| .11: In. 3“ ill; fi Ernet‘vivnl . Kali...) inunnfi . 1.1. | . .13!!! I (‘96.; ’53:. rattan... 0|. ( E (-11"): . )1..i$ “all" .iiltsr’tablfV. , I.'.’ I}; Stillman-5"}: TAM" ~ I! v. - .fflafiIlff ”tun" ‘5? V on ‘1. ”I If \hc ‘ flan" f1: )- ilLbII .r E" I)!!!“- .Il-ObI.. I :; lTYLlB Illilllfllllllllflllflllllltl\llllllllll'llll 3 1293 02058 6461 ’7 pk This is to certify that the dissertation entitled Rarity and the Phylogeography of the Large-Flowered Piptolobi of Astragalus L. (Fabaceae) presented by Jeffrey Wellington White has been accepted towards fulfillment of the requirements for Ph.D. dualdegree in Botany and Plant Pathology, and Ecology, Evolution, and Behavioral Biology . \1 Major professor Date 33.5.14, WM MSU i: an Affirmative Action/Equal Opportunity Institution 0-12771 LlBRARY Michigan State _, University PLACE IN RETURN Box to remove this checkout from your record. TO AVOID FINES return on or before date due. MAY BE RECALLED with earlier due date if requested. DATE DUE DATE DUE DATE DUE 11/00 chlRC/DdeOupfiS-ou RARITY AND THE PHYLOGEOGRAPHY OF THE LARGE-FLOWERED PIPTOLOBI OF ASTRAGALUS L. (FABACEAE) By Jeffrey Wellington White A DISSERTATION Submitted to Michigan State University in partial fulfillment of the requirements for the degree of DOCTOR OF PHILOSOPHY Department of Botany and Plant Pathology 1999 of L' lhiCI area ABSTRACT RARITY AND THE PHYLOGEOGRAPHY OF THE LARGE-FLOWERED PIPTOLOBI OF ASTRAGALUS L. (FABACEAE) By Jeffrey Wellington White Phylogenetic patterns of rarity were explored using a case study group of 51 species of the Large-flowered Piptolobi of Astragalus (Fabaceae). The study was divided into three parts: elucidation of a species level phylogeny, quantification of range sizes using areas of occupancy, and assessment of patterns of rarity in the phylogeny. A morphological cladistic analysis uncovered a highly resolved phylogeny that corresponds well with previous taxonomic work. The Argophyllean clade consisting of 47 species was identified and used in part three. Areas of occupancy using nine measurement scales (10 to 2560 km) were quantified using a procedure developed to eliminate sampling error associated with standard methods. The program "Minimum Cell Count" searched for minimum areas of occupancy among potential measurement grid placements. Categories of rarity using generally accepted criteria were assigned to each species. Assessment of the fractal properties of each species' distribution revealed that they are generally not fractal. Measurement scale significantly affected rank ordering of species. Phylogenetic patterns of rarity in the Argophyllean clade of Astragalus were assessed using three lines of evidence aimed to address the main hypothesis: Namely, that high rates of diversification in concert with local speciation is associated with rare species clustering in the phylogeny and a preponderance of newly derived rare species. Significant diversification rate variation within the clade was established based a tree asymmetry tests. Two tests were conducted to assess patterns of rarity after range size quantities and rare categories were mapped onto the phylogeny. Rarity is not a phylu- [CSIS ‘ differ sped: are rr. amor- distri‘ phylogenetic trait, thus standard comparative methods were not employed; instead, new tests were developed. Phylogenetic clustering of rare was tested by employing a Mantel randomization procedure using matrix values for topological distance among species, and differences in their log area of occupancy. The null hypothesis, that there is no association among matrix values (thus no clustering), was not rejected (p=.089) but results point toward evidence of clustering. A Monte-Carlo procedure that randomized species placement on the phylogeny was employed to test the hypothesis that rare species are more newly derived than expected by chance. The count of 11 rare species found among the 14 terminal pairs of species was not significantly greater than the reference distribution's mean of 9.8 (p=.32). Copyright JEFFREY WELLINGTON WHITE 1 999 DEDICATION in memory of Richard B. Battelle Eighth-grade Science Teacher Mr. Battelle inspired enthusiasm about science and motivated many to aim for high levels of personal achievement. Mr. B. introduced me to botany and inspired my interest and commitment to teaching and to public schools. I wish contributii good advi Tom Gen) during a ti feedback 2 herbarium Tonsor. pl. Two 01 Murph} gr and some :2 Challenged him about ( Mike S,- A5”0.galus_ Mike Pens}; PTOVided Sui The Hei'ban' M} COm many days 21 gave 568mm Thank you \\ Fundmg \ Research Tm ACKNOWLEDGMENTS I wish to first thank my guidance committee members for their support and contributions. My advisor, Tao Sang, helped me distill my ideas and offered lots of good advice and constructive criticism. He was flexible and patient from the beginning. Tom Getty asked superb questions and took on a crucial role that supplied continuity during a time of rapid change. Jim Hancock consistently gave upbeat and constructive feedback and helped me understand subtleties within academe. Alan Prather furnished herbarium work space, computational facilities, and advice. My former advisor, Steve Tonsor, played a significant role during the early development of my dissertation work. Two other professors significantly contributed to my program and work. Peter Murphy graciously offered excellent advice on many occasions, much encouragement, and some exceptional opportunities. His support is greatly appreciated. Don Hall challenged me to think deeply and gave much needed support. I learned a great deal from him about ecology, evolution, and life. Also, thank you Gus de Zoeten. Mike Sanderson furnished data and shared his insights on the evolution of Astragalus. Rupert Bameby offered his gracious help during my visit to New York. Mike Penskar shared his rich understanding of rare plants. Marguerite Halversen provided superb editorial assistance and David Wisner gave expert programming help. The Herbarium staff at NY and RSA assisted during visits and with loans to MSC. My companion in life, Doreen, gave unending support, love, and tolerance of the many days and nights I spent on this work. Our two children, Nicolas and Anthony, gave seemingly endless smiles and always reminded me of what is most important in life. Thank you Wellington and Colleen White. Funding was provided in part by the Department of Botany and Plant Pathology, the Research Training Group at the Kellogg Biological Station, and the Ecology, Evolution, and Behavior Program—all of Michigan State University. vi (A) TABLE OF CONTENTS List of Tables List of Figures 1 A Brief Overview: Age, Area, and the Evolution of Rare Plants 1.1 INTRODUCTION 1.2 A BRIEF HISTORY OF RARITY CONCEPTS 1.3 SPATIAL A'I'I'RIBUTES OF RARE SPECIES 1.4 RARITY, AGE, AND EVOLUTIONARY HISTORY 1.5 A CASE STUDY OF RARITY FROM A PHYLOGENETIC PERSPECTIVE A Morphological Cladistic Study of the Large-Flowered Piptolobi of Astragalus L. 2.1 INTRODUCTION 2.2 METHODS 2.3 RESULTS 2.4 DISCUSSION Rarity and the Biogeography of the Large-Flowered Piptolobi of Astragalus L. 3.1 INTRODUCTION 3.2 STUDY SYSTEM AND METHODS 3.2.1 The Large-flowered Piptolobi of Astragalus 3.2.2 Data handling in the ArcView GIS environment 3.2.3 Minimum cell counts, area of occupancy, geographic extent, and fractal dimensions 3.2.4 Species richness 3.2.5 Categories of rarity used in this study vii ix 10 17 20 2 4 24 26 26 27 33 36 36 (A) Append; 136C163 AWendi Grldpoll Appencii; Mini-mun Littl’am TE TABLE OF CONTENTS continued 3.3 RESULTS 37 3.3.1 Fixed grid versus minimum cell counts 37 3.3.2 Geographic measures and resulting rare categories 37 3.3.3 Among scale comparisons 50 3.3.4 Fractal geometry of species distributions 50 3.3.5 Species richness 59 3.4 DISCUSSION 62 4 Phylogenetic Patterns of Rarity in the Argophyllean Clade of Astragalus L. 73 4.1 INTRODUCTION 73 4.2 METHODS 74 4.3 RESULTS 78 4.4 DISCUSSION 82 4.4.1 Basic findings 87 4.4.2 Implications of findings 92 4.4.3 Summary 96 Appendix A Species codes, Bameby numbers, A 10 rank, A rarity, and E rarity. 98 Appendix B GridPoly Avenue Program--ArcView GIS 3.): 99 Appendix C Minimum Cell Count Q-Basic Program 102 Literature Cited 104 viii 3.10 LIST OF TABLES 2 . 1 Species of Astragalus included in study 12 2 . 2 Characters and their states used in the cladistic analysis 13 2 . 3 Taxon by character data matrix 16 3 . 1 Scales, measurement areas, and number of grid cells used in this study 30 3 . 2 Comparison of fixed grid and minimized cell counts for Astragalus helleri 4O 3 . 3 Sites S, minimum cell counts C, and geographic extent E for each 41 specres 3 . 4 Spearman (Pearson) correlations among the three principal geographic 44 measures 3 . 5 Categories of rarity applied in this study 48 3 . 6 Species categorized by geographic extent E and area of occupancy A rarity 48 3 . 7 Spearman (Pearson) correlations among scales for areas of occupancy A 51 3 . 8 Sequential rank of species at each scale based on area of occupancy A 53 3 . 9 Fractal Dimensions D for each species between reference scales 56 3 . l 0 Lagilaction in species richness among cells for scales J = 10 km through 61 m A . 1 Species codes, Bameby numbers, A 10 rank, andA and E rarity 98 ix 310 3.11 312 3.13 MWNN Ni-‘N emhamai» «BMMMMUUUMWMMNUMM LIST OF FIGURES Strict consensus of 12 most parsimonious trees recovered A randomly chosen tree among the 12 most parsimonious trees Flow chart showing relations and sequences of data transformation Distribution of the Large-flowered Piptolobi of Astragalus on an "equal- area cylindric" map projection 320 km grid overlaying western North America Grids overlaying Utah Fixed grid cell count inflation compared to minimum cell counts The three sites of Astragalus helleri in Mexico Number of sites and minimum cell counts C10 Area of occupancy A 10 and Geographic extent E Log area of occupancy A 10 versus Log geographic extent E Location of rare and very rare species of the Lf-P Astragalus Pairwise Spearman correlations among scales Sequential rank changes across scale Scale-area curves Fractal dimensions across scales Utah species richness--80 km scale Utah species richness-40 km scale High species richness cells--40 & 80 km scales Phylogeny of the Argophyllean clade of Astragalus used for analysis in Chapter 4 Phylogeny of the Argophyllean clade of Astragalus with an example of one set of pairwise data used in the phylogenetic clustering test Phylogeny of the Argophyllean clade of Astragalus with positions of the 14 terminal pairs and the 17 rarest species 18 19 28 29 31 32 38 39 45 46 47 49 55 58 60 63 64 68 76 77 79 4.4 4.6 4.7 4.8 4.9 4.10 A Asymmetry tests of the 19 subclades within the Argophyllean clade of Astragalus Phylogeny of the Argophyllean clade of Astragalus with significantly asymmetrical subclades indicated Bivariate plot of the rarest species versus total species for each of the 46 subclades in the phylogeny Results of the phylogenetic clustering test: Area of occupancy A and intemode distance Results of the phylogenetic clustering test: Geographic extent E and intemode distance Number of the rarest species among terminal pair species Proportion of rare species within monophyletic groups related to the Argophyllean clade. xi 80 81 83 84 85 86 91 l.l 1 A Brief Overview: Age, Area, and the Evolution of Rare Plants 1.1 INTRODUCTION Humans are fascinated with rare things. In the case of organisms, an interest in rarity often corresponds with concern about their persistence, particularly when human activities are contributing to their decline. The majority of rare species, however, are probably rare largely for reasons unrelated to human activity. Given the general lack of understanding about natural causes of rarity, it is not surprising that biologists often have difficulty elucidating the factors leading to rare status. After more than a century of study, general theory regarding the causes and consequences of rarity is just beginning to coalesce. A few general traits are emerging that differentiate rare taxa from common species, including: 1) breeding systems that tend away from outcrossing and sexual reproduction; 2) lower reproductive investment; 3) more limited dispersal; 4) higher levels of homozygosity; and 5) a narrower scope of resource usage (Kunin and Gaston 1997). There are many exceptions to these traits, however. New methods and data are leading to new insights about the nature of biodiversity dynamics (McKinney and Drake 1998), a large umbrella under which studies of rarity are found. Rarity, here discussed as a biogeographic attribute, is most commonly measured in terms of range size (area), abundance (number/area), or numbers of populations or localities. Two general processes lead to rare status: demographic decline or incipient local speciation (such as via peripatric speciation or chromosomal rearrangements). Although these two processes are fundamentally different, they are nevertheless difficult to differentiate and may operate simultaneously. Rarity is not a genealogical trait like morphological traits, chromosome numbers, or DNA sequences. Rather, it is a demographic trait—an aggregate property of the species resulting from its genotype by environment interaction. During speciation events, rare status is not inherited by the derived species; however, traits correlated with biogeographic status may be heritable in some circumstances (Jablonski 1987). In light of the large number of rare plant species and the increasing number threatened with extinction, understanding the dynamics of their origins and their possible destinies has become more urgent. Indeed, the International Union for the Conservation of Nature’s (IUCN) recent publication of the 1997 Red List of Threatened Plants indicates that more than 33,000 plant species, representing 12.5% of all plant species, are threatened or extinct (Walter and Gillett 1998). Threatened status is given to species that are more vulnerable to extinction, generally because of declining numbers of individuals or populations through time. As a species approaches extinction, its degree of rarity increases. However, not all rare species are threatened; and although threatened and rare status are highly correlated, they are different attributes. Yet, these two notions are often used interchangeably, especially vulnerability or threat, as a proxy for rarity (Kunin and Gaston 1997). To understand the human role in biodiversity loss and to provide better means for mitigating the effects of human Biol CVOil Rafir belie‘ to set: new c Specie that ur pan of Plant 5; The Willis (_ CVolved SignlfiC (See Fig, will; in Which also Will. diminishe the debate Status {Or S yOUng 0r 0 activity, we need a better understanding of the similarities and differences of natural and human causes of rarity. 1.2 A BRIEF HISTORY OF RARITY CONCEPTS Biologists have conjectured about the nature of rarity since before the advent of evolutionary theory. The earliest scientific notions of rarity centered on species' age. Rafinesque (1836) held the view that rare species are young while Lyell (1830-33) believed that rare species are old. While then-current evolutionary theory provided little to settle the debate, it actually led to more complex debate because of the introduction of new concepts about speciation and extinction. Darwin (1872) settled on the view that rare species are heading toward extinction and are therefore old, although he understood the that underlying causes of rarity are complex and include many factors. During the first part of the twentieth century, reiterations of Darwin's notions about rarity and the age of plant species continued to prevail (Fiedler, 1986). The view that rare plant species are old and going extinct was forcefully challenged by Willis (1916) who, after studying the flora of Ceylon, argued that rare species are newly evolved. Willis set off a vigorous debate about rarity, the age of taxa, and evolution. Significant contributors to this debate included Ridley (1916), Femald (1918), and others (see Fiedler 1986). Willis (1922) expanded his theories about rarity in his treatise entitled Age and Area, in which he argued that the age of a species corresponds with its area or range size (see also Willis and Yule 1922). The controversy about Willis‘s concepts of "age and area" diminished several years later following Gleason's (1924 and 1926) pluralistic solution to the debate. Gleason argued that the area or range size of a species (and therefore rare status for some species) is in part a function of its age, and that rare species may be either young or old. Gleason's views on rarity and age have since prevailed. By new co was thc views 1 special distribi size an the hyp compet of Specj Othc‘ Cain (IS (1956,) n Durir Classifica age. Thei adOpted b; SPeCiation acknowled‘ making Son In the I! Spuned an 1- Net-em, e 165 had recehe Among [iste in 98 “move- march. 84' By the mid-twentieth century, the debate about rarity in plants broadened to include new contributions from genetics, cytology, speciation, and ecology. Stebbins (1942) was the most significant contributor during this period because of his synthesis of earlier views and his hypotheses concerning rarity that utilized new concepts in genetics, speciation theory and ecology. He also refined theoretical ideas about the geographical distributions of rare plants and, in doing so, described three rarity types based on range size and local abundance. Stebbins laid a groundwork of testable hypotheses, including the hypothesis that rare species are genetically depauperate or that they are poor competitors, which led to decades of research. Stebbins also acknowledged that the ages of species were difficult to determine. Others who contributed to discussion about rarity in plants during this period include Cain (1940, 1944), Griggs (1940), and Wulff (1943). Simpson (1953) and Wright (1956) made important contributions to general concepts of rarity. During the early 1960's, Favarger and Contandriopoulos (1961) proposed a new classification for causes of rarity based on cytological attributes, systematic position, and age. Their scheme provided new testable hypotheses about the origins of rarity and was adopted by Stebbins and Major (1965) in their important monograph on endemism and speciation in the California Flora. As was the case with earlier contributors, they acknowledged the limitations associated with determining the age of a species, thus making some aspects of Favarger and Contandriopoulos' hypotheses difficult to test. In the 1970's, the passage of the Endangered Species Act and the CITES Convention spurred an increase in protection efforts and studies of rare plants in the United States. Nevertheless, fewer than 370 threatened plant taxa, a small portion of the perceived total. had received federal listing by 1992 (Schemske, et. al. 1994; Walter and Gillett 1998). Among listed plants, Schemske, et. al. reviewed the research recommendations proposed in 98 recovery plans and found that 96% of the recommendations called for ecological research, 84% for demographic research, and 26% for population genetic research. For the last 1 ecologic hypothe rare spe< Exceptic et. el. 19 except v. Othe Fiedler( canbefo 1.3 S Central to measure a Willis if 19 Categon'eS: COmmon. ; location of Stebbm OVErajj fang forms of far; panfrns 0f 1" but 10cm), 3. for two axis Rablnou together wm the last several decades, studies of rarity have continued to focus almost entirely on ecological and population genetics factors. Many of the findings have confirmed earlier hypotheses about rarity while some refute them. For example, Stebbins's hypothesis that rare species are genetically less diverse than common species has often been supported. Exceptions have been found such as some members of the genus Astragalus (Karron et. el. 1988). Studies of rare plants usually do not isolate simple causes for their status, except when due to the direct effect of human activity. Other reviews of plant rarity can be found in Kruckeberg and Rabinowitz (1985), Fiedler (1986), and Fiedler and Ahouse (1992). An excellent general discussion of rarity can be found in Gaston (1994). 1.3 SPATIAL ATTRIBUTES OF RARE SPECES Central to the notion of rarity is a taxon's spatial distribution. Depending on the scale of measure and the criteria used, taxa that fall below a certain threshold are labeled "rare." Willis (1916), in his study of the flora of Ceylon, divided species into six range size categories: very rare; rare; somewhat rare; somewhat common; common; and very common. His unit of measure was the area derived by drawing a boundary around the location of collection sites. In effect he used range size for categorizing rarity. Stebbins (1942) noted that spatial patterns of rarity exist at multiple scales, including overall range size, number of populations, and local abundance, leading to different forms of rarity. In a very similar way, Drury (1974 and 1980) described three spatial patterns of rarity: geographically widespread but locally sparse; geographically restricted but locally abundant; and geographically restricted and locally sparse, which are derived for two axis of measure. Rabinowitz (1981) brought Stebbins's and Drury's spatial categories of rarity together with degree of habitat specificity in her "Seven forms of rarity," now the most fiequend) included i Perhaps tl biologists Local many of t number oi for measu species dis Maurer 19 Species be 1.4 R, SICbbins. i al-‘Iproacw the genetic COncemed. and/0r 8CD: imponifllCe RISCUr SPeCieg has eXlSIjng at 3 Some be 'OIc “Heme”, in reproducn-Or frequently cited classification system for rarity. Interestingly, the age of species was not included in her classification system despite years of discussion about its importance. Perhaps the frequency with which Rabinowitz's taxonomy of rarity is cited indicates the biologist's preference for attributes that can be studied directly, unlike age. Local abundance and range size are highly simplified categories that do not capture many of the dimensions of species' distribution, such as number of populations or the number of collecting localities, and are at two ends of a spectrum of spatial scales useful for measuring geographic distributions. Scales of measure employed during studies of species distribution great impact on the interpretation of data (Allen and Hoekstra 1992; Maurer 1999) and thus need to be carefully considered. This is particularly true with rare species because sampling errors are higher compared with more widespread species. 1.4 RARITY, AGE, AND EVOLUTIONARY HISTORY Stebbins, in 1980, again proposed a major synthesis on causes of rarity. His "synthetic approach" proposed that the study of rarity should take into account ecological factors, the genetic structure of populations, and the evolutionary history of the lineage(s) concerned. To date, nearly all empirical work on rarity has considered only ecological and/or genetic factors (for an exception, see Linder 1995) in spite of the recognized importance of species age toward understanding rare status. It is curious that few have acknowledged or realized that the whole idea of the age of a species has flaws. Indeed, in the words of G. G. Simpson (1953), . . all lineages existing at any one time are of precisely the same age, so how can some be 'young' and some be 'old'? Unless life has arisen in more than one period of Earth history, which is extremely improbable, all must necessarily have undergone the same span of continuous reproduction. " Thi species. differen number fossil re regardin from uh Phyl origins a history ir of rarity. l.5 A The centra diversificai Within mgr ClchmSIam the We 5pc. ramy may [1 This leads to important questions about previous authors' ideas about the age of a species. I conjecture that references to "age" have really been references to several different features of lineages, such as time since divergence from a common ancestor, the number of derived versus ancestral traits, and taxonomic distinctness. In the absence of a fossil record, phylogenetic estimation of evolutionary trees provides the best evidence regarding these age-like features. Phylogenetic studies also result in testable hypotheses from which future work can be gauged. Phylogenetic studies provide new perspectives toward better understanding the origins and destinies of rare plants. In heeding Stebbins call to include evolutionary history in studies of rarity, I undertook a study aimed at assessing phylogenetic patterns of rarity. 1.5 A CASE STUDY OF RARITY FROM A PHYLOGENETIC PERSPECTIVE The central hypothesis addressed by the case study described here is that high rates of diversification in concert with local speciation result in high proportions of rare species within monophyletic groups of species. The causes of rarity in a group these circumstances would be linked to the causes of diversification and thus would mean that the rare species would have common causes for their rare status. Phylogenetic patterns of rarity may thus result. The genus Astragalus was chosen as a study group because it has a number of useful attributes. More than 400 species have been described in North America, many of which are rare. The taxonomy of the group has been extensively revised, most recently by Bameby (1964), who spent nearly 25 years collecting and studying thousands of living and pressed herbarium specimens. His species concepts are well accepted and have been repeatedly upheld by more recent taxonomic and systematic work. His monograph contair study. was sei flouen case 511 Thi this dis, cladistic Astraga sections supponc- the merr. resolving In ch addresse< methods. 3) Which P 16011:? 4 Result dunnglhe Patterns 0f (hiring the ( include. 1 ’ contains data in sufficient detail for both phylogenetic and biogeographic aspects of study. The immense size of the genus precluded a comprehensive study, thus a subgroup was selected. Recent phylogenetic work has unveiled the monophyly of the Large- flowered Piptolobi (Lf-P) group with approximately 51 species and was used for this case study. This case study is presented in three parts corresponding to the next three chapters of this dissertation. The first part, presented in chapter 2, focuses on the morphological cladistic study that aimed to elucidate phylogenetic relations among the Lf-P of Astragalus. Questions addressed during this study include: 1) Is the monophyly of sections in Barneby's Large-flowered Piptolobi sub-phalanx (with a few modifications) supported using morphological data? 2) What are the species level relationships among the members of the group? and 3) What is the utility of morphological characters in resolving interspecific relationships in Astragalus.? In chapter 3, the biogeographic study of the UP group is presented. Questions addressed include: 1) How do range size measures compare when based on different methods of determination and different scales? 2 ) Are species distribution fractal? 3) Which species meet the rarity criteria used by the IUCN's 1997 Red List of Threatened Plants? 4) How do values of species richness compare based on differing measurement scales? and 5) Where are the most species rich areas? Results from the phylogenetic and biogeographic studies were combined and analyzed during the study presented in chapter 4. This third study aimed at assessing phylogenetic patterns of rarity in the Argophyllean clade of Astragalus, a monophyletic group identified during the cladistic study. Questions addressed in this third section of the case study include: 1) Is there evidence of diversification rate variation among lineages in the group? 2) Do rare species cluster in the phylogeny? 3) Are newly derived rare species more frequent than expected by chance? Finally, conclusions and a few speculations derived from all the results and the literature are offered. AM Larg The gfinus ”Ch ECnus The Nonh SlUdied b}. STUdieg dun as Well as ll The firs designed to about relam the monoph: ge‘flowe 1W0 limitaiio Size of the dr; 2 A Morphological Cladistic Study of the Large-Flowered Piptolobi of Astragalus L. (Fabaceae) 2.1 INTRODUCTION The genus Astragalus includes more than 2500 species and is known as the most species rich genus within the Angiosperms (Sanderson and Wojciechowski 1996; Liston 1994). The North American species number approximately 400 and have been extensively studied by four monographers, most recently by Bameby (1964). Modern phylogenetic studies during the last decade have shed significant light on relationships within the genus as well as the position of Astragalus within the tribe Galegeae of the Fabaceae. The first cladistic study of the genus, based mainly on morphological data, was designed to elucidate relations among sections and resulted in preliminary conclusions about relationships within the genus (Sanderson 1991). Results provided evidence for the monophyly of a number of sections, including Argophylli, the largest among the Large-flowered group within Barneby's Piptoloboid phalanx. Sanderson's study had two limitations that should be noted. First, due to computational limitations and the large size of the data set, 113 taxa, the resulting search did not uncover the most parsimonious trees. Second, outgroup selection was based on taxonomic concepts rather than explicit phylogenetic hypotheses. Higher level cladistic relationships within Astragalus as well as relationships among related genera were later studied using chloroplast DNA restriction site and nuclear ribosomal DNA sequence data. Results from these studies have provided strong support for several higher level clades within North American members. Monophyly of the genus was strongly supported as well as the monophyly of the aneuploids within the paraphyletic euploids (Sanderson and Doyle 1993; Wojciechowski et al 1993). Additionally, the monophyly of Barneby's sub-phalanx, the Large-flowered Piptolobi, which includes section Argophylli with a few modifications, was also well supported (Sanderson and Doyle 1993). Phylogenetic relationships below the sectional level have remained elusive due to the lack of phylogenetically informative genetic markers. Indeed, in a review of phylogeny of the tribe Galegeae and Astragalus, Sanderson and Liston (1995) emphasize that . . in Astragalus, morphology appears to be the most useful at the level of section and below." They go on to suggest that the quickest progress toward resolving relationships at lower taxonomic levels will include both molecular and morphological data. The objectives of the study presented here were twofold: l) to test the monophyly of sections in Barneby's Large-flowered Piptolobi sub-phalanx (with a few modifications) and to elucidate relationships among species; and 2) to test the utility of morphological characters in resolving interspecific relationships in Astragalus. 2.2 METHODS The present study consists of 51 ingroup taxa and are largely restricted to Barneby's (1964) Large-flowered group of the Piptolobi phalanx (L-fP). Several modifications have been made stemming from previous molecular studies. Three sections, Desperati, 10 Sam were to be Sandi specii sectic the L- additi earth .4. ca: A. car Withir Tl Piptol Pacifi. based two g, D2 NY an frOm tl CharaC Sigmf“ beCaus. 5pc equiva] 111833, d Sarcocarpi, and Tennesseenses (representing four, four, and one species, respectively), were excluded because species from these sections have been found by molecular studies to be outside of the otherwise monophyletic L-fP clade (W ojciechowski et. al. 1993; Sanderson and Doyle 1993; Sanderson per. mm.) The section Diphysi, with three species, was included because the widespread and diverse species A. lentiginosus of the section has been twice shown to be nested within the L-fP species. Three species within the L-fP have been revised since Barneby's (1964) treatment, resulting in two species additions and one species deletion from the group as follows: A. tephrodes var. eurylobus has been elevated to the rank of species as A. eurylobus (Bameby 1984); A. castaneiformus var. consobrinus has been elevated to the rank of species as A. consobrinus (Welsh 1978); and A. musimonum has been reduced to variety status within A. amphioxys (Bameby 1989). Species in this study are summarized in table 2.1. Three outgroup taxa were chosen for this study and are all from within Barneby's Piptolobi phalanx. Astragalus pomonensis and A. trichopodus are members of the Pacific Piptolobi and A. douglasii is a member of the Small—flowered Piptolobi. Results based on chNA restriction site data (Sanderson and Doyle 1993) suggest that the above two groups are basal to the Large-flowered Piptolobi. Data were derived from examination of more than 500 herbarium sheets on loan from NY and RSA as well as published data in Bameby (1964). In a few cases for which data from these two sources were unavailable, Bameby (1989) was consulted. Among the 90 characters screened for use in this study, 37 were excluded due to insufficient variation, significant overlapping variation and/or a high numbers of polymorphic species, or because of difficulty in scoring the character from herbarium specimens. Species were scored for 53 binary and multistate characters representing 137 binary equivalents (see table 2.2). Thirteen species in the study have infraspecific taxa and for these, data were combined for all varieties within a species resulting in higher average levels of polymorphic characters compared to species without varieties. Among all 11 Table 2f leuersli WW —-—-—— f E“) .MW .1 ‘ ‘ 1 ‘ l I. ‘ ‘ 1‘ u‘ ‘ AAAAAAAAAAAAeAAeAeAAAAAmAn N mrnrleUri...” p00 AAAAAAAWA AA ‘1 C AAAAA.mA A. Table 2.1. Species of Astragalus included in study. Arrangement by section (all capital letters), followed by subsections when applicable. Taxonomy after Bameby (1964, 1989). ARGOPHYLLI LAYNEANI Argophylli A. layneae Green A. argophyllus Nutt. ex T. & G. A. zionis M. E. Jones MOLLISSIMI A. piutensis Bameby & Mabb. Mollissimi A. desereticus Bameby A. mollissimus Torr. A. callithrix Bameby Orthanthi A. tephrodes A. Gray A. helleri Fenzl A. eurylobus (Bameby) Bameby A. iodopetalus (Rydb.) Bameby GIGANTEI A. shortianus Nutt. ex Torr & Gray A. giganteus Wats. A. cyaneus A. Gray A. columbianus Bameby MEGACARPI A. tidestromii (Rydb.) Clokey A. megacarpus (Nutt.) A. Gray Pseudoargophylli A. oophorus S. Wats. A. waterfallii Bameby A. beckwithii Torr. & Gray A. feensis M. E. Jones Neomexicanus LUTOSI A. neomexicanus Woot. & Standl. A. lutosus M. E. Jones Newberryani A. uncialis Bameby PTEROCARPI A. musiniensis M. E. Jones A. casei A. Gray ex Brewer & Wats A. loanus Bameby A. pterocarpus S. Wats A. newberryi A. Gray A. tetrapterus A. Gray A. eurekensis M. E. Jones Coccinei DIPHYSI A. coccineus Brand. A. lentiginosus Douglas ex Hook Eriocarpi A. iodanthus S. Wats. A. purshii Douglas ex Hook. A. pseudiodanthus Bameby A. leucolobus Wats. ex M. E. Jones A. subvestitus (Jeps.) Bameby A. funereus M. E. Jones A. utahensis (Torr) Torr. & Gray OUTGROUP A. nudisiliquus A. Nels. A. inflexus Dougli. ex Hook. DENSIFOLII Parryani A. pomonensis M. E. Jones A. parryi A. Gray Missourienses TRICHOPODI A. castaneifonnis S. Wats. A. trichopodus (Nutt.) A. Gray A. consobrinus (Bameby) Welsh A. chamaeleuce A. Gray INFLATI A. amphioxys A. Gray A. douglasii (Torr. & Gray) A. Gray A. cymboides M. E. Jones A. missouriensis Nutt. A. accumbens Sheld. Anisus A. anisus M. E. Jones 12 Table 2.2. Characters and their states used in the cladistic analysis. OO\IO\ MA LON—e Caudex position: 0 = at or above soil surface; 1 = subterranean Duration of plant: 0 = perennial; l = short-lived perennial, biennial, or annual Stem growth pattern (ordered): 0 = strongly caulescent; l = moderately caulescent; 2 = acaulescent Petiole: 0 = sub-sessile, very short; 1 = well developed Leaflets per leaf (ordered): 0 = greater than 26; 1 = between 5 and 26; 2 = between 3 and 5; 3 = less than 3 Leaflet size: 0 = less than 3.9 mm; 1 = greater than 3.9 mm Leaflet folding: 0 = present; 1 = absent Leaflet veination: 0 = midrib visible only; 1 = secondary veins visible; 2 = conspicuously reticulate Leaflet shape: 0 = orbicular-elliptic; 1 = linear Terminal leaflet attachment: 0 = jointed; 1 = confluent Leaflet apex: 0 = rounded; 1 = notched; 2 = acute Stipule connation (ordered): 0 = all free; 1 = connate or amplexical at plant base but free apically; 2 = all connate if only shortly so Stipule texture (ordered): 0 = herbaceous; l = papery or membranous; 2 = scarious Leaf pubescence type: 0 = basifixed and appressed; 1 = basifixed and spreading; 2 = medifixed Leaf surface pubescence density: 0 = scanty; 1 = dense Leaf abaxial pubescence density: 0 = scanty; l = dense Calyx tube to diameter ratio (ordered): 0 = below 1.3; 1 = between 1.3 and 1.5; 2 = above 1.5 Petal color: 0 = white or whitish; l = ochroleucous to yellow; 2 = pink to purple; 3 = scarlet Fruit orientation: 0 = erect-ascending; 1 = declined Valve texture (ordered): 0 = membranous to papery, not stiff; 1 = stiffly papery to leathery; 2 = stiffly leathery to woody Valve surface: 0 = smooth or faintly reticulate; l = coarsely reticulate Pod drying dark or black: 0 = stramineous to brown; 1 = dark brown to purple, blackish Pod color pattern: 0 = solid; 1 = mottled or speckled Presence of spungy-pithy mesocarp: 0 = absent; 1 = present Fruit septum (ordered): 0 = unilocular; l = bilocular but unilocular in the beak; 2 = fully bilocular Fruit persistance: O = decidious; 1 = persistant Number of ovules (ordered): 0 = below 14; l = between 14 and 18; 2 = above 18 Fruit dehiscence: 0 = apical ventral; 1 = apical ventral and through stipe; 2 = ventral and dorsal Stipe: 0 = absent; 1 = present Gynophore (ordered): 0 = absent; 1 = incipient and minute; 2 = present Fruit curvature: 0 = straight, or nearly so; 1 = incurved; 2 = sigmoidal Fruit beak: 0 = absent to cuspidate; 1 = strongly differentiated and upturned; 2 = weakly differentiated and decurved Fruit inflation: 0 = present; 1 = absent Fruit dorsal surface: 0 = smooth; 1 = dorsally grooved; 2 = carinate Continued on next page l3 Table 2.2 Continued Fruit cross section: 0 = rounded, ob-, or dorsi-ventral compression; 1 = trigonous, triquetrous, or trianglular; 2 = laterally compressed Black caylx hair: 0 = present; 1 = absent or nearly so White calyx hair: 0 = present; 1 = absent or nearly so Pod vestiture: 0 = pubescent; 1 = glabrous or nearly so Flowers per inflorescence (ordered): 0 = below 3; 1 = between 3 and 22; 2 = above 22 Flower orientation: 0 = ascending; l = declined Keel length (ordered): 0 = less than 22 mm; 1 = between 22 and 29 mm; 2 = above 29 mm Keel incurvature (ordered): 0 = below 40 degrees; 1 = between 40 and 75 degrees; 2 = between 75 and 110 degrees; 3 = above 110 degrees Banner recurvature (ordered): 0 = less than 15 degrees; 1 = between 15 and 32 degrees; 2 = between 32 and 60 degrees; 3 = greater than 60 degrees Anther size (ordered): 0 = between 0.4 and 1.0 mm; 1 = less than 0.4 mm; 2 = greater than 1.0 mm Fruit length to diameter ratio (ordered): 0 = less than 3.3; 1 = between 3.3 and 4.2; 2 = 4.2 and 6.5; 3 = above 6.5 Fruit ventral surface: 0 = smooth; 1 = dorsally grooved; 2 = carinate Seed coat purple-speckled: O = absent; 1 = present Seed coat texture: 0 = smooth; 1 = pitted and/or wrinkled Seed coat lusture: 0 = dull; l = lustrus Bracteoles, well developed: 0 = absent; 1 = present Seed coat dark or black: 0 = absent; 1 = present Wing to banner gradation (ordered): 0 = wing more than 5% longer; 1 = wing between 0% and 5% longer; 2 = wing up 12.5% shorter; 3 = wing more than 12.5% shorter Keel to wing gradation (ordered): 0 = keel longer; 1 = keel up to 22% shorter; 2 = keel more than 22% shorter 14 species. a ! polymorp? remains eq varieties at Eight q controvers: lhiele 199.” than direct] sampling 01 presents cor order to mi of measures POl)’m0rphj¢ that overlap; Quantita (1993). Six ordered bee a qualitative as 2862 cells in polFmOrphjc Providing ph A Starch 1998)0n alt 100 TandOm .' 30,000. species, a significant correlation exists between the number of varieties and the number of polymorphic characters for a species (Kendall's tau = 0.56, p < .001). This correlation remains equally significant after the removal of the outlier A. lentiginosus with 36 varieties and 12 polymorphic characters. Eight quantitative and three meristic characters were included in this study in spite of controversy surrounding their usage in cladistic analyses (Baum 1988; Stevens 1991; Thiele 1993). Data for these characters were taken largely from Bameby (1964) rather than directly from herbarium sheets because Barneby's data represents a far greater sampling of individuals than could possibly be achieved in this current study. Bameby presents continuous measures as ranges rather than as means and standard deviations. In order to make use of the gap-coding procedure of Archie (1985), the standard deviation of measures for a species was conservatively estimated by dividing the range by two. Polymorphic coding was used in the few cases when a species exhibited broad variation that overlapped otherwise discrete patterns of variation among other species. Quantitative and meristic characters were ordered following the suggestion of Thiele (1993). Six qualitative characters, scored based on data from Bameby (1964), were also ordered because variation among species for these characters was derived from the qualitative assessment of underlying continuous variation along a single axis. Among 2862 cells in the data matrix, 20 ( echo _ @435 s. a m i . III-IIIIIIII-IIIIIIIIIIIIIIIIII-IIIIIIIIIIIIIIIIIIIIIIII " , «enema " mmmcnoE ... meadow main... use mans. m 2650? u - 232.8%. " 3:300 :00 m ”Emu Re 28320 m 258...". m u m «39.5300 >x EoE—S..$:H m , . 0.83 e 32 o.— . «my «coaxm u a m 96 .> < u umF—Quhmomo IIIIIIIIIIIIIIIIIIII IIII-IIII-IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII- 1:an ~39 53.5.53: Saemé "Suggest =§~§=§< ‘ «cc Ecuaaooo yo «no.3 G» £58 :8 £38.52 - «Q 20.3655 .508“. :euafiueumuab 52. he 3:258 can macaw—on “c.5326 9:39 32m 5. 2&3 28 , ..... a. .1. . =e=uo_.e.a n5: zeta—Emu sonar—«=3: :a :c miawabm< Me 32395 negate—noun“: 2: he .852:me «a use... 29 Table 3.1 Scales, measurement areas, and number of grid cells used in this study. Scale (J) in km Measurement area (f) in km’ Number of grid cells 10 100 102,400 20 400 25,600 40 1,600 6,400 80 6,400 1,600 160 25,600 400 320 102,400 100 640 409,600 25 1,280 1,638,400 6+ 2,560 6,553,600 1+ 30 auto—:44. 5.82 588.5 Maia—.82. Saw .5. can QM PEER 31 32 scales was tabulated. Species richness values for each cell were also tabulated. Equal— area normalized coordinates for each site were exported for use in determining minimum cell counts and geographic extents. 3.2.3 Minimum cell counts, area of occupancy, geographic extent, and fractal dimensions Minimum cell counts C were determined by the following procedure. Grids were numerically moved in a 2 km step search procedure in both the X and the Y directions until all possible unique positions were assessed. The smallest cell counts were retained. At the 10 km scale, 25 different positions were assessed. Each larger scale was also searched using 2 km steps resulting in four times the number of positions assessed compared to the previous scale. This procedure was carried out with "Minimum Cell Count," written in Q-Basic specifically to accomplish this search (see Appendix C). Minimum cell counts are referred to simply as cell counts and are denoted by Cj for scale of measure J. A species area of occupancy at each scale J, denoted by A j, was calculated by multiplying the cell counts by J2 (referred to as the measurement area). Each species had up to nine measures for area of occupancy depending on the geographic extent of the species. The geographic extent of each species, denoted by E, was calculated by multiplying the coordinate range in both the X and the Y directions. Range values were rounded up to the nearest 10 km because the smallest cells were created with a measurement scale of 10 km. Measurement scale bias is thus kept constant among area measures. 33 A summary of measures is as follows: 0 S = Sites: number of localities recorded by Bameby (1964). 0 = Scale: linear dimension of grid cell [10, 20, 40, 80, 160, 320, 640, 1280, & 2560 km] Little j used as a scale identifier. 0 J2 = Measurement area at scale J . 0 C j = Cell count or cells occupied at scale J 0 A j = Area of occupancy at scale J. A = C12. 0 E = Geographic extent. A comparison of fixed grid versus minimized area of occupancy measures was carried out using cell counts directly for scales J = 10 and 160 kms. Correlations, both Spearman and Pearson, were run to assess relations among sites S, cell counts C10, and geographic extent E. In order to assess at which scales the largest changes occurred in the rank order of species by area of occupancy A, each scale was compared with the next larger scale using a sequential ranking procedure. Ordinary ranks, which give ties the same average rank, introduce a large amount of variation at higher scales not pertinent to these comparisons. Sequential ranks provide a unique rank for each species and, in the case of ties, do not change the ranks used at the previous scale. The sequential rank procedure was accomplished by first sorting species by A 10 and then assigning ranks. Next, species were sorted first on A20 and second on A10, followed by ranking. This series of steps continued until ranks were assigned at all scales. A count of rank changes and the magnitude of changes were calculated for each pair of scales compared. 34 Area of occupancy A was used to calculate the fractal dimensions D of each species using the following equation (Peigten et. al. 1992): _ alogA _ (3.1) 810g J2 D 2 . . . . . where J is the measurement area. This equation can be reorganized into: where 112 and 122 are the scales of measurement. Another frequently used fractal dimension is the box—counting dimension DB, used specifically for count data The dimension D is numerically related to DB in the following way (Peigten et. al. 1992) and is presented here for comparisons with other studies: D3=2—2D (3.3) Fractal dimensions were calculated for each pair of sequential scales using equation 3.2 and resulted in eight comparisons for each species. Log 12 was plotted versus log A10 to express the fractal dimension as the slopes of the lines connecting the individual points for a species. The degree to which a species distribution is fractal was assessed by calculating the standard deviation among a sequential triplet of dimensions (four sequential scales). 35 Standard deviations of zero are considered perfectly fractal, whereas standard deviations between zero and 0.05 are considered nearly fractal. 3.2.4 Species richness Species richness values, that is, the number of species represented in a grid cell, were tabulated for each fixed grid cell at each scale. Means, variances, and coefficients of dispersion (CD) were calculated among all cells (when occupied) within a given scale. Kolmogorov-Smimov tests for goodness of fit with respect to a Poisson distribution were carried out. 3.2.5 Categories of rarity used in this study Rare categories were defined in terms of two measures: area of occupancy A 10 and geographic extent E. Using both the IUCN Red List guidelines as well as guidelines adopted by the Joint Nature Conservation Committee, the criteria are defined as follows: 0 Very Rare, R] A < 100 km2 E < 100 km2 ° Rare, R2 100 km2 < A (500 km2 100 km2 < E <5000 km2 0 Somewhat Rare, R3 500 km2 < A < 2000 km2 5000 km2 < E < 20000 km2 0 Common 2000 km2 < A 20000 km2 < E 36 3.3 RESULTS 3.3.1 Fixed grid versus minimum cell counts Nearly all species in the study showed significantly higher cell counts based on fixed grids compared to rrrinimized cell counts. Figure 3.5 shows levels of inflation at scales 10 and 160 km for all species in the study. Average inflation error at the smallest scale of 10 km is 14%, whereas at the intermediate scale of 160 km is 49%. Overall, inflation rates are largest for species with the smallest distributions and inflation rates rise as the measurement scale increases. The cell count measures for the species Astragalus helleri found in Vera Cruz, Mexico, provide a good illustration of the error introduced by using arbitrarily placed fixed grids. Figure 3.6 shows the locations of the three sites and the position of the fixed grids for scales J = 160 and 320 km. As chance would have it in this case, the three sites for the species fall in three different 160 km cells, even though they are at most 36 km apart. The intersection of grid lines happens to fall within the triangle created by the three points. A comparison of fixed grid and minimized cell counts show sizable inflation through the 160 km scale (see table 3.2). 3.3.2 Geographic measures and resulting rare categories Species values for number of sites S, minimum cell counts C, and geographic extents E, are given in table 3.3. Cell counts for areas larger than a species' geographic extent are by definition equal to 1 and are indicated with shading in table 3.3. The four rarest species (A. desereticus, A. columbianus, A. eurylobus, A. accumbens) have geographic 37 82 a 2 u 2 3.58 :8 8.. QM m.N o.N m. w 6... m6 :6 ling—flu.- 9 £6 D ‘ fi 3 a E”— 48 4 U U 4 4 E . $3 4 4 M 4 4 a 4.8. m. o u amwuquoa canon 5. 034 man—“I805 Oddom Eu— cHD . #63. ES»: afieuuhuvc 85.8 :8 £5.55:— 3 3.39:8 1 $oou Sauce :58 =3 2..» Be... an 23E 38 8:32 E 22.2. $3.54 he 8%. 8...: 2i. 3 as»; M / N30 80> 583‘ E: can E a 39 Table 3.2 Comparison of fixed grid and minimized cell counts for Astragalus helleri. Cell Scale of measure (J) Counts 10 20 40 80 160 320 640 1280 2560 Fixed grid 3 3 3 3 3 l l 1 1 Minimized 2 2 l l 1 1 1 l 1 Inflation 50% 50% 200% 200% 200% -- -- -- -- 40 Table 3.3 Sites S, minimum cell counts C, and geographic extent E for each species. Sorted by C10 values. Area of occupancy A (kmz) is equal to CJZ. Shaded cells are scales that are larger than the species' area of extent. Species Sites Cells counts (C) at scale (J), in kilometers ‘ G§$:?:2; Code (S) 10 20 40 80 160 320 640 1280 2560 (km)2 dm 1 1 1 1 1 1 ' 1- 1 _ 1 1 100 cola 1 1 1 1 1 ' 1 1 1 1 1 100 “1'? 2 1 1 1 1 1 1 1 1 1 100 "c“ 2 1 1 1 1 1 1 1 1 l 100 “3‘31 2 2 1 1 1 1 1 l 1 1 400 9“" 3 2 1 1 1 1 l l 1 1 200 1°“ 3 2 2 1 , 1 1 1 1 1 1 400 13.11 3 2 2 l 1 1 1 1 1 l 400 “11 3 2 2 2 2 1 1 1 1 1 4,800 “a" 3 3 2 2 2 1 1 1 1 1 2,700 pt“ 4 3 2 2 2 2 1 1 1 1 5,400 a.“ 5 4 3 3 1 1 1 l 1 1 3,500 1““ 5 5 4 2 2 1 1 1 1 1 4,200 cm 5 5 5 4 2 l 1 1 1 1 9,900 “1' 6 5 4 2 1 1 1 l 1 1 700 Plan 6 5 4 3 3 2 l l 1 1 22,000 1"“ 7 5 5 4 3 1 l 1 1 1 9,900 CY“ 7 6 3 3 2 1 1 1 1 1 6,000 1“" 8 6 4 3 2 1 1 1 1 1 12,800 1040 11 10 8 7 6 2 1 1 1 1 47,500 1119': 12 10 8 7 6 3 3 1 1 1 294,000 m“- 12 10 9 7 5 3 1 1 1 1 46,800 W 13 10 7 5 3 2 1 1 1 1 13,300 at. 14 11 9 8 6 4 2 1 l 1 203,500 8103 16 12 9 7 5 3 2 1 1 1 40,000 nudi 14 13 8 5 4 2 1 1 1 1 29,700 cfilt 15 l 3 10 8 4 2 l 1 1 1 55,100 0‘11“ 17 15 14 10 5 2 1 1 1 1 34,500 =14. 20 1 6 10 6 4 2 1 1 1 1 50,400 t0": 2] 18 15 13 10 6 3 2 1 1 374,400 pint 22 20 16 12 7 4 2 1 1 1 77,700 ell-0 25 22 16 12 8 4 2 1 1 1 107,300 new. 25 24 20 16 12 7 4 2 1 1 588,000 Continued 41 Table 3 .3 continued ccumc :pmumr chum: chum: luau: iaxll town: *ntaht loan urge buck anyh nofib n13. noll lent 30 39 43 41 46 60 64 64 68 72 87 97 114 119 201 320 426 739 26 35 37 39 40 43 56 59 62 69 80 88 105 H1 194 mm MW 6” 22 30 28 32 31 33 45 50 51 59 71 76 92 98 179 flfl In flfi 14 19 23 22 23 23 35 39 41 48 57 57 69 82 151 210 241 345 10 10 12 13 13 14 22 21 26 31 38 35 38 59 117 142 132 188 OOO\OOO\J>O\ 12 16 21 18 15 28 66 66 59 72 42 \lOOOQ-bAUI-bw4>UJNN NNNNH ht-‘UJUI—t \JOO\O\O U1634>.n uthth¢lQ —tna~‘..._ wwmANu—‘t—‘NNu—av—au—an—u—su—ay—Iy—spu flfl—lp—l—‘HHI—IflHHHHHflfiHH 225,000 79,200 144,400 434,000 148,500 199,500 496,800 318,200 374,400 634500 1,092,000 1,379,400 792,000 1,626,200 3,569,600 4,275,000 3,376,800 3,013,200 extents equal to 100 kmz, the smallest measurement area and smallest scale used in this study. Spearman and Pearson correlations among sites S, cell counts C10, and geographic extent E, are shown in table 3.4. Among the three pairwise comparisons, a nearly perfect correlation was found between sites S and minimum cell counts C10. Figure 3.7 shows histograms of sites and cell counts. Figure 3.8 shows histograms of areas of occupancy A 10 and geographic extent E. Figure 3.9 is a bivariate plot of the latter. Kolomogorov- Smirnov tests for normality returned the following probabilities: log S = 0.978; log C10 = log and A10 = 0.944; log E = nil. Assuming 95% confidence levels, normality for the log number of sites S is not rejected while log cell counts C10 and log areas of occupancy A 10 are just marginally rejected. Normality for log extent E is rejected. Species in this study were categorized for rarity by area of occupancy A10 and geographic extent E. A summary of results appear in table 3.5, with dual-categorical tabulation presented in table 3.6, which has been formatted to correspond with figure 3.9. Rare categories for individual species appear in Appendix A. The locations of the 17 species categorized as "rare" or "very rare" for at least one type of measure are mapped in figure 3.10. The four "very rare" species, Rl-Rl categories, are coded black on the map. These species are very rare by both measures. Nine species fall in the "rare" category, R2-R2 for both measures, and are coded light gray. Four additional species are in the R2 category for area of occupancy but are either "somewhat rare," R3, or "common" in terms of geographic extent. These species are thus considered "rare" by only one category and are also color-coded light gray. 43 Table 3.4 Spearman (Pearson) correlations among the three principal geographic measures. Log sites S Log minimum cell count C1o Log minimum cell count C10 .997 (.996) Log geogrphic extent E .956 (.934) .958 (.941) Iii—“q— " ‘ «so» :58 :8 £255: .2.“ a» 85 :2 emu 3 2 iI‘I‘I . . I I‘ll a..lm. X IIIIII . . I‘I‘I J. I I I . I I I . I I I r I I I . . U . I I I . . . . I I I I I I I I I I I I I I I I I I I I I I I O I I I I I I I I I I I I I I I I I I I I I I. I I I I I I I I I I I I I I I I I I t I I I , I I I I I I . IIIIII ., IIIIII . III II . J. IIIIII I I I I I I I III _ I I I I I I . I I I I I I . I I I I I I I I I ., I I I .. I I I IIIIII IIIIII IIIIII v. IIIIII, I I I . I I I I I I I I I I I I I I I. I I I I I I I I I I I I I I I t I I I I I I , I I I I I I I I I I I I I I I I I I I I I I , . . .. I I I . 1 l . I I I A . I I v I I I I I I . I I I I . , I I . I I ,. I I . I . I I . . I A , U I I I I I I I I 0 I I I 1 I I I I I I I I. lfiL‘.‘ ~~.r .7. l:‘\."t ,. \~'\r\ 5- . er Sauefiseeouc. t as. u an M2 “82:52.8.— bm—IEIo: I8 38 SEE—miseweE—ev— 2 0 3:58 :3 5555:. as mega a: Ian—~52 hm «Sufi 8.": 2.8.“. ,6ng sagoads to sequin" 45 AmhouoEo=¥2maamv no.3 mN 2.033 ems—Qahwcanv tau 3 QM ohflwmra “swim E Iguana-500 Io «Qin— < 5.5558 .8 §< 46 Eat.» oEnEmomm mo; ad «.m 9m o.m ed ad «.m QN c.~ I; D b n n D I I r P Q. P v u r ed m n. n_ n. 1 6 n. D D D D D m N a U D an U D n? 1U l N.” m.- n o D D D m D D m U .m n on a.» m D 1 o D D .A D D D u .. I I n. U W 2.08.5 emu—Q9300» mo:— msma?» S «x hugazooc a: 8.5 as an 8&5 .. 9m 47 Table 3.5 Categories of rarity applied in this study. Area of Occupancy (A '0) Geographic Extent (E) Category Criteria In Study Criteria In Study R1 5100 km’ 4 (3%) 5100 km2 4 (8%) R2 100-500 km2 13 (25%) 100-5000 km’ 9 (18%) R3 500-2000 km2 14 (27%) 5000-20000 km’ 6 (12%) Common >2000 km2 20 (39%) >20000 km2 32 (63%) Table 3.6 Species categorized by area of occupancy A and geographic extent E rarity. Common 20 Area of R3 3 1 1 Occupancy R2 9 3 1 (A...) R1 4 R1 R2 R3 Common Geographic Extent (E) 48 32x22 .NEU Eo>v .233: .v. nfln mfiuuuhnax .— .: 2: .8 860% 0.5.. an: ecu 0.5.. no .5539— eud Paar— a==u~§w5om= .<. .. can. ..._u 82.23 .< 3.9.amvwwuw .«u . . .5 .3392» . . . . 815.58 .< 33m :chfimué §=S¢E=~3 .< I 49 3.3.3 Among scale comparisons Pairwise Spearman and Pearson correlations among scales, based on areas of occupancy A, are shown in table 3.7. The highest correlations were found at the smallest scales of measure. Further, correlations were always highest for scales nearest in size. Figure 3.11 is a chart of the values in table 3.7. The sequential ranks of species at each scale are given in table 3.8. Shaded cells in the table indicate rank changes for a species. The number of species with changes in rank varied from as low as 2 at the largest scales to a high of 26 (or 51%) between scales [J = 40 and 80 km]. The magnitude of rank changes, taking into account the size of each rank change, varied similarly. Figure 3.12 provides a summary of these changes. 3.3.4 Fractal geometry of species distributions Table 3.9 gives each species' fractal dimensions D for the eight pairs of scales compared. Note that a significant portion of the cells in the table are shaded, indicating D when it is equal to 1. As previously mentioned, this occurs when the scales of measure exceed the geographic extent of a species. Visual inspection of this table reveals that species' distribution are generally not fractal across scales. Indeed, no species is perfectly fractal across the full range of scales examined in this study. Scale-area curves on a log-log plot are shown in figure 3.13. The slope between each pair of points is equal to D. The bold diagonal line graphically represents the position where geographic extent equals measurement scale, and D, therefore, equals 1. The four rarest species (A. desereticus, A. columbianus, A. eurylobus, A. accumbens) do not have fractal dimensions because they are too rare. Four additional species, A. uncialis, A. funereus, A. loanus, and A. helleri, have sufficiently small range sizes such that they do not have a sequence of three dimensions for comparison. Among 50 $.93 35. 9359 5mm. Gmbg boo. Avg—5V Sm. ESQ cwm. €©©Q vwm. 3.89 gm. cwflu Agog ohm. A259 mmw. Amcwg 2w. ammo mow. Ammwo was. 8;.V was. 3% $39 30. A309 mam. Ammoo 2o. Cbmg Goa. Abowg mam. can 23¢ m3. Avcog ova. Ammag Vmo. Amvoo N3. :3 33¢ cwo. Swag Eb. Avgg #3. ca Amomo 5a. awao gm. 3. Avmmo mmo. ca :3 cmm :3 an 3. an A: Q.» 23m .< 3:338 mo £83 .8 838 muons macaw—9:8 385?: 55.8on Em 033. 51 3 28m owe cmn cap on ow cu o. suonelauoo camp U 93 fl own I oo F I oo I 2‘ E ON D 816% uEE—w 95:29.39 525.3% omEmam 5a 2:5 52 Table 3.8 Sequential rank of species at each scale based on area of occupancy A. Ranks were not determined for the largest scale [J=2560] because all species have the same area. Shaded cells indicate rank changes. See text for further details. Sequential rank for each scale (J), sorted at [=10 Sluxjes Code 10 20 40 80 160 320 640 1280 4". 1 1 1 1 1 1 1 1 °°1u 2 2 2 2 2 2 2 2 '“rY 3 3 3 3 3 3 3 3 new 4 4 4 4 4 4 4 4 ““91 5 5 5 5 5 5 5 5 fun. 6 6 6 6 6 6 6 6 1°‘” 7 7 7 7 7 7 7 7 h'11 8 8 8 787 8 8 8 8 “‘11 9 9 9 1 1 l 1 1 1 1 1 l 1 '“bv 10 10 10 12 12 12 12 12 Pt“ 11 11 11 13 18 18 18 18 “'0“ 12 12 14 10 10 10 10 10 1“t° 13 14 12 14 13 13 13 13 °°n' 14 18 18 17 16 16 16 16 ‘31. 15 15 13 9 9 9 9 9 P"“ l6 l6 16 18 19 19 19 19 ‘9'“ 17 19 19 19 17 17 17 17 “Y'3 l8 13 15 15 14 14 14 14 1'“° 19 17 17 16 15 15 15 15 1°40 20 21 23 27 25 25 25 25 gig: 21 22 24 28 28 33 33 33 "u'1 22 24 25 24 26 26 26 26 cymb 23 20 2O 2O 20 20 20 20 "t0 24 25 27 29 29 28 28 28 ”1°“ 25 26 26 25 27 27 27 27 nudi 26 23 21 21 21 2 1 21 21 9"t 27 27 28 23 23 23 23 23 '“r' 28 29 29 26 24 24 24 24 “id. 29 28 22 22 22 22 22 22 t°tr 30 3O 32 32 33 34 36 36 Piut 31 31 30 3O 3O 29 29 29 °"° 32 32 31 31 31 3O 30 3O “‘9' 33 33 34 35 37 37 37 37 Continued 53 Table 3.8 continued °°¢° 34 34 33 33 34 32 32 32 9‘" 35 36 35 34 32 31 31 31 cm 36 35 37 36 35 35 34 34 “1°” 37 38 36 37 38 38 38 38 1W“ 38 37 38 38 36 36 35 35 in“ 39 39 39 39 39 39 39 39 “9h 40 40 40 41 41 42 42 42 ““11 41 41 41 40 40 40 40 40 1°“ 42 42 42 42 42 41 41 41 00911 43 43 43 43 44 44 44 45 “‘90 44 44 44 45 46 46 46 46 he" 45 45 45 44 45 45 45 44 mph 46 46 46 46 43 43 43 43 a.” 47 47 47 47 47 47 47 47 mi" 48 48 48 48 49 51 51 51 “011 49 49 49 50 50 49 49 49 9“" 50 50 50 49 48 48 48 48 1'“ 51 51 51 51 51 50 50 50 Count of changes 18 20 26 23 11 Magnitude of changes 32 35 50 38 18 54 coca—=00 «E mofiom camp m> SB 30 m> can can m> cow 8— m> 8 on m> ow ow w> on em m> 3 3 m> mozm omcuzo 05.03“ 3 8.6 E «5.50 nu 23m 833 8935 :5.— 155.5% «3. 2:3... 55 Table 3.9 Fractal Dimensions D for each species between reference scales. Shaded cells indicate D values which are 1 by definition. List sorted as in table 3.3. Doubly underlined values represent scales for which the species' distribution is perfectly fractal; singly underlined represents nearly fractal distributions. Sp eci es Fractal Dimensions D between reference scales J Code 10-20 20-40 40-80 80-160 160-320 320-640 640-1280 1280-2560 dos. 1.00 1.001 "1.00 1:00 ‘ 2100"}; 41.00 1.00 1.00 colu 1.00 1.00 1.00 .g';;1.oo* .3100. [1.00 1.00 1.00 cm 1.00 . 1.00 1.001 100 ‘ 100 3 1.00 1.00 1.00 30°“ 0.79 1 00 0.21 1.00 100 1 00 1 00 1 00 lut° 0 84 0 50 1 00 0.50 100 100 1 00 l 00 CO!“ 100 084 050 050 ' 100 100 100 100 fun 1.00 0 84 0 79 0.21 1.00 ; 1.00 1.00 1.00 cyan 0.50 1.00 0.71 0.50 ‘ 1.00 1.00 1.00 1.00 low 0.71 0.79 0.71 0.50 1.00 1.00 1.00 1.00 iodo 0.84 0.90 0.89 0.21 0.50 1.00 1.00 1.00 stic- 0.84 0.90 0.89 0.50 1.00 0.21 1.00 1.00 ““1 0.92 0.82 0.76 0.63 0.21 1.00 1.00 1.00 cm 0.74 0.76 0.63 0.71 0.50 1.00 1.00 1.00 “t. 0.86 0.92 0.79 0.71 0.50 0.50 1.00 1.00 11°“ 0.79 0.82 0.76 0.63 0.71 0.50 1.00 1.00 ““41 0.65 0.66 0.84 0.50 0.50 1.00 1.00 1.00 “'15 0.81 0.84 0.50 0.50 0.50 1.00 1.00 1.00 "I" 0.95 0.76 0.50 0.34 0.50 1.00 1.00 1.00 ‘11“ 0.66 0.63 0.71 0.50 0.50 1.00 1.00 1.00 “tr 0.87 0.90 0.81 0.63 0.50 0.71 0.50 1.00 91111: 0.84 0.79 0.61 0.60 0.50 0.50 100 1.00 c“. 0.77 0.79 0.71 0.50 0.50 0.50 1.00 1.00 mg: 0.87 0.84 0.79 0.61 0.60 0.50 0.50 1.00 Continued 56 Table 3.9 continued coca par: chm char layn 11:11 £091: utah 10d. back much new}: nin- noll purl lent: 0.88 0.89 0.80 0.86 0.82 0.81 0.84 0.88 0.86 0.89 0.91 0.89 0.90 0.91 0.94 0.90 0.88 0.83 0.67 0.76 0.63 0.21 0.50 1.00 1.00 0.67 0.54 0.34 0.50 0.50 1.00 1.00 0.86 0.53 0.50 0.50 0.21 1.00 1.00 0.73 0.62 0.65 0.50 0.50 0.50 1.00 0.78 0.59 0.44 0.50 0.21 1.00 1.00 0.74 0.64 0.60 0.50 0.50 0.50 1.00 0.82 0.67 0.50 0.43 0.34 0.50 1.00 0.82 0.55 0.30 0.50 0.50 0.50 1.00 0.84 0.67 0.44 0.21 0.50 0.50 1.00 0.85 0.68 0.52 0.40 0.39 0.71 0.50 0.84 0.71 0.57 0.39 0.42 0.50 0.50 0.79 0.65 0.52 0.42 0.50 0.00 1.00 0.79 0.57 0.33 0.45 0.39 0.21 1.00 0.87 0.76 0.46 0.33 0.43 0.34 0.50 0.88 0.82 0.59 0.30 0.26 0.42 0.00 0.84 0.72 0.45 0.24 0.32 0.21 0.21 0.76 0.57 0.42 0.25 0.30 0.29 0.21 0.73 0.56 0.31 0.21 0.11 0.39 0.21 57 the remaining 43 species, 7 are perfectly fractal across four scales of measure (three measures of D), and 14 additional species have nearly fractal dimensions across four or more scales. By this criterion, nearly 50% of species show a high level of fractalness across at least four scales of measure. On the other hand, among 166 sequences of four scales (three measures of D), only 29 (17%) of them are fractal by this criterion. These sequences are indicated by underlining in table 3.9. Perfectly fractal sequences are doubly underlined, whereas nearly fractal sequences are singly underlined. As a group, D was highest at the smallest scales and declined with the larger scales. Within scale variance increased with increasing scale owing to the smaller number of species with range sizes at large scales (see figure 3.14). 3.3.5 Species richness Species richness among individual cells varied substantially with scale. At the smallest scale (J = 10 km), species richness averages just greater than one species per cell (when occupied) with a maximum of three species per cell. The largest scale analde (J = 640 km) had an average of more than seven species per cell and a maximum of 23 species per cell. Table 3.10 shows species richness counts among the six scales analyzed. Kolmogorov-Smirnov tests for a goodness of fit with a Poisson distribution returned very low probabilities (data not shown). Coefficients of dispersion, CD (variance/mean, expressed as a decimal), are shown in table 3.10. CDs were less than 1.0 for scales J = 10, 20, and 40 km, indicating that at these scales, species distributions are repulsed (i.e., contrary to clumped). Species richness counts are clumped at scales J = 80, 160, 320, and 640 km. A plot of mean and variance values among scales (not shown) indicates values cross between scales 40 and 80 km. This suggests that, with respect to species richness, cell counts may have a Poisson distribution at a scale near 60 km. 59 Ooh—3:30 moiom 2: 2 8 OOMN on OONF OONF 0. Ovm Ovm 8 ONO ONO 2 Our OO 3 cc OV 3 ON ON 3 O_. n O _. mN an 8.3% 896: "1,535.56 .5931.— 38 2:5 we 39v.— no _.O. we he": «$8 a .cotoucom .3530me 1 NO 1 MO I ‘1 C 1 m6 1 9O 1 Nd I “2 O 1 ad (lo %96) a 0°!909w!al91331:l 60 N? «Na o: 8 N _ _ _ _ _ N _ N N :3 m3 2: 0N1 3 _ N _ N N _ _ N m _ _ w c 2 8 can SN a: 42 a: _ 1 v o m 4 o_ 2 3 MN 9. mm :3 NZ 3N 3N 9:. _ _ o N 2 nN 8 K 9: m2 8 we. 02 $2 82 m m N t. NE SN m3 3. ON. 33 oN._ E: N _ t 2 2m mm: ON :. a. _.o :._ NSN .. om 8N SNN :— 8 B. .62.. a NN 2 2 2 2 3 2 N_ 2 3 a a b e m w m N _ 3 23m awe—=35— 832mm 28% some .8 :33 Ba 56336 ho E20508 can 625:? .532 .Ex owe smack”: Ex 2 u H 3.3m c8 m=oo 35:8 30:20: 860% E cougar—3’ o_ .m 035. 61 The largest numbers of species rich cells fall in Utah and Nevada. At the smaller scales they are predominantly found in Utah, whereas at the larger scales, Nevada has the greater number of species rich cells. Figures 3.15 and 3.16 show species richness in Utah at scales J = 40 and 80 km. Tabulation of species richness by state boundary, rather than grid cells, found 24 species located in Utah and 23 species in Nevada. Among the two states, 14 species are common to both, and together they contain 33 species, or 65% of the total number of species in the study group. Additionally, these two states have the majority of the 17 rare species (as defined above) in the group: 6 in Nevada, and 4 in Utah (see figure 3.10). The region with the largest cluster of species rich cells is found in southern Utah, especially on and adjacent to the Utah Plateaus and in the area south extending toward the north rim of the Grand Canyon and extending cast into the Pine and Bull Valley Mountains. A second area of high species richness lies on the eastern flanks of the Sierra Nevada Range in California, extending across the White Mountains and including the southern portion of the Toiyabe Range. As expected, the center points of maximum species diversity depend on the measurement area. They are nevertheless very near the most species rich cells. 3.4 DISCUSSION Perhaps the most significant result from this study was the discovery of high levels of variation in the area of occupancy measure A due to variation in the placement of grids. The "Minimum Cell Count" procedure was developed to eliminate this arbitrary variation. A comparison of values derived from an arbitrarily placed grid versus placements that minimized A revealed large differences for species with small range size and/or a small number of localities. Other procedures might be employed to eliminate this variation, 62 24' 1.8. 3D 5033925 23... Exam luuoaaot 228% :3: m3 2:2... 63 E "S m 2 .2 5138 12:5- richness- 40km scale Species/Cell such as taking the mean of 10 random grid placements; however, sampling error due to estimating the mean will be influenced by the spatial pattern of a particular species and will thus vary among species. These finding have important implications for studies that include species with highly divergent range sizes. Indeed, when area of occupancy is used for assigning rare status to species leading to listing for special protection, it is possible that some species may not attain status and listing by fixed grid methods whereas they would if a minimization procedure were employed. Given the importance of a sound and repeatable process for assigning special status to species for conservation protection, the arbitrary nature of fixed grid methods should be avoided. Furthermore, fixed grids should be avoided to reduce experimental error in studies of biogeography. The effect of scale with respect to the area of occupancy measure is readily apparent when the scale of measure is large compared with the areas occupied. Large measurement scales, in effect, summarize variation at smaller scales and thus reduce information content. This highlights the need to use scales that correspond with species with the smallest area, especially for studies that focus on rare and more restricted species. Rank abundances are also strongly influenced by changes in scale due to the interaction between a species' distribution, the scale in which the data was collected, and the scale in which the data is summarized. Nearly all species in the study changed rank position as scales changed, the extreme example being Astragalus giganteus which shifted from position 20 at the smallest scales to 33 at the largest scales. This suggests the need to choose scales carefully when employing ranks. The use of fractal properties to mitigate the among scale effects discussed above appears to be problematic. Based on results in this study, species are not strictly fractal across the scales employed in accordance with the findings of others (Krummell, et. al. 1987; Allen and Hoekstra 1992). 65 The majority of species in the current study have fractal dimensions near the value of 1 between scales J = 10 and 20 km. Two possible explanations are offered: 1) The numbers at these scales may simply be a sampling artifact. If the average distance between sites is substantially greater than 10 km and sampling (collecting) was done systematically leading to over—dispersion, this would lead to high values of D at the lowest scales; and 2) the organisms themselves may be more widely distant than the sampling measure and/or the species may be systematically distributed due to ecological factors. Unfortunately, both of these effects can lead to higher values. Untangling the extent to which these factors affect the data set is difficult to elucidate. Recent work by Kunin (1998) made use of fractal properties to predict areas of occupancy of scarce plant species at scales finer than the scale at which data was collected. Kunin did not quantify the fractal properties of the species he studied, however; rather, he assumed the distributions were fractal and used this assumed property to derive predicted-values. Predicted values were generally greater than a second set of observed data collected separately at the fine scale. He concluded that either undersampling occurred at the fine scale or that species are not strictly fractal over the range of scales employed. Given the results from the current study, Kunin's later suggestion is clearly supported. His first suggestion may also be simultaneously influencing the outcome. These findings raise concerns about using fractal dimensions for estimating the abundance of a species at scales smaller than the scale for which data has been collected. However, given the effect of variation introduced by using fixed grids, there may yet be hope for refining a procedure similar to that of Kunin (1998). Regarding findings on species richness, because values were derived from fixed grids, the largest values found were not the maximum possible. Indeed, an informal search for higher maximum species richness counts at scales 160 and 320 km netted higher values than with the fixed grids—17 species versus 13 for the former, and 21 66 species versus 18 for the later. Procedures to optimize species richness values were not undertaken due to the computational difficulty and the lack of a rationale for doing so. One of the more interesting aspects of the findings on species richness is that high values correspond with the boundaries of the Great Basin Floristic Province (Bameby 1989) (see figure 3.17). Indeed, a ridge of species richness contours (not shown) runs parallel east of the boundary from central Utah, continuing south and curving to the west in southern Utah. The high level contours coincide with the Utah Plateaus. Two explanations are offered for these patterns. The first rests with the logical consequences of how floristic regional boundaries have been determined. Boundaries are defined by areas with high rates of change in species assemblies and/or areas of regional endemism. Floristic traits such as these lead to higher species richness values near boundaries. Perhaps a more encompassing explanation for these correspondences derives from the underlying topographic heterogeneity along the boundaries. Not only do the topographic features act as barriers to dispersal, but the topographic complexity may lead to higher rates of diversification (Cracraft 1985). Topographic discontinuities also have large impacts on local climate patterns, which further create environmental heterogeneity. Thus, for both ecological and evolutionary reasons, it is not surprising that high levels of species richness are found in south-central Utah and east-central California. During the search for the best possible source(s) of biogeographic data for this study, the large databases maintained by state governments and nonprofit organizations were seriously considered. Indeed, I held lengthy discussions about the attributes and availability of these data with a number of individuals involved in rare plant monitoring. Several matters became clear following these discussions and are worthy of mention. First, because each state or regional unit maintains its own data, the effort required to retrieve and organize the data would be enormous; further there would be no guarantee of obtaining all the data desired due to varying policies of dissemination. Further 67 ....ZNM. m .5335 00:25:00 .xbm ESE—Em" O .m—EOEEO ma O88:— o...“ Egon—Emma ESE—a? NE? nova—2.5m . usuuehufi we ova—u :aflisaefla 2: 5.53 mots—2.3 a 2: he 3mm: ESE—nag. 3. 2:5 O_. 5. NF aouersga apoN leuraiul aBeJaAv 80 Figure 4.5 Phylogeny of the Argophyllean clade of Astragalus with the positions of significantly asymmetrical subclades indicated with a black diamond O . The asterisk (*) indicates the region of the phylogeny with the highest net rate of diversification. 81 argophyllus zionis cyaneus callithrix columbianus parryi waterfallii feenis Iayneae casei pterocarpus tetrapterus iodanthus pseudiodanthas tidestromii amphioxys leucolobus tephrodes eurylobus iodopetalus shortianus nudisiliquus subthitus funereus neomexicanus inflexus dosereticus piutensis newberryi purshii uncialis musiniensis chamaeleuce cymboides missouriensis accumbens eurekensis castaneiformis consobrinus coccineus loanus lutosm OUTGROUP The preliminary assessment of rare species clustering is shown in figure 4.6. Each point on the bivariate plot represents the relative proportion of rare species in each of the 46 subclades with respect to the expected proportion of 0.36, indicated by a line. Points above the line represent subclades with higher proportions of the rarest species compared to the expected value. Inspection of this plot reveals points that are not far from the expected values. The statistical properties of this assessment are not known. Results from the phylogenetic clustering test using the log area of occupancy A, shown in figure 4.7, returned a probability (p = .089) and points toward an association between topological distance and area of occupancy A but does not meet standard significance levels. Results using log geographic extent E returned a probability (p = 0.25) and does not indicate an association. This latter result is shown in figure 4.8. Of the 17 rarest species in the study group, 11 were found among the 14 terminal pairs. The 200 trees with randomized placement of species averaged 9.8 rare species among the pairs. The distribution of these values is shown in figure 4.9. Although the observed number of rare species is greater than the expected value, it is not significantly different (p = .32) from that expected by chance. 4.4 DISCUSSION The principle aim of the research undertaken for this dissertation has been to explore patterns of rarity from a phylogenetic viewpoint The discussion of this undertaking will first focus on the basic findings presented in this chapter. Next, implications of these findings will be discussed and will include some results presented in earlier chapters. Potential limitations of this study will also be addressed. Finally, a summary, including a few speculations about the nature of rarity in the Argophyllean clade, will be offered. 82 non—209.6 :. convene .0 .383: Each we 09 Ne cw mm an em an an on ma um um ON 2. or cw NF 2. D D D D D D D D D D D D D D D D D D P on... u 8.2m 62; “.2398 $5352 on... ..Eoweisn 2: 5 meta—2.5m ea 2: he :93 .8.— mfiucam .53 25.5, 830% $98.— .ue «a... 3.3.3.»:— o m V N c n L - IIIIIO I I I O P I N P I I I Q 0 Q 1- 1- v- 3. 2&3 40 .IaqiunN saloads are: 83 0l96 0696 0LS6 0996 0896 0L96 m m «5:50.32 82. *0 cozaebflu 3:232 E30508 .255. wwmwmummmnmumnmmmmmmmmmma «wommuwommuwmmmuwmmmummmm 23. u 3:32.05 E 5 u o:_u> autumn... 20.05000 .0222 8:859 ace—E85 can 4.. 552—38 be 8.2 38. 9583.9 ougoweina 95 a: :33— : «Sufi 0L66 c w ON an ce cm cm on am am cc _. 84 Ir 6 9 9 0 0976 l 0986 l- mcozmgao. 83 no cos-523:9 «05.80.. «230530 .0222 OSZGL 09l6l 0906l 0968L 0988i OSLBL 0998L OSSBL 0978i 0988i OSZBL 05L8L 0908l mu. u 3.332.. 8mg u 2:: 32030 5205000 .2222 853%.. 25:32: 33 m «:35 92:5.»an 33. «5.3.3.9 o=o=cwe_.3a 2: Eat ...—mom , a... 2:5 096i l- c _. cN on oe on em on am cm 2: 85 23.30.32 can .. 20:2:sz 3:222 2.2. 35.52 measu «£02.» 2mm 3. 2 up 3 or o a b o:_m> 32030 ANQHE ad we 2:: 6292—5 2: Eat 320.56 22.35:»? 8: am who.— .afiEh: 2: 95:3 832% “3.8.. = ..e :58 2; 623% .53 .2:an mac—:5 832W «8.5.. 2: ac hug—E: Z 3. 2&3 86 4.4.1 Basic findings The clearest finding from the work presented in this chapter is that the Argophyllean clade of Astragalus is significantly asymmetrical. Eleven of the 19 tested subclades were found to be asymmetrical, clearly indicating diversification rate variation within the Argophyllean clade. Estimates of the direction of change were not possible, however, without data in which to estimate the timing of events in the phylogeny. Furthermore, because diversification rate is the net result of the speciation rate minus the extinction rate, inferences regarding changes in these two rates are also not possible (Sanderson and Donoghue 1996). Two scenarios might explain the diversification rate variation as illustrated within the example below. Consider the following phylogeny: |/--- High diversity (I!) / _____ \--- Low diversity (1.) \ ---------- Outgroup (0) With respect to the outgroup (O) lineage, the above pattern might be explained by: SCENARIO 1: Diversification rate increase in clade H is due to either: (a) an increase in the speciation rate in clade H or (b) a decrease in the extinction rate in clade H. SCENARIO 2: Diversification rate decrease in clade L is due to either: (a) a decrease in the speciation rate in clade L or (b) an increase in the extinction rate in clade L. Of course, more than one of these rate changes may occur simultaneously. 87 The Argophyllean clade is obviously more complex than the above three-taxon system. As such, it is reasonable to suppose that its diversification rates may have varied in more complex ways as well. Evidence from the asymmetry tests supports this. Furthermore, Wojciechowski et.al. (1993) speculate that the rate of diversification within Neo-Astragalus (also called the aneuploid groups), a well supported monophyletic assembly of nearly 500 species and the clade in which the Argophyllean clade is nested, may also have been heterogeneous based on their results. They suggest that "Groups that diverged early may have remained depauperate while those splitting off later radiated rapidly generating the bulk of diversity now evident within the aneuploid groups." Indeed, among the 93 sections that constitute what is now called Neo-Astragalus, one section, Argophylli, accounts for 10% of the species (Bameby 1964). Regarding the potential clustering of rare species in the phylogeny, the bivariate plot of the number of rarest species versus the total number of species (figure 4.6) and results from the phylogenetic clustering test suggest that rare species are not significantly clustered within the phylogeny. A few qualifications should be noted, however. In the case of the test based on area of occupancy A, the p-value of 0.89 is low, which may indicate a tendency toward clustering in the phylogeny. In the absence of a power analysis, it is not known how large a sample size is required to detect a significant difference. Therefore, failure to reject the null hypothesis should not mean acceptance of the null hypothesis. Another issue affecting the interpretation of these results is that this test included all taxa, not just the rarest. The clustering of some common or widespread species could also lead to lower probabilities. Of course, if all the common and widespread species were clustered, the rare ones would necessarily be clustered as well. Other findings are consistent with the conclusion of "no significant clustering," namely from results presented in chapter 3. The locations of the rarest 17 species are not 88 clustered geographically, as can be seen in figure 3.10 (chapter 3). Indeed, the two geographical pairs that overlap in their geographic extent E are not closely related species. Astragalus callithrix and A. uncialis of Nevada are very distantly related, and A. loanus and A. consobrinus of Utah are interrnediately related. One small clade of five species, A. neomexicanus, A. giganteus, A. mollisimus, A. helleri, and A. anisus, does appear to have a cluster of rarity (see figure 4.1). Three of the five species are rare and one is somewhat rare. Astragalus mollisimus is widespread. All five species are either regionally sympatn'c or are in close proximity to one another. Having offered this observation, it is also unlikely that this clade has a significant level of clustering or had much influence on the overall clustering test for the whole group owing to the small sample size of five. Another interesting finding is that Argophyllean rare species do not appear to be disproportionately newly derived. They appear both ancestral and newly derived, based on the sister group relationships. No direct estimation of time since divergence, from findings presented here, was attempted because this requires: 1) estimates of absolute time for at least one node in the tree, preferably at the base, 2) estimates of branch lengths, and 3) estimates of evolutionary rates among branches. In the case of the Argophyllean clade, the assumption of homogeneous evolutionary rates throughout the tree would be contrary to the evidence (significant asymmetry). Moreover, the use of branch lengths to assess evolutionary rates along the branches is difficult to support with morphological data that are inherently homoplasious. For these reasons, no assumptions were made with respect to evolutionary rate homogeneity among branches. An approximation of the relative timing of cladogenic events was assessed by considering the size of sister lineages. Among the 17 rare species, 11 are considered newly derived because their sister lineage size is one. They are thus members of terminal 89 pairs on the phylogeny. The ancestral rare species have sister lineage sizes of 46, 45, 31, 13, 4, and 4; the latter two are probably best considered somewhat newly or intermediately derived. Although 65% of the rarest species are members of the 14 terminal pairs, this is not significantly more than would be expected by chance according to the randomization test (p=.32). This is because 28 of the 47 terminal positions (60%) are part of the terminal pairs. Another important finding is that the Argophyllean clade of Astragalus has a disproportionate number of rare species, at least when viewed from the perspective of the genus as a whole. Among the 47 species in the lineage, 17 (36%) are rare by internationally accepted criteria This percentage is substantially larger than Astragalus as a whole ( 14%), its sister lineage Oxytropis + the Coluteoid clade (8%), and the Fabaceae (17%). More importantly, however, is that Neo-Astragalus, the clade in which the Argophyllean clade is nested, is not substantially different in its proportion of rare species (30%). These conclusions are drawn from comparisons of current findings with results and data from Sanderson and Wojciechowski (1996) and Walter and Gillett (1998) and are presented in figure 4.10. Sanderson and Wojciechowski (1996) also found evidence of a shift toward higher diversification rates at the base of the Astragalus + Oxyrropis + the Coluteoid clade (known collectively as the Astragalean clade) but did not find statistically significantly higher rates for Astragalus compared to Oxytropis or the Coluteoid clade, both of which are also quite diverse. They did not test for diversification rate variation within Astragalus. In a separate study, Wojciechowski, et. al. (1999) applied a simplistic molecular clock model to nuclear ribosomal ITS sequence data and crudely estimated the age of Astragalus at around 11 million years and Neo-Astragalus at around 4-5 million years. 90 Species richness in respective monophyletic assembledge 2496 Diversification rate increase 13,100 Figure 4.10 Percentage of rare species Astragalus 14% Nee-Astragalus 30% Argophyllean 36% Clade Oxytropis 5% Coluteoid 1 1% Clade FABACEAE 17% Proportion of rare species within monophyletic groups related to the Argophyllean clade. Diagram after Sanderson and Wojciechowski (1996). Rarity data from Walter and Gillett (1998). 91 With these estimates, net diversification rates can be estimated using a standard exponential model that assumes homogeneous rates: N(t) = e" (4.1) where N(t) represents standing diversity at time t, and r is net diversification (speciation minus extinction). This equation can be rearranged to give: 1' = ln N/t (4.2) Given the estimated age of Astragalus and Neo-Astragalus, the following rates are obtained (W ojciechowski, et. al. 1999): Astragalus 0.71 species/Myr Neo-Astragalus 1.48 species/Myr These finding suggest that Neo-Astragalus is diversifying at least twice as fast as Astragalus as a whole and perhaps faster, given that Neo-Astragalus is nested within Astragalus and thus adds a boost to the rate for the genus. Furthermore, this would put an age for the Argophyllean clade at 2.5 million years. This latter estimate is also a rough approximation especially in light of the evidence of heterogeneous evolutionary rates in the clade. 4.4.2 Implications of findings What are the implications of this work regarding the causes of rarity in the Argophyllean Clade? First, there is no suggestion that genealogical traits are correlated with rare status. 92 Correlations are used to estimate the phylogeny, and any phylogenetic correlations with rare status should result in the clustering of rare species in the phylogeny. Even if clustering were apparent, assessment of a possible correlation would require testing with an appropriate comparative method (Harvey and Page] 1991) to establish the significance of the correlation. The phylogeny was reconstructed using morphological traits and, to the extent that they have tracked diversification events of the group, we would expect to see clustering of rarity, if those traits were correlated with rare status. There is no suggestion of this. Even if other genealogical traits, such as root biochemical or physiological traits, are correlated with rare status, we should see clustering if the phylogenetic hypothesis is robust. Given the high levels of homoplasy in the group (as well in Astragalus generally), it is also possible that correlated traits with rare status are homoplasious and therefore do not cluster. Another implication of this work is that the genesis of rare species probably occurs more commonly via peripatric speciation. This conclusion rests on two lines of evidence. First, the Argophyllean clade is significantly asymmetrical. Recent investigations by Chan and Moore (1999) on the effects of mode of speciation on tree symmetry led them to conclude that asymmetry increases when significant time lags are built into modeling the branching process. The rationale for time lags under the peripatric speciation mode rests on the assumption that the likelihood of speciation increases with range size. Newly derived species are less likely to speciate because they are inherently small in range size. Time is required for their ranges to expand and lead to increased probability of speciation. Second, many biogeographic patterns among species pairs with rare species are consistent with a peripatric mode of speciation. Most of the recently derived rare species are adjacent to or nested within the range of their sister species (data not shown). Among the 11 rare species in terminal pairs, 7 are adjacent to their sister species. Two species, A. funereus and A. subvestitus, are each other's sister species and are in close proximity 93 to each other, similar to the seven species. The rare A. uncialus of Nevada is somewhat distant from its sister species, A. musiniensis, found in eastern Utah. The most extreme disjunction is the rare species A. columbianus of Washington, whose sister species, A. parryi, is found in Colorado and southeast Wyoming. Taken together, most of the rare species are geographically located consistent with peripatric speciation. Because peripatric speciation leads to the emergence of new species that are rare, shifts toward higher speciation rates may lead to a proportional increase in the number of rare species. Speciation rate variation may result from either intrinsic or extrinsic causes or both. Intrinsic causes include genealogical traits that either forestall extinction and thus provide greater opportunities for speciation to occur or result in higher absolute rates of speciation. Speciation rates might also increase for extrinsic reasons, such as climate change or radiation of lineages into regions with greater topographic complexity and/or habitat heterogeneity (Cracraft 1986). Speciation rate variation can thus be lineage specific or episode specific. We know from geological and climate studies that North America has undergone great climate changes during the last 100,000 years, plenty of time for new species to evolve via peripatric speciation. Indeed, during the Pleistocene, large areas of the Great Basin— the center of Argophyllean diversity—were inundated with inland lakes and its mountain ranges were covered with glaciers (Tierney 1995). Many of these areas are now inhabited by Argophyllean species. It remains to be seen whether new species occupy areas that were unavailable in recent times. Nevertheless, climate change has been an influential factor for the Argophyllean species. Although it is likely that significant episodes of climate change can cause speciation rate variation across time, it is difficult to assess the degree to which episodic speciation has occurred in the group because of the problems of timing. In spite of some evidence suggesting increased diversification as a possible explanation for the rarity in this study group, the effect of extinction due to demographic 94 decline cannot be ignored. Indeed, extinction processes are likely to affect a number of rare species in the group. Unfortunately, little is know about extinction events because no fossil record exists for the group. Among the four ancestral rare species in the group, as measured by the size of the sister lineages, two species, A. loanus and A. desereticus are found in habitats common for other Astragalus species and species of other genera. Given that they are rare in a common habitat and are relatively old based on time since divergence, these two species may be going extinct and may be the last descendants of a more widespread species or a more diverse lineage from the past. The two other species, A. lutosus and A. callithrix, are found in unusual habitats and are not, therefore, likely to be rare because they are going extinct, although they are probably very vulnerable to extinction because of their small range size. These two species probably adapted to their unique habitats far in the past and have continued to persist as rare species. They were probably never widespread and are less likely to have been part of a more species rich lineage of the past that is now going extinct. Finally, results presented in this chapter, taken with the work of others, strongly suggest that elucidating the reason for the high proportion of rare species in the Argophyllean clade is best studied from within the Neo—Astragalus clade. This simple conclusion rests on the fact that the proportion of Neo-Astragalus species that are rare is very similar to that of the Argophyllean clade and because of the evidence of a diversification rate shift toward higher rates in Neo-Astragalus. If genealogical traits do exist that are correlated with rare status, they may have evolved before the evolution of the Argophyllean clade. Furthermore, many other questions will be easier to test statistically with a larger study group. Indeed, if the whole Neo-Astragalus clade were used, the sample size would increase approximately tenfold. 95 4.4.3 Summary In summary, evidence for the hypothesis that high rates of diversification and local speciation have led to high proportions of rare species in the Argophyllean clade is equivocal. Significant clustering of rare species and a significant preponderance of newly derived rare species were not found. However, these results are not sufficient to reject the hypothesis because alternative explanations may account for these findings. The existence of specific attributes leading to rarity in the Argophyllean clade also remains an open question. Nevertheless, several conclusions can be drawn from the present work and are offered below. First, some lineages of the Argophyllean clade have experienced higher net rates of diversification than other lineages in the group. Moreover, the clade is nested within two larger assemblies, the Neo-Astragalus and Astragalean clades, which have experienced rate shifts toward higher diversification (Sanderson and Wojciechowski 1996; Wojciechowski et. al. 1999) Second, peripatric speciation is probably the most common mode of speciation in the group, given the highly asymmetrical topology of the phylogeny. Asymmetrical phylogenies are consistent with peripatric speciation tree branching models. Also, biogeographic evidence presented in chapter 3 is consistent with peripatric speciation. Third, the Argophyllean clade clearly has a higher proportion of rare species compared to Astragalus and the Fabaceae; however, the clade does not have a higher proportion of rare species compared to Neo-Astragalus. Clade specific attributes of Neo-Astragalus may account for the high proportion of rare species in the group. The Argophyllean clade of 47 species (10% of Neo-Astragalus) is most likely too small to uncover the presumed patterns in the phylogeny. At the phylogenetic scale of the Argophyllean clade, the position of rare species is likely to appear random, which might 96 explain the lack of significant clustering of rarity in the group and that newly derived rare species are not more frequent than expected by chance. Forth, extinction is most probably contributing to rarity in concert with rapid local diversification. The effect may be somewhat smaller in the Argophyllean clade compared to Neo-Astragalus. Finally, although it is evidently "not necessary to seek explanations for the 'exceptional' diversity of Astragalus" (Sanderson and Wojciechowski 1996), explanations for the high proportion of rare species within the Neo-Astragalus and Argophyllean clades remain a mystery and are worthy of further investigation. 97 APPENDICES U m N N. _ N «van 333233: u u S NNN 23 exegesis o N N me no: seen u u 8 N_N 9:5 $2.3 6 N «N SN 3.: assets? 0 o as NNN :8 2.53:3 m N N «N as? 8332.9 O U wv mNN and: 336.2838 0 m NN EN .255 33352.5 6 o t. 8N as." 323%: o N _N mmN «use seesaw u u 8. NNN ass. Ensues u N 8 we 83 3888s.. 0 u 9. MN 53 63:38 N m 2 EN 23 338:3 6 u a. NE on». 33%»; N N 2 SN 5% 326% u u a. NVN .38 223%.. N N : 3N noon 65$ 0 0 Ne EN 33 35:33.. o N 2 SN :23 Sensesssa o o 3. EN :3: asses: N N 2 NNN .53 sass u u 9. :2 .33 883? m N 3 SN 38 .. 3:828 o u on EN 3.: 3%... N N 2 SN 33 325 U U m m NMN Hid." 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