Biology of the Study Species Silene acaulis (Caryophyllaceae; “moss campion”) is a long-lived cushion plant found in alpine and arctic tundra throughout the circumboreal zone (Hultén 1974). Each cushion has a single taproot, and branches do not root adventitiously, so individuals are easy to distinguish. Moss campion flowers are insect pollinated and produce fruits at the end of the growing season. Polygonum viviparum (Polygonaceae; “bistort”) is a circumboreal geophyte. Each ramet consists of 1-4 basal leaves and 0-2 inflorescences (occasionally more) that arise from a single unbranched rhizome (Diggle 1997). Bistort produce asexual bulbils instead of flowers at most inflorescence nodes (Bauert 1993, Diggle et al. 1998). Dispersed bulbils may root to produce new recruits (“bulblings”), which is the only form of reproduction we have observed at any of our sites. The Study Populations The names and locations of all sites for which demographic data are included in the archive are given in Table 1 (see Fig. 1 for a map of sites). All populations were censused every year between the first and last census. We began following populations of moss campion in Alaska’s Wrangell Mountains in 1995. Data prior to 2001 are not included in the archive, but are available from the authors upon request; this includes data for three additional moss campion populations in the Wrangell mountains that were censused annually from 1995 to 2001, but then discontinued). Two Wrangells populations (PA and RI) begun in 1995 continue to be censused annually, and three additional populations begun in 1998 are still being censused. In 2001, we initiated 12 additional moss campion populations (four each at Toolik Lake, Banff National Park, and Niwot Ridge) and we initiated 16 bistort populations (4 each at Toolik, Wrangells, Banff, and Niwot). Censuses of all populations of both species in Banff National Park were discontinued after the 2006 census. Finally, two populations of each species were initiated at Latir Peaks Wilderness in New Mexico, one in 2007 and one in 2008. In each region, we chose study populations based on several criteria. First, populations were placed sufficiently far apart as to render significant seed or bulbil dispersal extremely unlikely over yearly or decadal timescales. The minimum distance between study populations Fig. 1. Map of the regions with past and ongoing data collection. Data collection was ended in the Banff region in 2006, in order to establish the more southerly Latir Peaks region. of either species is ~300 meters. Detailed mapping of moss campion seedlings has shown that very few seedlings are found >10cm from the edge of parent plants. Bistort bulbils are even larger than moss campion seeds and like them have no dispersal mechanisms other than gravity. Second, in each region we sought to place populations in areas with the full range of typical local growing conditions. In particular, we deliberately placed half the populations in each region in more mesic and the other half in more xeric conditions (analyses have shown no significant effects of these microsite conditions on vital rates). Finally, logistical constraints (between- population travel times and the availability of secure research sites) led us to cluster populations at each latitude into relatively narrow regions. In some regions, the placement of our study populations makes them truly distinct, with few or no conspecifics in intervening areas. However, for other regions, plants of both species occur extremely widely, such that some of our study populations are not discrete population units. Field Methods In our field censuses, we assessed the demographic fate of marked individuals every year. Every plant encountered along randomly located transects in each population was mapped and marked with a permanent metal tag (large moss campion plants) or a color-coded plastic toothpick (small moss campion and all bistort). We relocated marked plants each year, and recorded survival, size, and reproductive output. We also quantified recruitment of new individuals and added these new individuals to our set of annually monitored plants. Transect ends were marked with long metal spikes driven into the ground, allowing us to accurately replace the transect tape each year and to relocate all plants. Transects were typically 0.5 m wide, although at some moss campion sites with low plant densities we used transects up to 5 m wide to obtain an adequate number of plants for a demographic study. High density bistort sites are sometimes narrower (0.20-0.30 m). At some populations of both species, transects were double sided (i.e., we included plants on both sides of the transect tape). At one extremely dense bistort population in the Banff region (population BC2), now discontinued, it was not feasible to mark all plants in even very narrow transects, so we used a different sampling strategy. Here, we choose coordinates on a 5 x 5 cm grid within the transect. At each set of coordinates, we searched for the nearest bistort. If the nearest plant was within 2 cm of the starting coordinates, we mapped, marked, and followed this individual. Moss campion cushions extend by the addition of new branch tips that appear at the surface of the cushion. We measured plant size by counting branch tips or (for plants with 20 or more branch tips) by determining the two-dimensional area of the cushion. From 2001 to 2006, we measured cushion area by photographing plants in the field with digital cameras and then applying image analysis software to determine area. Before and after this period, we determined cushion area by measuring the major and minor axes of each cushion and visually estimating the percent of the hypothetical ellipse defined by those axes that was “missing” (e.g., dead moss campion tissue, rocks, or other vegetation). Areas determined by the two methods were highly correlated. We measured reproductive output for moss campion by counting the number of fruits (which are retained to the end of the growing season). Each year we also searched for and mapped new recruits within a 10cm radius of 10-20 randomly chosen focal plants large enough to reproduce in each population. For every bistort plant, we counted the number of leaves, measured the size of the longest leaf, and measured the length of the inflorescence that bore flower and the length that bore flowers. Leaf number includes all basal leaves, of whatever size, as well as all cauline leaves of greater than 1 cm length. From 2001 to 2006, we measured the length and the width of the longest leaf in each year. The product of the estimated area of the largest leaf and leaf number then provides an excellent prediction of total leaf area (linear regression of total leaf area on the product of predicted largest leaf area (pi*length*width/4) and the number of leaves and with zero intercept: total area = 0.570*(largest leaf area*leaf number); r2 = 0.965, n=51). From 2007 onwards, we measured only the length of the longest leaf, but not its width, as we can still obtain excellent estimates of total plant leaf area with only the length measure and the leaf number (linear regression of total leaf area on the product of longest leaf length and the number of leaves and with zero intercept: total area = 4.388*(longest leaf length *leaf number);, r2 = 0.953, n=51). We estimated the number of bulbils on bistort plants by measuring the length of the bulbil-producing portion of each inflorescence and then used a regression of bulbil number on length (bulbil number = 5.487 + 0.983*Length; r2 = 0.49, n=415). To quantify the translation from bulbils to new recruits, each year we searched for, marked, and followed new bulblings (newly recruited plants arising from bulbils) in subsections of the transects. Estimates of recruitment rates come from regressions of new bulbling numbers on the total bulbils produced the previous year in these searched areas. iButton data loggers were deployed at each population starting in 2008. From two to seven iButtons are left at each population over each year: the loggers are retrieved and re-deployed while visiting the sites for demographic data collection, from late July to mid-August. Each iButton is placed in a small, sealed plastic jar that also contains desiccant, and buried so that the jar’s surface is from 1 to 3 cm below the soil surface. The locations of the loggers is kept constant from year to year to increase comparability of data across years. Table 1A: Population names, locations, and years of data collection for moss campion (Silene acaulis) Population Name ST1 ST2 ST3 ST4 AB BV GC PA RI SC1 SC2 SC3 SC4 SN1 SN2 SN3 SN4 SL1 SL2 Location Toolik Lake LTER Site, Alaska, USA Toolik Lake LTER Site, Alaska, USA Toolik Lake LTER Site, Alaska, USA Toolik Lake LTER Site, Alaska, USA Wrangell St. Elias National Park, Alaska, USA Wrangell St. Elias National Park, Alaska, USA Wrangell St. Elias National Park, Alaska, USA Wrangell St. Elias National Park, Alaska, USA Wrangell St. Elias National Park, Alaska, USA Banff National Park, Alberta, Canada Banff National Park, Alberta, Canada Banff National Park, Alberta, Canada Banff National Park, Alberta, Canada Niwot Ridge LTER Site, Colorado, USA Niwot Ridge LTER Site, Colorado, USA Niwot Ridge LTER Site, Colorado, USA Niwot Ridge LTER Site, Colorado, USA Latir Peaks Wilderness, New Mexico, USA Latir Peaks Wilderness, New Mexico, USA Latitude (N) Longitude (W) Year of first census1 Year of last census2 68.72102 149.04736 2001 2011 68.61435 149.65048 2001 2011 68.61825 149.68735 2001 2011 68.71893 149.05435 2001 2011 61.52666 142.86337 1998 2011 61.48848 142.81171 1998 2011 61.51342 142.84445 1998 2011 61.48917 142.82150 1995 2011 61.49036 142.81453 1995 2011 52.18089 117.12188 2001 2006 52.18243 117.13224 2001 2006 52.19353 117.15560 2001 2006 52.19466 117.15340 2001 2006 40.05523 105.58654 2001 2011 40.05648 105.59731 2001 2011 40.05514 105.59736 2001 2011 40.05638 105.58373 2001 2011 36.78601 105.46595 2007 2011 36.79594 105.48281 2008 2011 1 Data for years prior to 2001 available from the authors by request. 2 Demography censuses are continuing for all populations last censused in 2011. Table 1B: Population names, locations, and years of data collection for bistort (Polygonum viviparum) Population Name BT1 BT2 BT3 BT4 BW1 BW2 BW3 BW4 BC1 BC2 BC3 BC4 BN1 BN2 BN3 BN4 BL1 BL2 Location Toolik Lake LTER Site, Alaska, USA Toolik Lake LTER Site, Alaska, USA Toolik Lake LTER Site, Alaska, USA Toolik Lake LTER Site, Alaska, USA Wrangell St. Elias National Park, Alaska, USA Wrangell St. Elias National Park, Alaska, USA Wrangell St. Elias National Park, Alaska, USA Wrangell St. Elias National Park, Alaska, USA Banff National Park, Alberta, Canada Banff National Park, Alberta, Canada Banff National Park, Alberta, Canada Banff National Park, Alberta, Canada Niwot Ridge LTER Site, Colorado, USA Niwot Ridge LTER Site, Colorado, USA Niwot Ridge LTER Site, Colorado, USA Niwot Ridge LTER Site, Colorado, USA Latir Peaks Wilderness, New Mexico, USA Latir Peaks Wilderness, New Mexico, USA Latitude (N) Longitude (W) Year of first census Year of last census1 68.61678 149.66879 2001 2011 68.61838 149.68799 2001 2011 68.71906 149.03471 2001 2011 68.71729 149.04411 2001 2011 61.48942 142.82079 2001 2011 61.48875 142.81323 2001 2011 61.49247 142.81970 2001 2011 61.49082 142.82068 2001 2011 52.18492 117.12016 2001 2006 52.18444 117.12016 2001 2006 52.19413 117.15423 2001 2006 52.19361 117.15556 2001 2006 40.05674 105.59755 2001 2011 40.0562 105.60034 2001 2011 40.05450 105.58354 2001 2011 40.05542 105.58720 2001 2011 36.79633 105.47019 2007 2011 36.79708 105.47570 2008 2011 Description of the moss campion transect files: A separate file for each population contains the data for plants located along the transects that were laid out when the population was initially censused. Rows are individual plants (only 1 row per plant) and sets of columns correspond to successive annual data. A typical file has the following columns (in order): trans Plt X Y The transect on which the plant was found Plant ID: an unique alphanumeric indicator for each plant The position of the plant along the transect tape (in cm) Perpendicular distance of the plant from the transect tape (in cm); can be negative for two-sided transects The following 10 columns are for 2001, and are repeated for 2002 to 2006: flr01 Number of flowers on the plant that did not produce fruits frt01 Number of mature fruits ros01 Number of “rosettes” (branch tips) on the plant notes01 Notes about permanent features of the plant comm01 Comments about temporary features of the plant (such as that it had died back since the previous year photo01 The photograph number of the plant (photos available upon request) totarea01 The total area encompassed by the photograph areafract01 The percent of the total photograph area that represents the plant area01 The area of the plant (in square centimeters) [ = totarea x areafraction /100 ] alive01 = 1 if the plant was alive in that year, 0 if the plant died that year, and blank for all years after the plant died (and for years – if any – before the plant entered the study) The following 10 columns are for 2007, and are repeated for 2008 to 2011: Trans07 Transect (same as first column of the file) Plt07 Plant ID (same as second column of the file) X07 The position of the plant along the transect tape (in cm) [could be different than the number in the 3rd column of the file if the plant was poorly mapped initially] Y07 The distance of the plant from the transect tape (in cm) [could be different than the number in the 4th column of the file if the plant was poorly mapped initially] Ros07 Number of “rosettes” (branch tips) on the plant Frt07 Number of mature fruits A1-07 Length of the longest (major) axis of the cushion (in mm) A2-07 Length of the minor axis of the cushion (in mm); minor axis is the longest axis perpendicular to the major axis PM-07 Percent of the ellipse defined by the major and minor axes that is “missing” Area07 Plant area (in cm2); = Pi*A1*A2*(100 – PM)/40000 Notes07 Notes about permanent features of the plant Comm07 Comments about temporary features of the plant Alive07 = 1 if the plant was alive in that year, 0 if the plant died that year, and blank for all years after the plant died (and for years – if any – before the plant entered the study) After 2006, plants that were composed of separate parts (rather than a single compact cushion) were measured as multiple pieces, each of which was treated as an ellipse and the total area of the plant was the sum of the areas of the elliptical pieces. In these cases, A1, A2, and PM will include separate numbers for each piece, delimited by commas. Note that the major and minor axes are measured in mm but area is in cm2. Typically a plant will have either an entry in the Ros column or entries in the A1/A2/PM columns, but not both, because we employed the measurement rule that any plant with fewer than 20 rosettes would have its rosettes counted only, while any plant with 20 or more rosettes would have its major and minor axes and percent missing measured. Occasionally plants with close to 20 rosettes will have both measures. Plants with fewer than 20 rosettes rarely produce fruits. Blanks in the Frt columns mean that the plant produced no fruits that year. For two populations, the files contain additional columns. The RI population has two doublesided transects (with sides labeled L for left and R for right), but some plant numbers (Plt) were used for different plants on the two transects. Columns labeled ID are unique plant identifiers (e.g., “3-1R” and “3-2R”) constructed by combining the plant number with the transect. In the SL2 population, all plants are marked with colored plastic toothpicks instead of numbered metal tags. Additional columns indicate the type of toothpick marking each plant, using a two letter code [ the first letter indicates the color of toothpick: (r)ed, (b)lue, (g)reen, (w)hite, (o)range, or (y)ellow; the second letter indicates the marker on the toothpick from suits of playing cards: (c)lub, (h)eart, (s)pade, or (d)iamond ] Description of the moss campion focal plant files We used a method separate from the transects to quantify moss campion recruitment: we searched for and followed small plants that were the offspring of a set of “focal” plants in each population, so that we could quantify the number of seedlings in subsequent years resulting from the fruits produced by the focal plant. These studies also provided information about the survival of seedlings and of plants in the next older life stage (which we call “one-rosette” plants in reference to their single branch tip with its whorl of leaves). Beginning in 2002 in all moss campion populations that had been initiated in 2001 or earlier and that were still being censused, we haphazardly chose 10 to 20 focal plants in each population that had produced fruits in 2001 or 2002. At the two Latir populations, focal plants were chosen in the year each population was initiated, from among the plants with fruits that year. Each year, we searched for new seedlings and one-rosette plants within a 10 cm radius from the edge of the focal plant. Seedlings (plants in their first year of life above ground) are easily distinguished from one-rosette plants by the presence of cotyledons on the former and the presence of dead leaves from previous years on the latter. We mapped each small plant in relation to the center of the focal plant, measured its distance from the focal plant’s edge, and marked it with a plastic toothpick. A separate file for each population contains the data for the small plants (seedlings and one-rosette plants) found around each focal plant. All files have the following columns: Focal X Y Dist Ros Tp Notes Unique identifier of the focal plant, corresponding to that plant’s entries in the transect files X coordinate (in cm) of the small plant in relation to the center of the focal plant (at X=0) Y coordinate (in cm) of the small plant in relation to the center of the focal plant (at Y=0) Distance (in mm) of the small plant from the edge of the focal plant Size of the small plant Type of toothpick marking the small plant (see codes in transect file descriptions) Notes about permanent features of the small plant(s) Comm Plt Trans Year Comments about temporary features of the small plant(s) A unique alphanumeric identifier for each small plant The transect on which the focal plant is found Year of the census X and Y coordinates were used to make maps of the small plants around focal plants with many offspring, to make it easier to relocate them and in case the toothpick was missing. Plant size recorded in the Ros column was typically either “Sd” or “sd” for a seedling or “1” for a one-rosette plant. When multiple small plants were too close to one another to me marked by separate toothpicks, they were included as a group of plants marked by a single toothpick and recorded on a single row of the data file in each year. In these cases, the Tp column indicates both the toothpick type and the number of small plants (e.g., “Rh3” indicates three small plants marked with a single red heart toothpick), and the rosette column contains a character string indicating the types of plants present (e.g., “2 1ros 1 sd” would indicate that the single red heart toothpick is marking two one-rosette plants and one seedling) When a small plant that had been marked in a previous year was found to have died, the death is indicated by “Dead” or “D” or “Dd” or “dd” in the Ros column in the year of death. Data file rows representing a group of multiple small plants might include a character string that indicates some or all of the plants in that group had died (e.g., “3Dd” indicates that the three plants from the previous census had died in the intervening year, and “2 1ros 1 dd 1sd” indicates that of 3 plants in that group in the previous census, 2 were now one-rosette plants, one had died, and a new seedling had appeared at that location. MATLAB programs to extract from the focal plant files information about seedling recruitment and survival of seedlings and one-rosette plants are available from the authors upon request. In the focal plant files, each small plant is represented by a series of rows for the years it was still alive. Thus unlike in the transect files, in which each plant has a single row and subsequent sets of columns represent successive years, in the focal plant files each small plant can have multiple rows (but only 1 row per year). Description of the bistort transect files: A separate file for each region contains separate sheets of data for each population in that region. Rows are individual plants (only 1 row per plant) and sets of columns correspond to successive annual data. A typical file has the following columns (in order): Tr X Y TP The transect on which the plant was found. Many bistort populations only have a single transect, and for these there is no transect column. The position of the plant along the transect tape (in cm) Perpendicular distance of the plant from the transect tape (in cm); can be negative for two-sided transects The color and suite of the toothpick that marks each plant. Unlike our methods for moss campion, we do not give unique numbers or tags to bistorts, and identify them only by location and the toothpick marking each. The following 10 columns are for 2001 (or 2007 or 2008, the first years for the two Latir Peaks populations), and are repeated for 2002 through the last census, with exceptions as noted below: L01 Length of the longest leaf W01 Greatest width of the longest leaf. This measurement was discontinued in 2006 at all sites but Niwot. For these populations, width was recorded up to 2006, and then again in 2009 (but not in 2007, 2008, or thereafter). N01 Number of leaves inf01 Number of inflorescences stlk01 The length of the inflorescence stalk below the zone bearing bulbils or flowers. This measurement was discontinued after 2006. blb01 The length of the inflorescence stalk bearing bulbils. flr01 The length of the inflorescence stalk bearing flowers. herb01 Whether there was significant herbivore damage to leaves or the inflorescences of the plant. Missing data in the primary data columns are indicated by two different codes: -100 indicates a plant that either didn’t exist or was not found in a given year – that is, that is was missing and not locatable. This code is used both for years before a plant was ‘born’ or before it was first censused, and also for plants that were assumed to have died after multiple years of not being found. Some plants that were simply missed in previous years are added each year, so that not all new plants are new bulblings. Because bistorts occasionally seem to remain dormant through a year, and also sometimes have missing or dead leaves at the time of our censuses, we generally only conclude that a bistort has died if we can’t find it three years in a row. The second code used to denote missing data is zero: this is used in a year when the marker for a plant was found, but the plant itself was not seen. In these cases, 0 in the leaf number column indicates that there were no leaves, while 0 in other columns indicates that there were no measurements possible. Description of the bistort recruitment file: A single file (bistortbulblings2001_2011.xls) contains the summarized recruitment data for each population and year. As described above, defined areas of each population are searched for new recruits (“bulblings”) each year. We summarize the bulblings found, along with the bulbils produced on plants within these areas in both the current and previous year. This file has the following columns (in order): Region Population Year A code for the study region (BL = Latir, BN = Niwot, BC = Canada, BW = Wrangells, BT = Toolik). A number indicating the population number within this region. Excect for Latir, where we have only 2 populations, there are four populations per region. The year, coded as 1=2001 to 11=2011. Bulbils, previous year This column contains the estimated number of bulbils produced on plants within in the previous year, within the areas of the transects of a population searched for new bulblings. Bulbils, current year This column contains the estimated number of bulbils produced on plants in the current year, within the areas of the transects of a population searched for new bulblings. Summed bulbils As implied, the sum of the bulbils produced in the two years. New Bulblings The total number of bulblings found within the searched area of a population in a given year. Note that we show data up until the last year each population was surveyed (2011 except for the Canadian populations), and starting with the year after each population was surveyed, when we could first search for new recruits. Description of the iButton temperature data files: A separate file is given for each iButton in each year. In addition, a master excel file that shows the correspondence of different file names (for the same iButton location in different years) is also given. The file names all have a standard format: First, the population name, corresponding to the codes given in Tables 1A and 1b above; second, an indication of the position of the iButton location in the population; and, third, the year in which the iButton was collected and downloaded. The codes for location include the transect (A, B, C, etc) for populations with more than one transect and either the position on the transect (Start, End, or the meter along the transect) or the number of a mapped plant that the iButton was placed next to. The file filenames2009_2011.xls gives the names for each iButton location and the number of observations taken in each annual deployment. The code of NA in observation number columns indicates that the iButton was not deployed or was lost. Each iButton was set to record temperatures at 255 minute intervals. Each data file is a comma delimited text file with the following columns (in order): date time AM/PM Temperature Units Temperature Date as month/day/year, where year is a two number code (e.g., 10 = 2010) A 12-hour time code wt hours: minutes: seconds A code for morning or afternoon time periods Always equal to C for Celsius Degrees Celsius References for Supplementary Methods Burnham, K. P. and D. R. Anderson. 2002. Model selection and multimodel inference : a practical information-theoretic approach. 2nd edition. Springer, New York. Bauert, M. R. 1993. Vivipary in Polygonum viviparum – an adaptation to cold climate. Nordic Journal of Botany 13:473-480. Bowman, W.D., J.T. Gartner, K. Holland, and M. Wiedermann. 2006. Nitrogen critical loads for alpine vegetation and terrestrial ecosystem response: are we there yet? Ecological Applications 16:1183-1193. Davis, M.B. and Shaw, R.G. 2001. Range shifts and adaptive responses to Quaternary climate change. Science 292: 673–679. Comps, B., Gömöry, D., Letouzey, J., ThiÄ—baut, B. and Petit, R.J. 2001. Diverging trends between heterozygosity and allelic richness during postglacial colonization in the European beech. Genetics, 157:389–397. Diggle, P. K. 1997. Extreme preformation in alpine Polygonum viviparum: an architectural and developmental analysis. American Journal Of Botany 84:154-169. Diggle, P. K., S. Lower, and T. A. Ranker. 1998. Clonal diversity in alpine populations of Polygonum viviparum (Polygonaceae). International Journal Of Plant Sciences 159:606-615. Gross, K., W. F. Morris, M. S. Wolosin, and D. F. Doak. 2006. Modeling vital rates improves estimation of population projection matrices. Population Ecology 48:7989. Hall, Dorothy K., George A. Riggs, and Vincent V. Salomonson. 2006, updated daily. MODIS/Terra Snow Cover 8-Day L3 Global 0.05deg CMG V005, 2001-2006. Boulder, Colorado USA: National Snow and Ice Data Center. Digital media. Hinzman, L.D. and 34 others. 2005. Evidence and implications of recent climate change in northern Alaska and other arctic regions. Climatic Change 72:251–298 Hobbie. S.E. 1996. Temperature and plant species control over litter decomposition in Alaskan tundra. Ecological Monographs. 66:503—522. Hultén, E. 1974. Flora of Alaska and Neighboring Territories. Stanford University Press, Stanford. Hurvitch, C. M. and C. L. Tsai. 1989. Regression and time-series model selection in small samples. Biometrika 76:297-307. Kendall, B.E. 1998. Estimating the magnitude of environmental stochasticity in survivorship data. Ecological Applications 8:184-193. Inouye, D.W. 2008. Effects of climate change on phenology, frost damage, and floral abundance of montane wildflowers. Ecology 89:353-362. Martin, P.R. and McKay, J.K. 2004. Latitudinal variation in genetic divergence of populations and the potential for future speciation. Evolution 58:938–945. McGuire, A.D., C. Wirth, M. Apps, J. Beringer, J. Clein, H. Epstein, D.W. Kicklighter, J. Bhatti, F.S. Chapin III, B. de Groot, D. Efremov, W. Eugster, M. Fukuda, T. Gower, L. Hinzman, B. Huntley, G.J. Jia, E. Kasischke, J. Melillo, V. Romanovsky, A. Shvidenko, E. Vaganov, and D. Walker. 2002. Environmental variation, vegetation distribution, carbon dynamics, and water/energy exchange in high latitudes. Journal of Vegetation Science 13:301-314. Morris, W. F. and D. F. Doak. 1998. Life history of the long-lived gynodioecious cushion plant Silene acaulis (Caryophyllaceae), inferred from size-based population projection matrices. American Journal Of Botany 85:784-793. Morris, W. F. and D. F. Doak. 2002. Quantitative Conservation Biology: Theory and Practice of Population Viability Analysis. Sinauer Associates, Sunderland, MA. Morris, W. F. and D. F. Doak. 2004. Buffering of life histories against environmental stochasticity: accounting for a spurious correlation between the variabilities of vital rates and their contributions to fitness. American Naturalist 163:579-590. Morris, W.F., and D.F. Doak. 2005. How general are the determinants of the stochastic population growth rate across nearby sites? Ecological Monographs 75: 119-137.