Fronts from complex two-dimensional dispersal kernels: theory and application to Reid's paradox

Bimodal dispersal probability distributions with characteristic distances differing by several orders of magnitude have been derived and favorably compared to observations by Nathan [Nature (London) 418, 409 (2002)]. For such bimodal kernels, we show that two-dimensional molecular dynamics computer simulations are unable to yield accurate front speeds. Analytically, the usual continuous-space random walks (CSRWs) are applied to two dimensions. We also introduce discrete-space random walks and use them to check the CSRW results (because of the inefficiency of the numerical simulations). The physical results reported are shown to predict front speeds high enough to possibly explain Reid's paradox of rapid tree migration. We also show that, for a time-ordered evolution equation, fronts are always slower in two dimensions than in one dimension and that this difference is important both for unimodal and for bimodal kernels

'The debatable territory where geology and archaeology meet': reassessing the early archaeobotanical work of Clement Reid and Arthur Lyell at Roman Silchester

The first large-scale archaeobotanical study in Britain, conducted from 1899 to 1909 by Clement Reid and Arthur Lyell at Silchester, provided the first evidence for the introduction of Roman plant foods to Britain, yet the findings have thus far remained unverified. This paper presents a reassessment of these archaeobotanical remains, now stored as part of the Silchester Collection in Reading Museum. The documentary evidence for the Silchester study is summarised, before the results are presented for over a 1000 plant remains including an assessment of preservation, identification and modern contamination. The dataset includes both evidence for the presence of nationally rare plant foods, such as medlar, and several archaeophytes. The methodologies and original interpretations of Reid and Lyell’s study are reassessed in light of current archaeobotanical knowledge. Spatial and contextual patterns in the distribution of plant foods and ornamental taxa are also explored. Finally, the legacy of the study for the development of archaeobotany in the 20th century is evaluated.

1998 University of Michigan Baseball Team

4th Row: (12) Nick Alexander, Jeff Van Sickle, Mike Seestedt, David Parrish, Rob Bobeda, J.J. Putz, Bryan Cranson, Joe Young, Brian Berryman, John Papp, Ryan Kelley, Vince Pistilli.

3rd Row: (12) Trainer Rex Thompson, Jason Alcaraz, Pete Martay, Brian Bush, Robbie Reid, Matt Herr, Luke Bonner, Mike Haskell, Bryce Ralston, Bobby Scales, Dan Sanborn, Student Trainer Rich Wright.

2nd Row (12) Derek Besco, Mario Garza, Jr., Mike Hribernik, Tyler Steketee, Brian Steinbach , Assistant Coach Chris Harrison, Head Coach Geoff Zahn, Assistant Coach Matt Hyde, Brian Kalczynski, Mick Kalahar, Mike Cervenak, Bryan Besco.

Front Row: (11, Sitting) Student Manager Josh Taft, Seth Greene, Kevin Quinn, Bill LaRosa, Scott Tousa, C.J. Ghannam, Stephen Lenick, Andy Hood, Mike Norkus, Student Manager Jeff Singer, Groundskeeper Erich Keil.

1999 University of Michigan Baseball Team

4th Row: (12) Trainer Joel Pickerman, Nick Alexander, Vince Pistilli, Nate Wright, Kirk Taylor, Phil Lorbert, Jeff Trzos, Nick Bellows, Joe Young, Jeff Sandor, Mike Sokol, Student Trainer Jaye Peterson.

3rd Row: (12) Rob Bobeda, David Parrish, Bryan Cranson, Dan Sanborn, John Papp, Robbie Reid, Luke Bonner , Ryan Kelly, Pete Martay, Andy Hood, Bryce Ralston, Student Trainer Todd Sonquist.

2nd Row (11) Mike Seestedt, Brian Bush, Jason Alcaraz, Mike Cervenak, Assistant Coach Chris Harrison, Head Coach Geoff Zahn, Assistant Coach Matt Hyde, Assistant Coach John Edman, Bobby Scales, J.J. Putz, Bryan Besco.

Front Row: (10, Sitting) Student Manager Josh Taft, Bobby Korecky, Jay Dines, Scott Tousa, C.J. Ghannam, Kevin Quinn, Bill LaRosa, Dan Dombos, Aaron Wilkens, Student Manager Jeff Singer.

Lawrence Reid, UM Football, vs Indiana, 1979

[Reid caught Wrangler's pass at mid-field and fumbled out-out-bounds ]

University of Michigan Men's Basketball Team, 1998

Back Row: ?, ?, Travis Conlan, Brandon Smith, Darius Taylor, Robbie Reid, ?,

Front Row: Ron Oliver, Jerod Ward, Josh Asselin, Robert Traylor, Peter Vignier, Erik Szyndlar, Louis Bullock

University of Michigan Men's Basketball Team, 1998

L-R: Ron Oliver (25), Darius Taylor (10), Jerod Ward (32) Robbie Reid (3), Peter Vignier (55), Robert Traylor (54), Josh Asselin (25), Travis Conlan (21), Maceo Baston (30), Brandun Smith (34), Louis Bullock (11)

University of Michigan Men's Basketball Team, 1999

Back Row: asst. coach Scott Trost, asst. coach Kurtis Townsend, Leon Jones, Brandon Smith, Chris Young, Josh Asselin, Peter Vignier, Erik Szyndlar, Darius Taylor, coach Brian Ellerbe

Front Row: equip. mngr. Bob Bland, asst. coach Lorenzo Neely, Donte Scott, Robbie Reid, Louis Bullock, Ron Oliver, admin. assoc. Tom Sorboro, trainer Steve Stricker