Trend Analysis and Environmental Impact Assessment

  • Start Date: November 16, 2021
  • End Date: November 18, 2021
  • Time: 8:30am - 4:00pm
  • City: Revelstoke BC
  • Venue: Okanagan College - Revelstoke campus, 1401 1 St W
  • Instructor: Dr. Carl Schwarz
  • Double-vaccination required to attend this in-person course

Course description

Environmental impact assessments want to know if trends over time differ between control and impact sites. Statistical methods for the analysis of trends over time use many of the same methods as the analysis of experimental data (e.g. ANOVA, regression) but must now deal with problems such as autocorrelation and process error.

Course content

  1. Review of statistical concepts on estimates, standard errors, confidence intervals, p-values, bias, precision, accuracy,
    missing values, etc.
  2. Detecting linear changes over time
    Regression and non-parametric methods
    Power and how many years to monitor
    Dealing with seasonality and autocorrelation
    Sampling vs process error
    Pooling slopes (ANCOVA)
  3. Detecting step changes over time
    ANOVA and non-parametric methods
    Power and how many years to monitor
    Dealing with seasonality and autocorrelation
    Sampling vs process error
  4. BACI designs and variants
    Simple Before and After Controlled Impact design (BACI) – Introduction to two factor ANOVA
    BACI with multiple sites
    BACI with multiple years/multiple sites before/after
    Paired BACI with multiple years/multiple sites before/after
    Regression BACI (analysis of covariance)
    Power/sample size

**This course is primarily for students using R software. If you are using JMP software and have interest in this course contact Hailey to discuss: 




Dr. Carl Schwarz, recently retired from the Department of Statistics and Actuarial Science, Simon Fraser University. Carl has taught many courses with CMI over the years and after a short break imposed by COVID19 he’ll teach with us again come fall 2021.

Carl has won many awards including the SSC Award for Impact of Applied and Collaborative Work.

Required software

  • Base R and Rstudio (available for Mac, Linux and Windows systems)
  • Adobe Reader
  • Microsoft Excel
  • More detailed software requirements can be found here

Preparation for the course

  • About 2 weeks before the course you will be sent a web link where you can download pre-reading, a course manual, a set of practice exercises to load on your computer before the class, and a reminder about where to get the course software.
  • You will need to bring your own laptop pre-loaded with the required software and downloaded files.
  • Consider bringing along an external monitor and an external keyboard if you have a small laptop.
  • You will need to make your own hotel booking, and remember to ask for the rates we’ve arranged for people attending this course (see below).

**You course starts at 8:30 a.m. sharp, you will need to arrive before that so you can set up your computer.



Registration includes catered breaks provided by Terra Firma Kitchen and there is an option to add in bagged lunches for $14/day.

CMI Member: $675.00*

Non-member:  $720.00

*NOTE: You can purchase your $40 membership at the same time as you register.  See more about membership here.

Registration is now closed.


Where to stay? 

We have set up a discounted group rate at the Stoke Hotel of $109 + tax /night, or $119+tax /night for double queen room. Hot breakfast included, outdoor hot tub on site. When booking your room ask for the “CMI rate.”


COVID19 Protocol

CMI will be following the guidelines provided by the Province of BC’s Public Health Authority to keep us all safe during the COVID19 Pandemic. See here for current protocols – all students must review this document before the field component of this course.


  • Phone 250-837-9311
  • Fax 250-837-9311
  • Email

Mailing Address

  • P.O. Box 2568
  • Revelstoke, British Columbia V0E 2S0
Content © Columbia Mountains Institute of Applied Ecology
Site by Perimeter  •  Updated by CMIAE  •  LOGIN