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Stock-based Compensation Plans (Tables) | 9 Months Ended
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Sep. 30, 2021
Allocation of Stock-Based Compensation by Functional Category | The following details the allocation of stock-based compensation to functional expense categories (in thousands):
|  | Three Months Ended September 30, |  |  | Nine Months Ended September 30, |
|  | 2021 |  |  | 2020 |  |  | 2021 |  |  | 2020 |
Direct operating expense |  | $ | 319 |  |  | $ | (74 | ) |  | $ | 986 |  |  | $ | 810 |
Brokered natural gas and marketing expense |  |  | 446 |  |  |  | 324 |  |  |  | 1,339 |  |  |  | 905 |
Exploration expense |  |  | 368 |  |  |  | 189 |  |  |  | 1,116 |  |  |  | 891 |
General and administrative expense |  |  | 9,845 |  |  |  | 6,863 |  |  |  | 28,632 |  |  |  | 24,071 |
Termination costs |  |  | — |  |  |  | 2,020 |  |  |  | — |  |  |  | 2,020 |
Total stock-based compensation expense |  | $ | 10,978 |  |  | $ | 9,322 |  |  | $ | 32,073 |  |  | $ | 28,697 |
Restricted Stock and Restricted Stock Units Outstanding | The following is a summary of the status of our non-vested restricted stock outstanding at September 30, 2021:
|  | Restricted Stock Equity Awards |  |  | Restricted Stock Liability Awards |
|  | Shares |  |  | Weighted Average Grant Date Fair Value |  |  | Shares |  |  | Weighted Average Grant Date Fair Value |
Outstanding at December 31, 2020 |  |  | 2,815,860 |  |  | $ | 4.97 |  |  |  | 1,186,636 |  |  | $ | 4.18 |
Granted |  |  | 2,340,114 |  |  |  | 10.20 |  |  |  | 1,288,729 |  |  |  | 9.55 |
Vested |  |  | (1,820,011 | ) |  |  | 7.37 |  |  |  | (1,316,542 | ) |  |  | 6.98 |
Forfeited |  |  | (79,732 | ) |  |  | 6.30 |  |  |  | — |  |  |  | — |
Outstanding at September 30, 2021 |  |  | 3,256,231 |  |  | $ | 7.36 |  |  |  | 1,158,823 |  |  | $ | 6.98 |
Schedule of Share Based Payment Award Performance Stock Awards Valuation Assumptions | The following assumptions were used to estimate the fair value of TSR-PSUs granted during first nine months 2021 and 2020:
|  | Nine Months Ended September 30, |
|  | 2021 |  |  | 2020 |
Risk-free interest rate |  |  | 0.2 | % |  |  | 1.4 | %
Expected annual volatility |  |  | 75 | % |  |  | 65 | %
Grant date fair value per unit |  | $ | 12.58 |  |  | $ | 3.85 |
Performance-based Internal Performance Awards |
Summary of Non-Vested Awards Activities | The following is a summary of our non-vested internal performance awards outstanding at September 30, 2021:
|  | Number of Units |  |  | Weighted Average Grant Date Fair Value |
Outstanding at December 31, 2020 |  |  | 1,099,102 |  |  | $ | 5.92 |
Units granted (a) |  |  | 303,231 |  |  |  | 9.81 |
Vested and issued (b) |  |  | (306,978 | ) |  |  | 12.20 |
Forfeited |  |  | — |  |  |  | — |
Outstanding at September 30, 2021 |  |  | 1,095,355 |  |  | $ | 7.80 |
Performance Based TSR - PSUs |
Summary of Non-Vested Awards Activities | The following is a summary of our non-vested TSR-PSUs award activities:
|  | Number of Units |  |  | Weighted Average Grant Date Fair Value |
Outstanding at December 31, 2020 |  |  | 1,249,524 |  |  | $ | 9.55 |
Units granted (a) |  |  | 223,687 |  |  |  | 12.58 |
Vested and issued (b) |  |  | (325,217 | ) |  |  | 18.51 |
Forfeited |  |  | — |  |  |  | — |
Outstanding at September 30, 2021 |  |  | 1,147,994 |  |  | $ | 7.60 |
(a) | These amounts reflect the number of performance units granted. The actual payout of shares may be between zero and 200% of the performance units granted depending on the total shareholder return ranking compared to our peer companies at the vesting date.
(b) | Includes TSR-PSUs awards issued related to the 2018 performance period where the return on our common stock was negative and therefore, the performance multiple and actual payout was reduced to 100%.

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